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. 2023 Dec 13;18(12):e0295035. doi: 10.1371/journal.pone.0295035

Carbon opportunity cost increases carbon footprint advantage of grain-finished beef

Daniel Blaustein-Rejto 1,*, Nicole Soltis 2, Linus Blomqvist 1,3
Editor: Malik Muhammad Akhtar4
PMCID: PMC10718409  PMID: 38091302

Abstract

Beef production accounts for the largest share of global livestock greenhouse gas emissions and is an important target for climate mitigation efforts. Most life-cycle assessments comparing the carbon footprint of beef production systems have been limited to production emissions. None also consider potential carbon sequestration due to grazing and alternate uses of land used for production. We assess the carbon footprint of 100 beef production systems in 16 countries, including production emissions, soil carbon sequestration from grazing, and carbon opportunity cost—the potential carbon sequestration that could occur on land if it were not used for production. We conduct a pairwise comparison of pasture-finished operations in which cattle almost exclusively consume grasses and forage, and grain-finished operations in which cattle are first grazed and then fed a grain-based diet. We find that pasture-finished operations have 20% higher production emissions and 42% higher carbon footprint than grain-finished systems. We also find that more land-intensive operations generally have higher carbon footprints. Regression analysis indicates that a 10% increase in land-use intensity is associated with a 4.8% increase in production emissions, but a 9.0% increase in carbon footprint, including production emissions, soil carbon sequestration and carbon opportunity cost. The carbon opportunity cost of operations was, on average, 130% larger than production emissions. These results point to the importance of accounting for carbon opportunity cost in assessing the sustainability of beef production systems and developing climate mitigation strategies.

Introduction

Beef production accounts for about 6% of all anthropogenic greenhouse gas emissions [1]. Given rising demand in developing countries, reducing the greenhouse-gas (or carbon) footprint of production, measured as kilograms carbon dioxide-equivalent (CO2e) per kilogram of beef, is an important climate mitigation strategy [2, 3].

Whether beef is produced in pasture-finished or grain-finished systems affects its carbon footprint. In both pasture-finished and grain-finished systems, cattle are raised initially on pasture or rangeland. The primary difference lies in the finishing stage—in grain-finished systems, cattle are fed a grain-based diet and often kept in feedlots, whereas cattle in pasture-finished systems continue to eat fresh and stored grasses and hay until they reach slaughter weight [4]. The finishing stage therefore accounts for any potential difference in the carbon footprint of these systems. Pasture-finished systems are common in many parts of the world and account for approximately 33% of global beef production. Grain-finished systems account for 15%, and other systems, such as mixed crop-livestock production, account for the remainder [5].

Most life-cycle assessments of the carbon footprint of grain-finished and pasture-finished systems have been limited to emissions directly attributable to cradle-to-farmgate activities (here referred to as production emissions) [6]. Reviews and meta-analyses of these studies conclude that pasture-finished systems have higher average production emissions [4, 6, 7]. Grain finishing typically leads to much higher growth rates. As a result, proportionally less energy is expended on maintenance rather than growth, such that inputs and emissions per unit of beef is lower [8].

In addition to emissions associated with production, beef’s carbon footprint is also influenced by land use. Recent meta-analyses show that pasture-finished systems have higher land-use intensity (measured as area per unit production) on average, since the amount of pasture needed in the finishing stage of pasture-finished cattle is much larger than the amount of cropland needed to provide grain for the finishing stage of grain-finished cattle [4, 6].

Greater land requirements influence the carbon footprint in two ways. First, pasture and crop management can increase soil carbon sequestration [9, 10]. Use of improved grazing practices in some pasture-finished systems has sequestered enough carbon to offset production emissions from finishing [11]. Yet large soil carbon sequestration rates are only possible under particular agro-ecological conditions and for a limited time period [9, 12].

Second, greater land use for beef production can displace native ecosystems and reduce land available for restoration. The amount of CO2 that could be removed on land used for production through reforestation or other restoration has been referred to as the “carbon opportunity cost” [13].

