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PLOS One logoLink to PLOS One
. 2021 Feb 22;16(2):e0239170. doi: 10.1371/journal.pone.0239170

Human uniqueness? Life history diversity among small-scale societies and chimpanzees

Raziel J Davison 1,2,*, Michael D Gurven 1,2
Editor: Masami Fujiwara3
PMCID: PMC7899333  PMID: 33617556

Abstract

Background

Humans life histories have been described as “slow”, patterned by slow growth, delayed maturity, and long life span. While it is known that human life history diverged from that of a recent common chimpanzee-human ancestor some ~4–8 mya, it is unclear how selection pressures led to these distinct traits. To provide insight, we compare wild chimpanzees and human subsistence societies in order to identify the age-specific vital rates that best explain fitness variation, selection pressures and species divergence.

Methods

We employ Life Table Response Experiments to quantify vital rate contributions to population growth rate differences. Although widespread in ecology, these methods have not been applied to human populations or to inform differences between humans and chimpanzees. We also estimate correlations between vital rate elasticities and life history traits to investigate differences in selection pressures and test several predictions based on life history theory.

Results

Chimpanzees’ earlier maturity and higher adult mortality drive species differences in population growth, whereas infant mortality and fertility variation explain differences between human populations. Human fitness is decoupled from longevity by postreproductive survival, while chimpanzees forfeit higher potential lifetime fertility due to adult mortality attrition. Infant survival is often lower among humans, but lost fitness is recouped via short birth spacing and high peak fertility, thereby reducing selection on infant survival. Lastly, longevity and delayed maturity reduce selection on child survival, but among humans, recruitment selection is unexpectedly highest in longer-lived populations, which are also faster-growing due to high fertility.

Conclusion

Humans differ from chimpanzees more because of delayed maturity and lower adult mortality than from differences in juvenile mortality or fertility. In both species, high child mortality reflects bet-hedging costs of quality/quantity tradeoffs borne by offspring, with high and variable child mortality likely regulating human population growth over evolutionary history. Positive correlations between survival and fertility among human subsistence populations leads to selection pressures in human subsistence societies that differ from those in modern populations undergoing demographic transition.

Introduction

Humans and chimpanzees, whose recent common ancestor dates to 4–8 million years ago [1, 2], share behavioral adaptations and life history traits that distinguish them from other primates [3, 4]. Human fertility schedules are similar to chimpanzees except for menopause, which appears unique among mammals, apart from a few toothed whale species [5]. Human fertility declines well in advance of survival, whereas reproductive and actuarial senescence appear to occur together in chimpanzees [6]. In addition, mortality profiles of modern hunter-gatherers are closer to chimpanzees than they are to today’s low-mortality post-industrialized populations [7], but there is much variation among human and chimpanzee life histories [8, 9]. Despite this variation, primates are generally viewed as falling along the slow end of a slow-fast life history continuum [10] due to delayed maturity, longevity and relatively low fertility [11], with humans at the slowest end of primates [12]. Here, we evaluate human uniqueness by identifying the vital rates that drive life history variation among populations within each species as well as between species. In doing so, we also characterize the tradeoffs [13] that may have shaped human life history evolution.

Whereas many contemporary small-scale societies are growing rapidly [14], documented chimpanzee populations are typically shrinking, though favorable conditions promote increase in some wild groups [15, 16]. With the largest high-quality dataset assembled to date on fertility and mortality among human subsistence societies and chimpanzees [17], we employ life table response experiments [LTREs, 18, 19] to quantify the importance of particular age classes for driving population growth and to identify the vital rates that best explain the divergence of human and chimpanzee life histories. As a mathematical tool designed to decompose population growth rates into age-specific demographic components, LTREs are typically used to aid conservation efforts for endangered species. To our knowledge, this is the first application of LTREs to humans.

Although demographic patterns are well-described for many primate species, including chimpanzees [2022], we provide a comprehensive, up-to-date and timely comparison of human and chimpanzee life histories using several metrics designed to assess the fitness importance of survival and fertility at different ages: fitness contributions illustrate how life history event schedules drive observed population fitness differences within and between species, while fitness elasticities reflect the force of selection and highlight the potential for fitness contributions if vital rates vary across populations [23]. Elasticities provide prospective predictions of the potential for vital rate effects on fitness (% change in fitness expected due a % change in a vital rate), but they do not always predict the most important vital rates that actually explain population-level differences in fitness [24]. Observed population-level fitness differences are estimated retrospectively through LTREs, which decompose population-level differences on the basis of observed differences in vital rates [24, 25].

Previous human-chimpanzee comparisons have used fewer populations, focused primarily on composite fertility and longevity differences, and have not systematically quantified species life history differences [8, 22]. Because species comparisons are complicated by within-species life history variation [21], we: (a) compare species mean life histories (hereafter referred to as “composite” life histories), and (b) characterize the population drivers among populations of the same species. Using the average hunter-gatherer life history (HG) as a common reference, we compare hunter-gatherers with other natural fertility subsistence societies and with seven chimpanzee populations, including captive and managed populations representing chimpanzee “best case” life histories. We also compare the hunter-gatherer reference to three other composite life histories representing the average life histories calculated across non-exclusive foragers, and across chimpanzee populations exhibiting decreasing vs. increasing population growth. Without relying on model life tables or indirect demographic methods for age assignment or vital rate estimation, our dataset includes ten small-scale societies (five hunter-gatherers, three forager-horticulturalists, a pastoralist society and an “acculturated” hunter-gatherer population with some plant domestication) and seven chimpanzee populations with high quality fertility and mortality data (five wild, one managed and one captive).

We identify the vital rates that are most important in driving population growth and decline using fixed-effect LTREs [18, 19], which decompose contributions of different vital rates to observed differences in population growth rates. Vital rate contributions (Cij) are estimated by multiplying vital rate sensitivities (sij), which reflects the fitness effect of a one-unit change in matrix element aij, by population-level differences (Δaii) in vital rates (Δaij = aij(m)aij(R); Cij = sij Δaii), comparing each observed population (m) with a common reference (R). In our analysis, R refers to the reference HG life history characterized by mean vital rates calculated across the five hunter-gatherer populations. We compare these results with the more familiar and widely-used elasticity analyses that prospectively estimate the potential for fitness effects of vital rates [19, 23]. Differences between realized fitness contributions from LTREs and the potential suggested by elasticities may indicate constraints on life history evolution. For instance, if stabilizing selection reduces variation in important vital rates [26], fitness contributions of high-elasticity rates are likely to be small [27]. More generally, when elasticities overestimate fitness effects this may reflect constraints on the stabilizing selection that would otherwise reduce variation in these important vital rates, whereas underestimation implies that vital rate differences are more important than a priori predictions from the force of selection. We also evaluate three predictions of life history theory based on fitness elasticities: (P1) survival, and especially juvenile recruitment (early infant survival p0), should have the largest effect on population growth [28]; (P2) because both fertility and survival have positive elasticities, intrinsic population growth rates (r) should be greater in populations with higher life expectancy (e0) and with higher total fertility rate (TFR); (P3) elasticity to child survival should be negatively correlated with life expectancy but positively with fertility [29].

P1 relies on the high elasticities of infant and child survival, which are larger than elasticities to adult survival or fertility, to predict that recruitment of juveniles will be most important for population fitness differences [28]. However, if low-elasticity vital rates vary widely between populations, these rates may be more important drivers of population growth than high-elasticity rates (e.g., [30, 31]). Therefore, we systematically compare “importance” metrics to see how well prospective measures (elasticities) predict the vital rates that are actually driving population fitness difference (decomposed using retrospective LTREs).

Previous studies have pointed out limitations of elasticity analysis, such as differences in interpretation when comparing increasing vs. decreasing or small vs. large populations [32]. In addition, interventions based on elasticity analysis alter vital rates but also alter their elasticities [33]. In general, prospective (elasticity) analyses are useful for estimating the force of selection [23] and for identifying potential management targets [25], but LTREs are more appropriate for explaining observed differences in population performance [24].

P2 is the intuitive prediction that population growth should reflect both survival and reproduction, since either will increase population growth, all else equal. However, longevity and fertility may trade off [3436], so an increase in only one or the other may not increase population growth. For instance, greater life expectancy is associated with lower fertility across modern industrial nations [37], driving a negative correlation between life expectancy and population growth [38]. Therefore, the degree (and even the sign) of the correlations of population growth with fertility vs. longevity are empirical questions that we answer in the case of natural fertility subsistence populations and chimpanzees.

P3 arises as a consequence of selection effects on the slow life history of primates [12], with slower life histories exhibiting higher elasticities in early vs. late life, both within and between species [39]. When infant mortality is low, more survive to maturity, thereby reducing the importance of recruitment on population growth. A longer reproductive lifespan also permits replacement of dead offspring with later births, while low fertility raises the average age of a population. Because all of these effects make early infant survival less important to population fitness, elasticity to child survival is predicted to correlate negatively with life expectancy but positively with fertility (P3, [40]). We extend this logic to predict that elasticity to infant survival should also correlate positively with the pace of fertility, and thus negatively with mean age at first birth (AFB), mean age of childbearing (MAC) and inter-birth intervals (IBI) since smaller values increase fertility, but positively with age at last birth (ALB).

Materials and methods

Demographic data

We examine published fertility and mortality rates estimated for ten contemporary, non-industrial small-scale societies with natural fertility and minimal to no access to modern medicine during the period of study (S1-S3 Tables in S1 Data; S1 Text in S1 Data contains ethnographic details): Australian Aborigines (Northern Territory, Australia), Ache (Paraguay), Agta (Philippines), Gainj (Papua New Guinea), Hadza (Tanzania), Herero (Namibia), Hiwi (Venezuela), Ju/’hoansi! Kung (Botswana and Namibia), Tsimane (Bolivia) and Yanomamo (Venezuela and Brazil). We also examine seven chimpanzee populations, including published data for five wild populations at Gombe and Mahale (Tanzania), Kanyawara and Ngogo (Uganda), and Taï (Ivory Coast), a captive population in the Taronga Zoo (Sydney, Australia), and a reintroduced (captive-founded but wild-breeding) population in Gambia (S1-S3 Tables in S1 Data; S1 Text in S1 Data contains metadata). These captive and managed populations are not included in species-level comparative statistics or composite life histories, but are used to reflect “best-case” scenarios for chimpanzees: low mortality in the protected and provisioned Gambia population and high fertility in the captive breeding program at Taronga Zoo. Because fertility estimates for Ngogo chimpanzees are not yet published, we estimate contributions applying fertility estimated at nearby Kanyawara. Also, because the Taronga Zoo mortality data includes few chimpanzee deaths we use mortality data averaged across three zoo populations [41].

We employ parametric models of mortality and non-parametric models of fertility to obtain smoothed annual rates (see S1 Text in S1 Data for details). Briefly, Siler’s [42] five-parameter competing hazard model of mortality jointly models juvenile, age-independent and adult mortality. The Siler model, estimated here with a non-linear regression model (NLIN procedure in SAS 9.4), was employed in previous treatments of human subsistence and chimpanzee mortality because of its simplicity, robustness and interpretability of its parameters [17, 43, 44]. Using the statistical software R (version 3.5.1), we smooth raw fertility data with a local polynomial regression (loess; span = 0.5) and constrain the smoothed data to the observed ages of reproduction by heavily weighting zero values in the single-year age-classes before the minimum age at first birth (age α) and after the last recorded birth (age ω), and imputing values outside this range as zero. Resulting smoothed fertility was rescaled evenly across age to conserve the TFR from raw data (S1 Fig in S1 Data) and statistical predictions of AFB and ALB are close to those of source estimates (S2 Fig in S1 Data).

Data analysis

We construct a female age-structured Leslie [45] population projection matrix A (A = {aij}) where matrix elements aij describe the number (ni) of age i individuals alive in the population at time t+1 that are contributed by one age j individual alive at time t, either via individual survival (ax+1,x = px) or fertility transitions (a1x = mx) ([19]; Table 1 contains variable definitions; S1 Text in S1 Data contains details of matrix model methods and calculations of life history traits). Population size is updated by applying the population projection matrix A to the population age structure n (n = {ni}) and stable asymptotic population growth is described by the dominant eigenvalue λ (n(t+1) = A n(t) = λ n(t)). From the matrix A we calculate vital rate sensitivities (sij = (d λ / d aij)) reflecting the force of selection on a vital rate as well as elasticities (Eij) scaling the proportional effect on population growth (Eij = sij (aij / λ) [19]. Because elasticities conveniently sum to unity (1 = Σi,j Eij), we can add elasticities across vital rates across age x to estimate the total elasticity to survival (Es = Σx Ex+1,x) or to fertility (Ef = Σx E1x; 1 = Es + Ef), or sum across specific ages (e.g., before or after reproductive maturity at age α) to distinguish the elasticity to survival through childhood (Ec = Σx<α Ex+1,x) vs. elasticity to survival through adulthood (Ea = Σx≥α Ex+1,x; Es = Ec + Ea).

Table 1. Variable definitions.

Symbol Variable Equation Symbol Variable Equation
AFB mean age at first birth AFB=xmxa=0x1(1ma) MAC mean age of childbirth MAC=2.05TFRxxmx.
ALB mean age at last birth ALB=xmxa=xT(1ma). mx fertility rate (daughters) mx = a1x = ASFR/2.05
A(n) population projection matrix A(n) = {aij}(n) n population index n = 1, 2, 3, …, M
A(R) reference population A(HG)=En(A(nhuntergatherers)) nx,t population size age x at time t nx,t = A nx,t-1
aij matrix element age i added at (t+1) per age j alive (t) px survival probability px = ax+1,x
Ca adult survival effect (relative) Cc=(x=0α1|Cx+1,x|)/(0T|Cx+1,x|+AFBALB|C1x|) qx probability of death qx = 1—px
Cc child survival effect (relative) Cf=(x|C1x|)/(x|Cx+1,x|+x|C1x|) r intrinsic growth rate r = log (λ)
Cf total fertility effect (relative) Cij=sijΔaij;Δλ=i,jCij sij sensitivity sij = Δλaij
Cij LTRE contribution (+/-) Cij*=Cij÷(i,j|Cij|);1=i,j|Cij*| total fertility rate TFR=xASFR=x2.05mx.
Cij* LTRE effect (relative magnitude) Cs = sx+1,xΔ ax+1,x v reproductive value left eigenvector of A
Cs survival contribution Es=xex+1,x;1=ES+EF. w stable age distribution right eigenvector of A
Ea total elasticity to adult survival Ef=xe1x T maximum age at death T = min(x|px = 0)
Ec total elasticity to child survival Ef = e1x x age x = {0, 1, 2, …, T}
Ef total elasticity to fertility Es = ex+1,x Zc ratio of elasticities (child survival) Zc = Cc: Ec
Es total elasticity to survival E0 = max (eij) = e21 Zf fertility contribution: elasticity ratio Zf = Cf: Ef
E0 maximum elasticity (newborn survival) e0=xlx α minimum age at first birth α = min(x|mx>0)
e0 life expectancy (at birth) eij = (aij / λ) sij λ population growth rate dominant eigenvalue of A
IBI inter-birth interval IBI = TFR / (ALB—AFB + 1) μx mortality rate μx = log (1-px)
lx survivorship lx=a=0x1pa ω maximum age at last birth ω = max(x|mx>0)

Columns contain the variable symbol, variable name and source equation for the demographic parameters estimated in our analyses.

Differences in population growth rates (λ, r = ln λ) are decomposed into positive and negative contributions (Cij) made by vital rate differences (Δaij) to the total difference Δλ using a one-way fixed-treatment life table response experiment, or LTRE (Δλ = Σi,j Cij = Σi,j sij Δaij; Δaij = aij(m)aij(R); [19]; S1 Text in S1 Data). Here, each population m (m = 1, 2, 3, …, M) is compared to a common (composite) reference (R) life history, here exhibiting the average fertility and survival rates estimated across hunter-gatherers (labeled HG and summarized in the matrix A(HG)). Species differences are highlighted by comparing this common reference to composite life histories exhibiting vital rates averaged across all wild chimpanzees (WC), and within-species differences are summarized by results for composite life histories estimated separately for exclusive hunter-gatherers (HG) vs. non-forager (NF) subsistence populations and for increasing (WC+) vs. decreasing chimpanzees (WC-). In addition to vital rate contributions (Cij) that sum to estimate the total difference in population growth rates (ΔλΣi,j Cij), we also examine combined effects (Cij* = |Cij| / Σi,j |Cij|). Because these metrics are analogous to elasticities in that they sum to unity (1 = Σi,j Cij*), they reflect the proportion of total fitness contributions due to effects restricted to certain life stages (e.g., across childhood vs. adulthood: Cc = Σx<α Cx+1,x*; Ca = Σx≥α Cx+1,x*; Cs = Σx Cx+1,x*; Cf = Σx C1x*; 1 = Cs + Cf; Cs = Cc + Ca). Therefore, we can examine the relative ‘importance’ of each life cycle component for driving population growth and we compare those metrics directly to prospective elasticities using ternary diagrams that predict the potential for fitness effects of fertility vs. child and adult survival [46]. For more detailed comparison, fertility is binned into early, prime and late fertility effects at the ages when completed fertility is 0–25%, 25–75% and 75–100% of the total fertility rate (TFR) in the hunter-gatherer reference (ages 0 to 22, 23 to 35, and 36 to 50, respectively). To aid interpretation of population differences, we calculate standard demographic rates: mortality hazard (μx), survivorship (lx), life expectancy at birth (e0), total fertility rate (TFR), mean age at first birth (AFB), mean age of childbearing (MAC), mean age at last birth (ALB) and mean inter-birth intervals (IBI) (Table 1; S1 Text in S1 Data contains calculations).

We also evaluate three predictions of population biology and life history theory (P1-P3).

P1. Because early survival is under the strongest selection, reflected in high fitness elasticities for early survival, differences in early survival should have the largest effect on population growth. This is because fitness contributions (Cij) of matrix element (aij) that reflect vital rate differences (Δaij) are scaled by elasticities Eij (Cij = Eij Δaij). Because early survival (p0) has highest elasticity (E0), it has the potential to make the largest fitness contributions, given the same proportional difference in a particular vital rate.

Child survival has the largest potential for fitness effects [28], so we expect child survival differences to have substantial effects on population performance. However, strong stabilizing selection may canalize important rates and reduce temporal variation within populations [26]; if such canalization applies broadly across environments, population variation in those age-specific vital rates may be limited as well, thereby reducing those LTRE contributions [27]. Our between-population comparisons are not necessarily a reliable ‘space-for-time’ substitution for vital rates under selection [47], but time-series demographic data exist for only a few study populations. Analyses of those longitudinal data revealed similar level of vital rate variation within groups over time as between them [17]. Thus, if the variation in vital rates documented across continents, cultures and environments is similar to that observed within populations over time, we should expect child survival effects based on cross-population analysis to also be smaller than elasticities predict [27].

We calculate a scalar ratio (Zij) that reflects the actual realized fitness contributions of vital rates, relative to the potential suggested by elasticities (Zij = Cij* / Eij). Because both vital rate effects (Cij*) and elasticities (eij) sum to unity, we can estimate Z across all of childhood (Zc = Cc / Ec) or across adulthood (Za = Ca / Ea), as well as for lifetime survival (Zs = Cs / Es) and for lifetime fertility (Zf = Cf / Ef). Values of Z > 1 indicate greater importance of actual fitness contributions based on retrospective LTREs, whereas Z < 1 indicates contributions smaller than the potential indicated by prospective elasticities.

P2. We calculate correlations between population growth rates (r = ln λ) and two emergent life history traits: life expectancy (e0) and lifetime fertility (TFR).

P3. After confirming that early infant survival (p0 = a12) has the highest elasticity rate (E0 = E21 = max(Eij)), we calculate correlations between E0 and: (a) longevity (e0), (b) lifetime fertility (TFR), (c) mean age at first birth (AFB), (d) mean age at childbearing (MAC), (e) mean age at last birth (ALB) and (f) inter-birth intervals (IBI). We report p-values from non-parametric Mann-Whitney-Wilcoxon rank-sum tests used for all statistical tests of differences in means; for associations we report Pearson correlation coefficients r and significance p-values. All results were computed using Matlab.

Results

Vital rates and elasticities

Mortality

Early infant mortality (age 0–1) is higher, on average, among hunter-gatherers than among chimpanzees (increasing or declining), while late infant mortality (age 1–2) is higher among hunter-gatherers than among increasing chimpanzee populations. However, at all other ages mortality rates are lower among hunter-gatherers than chimpanzees (Fig 1A; S3 Fig in S1 Data). Non-foragers have lower mean mortality than hunter-gatherers except between ages 53–64, where they are equivalent. Human life expectancies in our sample are more than twice those of wild chimpanzees (e0; p = 0.005, Wilcoxon rank sum test) and are marginally higher among non-foragers than among hunter-gatherers (p = 0.056; Fig 2A; S4 Table in S1 Data). Captive and reintroduced populations are at the upper end of the wild chimpanzee range of longevity and several hunter-gatherer populations are at the lower end of the human range (Fig 2A).

Fig 1. Summary statistics for vital rates and elasticities.

Fig 1

95% Confidence Intervals (Mean ± 2 SEM) are calculated across the age-specific vital rates estimated for five hunter-gatherer societies (dark blue fill, solid lines), five non-exclusive forager societies (light blue fill, dotted lines), and five wild chimpanzee populations (red fill, dashed lines). (A), Mortality (μx). (B), Age-specific fertility rate (ASFR). (C), Survival elasticities (Ex+1,x). (D), Fertility elasticities (E1x).

Fig 2. Summary of demographic measures for chimpanzee and human populations.

Fig 2

(A) Stacked bars indicate survivorship (%) to maturity (lα), to mean age of reproduction (lM) and to maximum age of reproduction (lω); life expectancy (e0) is indicated by a large asterisk. (B) Stacked bars indicate rough ages at each parity from zero (nulliparous) to the total fertility rate (TFR) estimated for each population. Parity is indicated by inset text in each stacked bar, TFR is indicated above each bar and the mean interbirth interval (IBI) is in bold text inset in the lowest (nulliparous) bar. Vertical dashed lines separate Hunter-gatherers (HG), Non-Foragers (NF) and Wild Chimpanzees (WC). Hunter-gatherers are labeled: Ac (Ache), Ag (Agta), Ha (Hadza), Hi (Hiwi), Ku (Ju/’hoansi! Kung), hunter-gatherer mean life history (HG). Non-foragers are labeled: Ab (Aborigines), G (Gainj), Ts (Tsimane), Y(Yanomamo), He (Herero), non-forager mean life history (NF). Chimpanzee populations are labeled: Go (Gombe), Ka (Kanyawara), N (Ngogo), Ti (Taï), wild chimpanzee mean life history (WC), Ga (Gambia), Tr (Taronga).

After age 4, human mortality rates are lower than those in any chimpanzee population, but early infant mortality (age 0 to 1) is higher than the chimpanzee mean in five small-scale societies (the Agta, Hadza, Hiwi, Ju/’hoansi! Kung and Yanomamo). Late infant mortality (age 1 to 2) in our sample is lowest among the managed Gambia chimpanzees, and the lowest mortality between ages 2 and 4 is among wild Ngogo chimpanzees (S3 Fig in S1 Data). Humans are marginally more likely than chimpanzees to survive to their later age of reproductive maturity (lα; p = 0.099), but are significantly more likely to survive to the mean age of childbirth (lM; p = 0.040) and to the maximum age of reproduction (lω; p = 0.005; Fig 2A; S4 Table in S1 Data). These species differences are driven more by non-foragers (p = 0.095 [lα]; p = 0.032 [lM], p = 0.016 [lω]), since survivorship among hunter-gatherers is lower than among non-foragers (p = 0.032 [lα]; p = 0.016 [lM]; p = 0.095 [lω]). Only survivorship to the maximum ALB is significantly higher among hunter-gatherers than among chimpanzees (lω; p = 0.032; Fig 2A, S4 Table in S1 Data).

Fertility

Although mean survival-conditioned fertility (TFR) is similar among humans and chimpanzees (p > 0.1; Fig 2B; S4 Table in S1 Data), maximum lifetime fertility is highest among humans (Tsimane TFR = 9.2; Fig 2B) and as noted above (lω comparison), very few chimpanzees survive to complete their potential TFR (10% of chimpanzees, compared to 33% of hunter-gatherers and 49% of non-foragers). As noted in previous studies [6], chimpanzees have earlier mean AFB (p = 0.001) and MAC (p = 0.005) than humans, but later mean ALB (p = 0.037) and longer IBIs (p = 0.017) (Fig 2B, S4 Table in S1 Data). Earlier ALB among managed chimpanzees is due to small sample sizes and use of contraception at Taronga Zoo [48] and other factors related to prior captivity at Gambia [49], so we include only wild chimpanzees in our correlations and difference tests. While both hunter-gatherers and non-foragers have later AFB than chimpanzees (p = 0.008 for each), non-foragers and chimpanzees have similar MAC (p = 0.056) and IBI (p > 0.1), and hunter-gatherers and chimpanzees have similar ALB (p > 0.1). Chimpanzee interbirth intervals calculated using these AFB and ALB estimates (mean±SD IBI = 3.6±0.3y) exceed human IBIs (p = 0.017), but this difference is only significant for hunter-gatherers (p = 0.008; S4 Table in S1 Data). These chimpanzee IBIs are also shorter than the 5.1–6.2y intervals reported elsewhere [6, 50]. As might be expected, our IBI estimate falls between those calculated for mothers whose offspring died before vs. after age four (2.2 y and 5.7 y, respectively [6]), with our lower estimate reflecting the averaged effects of infant mortality on birth spacing. Closer examination shows population differences in the tempo of fertility (Fig 2B; S3 Fig in S1 Data).

Elasticities

Compared to chimpanzees, human elasticity to early infant survival is lower (E0; p = 0.001; p = 0.008 [hunter-gatherers]; p = 0.016 [non-foragers]), but elasticities to child survival (Ec; p = 0.099; p = 0.095 [hunter-gatherers]; p > 0.1 [non-foragers]) and to adult survival are similar to chimpanzees (Ea; p > 0.1), and total elasticity to human fertility is lower (Ef; p = 0.001 [humans]; p = 0.008 [hunter-gatherers]; p = 0.016 [non-foragers]) (Figs 1D and 3A; S4 Fig in S1 Data; S4 Table in S1 Data). Fertility elasticities may climb rapidly with age (e.g., Herero, Yanomamo and Taï chimpanzees) or slowly (e.g., Ache, Hadza and Tsimane) depending on the pace of fertility, but decrease at approximately the same rate as survival elasticities due to mortality attrition affecting both simultaneously (Fig 1C and 1D).

Fig 3. Ternary diagrams of elasticities and contributions.

Fig 3

(A) Populations are arranged using the summed fitness elasticities for vital rates underlying child survival (Ec, left axis), adult survival (Ea, right axis) and fertility (Ef, bottom axis). (B) Populations are arranged using the summed fitness effects (contribution magnitudes) made by differences in child survival (Cc, left axis), adult survival (Ca, right axis) and fertility (Cf, bottom axis).

Fitness contributions

All ten small-scale societies and two wild chimpanzee populations were growing, but two chimpanzee groups were declining slowly and one was collapsing (Figs 4 and 5). However, due to wide variation among our small sample, population growth differences were not statistically significant (r = log λ, p > 0.1; S4 Table in S1 Data). Compared to the hunter-gatherer reference, declining wild chimpanzees had similar fertility but lower net survival contributions and increasing chimpanzees had survival comparable to hunter-gatherers but higher net fertility contributions, while non-foragers had higher survival but slightly lower net fertility contributions (Figs 4 and 5A; S4 Table in S1 Data). Lower early infant (age 0) mortality elevated population growth among both increasing and declining chimpanzees, but higher mortality at other ages made negative net contributions in every chimpanzee population except for Ngogo (Figs 4 and 5A).

Fig 4. Net contributions of fertility (x-axis) and survival (y-axis) from a Life Table Response Experiment (LTRE) comparing humans and chimpanzees to the mean life history estimated across five hunter-gatherer societies.

Fig 4

Hunter-gatherer societies are indicated by filled circles, non-foragers by filled squares and chimpanzees by open circles; the non-forager mean life history (labeled NF) and the mean life histories for declining (WC-) and increasing (WC+) chimpanzees are each indicated with a black-and-white dot, and the mean hunter-gatherer (HG) reference by a bullseye at the origin. Contours show population growth rate (r) isoclines with a bold line at r = 0. Compared to the HG reference, populations have positive net survival contributions if they fall above the horizontal dashed line and positive fertility contributions if they fall to the right of the vertical dashed line. Humans are labeled: Ab (Aborigines), Ac (Ache), Ag (Agta), G (Gainj), Ha (Hadza), He (Herero), Hi (Hiwi), Ku (Ju/’hoansi! Kung), Ts (Tsimane), Y(Yanomamo); chimpanzee populations are labeled: Ga (Gambia), Go (Gombe), Ka (Kanyawara), N (Ngogo), Ti (Taï), Tr (Taronga).

Fig 5. Summed contributions for each composite life history.

Fig 5

(A), stacked bars show summed contributions of infant, child and adult survival and of early, prime and late fertility to the net difference (Δr) in population growth rate (inset white bars) between the composite mean hunter-gatherer reference (HG) and each focal population, with the black-and-white line crossing the bars indicating the focal population growth rate (r = log(λ)). Note that positive and negative contributions are summed separately above and below the horizontal line at zero, and thus may reflect opposing contributions from the same life cycle component (e.g., negative and positive contributions of early vs. late infant mortality, respectively, if Δp0 < 0 and Δp1 >0). Results are shown for four composite life histories with vital rates averaged over: declining chimpanzees (WC-), all wild chimpanzees (WC), increasing chimpanzees (WC+), hunter-gatherers (HG), or non-foragers (NF). HG (indicated by a bullseye) has zero contributions by definition because it is the common reference. (B), total effects (Σ Cij*) reflecting the combined magnitude of contributions, are averaged across the populations within each of the groupings in (A) plus averaged across all human groups (HS), in contrast to the results for the pre-averaged mean life histories shown in (A). Stacked bars decompose the mean total effect (the proportion of the combined magnitude of all contributions) made by infant, child and adult survival and by early, prime and late fertility (inset text shows the percent of total effects, with late fertility effects labeled above the bars).

Positive contributions of chimpanzees’ higher early fertility up to age 22 (age 29 at Kanyawara) were partially offset by lower prime-age fertility between ages 23 and 35, which comprises half of the mean human TFR (Fig 5A), with higher survival allowing positive net contributions of late fertility among increasing but not decreasing chimpanzees. The rapid population growth of non-foragers was mainly due to higher survival at all ages, but offset by prime and late-age fertility, which was lower than in the hunter-gatherer reference (Fig 5A).

Despite differences in the signs of fertility and survival contributions, the relative magnitudes of vital rate effects were similar across populations (p > 0.01, Fig 5B; S4 Table in S1 Data). The only significant difference between hunter-gatherers, non-foragers and chimpanzees was that survival effects are stronger among chimpanzees than non-foragers (Cs; p = 0.032) and fertility effects were stronger among non-foragers than among chimpanzees (Cf; p = 0.032; Fig 5B; S4 Table in S1 Data).

Because so few chimpanzees survive to advanced ages, large differences in the potential for late-life fertility contributed little to population growth. Among humans, high survival drove population growth among non-foragers; among hunter-gatherers, lower early fertility effects were offset by higher prime- and late-age fertility (Fig 5A; S5, S7 Figs in S1 Data).

Among chimpanzees, population decline at Gombe was similar to the rate calculated for the mean chimpanzee life history, whereas decline at Mahale was slower despite high infant mortality because of higher adult survival and early fertility. Positive population growth at Kanyawara and Ngogo was due to lower mortality and higher prime fertility (S6, S7 Figs in S1 Data). At Taï, high juvenile and adult mortality drove precipitous decline (r = -9.6%) despite low infant mortality and fertility near the chimpanzee mean. The managed population at Gambia was near-stationary with longevity balancing low fertility, and the Taronga Zoo population was growing rapidly with an active breeding program.

Although human fertility was mostly lower than chimpanzees, the populations with the highest growth rates (i.e., Tsimane, Yanomamo, and chimpanzees at Ngogo and Taronga Zoo) also had high fertility (S5, S7 Figs in S1 Data). The Ju/’hoansi! Kung, Gainj and Hiwi were all near stationary population growth–the Hiwi because of low infant survival and low fertility, whereas the Gainj and Ju/’hoansi balanced higher survival with lower fertility (Figs 4 and 5A; S5, S7 Figs in S1 Data). Among Herero pastoralists, high survival at all ages offset very low fertility. The Agta and Hadza both had low early fertility, but high infant mortality drove slower growth among the Agta despite higher prime and late fertility. Relatively rapid growth among the Northern Territory Aborigines was due to high survival offsetting low fertility at all ages, whereas the Ache grew faster due to high prime and late fertility. Very rapid growth was due to survival and early fertility among the Yanomamo and due to survival and late fertility among the Tsimane.

We now test our three predictions governing the role of elasticities and fitness contributions on shaping the life course of humans and chimpanzees.

P1. In agreement with P1, infant mortality rates have the largest elasticity and in many human populations high infant mortality substantially reduced population growth relative to the HG reference. Early infant survival made the largest fitness contribution (C* = p0) in four out of five hunter-gatherer societies, four out of five non-foragers and three out of five wild chimpanzee populations, with later infant survival (p1) making the largest contribution among the Hiwi and the Yanomamo and among chimpanzees at Mahale and Ngogo. Also consistent with P1, the combined effects of infant and child survival across the life cycle were larger than adult survival effects (Cc > Ca; p < 0.001 [humans]; p = 0.008 [hunter-gatherers]; p = 0.048 [non-foragers]; p = 0.008 [chimpanzees]) and larger than fertility effects in chimpanzees (Cc > Cf; p = 0.008 [chimpanzees]) (Fig 5B, S5 Table in S1 Data).