Existing global comparisons of pasture-finished and grain-finished systems are incomplete as they do not account for both carbon opportunity cost and soil carbon sequestration. For instance, Poore and Nemecek (2018) [6], in a global meta-analysis of life-cycle assessments, do not account for potential soil carbon sequestration from production or the carbon opportunity cost of land use. The authors do account for emissions from land-use change, but only from recent changes in which total area for the crop or livestock product increased in the country of production. This approach, unlike the carbon opportunity cost approach, can result in zero carbon costs associated with many types of land use (see Searchinger et al. 2018 [14] Supplementary Discussion for a detailed treatment). Balmford et al. (2018) [15] estimate the relationship between the carbon footprint and land-use intensity of beef production including foregone carbon sequestration from land use—finding that there is a strong positive correlation—but their analysis is limited to Latin America and does not estimate soil carbon sequestration from grazing. Schmidinger and Stehfest (2012) [16], Searchinger et al. (2018) [14], and Hayek et al. (2020) [13] estimate the carbon opportunity cost of beef production at different geographic scales, but do not compare grain-finished and pasture-finished systems or estimate soil carbon sequestration from grazing.

Here, for the first time, we assess the sum of production emissions, soil carbon sequestration, and carbon opportunity cost–referred to here as the carbon footprint–of pasture-finished and grain-finished systems from across the world. We compare the carbon footprint of pasture-finished and grain-finished systems that exist in the same region and that have been studied using the same methodology. We also use regression analysis to assess the relationship between land-use intensity and carbon footprint, regardless of the system.

Beef production systems are changing rapidly across the world, and decisions about the future direction of this change will have important implications for climate mitigation as well as other environmental impacts. Accounting for the carbon footprint, including the carbon opportunity cost, as we do in this paper, should help guide these decisions.

Materials and methods

We calculate the carbon footprint (the sum of production emissions, soil carbon sequestration, and carbon opportunity costs in kilograms CO2e per kilogram of retail weight beef) of 100 beef production operations across 16 countries, including those from beef and dairy herds, drawn from a dataset of food and beverage life-cycle assessments [6] and from Stanley et al. (2018) [11]. Poore and Nemecek (2018) [6] includes production emissions and land-use intensity data. Stanley et al. (2018) [11] reports production emissions, carbon sequestration, emissions from soil erosion, and land-use intensity for the finishing stage of a pasture-finished and grain-finished operation in the Midwestern USA; we derive values from earlier stages from Pelletier et al. (2010) [17] which also studied operations in the Midwest. We conduct a pair-wise comparison of carbon footprints between pasture-finished and grain-finished beef production systems, and a regression analysis of the relationship between land-use intensity and carbon footprint.

Production emissions and land-use intensity

Production emissions represent cradle-to-farmgate life-cycle greenhouse gas emissions. This includes emissions associated with enteric fermentation, animal housing, manure management, and inputs associated with feed production such as fertilizers, pesticides, and machinery.

Land-use intensity represents land required for grazing and crop production, in hectare per kilogram of retail weight beef. Land use for pasture is calculated as the sum of temporary and permanent pasture, and land use for cropland is calculated as the sum of seed, arable and fallowed crop land. We use and standardize production emissions and land-use intensity values from Poore and Nemecek (2018) [6] and Stanley et al. (2018) [11].

Soil carbon sequestration

Soil carbon sequestration (SCS) in kg CO2 per kg of retail weight beef is calculated as the product of land-use intensity of grazing (LUI) and carbon sequestration due to grazing (CSG) in kg C ha-1 yr-1 (Eq 1).

SCS=LUICS44CO212C (1)

There is insufficient data to calculate a specific carbon sequestration rate for each life-cycle assessment location. This is in part because sequestration rates depend on environmental and management factors, such as soil texture and grazing intensity, not consistently described in the life-cycle assessments. Instead, for all life-cycle assessments we use the mean carbon sequestration rate of 0.28 Mg C ha-1 yr-1 for “improved grazing management” estimated in a synthesis of the grassland management literature [18]. This estimate, drawn from studies with an average soil depth of 23 cm, is within the range of peer reviewed estimates: 0.03 and 1.04 Mg C ha-1yr-1, with the lowest values corresponding to dry climates and the highest to specific grassland management practices and regions [19]. Our use of a single mean rate for diverse locations could lead to us overestimating the relationship between land use intensity and carbon footprint if actual sequestration rates on grazed land in the studies we include are greater than 0.28 Mg C ha-1 yr-1. However, given that not all the life-cycle assessments included are of operations with improved grazing practices, the true carbon sequestration rates across operations may be lower. To be conservative in our carbon footprint for grain-finished operations, we assume that no carbon sequestration occurs on cropland used for feed production, consistent with research that shows that CO2 emissions from agricultural land are generally balanced by removals [20].

Carbon opportunity cost

Our measure of carbon opportunity cost calculates how much carbon sequestration would have occurred had land been occupied with native ecosystems instead of pasture or cropland. This assumes that reducing land-use intensity results in proportionately less agricultural land area locally.