However, fertility effects were unexpectedly larger than child survival effects in humans (Cc < Cf; p < 0.001 [humans]; p = 0.008 [hunter-gatherers]; p = 0.008 [non-foragers]; Fig 5B; S5 Table in S1 Data, S8 Fig in S1 Data). Across all populations pooled and across hunter-gatherers alone, fertility and total survival effects were equivalent (CsCf; p > 0.1), but total survival effects were larger than fertility effects among chimpanzees (Cs > Cf; p = 0.016) and smaller among non-foragers (Cs < Cf; p = 0.008) (Fig 5B; S5 Table in S1 Data).

Elasticities estimate the force of selection and reflect the potential for fitness effects if vital rates differ, while the observed effects of vital rates depend on population-level differences. As these measures can differ widely (Fig 3A vs. 3B), the ratio of effect:potential is a useful metric to help inform us about the tradeoffs constraining life history evolution. Although elasticities predicted that child survival would contribute greatly to fitness differences, these rates did not account for as high a proportion of observed effects among humans as predicted on the basis of elasticities alone (Ec vs. Cc, Fig 3). Adult survival effects were overestimated by elasticities (i.e., Z << 1 because C << E) even more than juvenile survival effects among chimpanzees (Zc > Za; p = 0.016) and (marginally) more among non-foragers (Zc > Za; p = 0.095). Across all populations, fertility effects were grossly underestimated by elasticities (Zc << Zf; p = 0.008; Fig 3; Table 2; S5 Table in S1 Data), hence all populations hover to the right of the elasticity ternary triangle (Fig 3A) but are more scattered in the fitness triangle (Fig 3B).

Table 2. Fitness effect: Potential ratios.

Measure: Zc Za Zs Zf Measure: Zc Za Zs Zf Measure: Zc Za Zs Zf
Units: % % % % Units: % % % % Units: % % % %
Ache H 95 13 49 1509 Aborigine A 71 36 50 1318 Gombe W 71 69 70 794
Agta H 114 23 72 887 Gainj F 44 12 34 2092 Kanyawara W 99 42 66 894
Hadza H 72 70 71 883 Tsimane F 75 24 48 1450 Mahale W 129 20 66 899
Hiwi H 58 49 53 1338 Yanomamo F 49 15 37 1599 Ngogo W† 80 17 44 1411
!Kung H 37 14 27 2083 Herero P 50 29 41 1574 Tai W 55 125 89 320
HG Mean * 0 0 0 0 NF Mean * 110 34 64 1028 P.t. Mean * 69 79 74 684
H.s. Mean * 115 34 64 1044 * Mean Life History     Gambia M 60 46 53 1079
            Composite Life History   Taronga C† 67 19 33 1249

Ratios (Z = C/E) of realized retrospective fitness contributions to the potential reflected in prospective elasticities for child survival (Zc), adult survival (Za), all survival (Zs) and fertility (Zf). Separated rows show results for the mean life histories of hunter-gatherers (HG Mean, the LTRE reference), non-foragers (NF Mean), human small-scale societies (Homo sapiens, H.s. Mean), and wild chimpanzees (Pan troglodytes, P.t. Mean). Human subsistence modes in the second column are abbreviated: H (hunter-gatherer), A (acculturated hunter-gatherer), F (forager-horticulturalist) or P (pastoralist); chimpanzee management status is abbreviated: W (wild), M (managed) or C (captive).

P2. Consistent with P2, population growth (r) was positively correlated with life expectancy (e0) across our two-species sample (r = 0.67, p = 0.006) and (marginally) across chimpanzee populations (r = 0.83, p = 0.084), whereas population growth (r) and fertility (TFR) were positively correlated across human societies (r = 0.81, p = 0.004; r = 0.95, p = 0.014 [non-foragers]; r = 0.82, p = 0.090 [hunter-gatherers]; Table 3). Inconsistent with P2, population growth was not correlated with life expectancy across humans or with fertility across chimpanzees (p > 0.1; Table 3).

Table 3. Life history correlations.

Correlation All P.t. H.s. HG NF
P2 r e0 0.67** 0.83† 0.42 0.62 0.08
r TFR 0.12 0.20 0.81** 0.82† 0.95*
P3 E0 e0 -0.41† -0.57 0.69* 0.11 0.73
E0 TFR 0.30 0.08 0.12 -0.40 0.28
E0 AFB -0.90*** -0.39 -0.83** -0.30 -0.93*
E0 MAC -0.89*** -0.95* -0.87*** -0.68 -0.91*
E0 ALB -0.06 0.55 -0.29 -0.41 -0.16
E0 IBI 0.33 0.62 0.29 0.88† 0.20

Rows show correlations of: (P2) population growth rates (r) with life expectancy (e0) or fertility (TFR); (P3) elasticity to child survival (E0) with life history traits (e0, TFR, AFB, MAC, ALB, IBI). Columns indicate Pearson coefficients for correlations across all populations pooled (All), across wild chimpanzee populations (P.t.), across small-scale human societies (H.s.), across hunter-gatherers (HG), or across non-foragers (NF). Significance is indicated by superscripts (*** p < 0.001, ** p < 0.01, * p < 0.04, † p = 0.050). Bold values indicate deviations from predictions (P3).

P3. We expected that longevity should decrease, and fertility increase, the fitness elasticity to recruitment (corr(E0, e0) < 0; corr(E0, TFR) > 0) [39]. Consistent with P3, elasticity to early infant survival is negatively correlated (marginally) with life expectancy across species (corr(E0, e0); r = -0.41, p = 0.051; Table 3), but not across chimpanzees (p > 0.1). Inconsistent with P3, E0 is positively correlated with e0 across humans (r = 0.69, p = 0.029), and there is no correlation between E0 and TFR within or across species (p > 0.1; Table 3). Across our pooled two-species sample we find predicted (P3) negative correlations of E0 with AFB (r = -0.90, p < 0.001) and MAC (r = -0.89, p < 0.001), but not with ALB (p > 0.1). Among chimpanzees alone, only MAC is negatively correlated with E0 (r = -0.95, p = 0.014); among humans, E0 is negatively correlated with AFB (r = -0.83, p = 0.003; r = -0.93, p = 0.023 [non-foragers]; p > 0.1 [hunter-gatherers]) and MAC (r = -0.88, p = 0.001; r = -0.91, p = 0.032 [non-foragers]; p > 0.1 [hunter-gatherers]; Table 3) but not with ALB or IBI (p > 0.1). Among hunter-gatherers there is a (marginal) positive correlation between E0 and IBI (r = 0.81 p = 0.050).

Discussion

Although elasticities usually identify survival, especially juvenile survival, as the most important vital rate affecting fitness (P1, [28]) other vital rates may still have large effects. Juvenile survival was an important driver of population- and species-level differences (33% of all effects across human populations and 37% across chimpanzees), but adult survival was also an important driver (14% of all effects across humans and 27% among chimpanzees; Fig 5B; S8 Fig in S1 Data). However, fertility contributions were two orders of magnitude greater than expected based on the elasticities reflecting their potential, and fertility played a large role in regulating the five populations nearest stationarity (four out of five hunter-gatherer groups and one foraging-horticulturalist group): low fertility balanced longevity in four populations and high late-life fertility compensated for high infant mortality in one (the Agta). High fertility also drove rapid increase in the fastest-growing populations (Yanomamo, Ngogo, Tsimane and Taronga). That we found such large contributions of fertility differences (54% of all effects among humans and 36% among chimpanzees; Fig 5B; S8 Fig in S1 Data) highlights the potential for low-elasticity vital rates to have large effects on population fitness when they differ more than high-elasticity rates [24]. This counterintuitive result is what we would expect if stabilizing selection canalizes the vital rates deemed important based solely on their high elasticities [26, 27]. The effects of higher early fertility of non-foragers nearly balanced the higher prime and late fertility of hunter-gatherers, and among non-foragers these opposing fertility effects were larger than survival effects. This highlights a valuable feature of LTRE contributions, which allow us to identify the vital rates driving opposing fitness effects at different stages of the life course, even when their signs and magnitudes balance to yield small net contributions.

Several findings suggest potential constraints on the evolution of slower human life histories. Child survival among small-scale societies overlaps with rates documented for chimpanzees and child survival varies much more across populations than adult survival. Lower variation across populations in adult human mortality estimates may reflect greater buffering of exogenous mortality sources through derived human traits like food storage, widespread food sharing and ethnomedicine. Higher variation in chimpanzee mortality may reflect transient dynamics causing chimpanzee declines over the past century, due in part to human impacts such as poaching, habitat destruction and infectious outbreaks [51]. Despite strong stabilizing selection, child survival also varies over time more than adult survival among humans [52] and among non-human primates [53], reflecting greater juvenile vulnerability to environmental effects. Because of quality-quantity trade-offs in which high fertility often comes at the expense of infant survival under natural fertility [5457], low and variable infant survival may also reflect costs of reproduction borne more by offspring than adults [35, 55], and these tradeoffs may limit demographic buffering [26] through variance-reduction in this important vital rate. Another possibility is that selection may not be as strong as elasticities predict due to lower genetic variation in traits influencing infant survival [58] or there may be negative genetic correlations beyond the phenotypic correlations we examine here [59, 60]. Due to the requirement that the sum of elasticities for transitions going into an age class have to be equal to the sum across outgoing transitions [61], E0 must equal the sum of fertility elasticities (E0 = Ef), whereas there is no such constraint on fitness contributions. Additionally, higher infant mortality among some human societies may also reflect the costs of short inter-birth intervals and overlapping child dependence. These conspicuous features of human life histories combine elements of slow life histories (late maturity and low adult mortality) with elements of a faster life history (high infant mortality and short inter-birth intervals), which are made possible through adult production surpluses, resource transfers and multigenerational cooperation [8, 62]. Because these transfers alter vital rates directly and extend indirect fitness contributions beyond reproductive ages [62, 63], they may also alter elasticities [64], and their resulting effects appear in LTRE contributions only through the vital rates they affect. For instance, recruitment may suffer during resource shortages but indirect fitness contributions of production transfers buffer child mortality effects [65, 66]. In addition, if negative fitness effects of stochastic environments exceed costs of reproduction, then high fertility may bet-hedge against child mortality [67], resulting in higher long-term recruitment than a conservative “slow” life history strategy that buffers child mortality by reducing fertility [68]. Although we do not have sufficient long-term data to assess the effects of environmental or demographic stochasticity, previous work showed that temporal variation could be an important driver of population dynamics over evolutionary time (17).

As predicted (P2), population growth rates were positively correlated with longevity across our two-species sample, but they were not correlated with fertility. Within species, population growth is decoupled from longevity among small-scale subsistence societies and from fertility among chimpanzees. Among humans this reflects a slow life history and long post-reproductive lifespan, during which direct fitness contributions are zero even if individuals contribute to the fitness of living offspring indirectly through grandparenting [63, 65, 69] and other types of intergenerational resource transfers [8, 62, 66]. In contrast, high chimpanzee adult mortality decouples fitness from potential fertility because the potential contributions of higher late-life fertility are largely forfeited due to mortality attrition (only 10% of chimpanzees survive to attain their potential TFR, compared to 33% across hunter-gatherers and 49% across non-foragers).

Among chimpanzees, fertility contributions reflect recent high estimates of wild chimpanzee fertility (mean TFR = 7.3) based largely on a published compilation [6]. This survival-conditioned TFR is much greater than earlier estimates of 3.4 based on fewer populations and fewer births [8, 66, 69]. Those earlier studies under-estimated the mean age at last birth (ALB = 27.7 y vs. our estimate of 41.3 y) and may have also under-estimated mean age of first birth due to differences between dispersing and non-dispersing females [70]. To our knowledge, the finding that potential fertility in chimpanzees is comparable with human subsistence societies has not been widely appreciated, including the paper from which the fertility data originate [6]. It is possible that mortality selection reveals late fertility only among a robust subset of chimpanzees, which might suggest more variation in fecundity among chimpanzees than in humans. If, however, adult mortality rather than fertility limits chimpanzees’ reproductive potential, then human and chimpanzee life histories would be even more similar under conditions of low adult mortality. Because IBIs in chimpanzees are lower when infants die early, average IBI is affected by early life survival [50]. Unlike humans with overlapping dependents, lower juvenile mortality would further lengthen chimpanzee IBIs, and therefore reduce lifetime fertility. Our finding that the long-lived populations have shorter IBIs and higher TFR suggests that IBI differences among chimpanzees are more due to ecological conditions favoring both fertility and survival rather than tradeoffs between fertility and infant survival. Low mortality at Kanyawara, and especially at Ngogo, demonstrates the potential for rapid chimpanzee population growth, with vital rates that are similar to those of some hunter-gatherers [7, 16]. However, because the Ngogo mortality data covers a period of expansion after extirpating a neighboring group [71], these mortality rates may reflect a transient expansionary phase of rapid growth [17, 51] instead of a sustainable long-term life history like asymptotic analyses assume. At the far extreme, the captive zoo population illustrates the most favorable conditions, where chimpanzees have the reproductive potential to increase as rapidly as human subsistence populations. While phylogenetic analysis shows that human uniqueness stems from longevity and short birth spacing more than age at maturity [72], we find that age at maturity interacts with adult mortality to drive species life histories apart by limiting prime-age fertility contributions among chimpanzees.

As predicted (P3) by Jones [29], longevity marginally eases selection on recruitment across our two-species sample, but child survival is at a greater premium among long-lived human populations, which in our sample also exhibit high fertility and rapid population growth. It is likely that the correlations Jones [29] observed were due to cultural practices driving greater negative co-variation between fertility and mortality in Coale-Demeney model life tables than among subsistence societies (his small sample included examples with modern contraception driving low fertility and modern medicine driving low mortality). Although recruitment selection is not correlated with fertility in our sample, it is negatively correlated with fertility up to the mean age of childbearing, suggesting that the onset and peak of fertility moderate the fitness importance of recruitment more than fertility completion or birth spacing.

Also, the finding that the effect:potential ratio of fertility differences are much larger among humans than among chimpanzees highlights both the wide variation in human fertility and the effect of low chimpanzee survivorship, which limits prime-age and late fertility contributions. Finally, the positive correlation between hunter-gatherer recruitment elasticity and inter-birth intervals suggests that recruitment is more important when reproductive effort is low. Rather than confirming predictions that recruitment should be more important when reproductive effort is high, longer IBIs among hunter-gatherers puts a premium on infant survival, whereas short IBIs reduce the importance of recruitment because they allow quicker replacement of lost offspring.

Study limitations

Our sample is the largest to date for human subsistence populations and wild chimpanzees, but these populations in their recent environments may not accurately represent ancestral life histories. The circumstances surrounding subsistence lifestyles and resource ecology vary by geography, history of interactions with neighboring populations, governmental intervention and regulation of territory, as well as other factors. Although contemporary hunter-gatherers do not replicate ancestral demography even in earliest “pre-contact” periods, they are the best reflection of vital rates in the absence of modern amenities, and of the evolutionary context within which our species evolved [73]. These populations exhibit characteristics common across prehistory among small-scale societies, including natural fertility, non-market livelihoods, greater pathogen burden, and multi-generational cooperation.

Though imperfect representatives of the past, the differences we observe within and between species nonetheless offer a unique opportunity to learn about the forces shaping human life history. Previous findings suggest that alternative demographic routes to human persistence are reflected in life history adaptations that maintain the potential for high intrinsic growth rates and allow recovery from periodic population crashes [17]. The Ju/’hoansi! Kung, Hiwi and Gainj, with low and delayed fertility, hover near-stationarity and are on the slower side of a life history continuum, while the Tsimane and Yanomamo are on the faster side with early and high fertility driving rapid population growth, perhaps in response to post-colonization recovery. The Hadza life history is very close to the hunter-gatherer composite reference, suggesting perhaps that they may represent a “typical” contemporary hunter-gatherer population. While the! Kung belong to the most ancient (L1) human haplogroup [74], their lower population growth may reflect habitat degradation, displacement by pastoralists, and secondary sterility from infection [75, 76]. Similarly, data on extant chimpanzees reflect novel anthropogenic influences but provide the best representation of the demography of ancestral hominins [77], with captive and managed populations providing additional insights about best-case scenarios. As with any pair of lineages, we are confronted with questions about the conditions under which human and chimpanzee life histories diverged, since they may have faced very different selection pressures over evolutionary time since their divergence from a common ancestor. Also, because we are sampling human societies that survived contact, our sample may over-represent growing populations, especially since these short-term data may have captured transient growth periods in population cycles with rapid or catastrophic declines and prolonged recovery [17].

Conclusions

Since divergence from chimpanzee-like ancestors, human survival has increased so much that adult mortality profiles of pre-industrial human and chimpanzee barely overlap. While species differences in adult mortality have been widely recognized [21], we report additional species differences and similarities: hunter-gatherers have similar, and sometimes higher, infant mortality than chimpanzees, whereas fertility is much more variable across human societies and overlaps the range of chimpanzees, especially across prime childbearing years. However, due to high mortality attrition, the force of selection on chimpanzee fertility is much lower than for humans, and more strongly favors younger mothers.

Our findings suggest that the trajectory forward from the life history of our most recent common ancestor with the chimpanzee was likely not a monotonic decline in mortality and that high and variable infant mortality likely played a large role in regulating population growth over evolutionary time. We also find that fertility differences have substantial effects on population growth despite low elasticities, and that older reproductive individuals may contribute more to population-level fitness differences than younger individuals with higher reproductive values. The diverse environments humans inhabit are partly responsible for observed variation in reproductive success across populations, but quality-quantity tradeoffs between fertility and juvenile survival, combined with prolonged juvenile susceptibility, may constrain evolution of slower human life histories in subsistence societies with natural fertility. Because delayed fertility reduces selection on recruitment across species and among humans, this suggests a fast-slow continuum of life history even among extant hominins, with early AFB and strong recruitment selection on the fast side, and late AFB and weaker recruitment selection on the slow side. High and variable juvenile mortality reflects bet-hedging costs of reproduction, maintaining a high selective premium on juvenile survival even in longer-lived human populations. We also find that late-life fertility is an important driver of population-level differences among small-scale societies despite typically low survival to these ages, and that longevity can maintain stationary populations despite low fertility. Age-patterns of mortality strongly influence the effects of fertility differences, with adult mortality, age at maturity and menopause driving human and chimpanzee life histories apart despite similar survival-conditioned fertility.

Supporting information

S1 Data

(DOCX)

Acknowledgments

We thank Shripad Tuljapurkar, Oskar Burger, Thomas S. Kraft and two anonymous reviewers for helpful feedback on previous versions of this manuscript, and we thank Thomas S. Kraft for help smoothing the fertility data we employ.

Data Availability

Data are included as .xlsx files in Supporting Infromation (S2, S3 Tables).

Funding Statement

The authors received no specific funding for this work.

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Decision Letter 0

Masami Fujiwara

20 Oct 2020

PONE-D-20-26560

Human uniqueness illustrated by life history diversity among small-scale societies and chimpanzees

PLOS ONE

Dear Dr. Davison,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

We received two sets of reviewers’ comments (please note one is provided in a separate file only). I found both comments to be very constructive for improving the manuscript. Overall, the two reviewers think the study is interesting (or potentially interesting) but identified some technical problems. Although these are major problems, I think they can be resolved. Some of the comments from reviewer 2 revolve around the issue of linking mathematical quantities to evolutionary processes; this is a difficult issue. It is important to clarify the links by providing clear logic behind them.

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Reviewer #1: Partly

Reviewer #2: Partly

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Reviewer #1: I Don't Know

Reviewer #2: No

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Reviewer #1: Yes

Reviewer #2: Yes

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Please see the attachment of my review.

Please see the attachment of my review.

Please see the attachment of my review.

Please see the attachment of my review.

Reviewer #2: See attached pdf file.

Review of Human uniqueness illustrated by life history diversity among small-scale societies and chimpanzees by Raziel Davison and Michael Gurven.

In this article, the authors compare age-trajectories of survival and fertility of many hunter-gatherer and forager human populations and chimpanzees. They then perform LTRE and spectral analysis to investigate potential evolutionary changes between these trajectories. This is a very interesting manuscript, revisiting with originality and up-to-date data a classic question in human evolutionary biology: the evolution of the human and chimpanzee life-cycle since divergence. The manuscript incorporates a wonderful comparison of age-trajectories of the different not-industralized populations with several chimpanzee populations, again using the best data to date. In this respect I think that this article has great potential. I am more sceptical about the evolutionary interpretation of the LTRE and elasticity analysis. I think that there are several conceptual and technical issues which need to be addressed prior to publication.

Main comments 1

The authors mainly use two metrics in the analyses: elasticities and what they called fitness contributions. All over the manuscript, I found unclear the definition of fitness contribution, and what the two measures together brings to the analyse.

First, I think there is a problem of definition throughout the manuscript. This starts L 52-55 where I found the sentence “These fitness contributions illustrate how life history event schedules drive differences within and between species, while elasticities reflect the force of selection and highlight the potential for fitness contributions if vital rates vary across populations [19]” not very clear (illustrate? drive difference of what on what?). The authors quote [19] which focuses (to my knowledge) exclusively on elasticity and tells anything (as far as I remember it) on contrasting elasticity and ‘fitness contribution’.

The authors are later more explicit when referring to LTRE where they are defined as the “vital rate contributions to observed differences in population growth rates” between two projection matrices (please note that vital rates are not individual measures as mentioned in l71 since there are population aggregates). In this sense, they are not “contribution to [a population] fitness” but how differences in entries of two matrices translate into difference in change of population reference growth rate. I strongly suggest the authors to define it more clearly. A way to do it is that sensitivity sij is the impact on λ of one unit of change in matrix entry aij. If we multiply sij by Δaij, it tells us how such a change would have modify the reference population growth λ.

Second, the authors then states l74-75 that “Differences between realized fitness contributions and the potential suggested by elasticities may indicate constraints on life history evolution” (also 405-406). This can be a fantastic idea and I can intuit what the authors have in mind. Yet it is not trivial to me, and it makes me wonder if this has been already theorized elsewhere. If it has, the author should clearly state it and explain why (I think not shying away equations). If it has not, I would strongly encourage the authors to develop - and if possible demonstrate - this idea. For instance, Cij, is a given amount of change between two matrix waited by sensitivities. Does this idea relates to the long lasting debate on the difference between using sensitivities and elasticities?

Main comment 2

The authors used the ratio between contribution and elasticity to measure (if I understand well) these possible constraints. But, I would strongly suggest the authors to check the resulting equation. First, l146, I think there is a mistake: eij is not equal to sij*(λ/aij) but to sij*(aij/λ) (I guess that this is a typo because elasticities look ok in fig 1) .

But then Zij = Cij/Eij = (Δaij.sij)/(sij(aij/λ))=(Δaij/ aij)(1/λ).

Then Z is the ‘percentage’ of difference between the reference and the analysed matrices divided by the growth rate. I am far on being clear on what does this mean and how this allows identifying constraint on a vital rate. I therefore strongly suggest the authors to explicit this metric and how/why it is used to solve their research question.

I am also not clear on whether Z should be sum(Cij)/sum(Eij) or rather sum(Cij/Eij), which can be substantially different.

Finally I don’ t understand the values for the Zs in table 1. For instance for Ache, Zc=Cc/Ec=7/42=0.16, not 95. Or, am I missing something?

I would suggest to incorporate Table S5 into the main text.

Main comment 3

I am not sure that I understand prediction 1 and it may be there a conceptual mistake. Canalization is the fact that vital rates impacting the more fitness (here λ) should exhibit lower temporal variance than those under weaker selection. The authors rightfully quote [22] and [23] testing this by somehow correlating the estimation of the variation in time of matrix entries to the variation of λ (but variance is in time, not between populations, isn’t it?).

Note also that, if I am not mistaken, [23] performed elasticity analysis not LTRE (as suggested in sentence l84) such that the effect of variance on LTRE is also not that clear to me. Anyway, I cannot see how LTRE between populations (without temporal variance accounted for) can allow identifying life-history constraint and how the concept of canalization is involved into this. If I am mistaken, I strongly suggest the authors to make their point more clear.

Main comment 4

I find that P1 (l81-82) is not well formulated. If I am not mistaken, it is a property of elasticity to be strictly declining with age in an age-structured model, infant and children survival elasticity always being constant and the largest. Metric have to be twisted and parameters very different that those of mammals to find alternative pattern (Baudish, 2005, PNAS). It is between species that relative magnitude of elasticities can be compared and I would strongly suggest to cite Heppell et al., 2000, Ecology for a comparison in mammals across the slow-fast continuum. Also why not refering to and using a classical Silvertown triangle to represented this (Silvertown, J., et al. 1993. Jouranl of Ecology 81:465–476)?

I am not sure what the authors want to test with prediction 2 which is the obvious fact that both increasing survival and fertility should increase population growth rate. Evidencing trade-off between fertility and survival?

Main comment 5

I would suggest the authors to discuss limitations of elasticities analyses in general and apply to humans in particular. (1) First elasticities are only one hand of the evolutionary GxE equation (Lande 1982; Charlesworth 1990; Steppan et al. 2002). Evolution also need genetic variance and this could be acknowledged. (2) The authors are comparing Leslie matrix, but any sub structuring (as individual heterogeneity) or hidden trade-offs may change the results. (3) It the most important, it has been shown that intergenerational transfers between age-class or parental investment can strongly impacts elasticities on survival and fertility in humans (Lee 2003, PNAS, Pavard et al. 2007, Evolution, Pavard & Branger 2012 Theo Pop Biol). For instance, magnitude of elasticities on adult survival may be strongly underestimated when maternal or grand-maternal care is not implemented. Elasticities on fertilities by age can also exhibit very different patterns. Because such intergenerational transfers have been proposed as a very important drivers of the evolution of human life-history, the authors should at least discuss it. (4) As the authors wonderfully argued in a recent article, only periodic catastrophes in humans can explain the human forager paradox. It also means that all elasticity analysis in constant and infinite environment is somehow incomplete and elasticity should be considered into a stochastic model.

Minor comments & Détails

l418-420 – Isn’t there a contradiction is stating that juvenile survival is under canalization effect and stating later on that it varies more in time than adult survival?

Figure 1 – I am not sure how the SEM of elasticity is calculated. Is this trivial?

I am not sure what figure 2 really brings to the article since it is complicated and barely discussed.

Problem in legend of figure 2 – Non-Forager are filled-circled as HG not filled square. Indicate that isolines are population growth rates. Remove the title.

L290 – I guess this is fig3.B instead of 2B,3?

l 32 – I am not sure that reference [2] did anything in calculating the divergence time between humans and chimpanzees. Please check carefully this reference. I think it should instead be referred to l 33-34.

l 35, “human fertility is similar to chimpanzees” and further. Please be more specific. Do you mean the shape of the age-specific fertilities? If yes, both the distribution and the TFR? Is the whole shape the distribution identical? The authors refer to [6] who focus mainly on reproductive senescence and show that if the timing of reproductive senescence is similar rate of reproductive senescence is not the same as well as how it correlates with decline in survival. I suggest to be more precise.

L37-38 – “However, there is great variation among human and chimpanzee life histories”. Here again I suggest to be more specific. The authors quote [8]. Although a valid reference, it can be completed by more recent article (as the [2]). Furthermore, I am not a native speaker but is “difference” would be better than “variation”?

L39 and many time after – Please change “within species” by between population. In ecology, within species study refers more to the study of variance between individuals than between population as it is investigate here.

L 40 - “We interpret population life histories in terms of the slow-fast life history continuum [9]” – Why? Also, human a complete outlier on this continuum so that I wonder if this is relevant.

L41 – To my knowledge Stearns’ book (but I don’t have it at hand here to check) is about trade-offs in general not about their importance for human life-history evolution.

In [6] the authors use extensive data in chimpanzees. Yet, this represent only about 600-1000 individuals (the equivalent of a small human village) spread in small groups over nearly a continent. How this could affect the authors’ results?

L55 – I am not found of the concept of population fitness underlying in this sentence.

L71 – Indicates the pages in [15]. Note that you could have also quoted Hal Caswell, 1989, Analysis of life table response experiments I. Decomposition of effects on population growth rate, Ecological Modelling, Volume 46, Issues 3–4.

L153 – this should be sij instead of sj isn’t it?

L179 – I am not sure to understand why the fact that Cij and Eij sum to unity allow to calculate the ratio.

Figure 3A – I find the figure very complicated to figure out. Are they the mean summed C values between populations? Then why and how is separated positive and negative C values? Or “composite” refers to the mean trajectories for HG, F, WC. But then, again, how does it lead to both (+) and (-) for a same trait (i.e., Infant survival). I am very sorry if I miss this information.

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PLoS One. 2021 Feb 22;16(2):e0239170. doi: 10.1371/journal.pone.0239170.r002

Author response to Decision Letter 0


1 Jan 2021

RESPONSE TO REVIEWERS

Reviewer Comments for PONE-D-20-26560

Human uniqueness illustrated by life history diversity among small-scale societies and chimpanzees

Authors of this manuscript showed that delayed maturity and adult mortal-

ity is the main difference to separate humans from chimpanzees which shares

common ancestor. They employed Life Table Response Experiments to quantify

vital rate contributions to population growth rate. Their results and discussion

are is interesting. Their approach is justified. However, this manuscript con-

tains numerous inconsistencies in its data and statements. It requires careful

attention on details to justify its results and conclusions.

We thank you for the positive feedback. We have revised the paper considerably to account for all of the reviewers’ careful comments. Our responses are in bold.

Major inconsistencies and questions:

• Lines 213 - 227, Table 1: In the manuscript, line 180 states that Za =

Ca=Ea and lines 148 and 150 shows that Ec + Ea + Ef = 1. However,

numbers in the table are inconsistent to the statement in text. Za 6=

Ca=Ea and Ec + Ea + Ef 6= 1

We apologize for the typo in which the column headers for Cc and Ca were switched. [Line 289]

We have now made sure all notation is consistent throughout the paper:

(Ec + Ea) + Ef = Es + Ef = 1 in every row, and in every row Z = C/E (e.g. Zf = Cf/Ef).

• Lines 213 - 227, Table 1: Why E0 = Ef ?

This is a fact that is demonstrated by loop elasticities, which show that the sum of elasticities coming into a life history stage must be equal to the sum of elasticities across all outgoing transitions. Here, E0 = E(a21) = sum(Efert) because the elasticity to recruitment (the only pathway out of the newborn “stage”) is equal to the sum of elasticities to fertility at different ages (Van Groenendael et al. 1994).

Van Groenendael, Jan, Hans De Kroon, Susan Kalisz, and Shripad Tuljapurkar. "Loop analysis: evaluating life history pathways in population projection matrices." Ecology 75, no. 8 (1994): 2410-2415.

• Lines 213 - 227, Table 1: Why do managed and captive population have

smaller ALB compare to Wild population for chimpanzees?

For the captive breeding program at Taronga Zoo, ALB estimates come from only 7 females, including one that died 3.5 y after the last birth, one on contraception, and one that was transferred (Littleton 2005), so this is likely an underestimate of captive ALB. In the Gambia population, they do not use contraceptives and AFBs are similar to wild chimpanzees, but there may be factors stemming from prior captivity that limit their reproductive lifespans (Marsden et al. 2006). These are some of the reasons that only wild chimpanzees are considered in the ALB comparisons (S2 table).

• Fig 3A: Why are there two yellow and red sections in the bar of WC- and

WC? Why are there two red and brown sections in the bar of WC+? Why

does Infant survival (the purple section) have both positive and negative

contributions in WC- and WC?

The bars above the y-axis origin (C = 0) show positive contributions and those below the origin show negative contributions. They sum together to the net contributions (shown as white bars), which sum to the total difference in population growth rate between the target (m) and Reference (R). This is clarified in the figure caption. [lines 370-373].

We consider infancy as from birth (age 0) to 2 yrs. Thus, there are two age-contributions of infant survival (p0 = a21, p1 = a32) that may be of opposing sign. For instance, with WC, newborn survival p0 (a21) makes positive contributions because it is higher than that of hunter-gatherers (R), but older infant survival p1 (a32) makes a negative contribution because age 1-2 survival estimates for the WC average and WC- (declining chimpanzee average) are lower than those of the hunter-gatherer average (R).

• Lines 337-338: \\E0 > Ec > Ea > Ef " is not consistent with numbers in Table 1.

We regret the confusion caused by these inequalities and we have simplified our explanation of P1, removing the inequality and explaining the prediction in clearer English. [line 416]

E0 (the elasticity of newborn survival p0, which could also be written as E21, the elasticity of matrix element a21) is the largest elasticity for a single transition (here, individual matrix elements). Ex+1,x<α is larger than Ex+1,x≥α at all ages and Ex+1,x > E1x except for the last couple years of reproductive life. However, the values in Table 1 are the sums across all ages (e.g. Ec = Σx<α Ex+1,x, Ea = Σx≥α Ex+1,x), so Ea may be larger than Ec because it sums over a larger range of ages (all ages after α, the minimum AFB). As stated above, E0 = Ef = Σx E1x , requiring that the elasticities to fertility at single ages are each lower than E0.

• Line 345: \\Cc > Ca" is not consistent with numbers in Table 1.

We have fixed a typo where the column headers for Cc and Ca were switched in Table 1. [lines 289, 423]

• Line 350: \\Cs _ Cf " is not consistent with numbers in Table 1.

This “≈” indicates there is no significant difference between Cs and Cf (p > 0.1), not that these values are equal. [line 429]

• Lines 357-359: \\Zc _ Za", \\Zc < Za" and \\Zc < Za" are not consistent with numbers in Table 1.

The inequalities were reversed and are now correct and in agreement with Table 1: [lines 437-440]

Zc ≈ Za (HG, p > 0.1), Zc > Za (WC, p = 0.016), Zc > Za (NF, p = 0.095), Zc << Zf (p ≤ 0.008).

We now clarify that, by saying that adult survival effects are more under-estimated than child survival effects, this means that Za if farther below 1:1 than Zc (so Zc > Za).

Minor points:

• Line 127: please spell out \\NLIN".

Done [line 165]

• Lines 131 to 133: Is it a duplicated statement?

This statement is not duplicated elsewhere in the paper.