We calculate carbon opportunity cost (COC) as the sum of the carbon opportunity cost of pasture (p) and cropland (c) used in production. For each of these two land uses, the carbon opportunity cost is calculated as the product of land-use intensity (LUI) and potential carbon sequestration (PCS) of the land in the area where the life-cycle assessments was conducted, in kg C ha-1 yr-1 (Eqs 2 and 3).

COC=iLUIiPCSi44CO212Cfori=c,p (2)

where

PCSi=NPPikirsirfori=c,p (3)

NPPi denotes the potential net primary productivity of native vegetation (kg C ha-1 yr-1) that could be restored on agricultural land within a given radius of where the life-cycle assessment was conducted. We report results using a radius of 2 degrees (~223 km at equator). ki is the conversion factor from net primary productivity to carbon sequestration in vegetation and soils or, put differently, the average level of carbon sequestration generated by devoting one kilogram of NPP to restoring native vegetation. This value is 0.42 kg CO2 ha-1 yr-1 for every kg of NPP for cropland and 0.44 for pasture, as calculated by Searchinger et al. (2018) [14]. r denotes the time period over which carbon sequestration is averaged, in this case 100 years; and si denotes existing vegetation carbon stocks (kg C ha-1), 1100 for cropland and 3100 for pasture, based on global averages for cereals and pasture, respectively, from Searchinger et al. (2018) [14]. Although spatially explicit estimates of cropland carbon stocks exist [21], we are not aware of any for pasture carbon stocks.

The logic behind Eq 3 is as follows. The numerator represents the difference in potential carbon stocks between current land use and native vegetation. NPPiki is a flux measure, in kilograms of carbon per hectare per year, which we multiply by 100 to turn into a stock measure. In effect, this assumes that the equilibrium carbon stock in native ecosystem is reached after 100 years. The numerator, the difference in potential carbon stocks, is then divided by 100 to arrive at an annual (flux) rate. We select a time period of 100 years because this is roughly the age at which forest stands can be considered mature and the carbon stock becomes relatively stable, and the time period used in Searchinger et al. (2018) [14] and Schmidinger and Stehfest (2012) [16] to calculate average carbon sequestration rates in regenerating forests.

Data on potential net primary productivity under native vegetation is generated by the Lund–Potsdam–Jena managed Land (LPJmL) model, a dynamic global vegetation model that simulates vegetation composition, distribution, and carbon stocks and flows at 0.5x0.5° spatial resolution. We use LPJmL results from Searchinger et al. (2018) [14].

We assume life-cycle assessment sites located in climate categorized as “dry” in Poore & Nemecek (2018) [6] have zero potential carbon sequestration because they either cannot support substantial additional biomass or are native grasslands or savannas for which restoration does not typically involve reforestation [22].

Pairwise comparison between pasture-finished and grain-finished production systems

We compare the carbon footprint of 20 pairs of pasture-finished and grain-finished production systems, across 12 countries, in the Poore and Nemecek (2018) [6] database and one recent comparative life-cycle assessment [11] with and without soil carbon sequestration and carbon opportunity cost included. Systems were selected for inclusion if they were in the same subnational region or country, if the study was national in scope, and reported in the same study or within two studies by the same primary author. Details of the pairs are listed in S8 Table in S1 File. Fourteen of the pairs were reported for the same geographic region, but lacked coordinates. For those, we estimated carbon opportunity cost by calculating mean potential net primary productivity on cropland and grazing land within the subnational region or country the life-cycle assessment was located (Supplementary Methods in S1 File). We used a paired t-test to test if the mean difference between the pasture-finished and grain-finished system was significantly different from zero.

Regression analysis

We also assess the relationship between carbon footprint and land-use intensity using cross-section regression analysis of beef production operations. We include 72 operations from life-cycle assessments that report geographic coordinates, including a total of 24 studies in 12 countries (S1 Fig and S7 Table in S1 File). We log-transform the carbon footprint and land-use intensity because the input data is heavily right-skewed and because this enables us to present results as elasticities—the expected percent change in the carbon footprint with a percentage change in land-use intensity.

We run three different regressions, starting with production emissions as the only regressor, adding carbon opportunity cost in the second regression, and then also including soil carbon sequestration in the third regression. We use a linear model to facilitate comparison of the relationship across the regressions. Since there may be variables operating at the country level that influence the carbon footprint (e.g. climate, national policy), we use a multilevel model with country-level random effects, particularly varying intercepts and constant slopes [23]. This yields the following regression equation:

logcarbonfootprinti,j=β0+β1logLUIi,j+uj+ϵi,j (4)

where j indexes countries, i indexes operations within countries, β0 + uj is the intercept for each country, β1 represents the elasticity between land-use intensity and the carbon footprint, and ϵij is an error term.