• Line 146: \\(eij = (@_=@aij) = sij(_=aij)" should be \\(eij = (@_=@aij) =

sij(aij=_))".

Typo fixed [line 186]. We also capitalize all elasticities (e.g. Eij) to avoid confusion with the lower-case e0 for life expectancy [lines 185-191].

• Line 153: \\ sumi;j sj_aij" should be \\ sum_i;j (sij_aij).

Typo fixed [line 197]

• Line 184: \\maxi;j(eij)" should be `max(eij)".

We now clarify that E0 (distinguished from life expectancy e0 by capitalization) is the highest elasticity (E0 = max(Eij)) – elasticity to age 0 survival in the matrix element a21. [lines 245-246]

• Table 1 row 1: Please add description of l_, lM, l!, TFR, AFB, MAC,

ALB and IBI in the caption.

Done [lines 274-277]. We also include a new Table 1 with variable definitions and source equations [lines 192-194, moved from Supporting Information].

• Table 1 row 1: Please switch column Ca and Cc for display consistency.

Done [line 289]

• Line 278, Fig 2: Cannot _nd the \\non-foragers by _lled squares" in Fig 2.

Not sure why. They were in the original file and we have made sure they are in the current file. [lines 347-349]

• Line 279, Fig 2: Cannot _nd the \\(labeled NF)" in Fig 2.

Again, not sure why. It is the unfilled square with a dot in it, located at (-0.001157,0.01994).

• Line 349: \\S4 Table" should be "S2 Table".

Fixed to say S3 Table (Differences within populations) [line 425]

• Line 352: \\S4 Table" should be "S2 Table".

Fixed to say S3 Table (Differences within populations) [line 430]

• Line 360: \\S4 Table" should be "S2 Table".

Fixed to say S3 Table (Differences within populations) [line 440]

• It will be helpful to add a data table of computed age specific mortality

and fertility of each population (which are the data used to plot Fig 1)

into online Supporting Information (S2, S3 Tables).

Added [lines 880-885]

Review of Human uniqueness illustrated by life history diversity among small-scale societies and chimpanzees by Raziel Davison and Michael Gurven.

In this article, the authors compare age-trajectories of survival and fertility of many hunter-gatherer and

forager human populations and chimpanzees. They then perform LTRE and spectral analysis to investigate potential evolutionary changes between these trajectories. This is a very interesting manuscript, revisiting with originality and up-to-date data a classic question in human evolutionary biology: the evolution of the human and chimpanzee life-cycle since divergence. The manuscript incorporates a wonderful comparison of age-trajectories of the different not-industralized populations with several chimpanzee populations, again using the best data to date. In this respect I think that this article has great potential. I am more skeptical about the evolutionary interpretation of the LTRE and elasticity analysis. I think that there are several conceptual and technical issues which need to be addressed prior to publication.

We appreciate the positive comments. Below we address the reviewer’s concerns about conceptual and technical issues.

Main comments 1

The authors mainly use two metrics in the analyses: elasticities and what they called fitness contributions. All over the manuscript, I found unclear the definition of fitness contribution, and what the two measures together brings to the analyse.

First, I think there is a problem of definition throughout the manuscript. This starts L 52-55 where I found the sentence “These fitness contributions illustrate how life history event schedules drive differences within and between species, while elasticities reflect the force of selection and highlight the potential for fitness contributions if vital rates vary across populations [19]” not very clear (illustrate? drive difference of what on what?). The authors quote [19] which focuses (to my knowledge) exclusively on elasticity and tells anything (as far as I remember it) on contrasting elasticity and ‘fitness contribution’.

We now more carefully define “fitness contribution” [lines 88-95, 195-200], and clarify the distinction between this measure and fitness elasticity [lines 62-70, 95-103, 431-440]. We also clarify the difference between signed contributions (which sum to estimate the difference in population growth rate between the target population m and the reference R) and effect magnitudes (which are the absolute values of contributions, scaled to sum to unity as % of total effect) [lines 205-210]. To illustrate the difference between elasticities and vital rate effects, we include a new Fig 4 – a ternary diagram that compares vital rate elasticities (heavily weighted toward child survival) vs. vital rate effects, which are much more diverse.

We also clarified that we are talking about different approaches for explaining differences in population growth rates, within and between species [lines 73-76, 198-205]. We also take care to maintain tense agreement throughout, using the present tense for statistics (e.g. averaged vital rates) and prospective estimates (e.g. elasticities) and the past tense for contributions and effects, since they are retrospective decompositions of observed differences. Also, we added a very brief treatment of the difference between prospective and retrospective analyses and we now reference a more detailed treatment of this distinction (Horvitz et al. 2007) [lines 117-122].

The authors are later more explicit when referring to LTRE where they are defined as the “vital rate

contributions to observed differences in population growth rates” between two projection matrices (please note that vital rates are not individual measures as mentioned in l71 since there are population aggregates). In this sense, they are not “contribution to [a population] fitness” but how differences in entries of two matrices translate into difference in change of population reference growth rate. I strongly suggest the authors to define it more clearly. A way to do it is that sensitivity sij is the impact on λ of one unit of change in matrix entry aij. If we multiply sij by Δaij, it tells us how such a change would have modify the reference population growth λ.

Thanks for this comment. We modified the text to read “…decompose contributions of different vital rates to observed differences in population growth rates. Vital rate contributions (Cij) are estimated by multiplying vital rate sensitivities (sij), which reflects the fitness effect of a one-unit change in matrix element ai, by population-level differences (Δai) in vital rates (Δaij = aij(m) – aij(R); Cij = sij Δai), comparing each observed population (m) with a common reference (R).” [lines 88-93]. We agree that LTREs do not estimate contributions to population fitness unless you use a null matrix as the reference, in which case the contribution of matrix element aij is the product of the vital rate and the sensitivity (Cij = sij Δaij where Δaij = aij – 0, so Cij = sij aij ). In our LTRE, vital rate contributions (Cij) are estimated by multiplying vital rate sensitivities (sij) by population-level differences (Δai ) in vital rates (Δaij = aij(m) – aij(R); Cij = sij Δai), comparing each observed population (m) with a common reference (R), which contains the mean vital rates calculated across all hunter-gatherers.

Second, the authors then states l74-75 that “Differences between realized fitness contributions and the potential suggested by elasticities may indicate constraints on life history evolution” (also 405-406). This can be a fantastic idea and I can intuit what the authors have in mind. Yet it is not trivial to me, and it makes me wonder if this has been already theorized elsewhere. If it has, the author should clearly state it and explain why (I think not shying away equations). If it has not, I would strongly encourage the authors to develop - and if possible demonstrate - this idea. For instance, Cij, is a given amount of change between two matrix waited by sensitivities. Does this idea relates to the long lasting debate on the difference between using sensitivities and elasticities?

We appreciate the reviewer’s enthusiasm here. Saether and Bakke (2000) conjecture that LTRE contributions may be small despite large elasticities, due to stabilizing selection buffering important vital rates against temporal variation (Pfister 1998). Others have noted problems with using elasticities to predict vital rate effects and LTREs have been presented as the best tool for population comparison. We now include more background literature on this subject in the introduction, and include more implications of our findings in the discussion [lines 117-122]. Our Z metrics directly compare prospective vs. retrospective “importance” measures, but it is not trivial to derive inferences from low (<<1) vs. high (>>1) deviations from prospective estimates.

When we compare retrospective contributions to prospective elasticities, we ask what departures between these alternative measures of the relative “importance” of vital rates might tell us about selection or constraints on variation across populations. For instance, if the relative effects of child survival differences are smaller than their elasticities suggest, this could support the “buffering hypothesis” of Pfister (1998) that has been predicted (Saether and Bakke 2000) to reduce variation in child survival rates between populations as well as within populations over time. This would mean that child survival elasticities would be larger than the relative effects of child survival differences, whereas effects of adult survival and fertility differences would be larger than their elasticities. If contributions of fertility differences are larger than their elasticities, this may reflect fertility-survival tradeoffs, while larger contributions of adult survival may indicate reproductive tradeoffs that make up for high child mortality in uncertain or low-resource environments [lines 96-104].

As far as we understand, the debate between sensitivities and elasticities centers on the importance of structural zeros in the population matrix. For instance, human fertility is zero at age 5 in all populations and so the elasticity E16 will be zero - but the large sensitivities indicate the change in population growth that would occur if age 5 humans suddenly evolved non-zero fertility. This is an interesting possibility, and suggests that selection would be strong on age 5 fertility, but because there is zero variation in age 5 fertility rates, there is nothing for selection to work with (selection requires variation in heritable fitness-relevant traits).

Main comment 2

The authors used the ratio between contribution and elasticity to measure (if I understand well) these

possible constraints. But, I would strongly suggest the authors to check the resulting equation. First, l146, I think there is a mistake: eij is not equal to sij*(λ/aij) but to sij*(aij/λ) (I guess that this is a typo because elasticities look ok in fig 1).

Yes, thanks for catching this. We fixed the typo. [line 186]

But then Zij = Cij/Eij = (Δaij.sij)/(sij(aij/λ))=(Δaij/ aij)(1/λ).

Then Z is the ‘percentage’ of difference between the reference and the analysed matrices divided by the

growth rate. I am far on being clear on what does this mean and how this allows identifying constraint on a vital rate. I therefore strongly suggest the authors to explicit this metric and how/why it is used to solve their research question.

We try to explain this metric better and discuss the implications of deviations from 1:1 parity between prospective fitness elasticities and retrospective fitness contributions [lines 112-116, 236-242, 431-440, 579-582], including a new Fig 4 that illustrates the contrast between these metrics. Actually, Zij = Cij/Eij = (Δaij * sij) / (sij (aij / λ)) = (sij /sij) (Δaij / aij) (λ) = (Δaij/ aij)(λ), which reflects the effects of population-level differences, and so would be the proportional change in the vital rate scaled by the population growth rate (in numerator). We talk about Z as being the proportion of the potential vital rate effects that are realized by population-level differences (with both contributions Cij and elasticities Eij invoking sensitivities sij). Although this could be flipped around as you simplified it, to merely reflect the vital rate differences we are looking at how these vital rate differences are scaled by elasticities to drive LTRE contributions (and thus drive them to differ from elasticities that do not take vital rate differences into account). In essence Z reflects the variation across populations in a vital rate that are ignored by elasticities but are included in LTRE contributions predicting the fitness effects of observed vital rate differences. If Z if far below 1.0, then the “importance” estimates of elasticities fail to predict the vital rates actually driving differences we observe between populations. In this case, Z << 1 (C << E) might indicate constraints on vital rate variability due to stabilization selection-buffered traits and Z >>1 (C>>E) might indicate constraints on stabilizing (or directional) selection due to tradeoffs such as that between fertility and infant survival.

I am also not clear on whether Z should be sum(Cij)/sum(Eij) or rather sum(Cij/Eij), which can be substantially different.

We use the sum(Cij)/sum(Eij) because it is consistent with how we report the proportion of all contributions or elasticities due to a given life cycle component [lines 205-210, 279-280].

Finally I don’ t understand the values for the Zs in table 1. For instance for Ache, Zc=Cc/Ec=7/42=0.16, not 95. Or, am I missing something?

This was a typo in the table, now fixed, where the column headers for Ca and Cc were switched. So for the Ache, Zc = Cc/Ec = 40/42 = 0.95, Za = Ca/Ea = 7/54 = 0.13. For consistency, we also added a Zs column for all survival rates where Zs = Cs/Es = 0.49. [line 289]

I would suggest to incorporate Table S5 into the main text.

Ok, we now incorporate the former Table S5 in the main text as Table 1 [lines 192-194].

Main comment 3

I am not sure that I understand prediction 1 and it may be there a conceptual mistake. Canalization is the fact that vital rates impacting the more fitness (here λ) should exhibit lower temporal variance than those under weaker selection. The authors rightfully quote [22] and [23] testing this by somehow correlating the estimation of the variation in time of matrix entries to the variation of λ (but variance is in time, not between populations, isn’t it?).

Yes. First, P1 depends primarily on the large elasticities of child survival more than due to low variance. The Z metrics (Z = C/E) compare contributions (C) to elasticities (E) to see how well prospective estimates (elasticities) predict important vital rates driving population-level differences (LTRE contributions). The only thing that hinges on the “space-for-time” substitution in this comparison is the prediction (Saether and Bakke 2000) that high-elasticity rates should vary less across populations because they are subject to canalizing/stabilizing selection in each population. A previous version of this manuscript looked in more detail at these predictions but we are not claiming here that spatial variation in vital rates is a good indicator of temporal variation within populations and we have limited time-series data to validate the “space-for-time” proxy (see Gurven and Davison 2019 for brief treatment of the temporal variation documented in a small subset of these populations).

Note also that, if I am not mistaken, [23] performed elasticity analysis not LTRE (as suggested in sentence l84) such that the effect of variance on LTRE is also not that clear to me. Anyway, I cannot see how LTRE between populations (without temporal variance accounted for) can allow identifying life-history constraint and how the concept of canalization is involved into this. If I am mistaken, I strongly suggest the authors to make their point more clear.

Saether and Bakke 2000 conducted both prospective (elasticity) and retrospective (LTRE) analyses, and found that LTRE contributions decreased with vital rate sensitivity (suggesting demographic buffering via stabilizing selection sensu Pfister 1998).

We have added text to P1 to help clarify our prediction here. [lines 112-122, 224-228] Although stabilizing selection occurs over time, we are comparing populations and we are using between-population comparisons. Saether and Bakke (2000) predicted smaller LTRE contributions (between populations) and other researchers have used “space-for-time” substitution with varying success (Strier 2016), so P1 uses the data available to see how well prospective elasticities predict observed (retrospective) vital rate contributions. We also mention in the Discussion how child survival actually varies a lot over time despite presumably strong stabilizing selection, but our main finding for P1 is that child survival differences have a smaller effect across populations than predicted by their high elasticities, whereas fertility differences have a larger effect.

Main comment 4

I find that P1 (l81-82) is not well formulated. If I am not mistaken, it is a property of elasticity to be strictly declining with age in an age-structured model, infant and children survival elasticity always being constant and the largest. Metric have to be twisted and parameters very different that those of mammals to find alternative pattern (Baudish, 2005, PNAS). It is between species that relative magnitude of elasticities can be compared and I would strongly suggest to cite Heppell et al., 2000, Ecology for a comparison in mammals across the slow-fast continuum. Also why not refering to and using a classical Silvertown triangle to represented this (Silvertown, J., et al. 1993. Jouranl of Ecology 81:465–476)?

We now reference Heppel et al. 2000 when talking about age-patterns of elasticities differing within and between species [lines 131-133]. Whereas both the sensitivity and elasticity of survival decline with age due to declining expected future reproduction, elasticities are scaled by mean vital rates. This means that fertility elasticities are zero until AFB and then rise to a peak at some adult age, then decline due to mortality and and diminishing future fertility (Fig 1B).

We compare fitness contributions between populations and between species to see whether newborn survival (p0) makes the largest contribution because elasticity to recruitment is the largest elasticity. However, under strong buffering selection resulting in canalization, variation in newborn survival would be reduced, and thus fitness contributions from newborn survival should be small. Instead, we find large contributions of newborn survival, meaning that this vital rate is an important driver of population growth differences. This suggests that infant survival may not be buffered against variation, since Saether and Bakke (2000) predict smaller contributions from vital rates with high elasticities (Pfister 1998).

I am not sure what the authors want to test with prediction 2 which is the obvious fact that both increasing survival and fertility should increase population growth rate. Evidencing trade-off between fertility and survival?

Yes, exactly. Ordinarily you’d expect both higher survivorship and fertility to lead to higher growth rates – certainly this is the trivial case within a population, but does higher survivorship and fertility meaningfully predict higher growth rates across populations? They might not if survivorship benefits are among post-reproductive adults, or if there are trade-offs in vital rates. Such trade-offs have been documented in humans and non-human primates [24-28]. Our finding that population growth is decoupled from fertility in chimpanzees is consistent with a strong effect of mortality limiting potentially high fertility (if mortality were lower, high fertility would increase population growth more); that population growth is decoupled from survival in humans is consistent with long post-reproductive lifespans (contributing to high e0) during which direct fitness contributions are zero (surviving beyond ALB does not provide direct fitness).

As you suggest, we now include a ternary diagram (Fig 4), similar to those used by Silvertown 1993, as a more reader-friendly way of comparing elasticities for child survival, adult survival and fertility across populations. Fig 4A shows the ordination for elasticities (Ec, Ea, Ef), showing the strong selection on child survival and Fig 4B shows the ordination for vital rate effects (Cc, Ca, Cf), which are much more diverse and illustrate the difference between the potential for vital rate effects estimated by prospective elasticities and the observed vital rate effects, which scale elasticities by population-level differences.

Main comment 5

I would suggest the authors to discuss limitations of elasticities analyses in general and apply to humans in particular. (1) First elasticities are only one hand of the evolutionary GxE equation (Lande 1982;

Charlesworth 1990; Steppan et al. 2002). Evolution also need genetic variance and this could be

acknowledged. (2) The authors are comparing Leslie matrix, but any sub structuring (as individual

heterogeneity) or hidden trade-offs may change the results. (3) It the most important, it has been shown that intergenerational transfers between age-class or parental investment can strongly impacts elasticities on survival and fertility in humans (Lee 2003, PNAS, Pavard et al. 2007, Evolution, Pavard & Branger 2012 Theo Pop Biol). For instance, magnitude of elasticities on adult survival may be strongly underestimated when maternal or grand-maternal care is not implemented. Elasticities on fertilities by age can also exhibit very different patterns. Because such intergenerational transfers have been proposed as a very important drivers of the evolution of human life-history, the authors should at least discuss it. (4) As the authors wonderfully argued in a recent article, only periodic catastrophes in humans can explain the human forager paradox. It also means that all elasticity analysis in constant and infinite environment is somehow incomplete and elasticity should be considered into a stochastic model.

We thank the reviewer for these insightful comments.

(1) We now mention the need for genetic/phenotypic variability for natural selection to act on (and relate to canalization resulting small differences between populations, sensu Saether and Bakke 2000). [lines 514-515]

(2) Our asymptotic analyses look at the effects of changes in mean vital rates and do not address temporal variability in vital rates or the effects of individual variation. Although methods exist to decompose stochastic contributions (Davison et al. 2014), and we do reference temporal variation [lines 228-234] we do not have sufficient time-series date to conduct such analyses [lines 528-531].

(3) We mention the importance of intergenerational transfers driving indirect fitness contributions, and how intergenerational transfers can greatly alter the force of selection reflected in vital rate elasticities [lines 517-525]. However, estimating their fitness effects is not tractable with current methods, though we now cite Pavard et al. 2007 and Pavard & Branger 2012 for examples showing how transfers can impact elasticities in humans [lines 521-523]. We are excited to report that another paper in progress will present a new framework for estimating these indirect fitness contributions made via production or information transfers.

(4) Again, the existing subsistence population data limit our ability to conduct stochastic analyses but we acknowledge the importance of both demographic and environmental stochasticity that is missed in our analysis of averaged rates [lines 528-531]. We also miss individual heterogeneity that would be reflected in the underlying individual data but are obscured by our focus on average population statistics.

Minor comments & Détails

l418-420 – Isn’t there a contradiction is stating that juvenile survival is under canalization effect and stating later on that it varies more in time than adult survival?

Yes – if juvenile survival is canalized, then we shouldn’t expect it to vary much over time. In that case, our demonstration of substantial juvenile survival differences suggests that canalization is weak, or subject to environmental plasticity. We now clarify this point better in the paper to reduce any potential confusion [lines 224-235]. Juvenile survival is predicted to be canalized based on large elasticities but in fact it is highly variable (both over time as cited, and across populations as we show). This suggests limits on the ability of natural selection to buffer this rate (and we discuss why in terms of bet-hedging costs of reproduction).

Figure 1 – I am not sure how the SEM of elasticity is calculated. Is this trivial?

SEM = std(x)/sqrt(N), with std(x) taken across populations in a given set (e.g. hunter gatherers) and N being the number of populations in that set (e.g. 5 hunter-gatherers). 95% confidence intervals are represented by mean ± (2 SEM).

I am not sure what figure 2 really brings to the article since it is complicated and barely discussed.

Fig 2 summarizes the population-level net effects of survival vs. fertility. In the revised version, we explain its components better and discuss it more thoroughly in the paper [lines 336-343].

Problem in legend of figure 2 – Non-Forager are filled-circled as HG not filled square. Indicate that isolines are population growth rates. Remove the title.

Thanks for catching these. Typo corrected. Added reference to isoclines, and removed title. [lines 345-357]

L290 – I guess this is fig3.B instead of 2B,3?

It meant figure 2B and figure 3. Clarified in text. [lines 360, 364]

l 32 – I am not sure that reference [2] did anything in calculating the divergence time between humans and chimpanzees. Please check carefully this reference. I think it should instead be referred to l 33-34.

Thanks for your keen observation. We now more appropriately reference Hobolth et al. 2007 and Langergraber et al. 2012 there. [line 35]

l 35, “human fertility is similar to chimpanzees” and further. Please be more specific. Do you mean the shape of the age-specific fertilities? If yes, both the distribution and the TFR? Is the whole shape the distribution identical? The authors refer to [6] who focus mainly on reproductive senescence and show that if the timing of reproductive senescence is similar rate of reproductive senescence is not the same as well as how it correlates with decline in survival. I suggest to be more precise.

We added some remarks to better clarify similarities and differences in human and chimpanzee fertility [lines 37-40]. We cite [6] because of its supplement that includes ASFRs for multiple wild chimpanzee groups. In general, ASFR is similar during prime fertility ages but comparing them, on average, does reveal some key differences. Chimpanzees start reproducing at earlier ages and some continue to reproduce at later ages than humans (although most chimpanzees do not live until these later ages). In addition to fairly similar age profiles, which have been noted before, we find no significant difference in TFR, pointing out that completed chimpanzee fertility would be similar to that of human hunter-gatherers if they had human-like mortality schedules.

L37-38 – “However, there is great variation among human and chimpanzee life histories”. Here again I suggest to be more specific. The authors quote [8]. Although a valid reference, it can be completed by more recent article (as the [2]). Furthermore, I am not a native speaker but is “difference” would be better than “variation”?

We add the reference [2], now [9] [line 42]. To clarify, we are looking here at the degree of variation in vital rates (shown in the SEM envelopes), which shows higher variation across populations among humans vs. chimpanzees. This variation is due to differences in many vital rates that drives differences in population growth rates. Whereas our LTRE contributions examine the effects of life history differences, here we are characterizing the degree of variation among our study populations.

L39 and many time after – Please change “within species” by between population. In ecology, within species study refers more to the study of variance between individuals than between population as it is investigate here.

We are not investigating individual-level variation but rather variation at the population level, within- vs. between- species. The variation across human populations is used to estimate the variation within humans, whereas species differences are investigated by comparing mean life histories of humans vs. chimpanzees. To avoid confusion, we clarify this distinction the first time it is introduced. [line 45-47]

L 40 - “We interpret population life histories in terms of the slow-fast life history continuum [9]” – Why? Also, human a complete outlier on this continuum so that I wonder if this is relevant.

Others have shown that primates are “slow” compared to other mammals, that chimpanzees are “slow” compared to other primates and that humans are “slow” compared to chimpanzees, so humans could well be seen as an outlier. As others have argued before us, even among humans there is a fast-slow continuum. At the same time that humans can be thought of as having “slow” life histories in comparative light, humans may also be considered outliers in the sense that they combine elements of slow life histories (longevity, delayed maturity) and elements of fast life histories (high fertility, short IBI). We cite other references for slow/fast LH in primates/chimpanzees/humans. [lines 42-45, 124-130, 517-521]

L41 – To my knowledge Stearns’ book (but I don’t have it at hand here to check) is about trade-offs in

general not about their importance for human life-history evolution.

True, we are extending the idea of life history tradeoffs to humans. Others (e.g. Gillespie et al. 2008; Lawson et al. 2012) show costs of reproduction in humans and so we cite that work here instead [lines 124-130, 510-513]

In [6] the authors use extensive data in chimpanzees. Yet, this represent only about 600-1000 individuals (the equivalent of a small human village) spread in small groups over nearly a continent. How this could affect the authors’ results?

The small sample sizes may not accurately represent the diversity of chimpanzee life histories (or the diversity of individual life courses among chimpanzees), but they are the best data available. The ASFRs are fairly similar across groups. Thus, in [6] the authors provide ASFRs in two ways: averages across populations, and combined as if all from the same population (i.e. equivalent to weighted by sample size). The differences in ASFRs across these two conditions are minimal.

L55 – I am not found of the concept of population fitness underlying in this sentence.

Does this mean the reviewer is skeptical about the utility of elasticities for estimating the force of selection? This has a long tradition, but there is also a debate of the usefulness of sensitivities vs. elasticities

Elasticities and sensitivities are both useful in that they tell us about the potential for fitness effects if vital rates change (a measure of “bang-for-your-buck” in terms of fitness changes when vital rates differ). Elasticities have the additional utility of being proportional (a % increase in population growth due to a % increase in a vital rate); by scaling differences by their mean values elasticities allow us to compare the relative effects of changes in fertility vs. survival on the same y-axis. LTRE contributions, on the other hand, scale fitness effects to the differences between populations, so small differences in a high-elasticity rate can make larger fitness contributions than large differences in a low-elasticity rate. LTRE contributions, therefore, show us what actually explains differences in population growth rates based on the observed vital rate differences and their associated elasticities. Comparing realized (retrospective) LTRE contributions to potential suggested by (prospective) elasticities may tell us about potential constraints on selection when vital rate variation is limited (due to inherently low genetic variation or stabilizing selection being stronger than directional selection).

L71 – Indicates the pages in [15]. Note that you could have also quoted Hal Caswell, 1989, Analysis of life table response experiments I. Decomposition of effects on population growth rate, Ecological Modelling, Volume 46, Issues 3–4.

We now cite Caswell 1989 [line 121]

L153 – this should be sij instead of sj isn’t it?

Typo fixed [line 186]

L179 – I am not sure to understand why the fact that Cij and Eij sum to unity allow to calculate the ratio.

Because Cij and Eij each sum to unity, they represent the proportion of all observed effects and the proportion of potential effects, respectively. Therefore, we can sum the proportion of effects due to child survival and the proportion of elasticities to child survival and see if a larger or smaller proportion of retrospective effects was observed, relative to the potential suggested by prospective elasticities. This contrast is now illustrated by a new Fig 4.

We acknowledge that ratios of ratios are sometimes confusing or inappropriate, but here the ratio tells us whether proportional LTRE contributions due to X are greater than the proportional elasticity effects due to X. Because we already examine the net LTRE contributions (Fig. 3A), we look at effect magnitudes, which do not obscure opposing contributions (C < 0 vs C > 0), and we scale each effect magnitudes relative to the sum of all effect magnitudes because this makes them directly comparable to elasticities (which are likewise scaled to sum to unity across all the potential effects). [lines 205-210].

Figure 3A – I find the figure very complicated to figure out. Are they the mean summed C values between populations? Then why and how is separated positive and negative C values? Or “composite” refers to the mean trajectories for HG, F, WC. But then, again, how does it lead to both (+) and (-) for a same trait (i.e., Infant survival). I am very sorry if I miss this information.

Fig 3A shows net results for contributions (summing to the difference between a population growth rate and that of the mean hunter-gatherer reference), vs. 3B showing the relative effect magnitudes (summing to unity to be comparable with elasticities – see the new Fig 4). These effect magnitudes are what we use to test for differences in means and to calculate the Z ratios (for P1).

In Fig 3A, the positive values are summed above the origin and the negative values summed below, illustrating opposing contributions that, on net, yield the difference in population growth rate (inset white bars). For instance, Infant survival is from age 0 to age 2 so there are two age-contributions (a21 for survival 0 to 1, a32 for survival 1 to 2) that may be opposite in sign. We make a note in the figure caption explaining why contributions for a given life cycle component (e.g. infant survival) can have opposing contributions above and below the origin (C = 0). [lines 370-373]

The “composite” populations in Fig. 3A are the synthetic populations with vital rates equal to the average over a given group (e.g. the LTRE reference life history with vital rates averaged across hunter-gatherers, HG). Fig. 3B legend now clarifies that effect magnitudes averaged across groups of individual populations (e.g. the 5 hunter-gatherer populations), rather than results for the mean life histories (e.g. the mean hunter-gatherer reference) [lines 377-380].

Fig 3A shows vital rate contributions that are summed across life history components (infant, child and adult survival; early, prime and late fertility), but the positive and negative components are summed and plotted separately (positive contributions above zero and negative contributions upside-down below zero). If individual vital rates within a single life history component may have different signs they will appear both above and below the zero line (e.g. infant survival is from age zero to age 2 and includes both newborn survival age 0 to 1 and survival age 1 to 2, so it may have both positive and negative contributions). In Fig 3B these opposing contributions are weighted equally in the combined magnitude so they sum to unity (100% of all effect magnitudes).

Attachment

Submitted filename: Davison and Gurven PONE Response to Reviewers.docx

Decision Letter 1

Masami Fujiwara

5 Jan 2021

PONE-D-20-26560R1

Human uniqueness? Life history diversity among small-scale societies and chimpanzees

PLOS ONE

Dear Dr. Davison,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

Reading the revised manuscript and the replies to reviewers’ comments, I feel the concerns raised by the two reviewers were addressed satisfactorily. However, I would like to suggest some further improvements (I will not insist neither of the suggestions).

Reviewer 1 included some questions. Those were answered in the replies but were not reflected in the manuscript. The questions were treated as minor comments, but the readers might have the same questions. I am wondering if a couple of sentences should be added in the manuscript to clarify (e.g. by citing the papers that were used in the replies).

Tables 2 & 3 are difficult to digest. It is better to convert them into figures and move the tables to appendix.

Please submit your revised manuscript by Feb 19 2021 11:59PM. If you will need more time than this to complete your revisions, please reply to this message or contact the journal office at plosone@plos.org. When you're ready to submit your revision, log on to https://www.editorialmanager.com/pone/ and select the 'Submissions Needing Revision' folder to locate your manuscript file.

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If you would like to make changes to your financial disclosure, please include your updated statement in your cover letter. Guidelines for resubmitting your figure files are available below the reviewer comments at the end of this letter.

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We look forward to receiving your revised manuscript.

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Masami Fujiwara, PhD

Academic Editor

PLOS ONE

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PLoS One. 2021 Feb 22;16(2):e0239170. doi: 10.1371/journal.pone.0239170.r004

Author response to Decision Letter 1


22 Jan 2021

Response to Editor’s comments:

Dear Dr. Davison,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

Reading the revised manuscript and the replies to reviewers’ comments, I feel the concerns raised by the two reviewers were addressed satisfactorily. However, I would like to suggest some further improvements (I will not insist neither of the suggestions).

Reviewer 1 included some questions. Those were answered in the replies but were not reflected in the manuscript. The questions were treated as minor comments, but the readers might have the same questions. I am wondering if a couple of sentences should be added in the manuscript to clarify (e.g. by citing the papers that were used in the replies).

We have now clarified a number of passages to better address the concerns of reviewers that were answered in the Response but not directly addressed in the text.

R1 Lines 213-227: We now clarify why ALB may be lower among managed chimpanzees (Lines 154-158).

R1 Lines 213-227: We now cite Van Groenendael et al. (1994) as a reference for why E0 = Ef (Lines 527-530).

R2 Main Comment 4: We have clarified the importance of elasticities and fitness effects summing to unity and following Silvertown et al. (1993, now referenced) we have included a new ternary diagram contrasting these two metrics (lines 210-213)

R2 Main Comment 5: We have added additional references addressing the possibility that negative genetic correlations could limit vital rate contributions (Lines 525-527).

Tables 2 & 3 are difficult to digest. It is better to convert them into figures and move the tables to appendix.

Table 2: We have now put most of the results shown in Table 2 into a new Fig 2 (Lines 276-287). The top panel (A) shows mortality statistics (lα, lM, lω, e0) and the bottom panel (B) shows fertility statistics (AFB, ALB, IBI, TFR, and rough estimates of ages at parity 0-10 assuming equal birth spacing IBIs between AFB and ALB). The remaining Table 2 only contains the Z metrics comparing observed fitness effects to the potential described by elasticities (Lines 446-454).

Table 3: We have simplified Table 3 by reducing the number of decimal places reported and converting the significance metrics from columns containing p-values to asterisks (Lines 465-472).

Please submit your revised manuscript by Feb 19 2021 11:59PM. If you will need more time than this to complete your revisions, please reply to this message or contact the journal office at plosone@plos.org. When you're ready to submit your revision, log on to https://www.editorialmanager.com/pone/ and select the 'Submissions Needing Revision' folder to locate your manuscript file.

Please include the following items when submitting your revised manuscript:

• A rebuttal letter that responds to each point raised by the academic editor and reviewer(s). You should upload this letter as a separate file labeled 'Response to Reviewers'.

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• An unmarked version of your revised paper without tracked changes. You should upload this as a separate file labeled 'Manuscript'.

If you would like to make changes to your financial disclosure, please include your updated statement in your cover letter. Guidelines for resubmitting your figure files are available below the reviewer comments at the end of this letter.

If applicable, we recommend that you deposit your laboratory protocols in protocols.io to enhance the reproducibility of your results. Protocols.io assigns your protocol its own identifier (DOI) so that it can be cited independently in the future. For instructions see: http://journals.plos.org/plosone/s/submission-guidelines#loc-laboratory-protocols

We look forward to receiving your revised manuscript.

Kind regards,

Masami Fujiwara, PhD

Academic Editor

PLOS ONE

RESPONSE TO REVIEWERS

[R1] Reviewer Comments for PONE-D-20-26560

Human uniqueness illustrated by life history diversity among small-scale societies and chimpanzees

Authors of this manuscript showed that delayed maturity and adult mortal-

ity is the main difference to separate humans from chimpanzees which shares

common ancestor. They employed Life Table Response Experiments to quantify

vital rate contributions to population growth rate. Their results and discussion

are is interesting. Their approach is justified. However, this manuscript con-

tains numerous inconsistencies in its data and statements. It requires careful

attention on details to justify its results and conclusions.

We thank you for the positive feedback. We have revised the paper considerably to account for all of the reviewers’ careful comments. Our responses are in bold.

Major inconsistencies and questions:

• Lines 213 - 227, Table 1: In the manuscript, line 180 states that Za =

Ca=Ea and lines 148 and 150 shows that Ec + Ea + Ef = 1. However,

numbers in the table are inconsistent to the statement in text. Za 6=

Ca=Ea and Ec + Ea + Ef 6= 1

We apologize for the typo in which the column headers for Cc and Ca were switched. [Line 289]

We have now made sure all notation is consistent throughout the paper:

(Ec + Ea) + Ef = Es + Ef = 1 in every row, and in every row Z = C/E (e.g. Zf = Cf/Ef).

• Lines 213 - 227, Table 1: Why E0 = Ef ?

This is a fact that is demonstrated by loop elasticities, which show that the sum of elasticities coming into a life history stage must be equal to the sum of elasticities across all outgoing transitions. Here, E0 = E(a21) = sum(Efert) because the elasticity to recruitment (the only pathway out of the newborn “stage”) is equal to the sum of elasticities to fertility at different ages (Van Groenendael et al. 1994).

Van Groenendael, Jan, Hans De Kroon, Susan Kalisz, and Shripad Tuljapurkar. "Loop analysis: evaluating life history pathways in population projection matrices." Ecology 75, no. 8 (1994): 2410-2415.

• Lines 213 - 227, Table 1: Why do managed and captive population have

smaller ALB compare to Wild population for chimpanzees?

For the captive breeding program at Taronga Zoo, ALB estimates come from only 7 females, including one that died 3.5 y after the last birth, one on contraception, and one that was transferred (Littleton 2005), so this is likely an underestimate of captive ALB. In the Gambia population, they do not use contraceptives and AFBs are similar to wild chimpanzees, but there may be factors stemming from prior captivity that limit their reproductive lifespans (Marsden et al. 2006). These are some of the reasons that only wild chimpanzees are considered in the ALB comparisons (S2 table).

• Fig 3A: Why are there two yellow and red sections in the bar of WC- and

WC? Why are there two red and brown sections in the bar of WC+? Why

does Infant survival (the purple section) have both positive and negative

contributions in WC- and WC?

The bars above the y-axis origin (C = 0) show positive contributions and those below the origin show negative contributions. They sum together to the net contributions (shown as white bars), which sum to the total difference in population growth rate between the target (m) and Reference (R). This is clarified in the figure caption. [lines 370-373].

We consider infancy as from birth (age 0) to 2 yrs. Thus, there are two age-contributions of infant survival (p0 = a21, p1 = a32) that may be of opposing sign. For instance, with WC, newborn survival p0 (a21) makes positive contributions because it is higher than that of hunter-gatherers (R), but older infant survival p1 (a32) makes a negative contribution because age 1-2 survival estimates for the WC average and WC- (declining chimpanzee average) are lower than those of the hunter-gatherer average (R).

• Lines 337-338: \\E0 > Ec > Ea > Ef " is not consistent with numbers in Table 1.

We regret the confusion caused by these inequalities and we have simplified our explanation of P1, removing the inequality and explaining the prediction in clearer English. [line 416]

E0 (the elasticity of newborn survival p0, which could also be written as E21, the elasticity of matrix element a21) is the largest elasticity for a single transition (here, individual matrix elements). Ex+1,x<α is larger than Ex+1,x≥α at all ages and Ex+1,x > E1x except for the last couple years of reproductive life. However, the values in Table 1 are the sums across all ages (e.g. Ec = Σx<α Ex+1,x, Ea = Σx≥α Ex+1,x), so Ea may be larger than Ec because it sums over a larger range of ages (all ages after α, the minimum AFB). As stated above, E0 = Ef = Σx E1x , requiring that the elasticities to fertility at single ages are each lower than E0.

• Line 345: \\Cc > Ca" is not consistent with numbers in Table 1.

We have fixed a typo where the column headers for Cc and Ca were switched in Table 1. [lines 289, 423]

• Line 350: \\Cs _ Cf " is not consistent with numbers in Table 1.

This “≈” indicates there is no significant difference between Cs and Cf (p > 0.1), not that these values are equal. [line 429]

• Lines 357-359: \\Zc _ Za", \\Zc < Za" and \\Zc < Za" are not consistent with numbers in Table 1.

The inequalities were reversed and are now correct and in agreement with Table 1: [lines 437-442]

Zc ≈ Za (HG, p > 0.1), Zc > Za (WC, p = 0.016), Zc > Za (NF, p = 0.095), Zc << Zf (p ≤ 0.008).

We now clarify that, by saying that adult survival effects are more under-estimated than child survival effects, this means that Za if farther below 1:1 than Zc (so Zc > Za).

Minor points:

• Line 127: please spell out \\NLIN".

Done [line 165]

• Lines 131 to 133: Is it a duplicated statement?

This statement is not duplicated elsewhere in the paper.

• Line 146: \\(eij = (@_=@aij) = sij(_=aij)" should be \\(eij = (@_=@aij) =

sij(aij=_))".

Typo fixed [line 186]. We also capitalize all elasticities (e.g. Eij) to avoid confusion with the lower-case e0 for life expectancy [lines 185-191].

• Line 153: \\ sumi;j sj_aij" should be \\ sum_i;j (sij_aij).

Typo fixed [line 197]

• Line 184: \\maxi;j(eij)" should be `max(eij)".

We now clarify that E0 (distinguished from life expectancy e0 by capitalization) is the highest elasticity (E0 = max(Eij)) – elasticity to age 0 survival in the matrix element a21. [lines 245-246]

• Table 1 row 1: Please add description of l_, lM, l!, TFR, AFB, MAC,

ALB and IBI in the caption.

Done [lines 274-277]. We also include a new Table 1 with variable definitions and source equations [lines 192-194, moved from Supporting Information].

• Table 1 row 1: Please switch column Ca and Cc for display consistency.

Done [line 289]

• Line 278, Fig 2: Cannot _nd the \\non-foragers by _lled squares" in Fig 2.

Not sure why. They were in the original file and we have made sure they are in the current file. [lines 347-349]

• Line 279, Fig 2: Cannot _nd the \\(labeled NF)" in Fig 2.

Again, not sure why. It is the unfilled square with a dot in it, located at (-0.001157,0.01994).

• Line 349: \\S4 Table" should be "S2 Table".

Fixed to say S3 Table (Differences within populations) [line 425]

• Line 352: \\S4 Table" should be "S2 Table".

Fixed to say S3 Table (Differences within populations) [line 430]

• Line 360: \\S4 Table" should be "S2 Table".

Fixed to say S3 Table (Differences within populations) [line 442]

• It will be helpful to add a data table of computed age specific mortality

and fertility of each population (which are the data used to plot Fig 1)

into online Supporting Information (S2, S3 Tables).

Added [lines 882-887]

[R2] Review of Human uniqueness illustrated by life history diversity among small-scale societies and chimpanzees by Raziel Davison and Michael Gurven.

In this article, the authors compare age-trajectories of survival and fertility of many hunter-gatherer and

forager human populations and chimpanzees. They then perform LTRE and spectral analysis to investigate potential evolutionary changes between these trajectories. This is a very interesting manuscript, revisiting with originality and up-to-date data a classic question in human evolutionary biology: the evolution of the human and chimpanzee life-cycle since divergence. The manuscript incorporates a wonderful comparison of age-trajectories of the different not-industralized populations with several chimpanzee populations, again using the best data to date. In this respect I think that this article has great potential. I am more skeptical about the evolutionary interpretation of the LTRE and elasticity analysis. I think that there are several conceptual and technical issues which need to be addressed prior to publication.

We appreciate the positive comments. Below we address the reviewer’s concerns about conceptual and technical issues.

Main comments 1

The authors mainly use two metrics in the analyses: elasticities and what they called fitness contributions. All over the manuscript, I found unclear the definition of fitness contribution, and what the two measures together brings to the analyse.

First, I think there is a problem of definition throughout the manuscript. This starts L 52-55 where I found the sentence “These fitness contributions illustrate how life history event schedules drive differences within and between species, while elasticities reflect the force of selection and highlight the potential for fitness contributions if vital rates vary across populations [19]” not very clear (illustrate? drive difference of what on what?). The authors quote [19] which focuses (to my knowledge) exclusively on elasticity and tells anything (as far as I remember it) on contrasting elasticity and ‘fitness contribution’.

We now more carefully define “fitness contribution” [lines 88-95, 195-200], and clarify the distinction between this measure and fitness elasticity [lines 62-70, 95-103, 431-442]. We also clarify the difference between signed contributions (which sum to estimate the difference in population growth rate between the target population m and the reference R) and effect magnitudes (which are the absolute values of contributions, scaled to sum to unity as % of total effect) [lines 205-210]. To illustrate the difference between elasticities and vital rate effects, we include a new Fig 4 – a ternary diagram that compares vital rate elasticities (heavily weighted toward child survival) vs. vital rate effects, which are much more diverse.

We also clarified that we are talking about different approaches for explaining differences in population growth rates, within and between species [lines 73-76, 198-205]. We also take care to maintain tense agreement throughout, using the present tense for statistics (e.g. averaged vital rates) and prospective estimates (e.g. elasticities) and the past tense for contributions and effects, since they are retrospective decompositions of observed differences. Also, we added a very brief treatment of the difference between prospective and retrospective analyses and we now reference a more detailed treatment of this distinction (Horvitz et al. 2007) [lines 117-122].

The authors are later more explicit when referring to LTRE where they are defined as the “vital rate

contributions to observed differences in population growth rates” between two projection matrices (please note that vital rates are not individual measures as mentioned in l71 since there are population aggregates). In this sense, they are not “contribution to [a population] fitness” but how differences in entries of two matrices translate into difference in change of population reference growth rate. I strongly suggest the authors to define it more clearly. A way to do it is that sensitivity sij is the impact on λ of one unit of change in matrix entry aij. If we multiply sij by Δaij, it tells us how such a change would have modify the reference population growth λ.

Thanks for this comment. We modified the text to read “…decompose contributions of different vital rates to observed differences in population growth rates. Vital rate contributions (Cij) are estimated by multiplying vital rate sensitivities (sij), which reflects the fitness effect of a one-unit change in matrix element ai, by population-level differences (Δai) in vital rates (Δaij = aij(m) – aij(R); Cij = sij Δai), comparing each observed population (m) with a common reference (R).” [lines 88-93]. We agree that LTREs do not estimate contributions to population fitness unless you use a null matrix as the reference, in which case the contribution of matrix element aij is the product of the vital rate and the sensitivity (Cij = sij Δaij where Δaij = aij – 0, so Cij = sij aij ). In our LTRE, vital rate contributions (Cij) are estimated by multiplying vital rate sensitivities (sij) by population-level differences (Δai ) in vital rates (Δaij = aij(m) – aij(R); Cij = sij Δai), comparing each observed population (m) with a common reference (R), which contains the mean vital rates calculated across all hunter-gatherers.

Second, the authors then states l74-75 that “Differences between realized fitness contributions and the potential suggested by elasticities may indicate constraints on life history evolution” (also 405-406). This can be a fantastic idea and I can intuit what the authors have in mind. Yet it is not trivial to me, and it makes me wonder if this has been already theorized elsewhere. If it has, the author should clearly state it and explain why (I think not shying away equations). If it has not, I would strongly encourage the authors to develop - and if possible demonstrate - this idea. For instance, Cij, is a given amount of change between two matrix waited by sensitivities. Does this idea relates to the long lasting debate on the difference between using sensitivities and elasticities?

We appreciate the reviewer’s enthusiasm here. Saether and Bakke (2000) conjecture that LTRE contributions may be small despite large elasticities, due to stabilizing selection buffering important vital rates against temporal variation (Pfister 1998). Others have noted problems with using elasticities to predict vital rate effects and LTREs have been presented as the best tool for population comparison. We now include more background literature on this subject in the introduction, and include more implications of our findings in the discussion [lines 117-122]. Our Z metrics directly compare prospective vs. retrospective “importance” measures, but it is not trivial to derive inferences from low (<<1) vs. high (>>1) deviations from prospective estimates.

When we compare retrospective contributions to prospective elasticities, we ask what departures between these alternative measures of the relative “importance” of vital rates might tell us about selection or constraints on variation across populations. For instance, if the relative effects of child survival differences are smaller than their elasticities suggest, this could support the “buffering hypothesis” of Pfister (1998) that has been predicted (Saether and Bakke 2000) to reduce variation in child survival rates between populations as well as within populations over time. This would mean that child survival elasticities would be larger than the relative effects of child survival differences, whereas effects of adult survival and fertility differences would be larger than their elasticities. If contributions of fertility differences are larger than their elasticities, this may reflect fertility-survival tradeoffs, while larger contributions of adult survival may indicate reproductive tradeoffs that make up for high child mortality in uncertain or low-resource environments [lines 96-104].

As far as we understand, the debate between sensitivities and elasticities centers on the importance of structural zeros in the population matrix. For instance, human fertility is zero at age 5 in all populations and so the elasticity E16 will be zero - but the large sensitivities indicate the change in population growth that would occur if age 5 humans suddenly evolved non-zero fertility. This is an interesting possibility, and suggests that selection would be strong on age 5 fertility, but because there is zero variation in age 5 fertility rates, there is nothing for selection to work with (selection requires variation in heritable fitness-relevant traits).

Main comment 2

The authors used the ratio between contribution and elasticity to measure (if I understand well) these

possible constraints. But, I would strongly suggest the authors to check the resulting equation. First, l146, I think there is a mistake: eij is not equal to sij*(λ/aij) but to sij*(aij/λ) (I guess that this is a typo because elasticities look ok in fig 1).

Yes, thanks for catching this. We fixed the typo. [line 186]

But then Zij = Cij/Eij = (Δaij.sij)/(sij(aij/λ))=(Δaij/ aij)(1/λ).

Then Z is the ‘percentage’ of difference between the reference and the analysed matrices divided by the

growth rate. I am far on being clear on what does this mean and how this allows identifying constraint on a vital rate. I therefore strongly suggest the authors to explicit this metric and how/why it is used to solve their research question.

We try to explain this metric better and discuss the implications of deviations from 1:1 parity between prospective fitness elasticities and retrospective fitness contributions [lines 112-116, 236-242, 431-442, 581-583], including a new Fig 4 that illustrates the contrast between these metrics. Actually, Zij = Cij/Eij = (Δaij * sij) / (sij (aij / λ)) = (sij /sij) (Δaij / aij) (λ) = (Δaij/ aij)(λ), which reflects the effects of population-level differences, and so would be the proportional change in the vital rate scaled by the population growth rate (in numerator). We talk about Z as being the proportion of the potential vital rate effects that are realized by population-level differences (with both contributions Cij and elasticities Eij invoking sensitivities sij). Although this could be flipped around as you simplified it, to merely reflect the vital rate differences we are looking at how these vital rate differences are scaled by elasticities to drive LTRE contributions (and thus drive them to differ from elasticities that do not take vital rate differences into account). In essence Z reflects the variation across populations in a vital rate that are ignored by elasticities but are included in LTRE contributions predicting the fitness effects of observed vital rate differences. If Z if far below 1.0, then the “importance” estimates of elasticities fail to predict the vital rates actually driving differences we observe between populations. In this case, Z << 1 (C << E) might indicate constraints on vital rate variability due to stabilization selection-buffered traits and Z >>1 (C>>E) might indicate constraints on stabilizing (or directional) selection due to tradeoffs such as that between fertility and infant survival.

I am also not clear on whether Z should be sum(Cij)/sum(Eij) or rather sum(Cij/Eij), which can be substantially different.

We use the sum(Cij)/sum(Eij) because it is consistent with how we report the proportion of all contributions or elasticities due to a given life cycle component [lines 205-210, 279-280].

Finally I don’ t understand the values for the Zs in table 1. For instance for Ache, Zc=Cc/Ec=7/42=0.16, not 95. Or, am I missing something?

This was a typo in the table, now fixed, where the column headers for Ca and Cc were switched. So for the Ache, Zc = Cc/Ec = 40/42 = 0.95, Za = Ca/Ea = 7/54 = 0.13. For consistency, we also added a Zs column for all survival rates where Zs = Cs/Es = 0.49. [line 289]

I would suggest to incorporate Table S5 into the main text.

Ok, we now incorporate the former Table S5 in the main text as Table 1 [lines 192-194].

Main comment 3

I am not sure that I understand prediction 1 and it may be there a conceptual mistake. Canalization is the fact that vital rates impacting the more fitness (here λ) should exhibit lower temporal variance than those under weaker selection. The authors rightfully quote [22] and [23] testing this by somehow correlating the estimation of the variation in time of matrix entries to the variation of λ (but variance is in time, not between populations, isn’t it?).

Yes. First, P1 depends primarily on the large elasticities of child survival more than due to low variance. The Z metrics (Z = C/E) compare contributions (C) to elasticities (E) to see how well prospective estimates (elasticities) predict important vital rates driving population-level differences (LTRE contributions). The only thing that hinges on the “space-for-time” substitution in this comparison is the prediction (Saether and Bakke 2000) that high-elasticity rates should vary less across populations because they are subject to canalizing/stabilizing selection in each population. A previous version of this manuscript looked in more detail at these predictions but we are not claiming here that spatial variation in vital rates is a good indicator of temporal variation within populations and we have limited time-series data to validate the “space-for-time” proxy (see Gurven and Davison 2019 for brief treatment of the temporal variation documented in a small subset of these populations).

Note also that, if I am not mistaken, [23] performed elasticity analysis not LTRE (as suggested in sentence l84) such that the effect of variance on LTRE is also not that clear to me. Anyway, I cannot see how LTRE between populations (without temporal variance accounted for) can allow identifying life-history constraint and how the concept of canalization is involved into this. If I am mistaken, I strongly suggest the authors to make their point more clear.

Saether and Bakke 2000 conducted both prospective (elasticity) and retrospective (LTRE) analyses, and found that LTRE contributions decreased with vital rate sensitivity (suggesting demographic buffering via stabilizing selection sensu Pfister 1998).

We have added text to P1 to help clarify our prediction here. [lines 112-122, 224-228] Although stabilizing selection occurs over time, we are comparing populations and we are using between-population comparisons. Saether and Bakke (2000) predicted smaller LTRE contributions (between populations) and other researchers have used “space-for-time” substitution with varying success (Strier 2016), so P1 uses the data available to see how well prospective elasticities predict observed (retrospective) vital rate contributions. We also mention in the Discussion how child survival actually varies a lot over time despite presumably strong stabilizing selection, but our main finding for P1 is that child survival differences have a smaller effect across populations than predicted by their high elasticities, whereas fertility differences have a larger effect.

Main comment 4

I find that P1 (l81-82) is not well formulated. If I am not mistaken, it is a property of elasticity to be strictly declining with age in an age-structured model, infant and children survival elasticity always being constant and the largest. Metric have to be twisted and parameters very different that those of mammals to find alternative pattern (Baudish, 2005, PNAS). It is between species that relative magnitude of elasticities can be compared and I would strongly suggest to cite Heppell et al., 2000, Ecology for a comparison in mammals across the slow-fast continuum. Also why not refering to and using a classical Silvertown triangle to represented this (Silvertown, J., et al. 1993. Jouranl of Ecology 81:465–476)?

We now reference Heppel et al. 2000 when talking about age-patterns of elasticities differing within and between species [lines 131-133]. Whereas both the sensitivity and elasticity of survival decline with age due to declining expected future reproduction, elasticities are scaled by mean vital rates. This means that fertility elasticities are zero until AFB and then rise to a peak at some adult age, then decline due to mortality and and diminishing future fertility (Fig 1B).

We compare fitness contributions between populations and between species to see whether newborn survival (p0) makes the largest contribution because elasticity to recruitment is the largest elasticity. However, under strong buffering selection resulting in canalization, variation in newborn survival would be reduced, and thus fitness contributions from newborn survival should be small. Instead, we find large contributions of newborn survival, meaning that this vital rate is an important driver of population growth differences. This suggests that infant survival may not be buffered against variation, since Saether and Bakke (2000) predict smaller contributions from vital rates with high elasticities (Pfister 1998).

I am not sure what the authors want to test with prediction 2 which is the obvious fact that both increasing survival and fertility should increase population growth rate. Evidencing trade-off between fertility and survival?

Yes, exactly. Ordinarily you’d expect both higher survivorship and fertility to lead to higher growth rates – certainly this is the trivial case within a population, but does higher survivorship and fertility meaningfully predict higher growth rates across populations? They might not if survivorship benefits are among post-reproductive adults, or if there are trade-offs in vital rates. Such trade-offs have been documented in humans and non-human primates [24-28]. Our finding that population growth is decoupled from fertility in chimpanzees is consistent with a strong effect of mortality limiting potentially high fertility (if mortality were lower, high fertility would increase population growth more); that population growth is decoupled from survival in humans is consistent with long post-reproductive lifespans (contributing to high e0) during which direct fitness contributions are zero (surviving beyond ALB does not provide direct fitness).

As you suggest, we now include a ternary diagram (Fig 4), similar to those used by Silvertown 1993, as a more reader-friendly way of comparing elasticities for child survival, adult survival and fertility across populations. Fig 4A shows the ordination for elasticities (Ec, Ea, Ef), showing the strong selection on child survival and Fig 4B shows the ordination for vital rate effects (Cc, Ca, Cf), which are much more diverse and illustrate the difference between the potential for vital rate effects estimated by prospective elasticities and the observed vital rate effects, which scale elasticities by population-level differences.

Main comment 5

I would suggest the authors to discuss limitations of elasticities analyses in general and apply to humans in particular. (1) First elasticities are only one hand of the evolutionary GxE equation (Lande 1982;

Charlesworth 1990; Steppan et al. 2002). Evolution also need genetic variance and this could be

acknowledged. (2) The authors are comparing Leslie matrix, but any sub structuring (as individual

heterogeneity) or hidden trade-offs may change the results. (3) It the most important, it has been shown that intergenerational transfers between age-class or parental investment can strongly impacts elasticities on survival and fertility in humans (Lee 2003, PNAS, Pavard et al. 2007, Evolution, Pavard & Branger 2012 Theo Pop Biol). For instance, magnitude of elasticities on adult survival may be strongly underestimated when maternal or grand-maternal care is not implemented. Elasticities on fertilities by age can also exhibit very different patterns. Because such intergenerational transfers have been proposed as a very important drivers of the evolution of human life-history, the authors should at least discuss it. (4) As the authors wonderfully argued in a recent article, only periodic catastrophes in humans can explain the human forager paradox. It also means that all elasticity analysis in constant and infinite environment is somehow incomplete and elasticity should be considered into a stochastic model.

We thank the reviewer for these insightful comments.

(1) We now mention the need for genetic/phenotypic variability for natural selection to act on (and relate to canalization resulting small differences between populations, sensu Saether and Bakke 2000). [lines 516-517]

(2) Our asymptotic analyses look at the effects of changes in mean vital rates and do not address temporal variability in vital rates or the effects of individual variation. Although methods exist to decompose stochastic contributions (Davison et al. 2014), and we do reference temporal variation [lines 228-234] we do not have sufficient time-series date to conduct such analyses [lines 530-533].

(3) We mention the importance of intergenerational transfers driving indirect fitness contributions, and how intergenerational transfers can greatly alter the force of selection reflected in vital rate elasticities [lines 519-527]. However, estimating their fitness effects is not tractable with current methods, though we now cite Pavard et al. 2007 and Pavard & Branger 2012 for examples showing how transfers can impact elasticities in humans [lines 523-525]. We are excited to report that another paper in progress will present a new framework for estimating these indirect fitness contributions made via production or information transfers.

(4) Again, the existing subsistence population data limit our ability to conduct stochastic analyses but we acknowledge the importance of both demographic and environmental stochasticity that is missed in our analysis of averaged rates [lines 528-531]. We also miss individual heterogeneity that would be reflected in the underlying individual data but are obscured by our focus on average population statistics.

Minor comments & Détails

l418-420 – Isn’t there a contradiction is stating that juvenile survival is under canalization effect and stating later on that it varies more in time than adult survival?

Yes – if juvenile survival is canalized, then we shouldn’t expect it to vary much over time. In that case, our demonstration of substantial juvenile survival differences suggests that canalization is weak, or subject to environmental plasticity. We now clarify this point better in the paper to reduce any potential confusion [lines 224-235]. Juvenile survival is predicted to be canalized based on large elasticities but in fact it is highly variable (both over time as cited, and across populations as we show). This suggests limits on the ability of natural selection to buffer this rate (and we discuss why in terms of bet-hedging costs of reproduction).

Figure 1 – I am not sure how the SEM of elasticity is calculated. Is this trivial?

SEM = std(x)/sqrt(N), with std(x) taken across populations in a given set (e.g. hunter gatherers) and N being the number of populations in that set (e.g. 5 hunter-gatherers). 95% confidence intervals are represented by mean ± (2 SEM).

I am not sure what figure 2 really brings to the article since it is complicated and barely discussed.

Fig 2 summarizes the population-level net effects of survival vs. fertility. In the revised version, we explain its components better and discuss it more thoroughly in the paper [lines 336-343].

Problem in legend of figure 2 – Non-Forager are filled-circled as HG not filled square. Indicate that isolines are population growth rates. Remove the title.

Thanks for catching these. Typo corrected. Added reference to isoclines, and removed title. [lines 345-357]

L290 – I guess this is fig3.B instead of 2B,3?

It meant figure 2B and figure 3. Clarified in text. [lines 360, 364]

l 32 – I am not sure that reference [2] did anything in calculating the divergence time between humans and chimpanzees. Please check carefully this reference. I think it should instead be referred to l 33-34.

Thanks for your keen observation. We now more appropriately reference Hobolth et al. 2007 and Langergraber et al. 2012 there. [line 35]

l 35, “human fertility is similar to chimpanzees” and further. Please be more specific. Do you mean the shape of the age-specific fertilities? If yes, both the distribution and the TFR? Is the whole shape the distribution identical? The authors refer to [6] who focus mainly on reproductive senescence and show that if the timing of reproductive senescence is similar rate of reproductive senescence is not the same as well as how it correlates with decline in survival. I suggest to be more precise.

We added some remarks to better clarify similarities and differences in human and chimpanzee fertility [lines 37-40]. We cite [6] because of its supplement that includes ASFRs for multiple wild chimpanzee groups. In general, ASFR is similar during prime fertility ages but comparing them, on average, does reveal some key differences. Chimpanzees start reproducing at earlier ages and some continue to reproduce at later ages than humans (although most chimpanzees do not live until these later ages). In addition to fairly similar age profiles, which have been noted before, we find no significant difference in TFR, pointing out that completed chimpanzee fertility would be similar to that of human hunter-gatherers if they had human-like mortality schedules.

L37-38 – “However, there is great variation among human and chimpanzee life histories”. Here again I suggest to be more specific. The authors quote [8]. Although a valid reference, it can be completed by more recent article (as the [2]). Furthermore, I am not a native speaker but is “difference” would be better than “variation”?

We add the reference [2], now [9] [line 42]. To clarify, we are looking here at the degree of variation in vital rates (shown in the SEM envelopes), which shows higher variation across populations among humans vs. chimpanzees. This variation is due to differences in many vital rates that drives differences in population growth rates. Whereas our LTRE contributions examine the effects of life history differences, here we are characterizing the degree of variation among our study populations.

L39 and many time after – Please change “within species” by between population. In ecology, within species study refers more to the study of variance between individuals than between population as it is investigate here.

We are not investigating individual-level variation but rather variation at the population level, within- vs. between- species. The variation across human populations is used to estimate the variation within humans, whereas species differences are investigated by comparing mean life histories of humans vs. chimpanzees. To avoid confusion, we clarify this distinction the first time it is introduced. [line 45-47]

L 40 - “We interpret population life histories in terms of the slow-fast life history continuum [9]” – Why? Also, human a complete outlier on this continuum so that I wonder if this is relevant.

Others have shown that primates are “slow” compared to other mammals, that chimpanzees are “slow” compared to other primates and that humans are “slow” compared to chimpanzees, so humans could well be seen as an outlier. As others have argued before us, even among humans there is a fast-slow continuum. At the same time that humans can be thought of as having “slow” life histories in comparative light, humans may also be considered outliers in the sense that they combine elements of slow life histories (longevity, delayed maturity) and elements of fast life histories (high fertility, short IBI). We cite other references for slow/fast LH in primates/chimpanzees/humans. [lines 42-45, 124-130, 519-523]

L41 – To my knowledge Stearns’ book (but I don’t have it at hand here to check) is about trade-offs in

general not about their importance for human life-history evolution.

True, we are extending the idea of life history tradeoffs to humans. Others (e.g. Gillespie et al. 2008; Lawson et al. 2012) show costs of reproduction in humans and so we cite that work here instead [lines 124-130, 512-515]

In [6] the authors use extensive data in chimpanzees. Yet, this represent only about 600-1000 individuals (the equivalent of a small human village) spread in small groups over nearly a continent. How this could affect the authors’ results?

The small sample sizes may not accurately represent the diversity of chimpanzee life histories (or the diversity of individual life courses among chimpanzees), but they are the best data available. The ASFRs are fairly similar across groups. Thus, in [6] the authors provide ASFRs in two ways: averages across populations, and combined as if all from the same population (i.e. equivalent to weighted by sample size). The differences in ASFRs across these two conditions are minimal.

L55 – I am not found of the concept of population fitness underlying in this sentence.

Does this mean the reviewer is skeptical about the utility of elasticities for estimating the force of selection? This has a long tradition, but there is also a debate of the usefulness of sensitivities vs. elasticities

Elasticities and sensitivities are both useful in that they tell us about the potential for fitness effects if vital rates change (a measure of “bang-for-your-buck” in terms of fitness changes when vital rates differ). Elasticities have the additional utility of being proportional (a % increase in population growth due to a % increase in a vital rate); by scaling differences by their mean values elasticities allow us to compare the relative effects of changes in fertility vs. survival on the same y-axis. LTRE contributions, on the other hand, scale fitness effects to the differences between populations, so small differences in a high-elasticity rate can make larger fitness contributions than large differences in a low-elasticity rate. LTRE contributions, therefore, show us what actually explains differences in population growth rates based on the observed vital rate differences and their associated elasticities. Comparing realized (retrospective) LTRE contributions to potential suggested by (prospective) elasticities may tell us about potential constraints on selection when vital rate variation is limited (due to inherently low genetic variation or stabilizing selection being stronger than directional selection).

L71 – Indicates the pages in [15]. Note that you could have also quoted Hal Caswell, 1989, Analysis of life table response experiments I. Decomposition of effects on population growth rate, Ecological Modelling, Volume 46, Issues 3–4.

We now cite Caswell 1989 [line 121]

L153 – this should be sij instead of sj isn’t it?

Typo fixed [line 186]

L179 – I am not sure to understand why the fact that Cij and Eij sum to unity allow to calculate the ratio.

Because Cij and Eij each sum to unity, they represent the proportion of all observed effects and the proportion of potential effects, respectively. Therefore, we can sum the proportion of effects due to child survival and the proportion of elasticities to child survival and see if a larger or smaller proportion of retrospective effects was observed, relative to the potential suggested by prospective elasticities. This contrast is now illustrated by a new Fig 4.

We acknowledge that ratios of ratios are sometimes confusing or inappropriate, but here the ratio tells us whether proportional LTRE contributions due to X are greater than the proportional elasticity effects due to X. Because we already examine the net LTRE contributions (Fig. 3A), we look at effect magnitudes, which do not obscure opposing contributions (C < 0 vs C > 0), and we scale each effect magnitudes relative to the sum of all effect magnitudes because this makes them directly comparable to elasticities (which are likewise scaled to sum to unity across all the potential effects). [lines 205-210].

Figure 3A – I find the figure very complicated to figure out. Are they the mean summed C values between populations? Then why and how is separated positive and negative C values? Or “composite” refers to the mean trajectories for HG, F, WC. But then, again, how does it lead to both (+) and (-) for a same trait (i.e., Infant survival). I am very sorry if I miss this information.

Fig 3A shows net results for contributions (summing to the difference between a population growth rate and that of the mean hunter-gatherer reference), vs. 3B showing the relative effect magnitudes (summing to unity to be comparable with elasticities – see the new Fig 4). These effect magnitudes are what we use to test for differences in means and to calculate the Z ratios (for P1).

In Fig 3A, the positive values are summed above the origin and the negative values summed below, illustrating opposing contributions that, on net, yield the difference in population growth rate (inset white bars). For instance, Infant survival is from age 0 to age 2 so there are two age-contributions (a21 for survival 0 to 1, a32 for survival 1 to 2) that may be opposite in sign. We make a note in the figure caption explaining why contributions for a given life cycle component (e.g. infant survival) can have opposing contributions above and below the origin (C = 0). [lines 370-373]

The “composite” populations in Fig. 3A are the synthetic populations with vital rates equal to the average over a given group (e.g. the LTRE reference life history with vital rates averaged across hunter-gatherers, HG). Fig. 3B legend now clarifies that effect magnitudes averaged across groups of individual populations (e.g. the 5 hunter-gatherer populations), rather than results for the mean life histories (e.g. the mean hunter-gatherer reference) [lines 377-380].

Fig 3A shows vital rate contributions that are summed across life history components (infant, child and adult survival; early, prime and late fertility), but the positive and negative components are summed and plotted separately (positive contributions above zero and negative contributions upside-down below zero). If individual vital rates within a single life history component may have different signs they will appear both above and below the zero line (e.g. infant survival is from age zero to age 2 and includes both newborn survival age 0 to 1 and survival age 1 to 2, so it may have both positive and negative contributions). In Fig 3B these opposing contributions are weighted equally in the combined magnitude so they sum to unity (100% of all effect magnitudes).

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Masami Fujiwara

28 Jan 2021

Human uniqueness? Life history diversity among small-scale societies and chimpanzees

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8 Feb 2021

PONE-D-20-26560R2

Human uniqueness? Life history diversity among small-scale societies and chimpanzees

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