We choose this specification over a fixed effect model as there is substantial variation in the independent variable within units (i.e. countries), the level of correlation between unit effects and the independent variable is not extremely high, and we are interested in accounting for the variability between units but not in estimating specific unit effects, in which case a random effects model can be appropriate to use and result in superior estimates [24]. Regressions with fixed effects produced results very similar to those with random effects (S5 Table in S1 File). Our analysis examines differences in carbon footprints across operations with different land-use intensity and does not attempt causal inference per se.

Robustness checks

We vary four parameters to assess the robustness of the results. First, we run the analysis with 0.25, 0.5, 1.0 and 4.0 degree radius. We do this to confirm our results cannot be explained by the choice of radius as NPP values can vary widely over a small area.

Second, we run the analysis with alternative calculations for carbon opportunity cost at the national and global levels. The national and global carbon opportunity costs assume that if the amount of land needed to support a given level of food production declines by one unit as a result of lower land-use intensity, then one unit of land will be restored to native vegetation somewhere in the country or world, respectively. These are relevant comparisons in cases where domestic and international trade allow land-use intensity reductions to be spatially disconnected from pasture and cropland expansion/contraction. We calculate national carbon opportunity cost using the average NPP values over all crop and pasture land across the country each production system is located in. This method could be improved by using crop-specific values; however, not all life-cycle assessments in our dataset describe which crops are used in production. We also calculate global carbon opportunity cost using average global net primary production values.

Third, we run the analysis using a carbon sequestration rate of 0.47 Mg C ha-1 yr-1, the average value reported across all studies of improved grassland management included in Conant et al. (2017) [18]. This reduces the carbon footprint of more land-intensive operations such as pasture-finished systems more than it reduces the carbon footprint of less land-intensive operations.

Fourth, we run the analysis with and without the potential carbon sequestration, and thus the carbon opportunity cost, set to 0 for operations in dry climates.

Results

In this study we calculated the carbon footprint of beef production systems as the sum of production emissions, carbon opportunity cost, and soil carbon sequestration, and assessed the relationship of this carbon footprint measure and land-use intensity. After presenting summary statistics, we show the results of the pair-wise comparison of the carbon footprints of pasture-finished and grain-finished beef production systems. We then present results from regression analysis of different measures of carbon footprints, with and without carbon opportunity cost and soil carbon sequestration, on land-use intensity.

The carbon footprint, including production emissions, carbon opportunity cost, and soil carbon sequestration, across the 72 beef production operations with reported latitude and longitude, and the 28 operations without latitude/longitude included in the pasture-finished/grain-finished comparison ranged from -68.3 to 2169.3 kg CO2e kg-1retail weight, with mean 177.37 and median 107.14 (Table 1). The wide range is due to the diversity in environmental and management conditions. The two operations with the largest carbon footprint values are pasture-finished with degraded or nominal pasture and low or no pasture management, and among the highest land use intensity values. Four pasture-finished and one grain-finished production systems in Queensland, Australia are estimated to have negative carbon footprints, in part because we assume that the dry climate results in zero carbon opportunity cost. If soil carbon sequestration rates are lower in dry climates than other climates, as some studies such as Smith et al. (2008) [20] suggest, these operations would be more likely to also have positive carbon footprints. The carbon footprint was similar in robustness checks, with the mean value ranging from 141.6 to 210.0 kg CO2e kg-1 retail weight when different radii are used and when we do not assume zero carbon opportunity cost for arid climates (S1 Table in S1 File).

Table 1. Summary statistics for beef operations.

Variable Mean Median Range SD CV 95% CI Units
Production emissions 52.64 41.42 4.9, 182 36.1 0.69 45.48, 59.8 kg CO2e kg-1
Soil carbon sequestration -15.11 -7.41 -164.8, 0 24.4 -1.62 -19.96, -10.26 kg CO2e kg-1
Carbon opportunity cost 139.85 68.46 0, 2243 266.0 1.9 87.1, 192.59 kg CO2e kg-1
Carbon footprint 177.37 107.14 -68.3, 2169.3 26.0 1.49 124.79, 229.96 kg CO2e kg-1
Land-use intensity 0.02 0.01 0, 0.2 0.02 1.27 0.01, 0.02 ha kg-1

All units are per kilogram retail weight. n = 100.

In individual systems, carbon opportunity cost was, on average, 130% larger than production emissions. Soil carbon sequestration offset 31.5% of production emissions and 18.9% of the production emissions and carbon opportunity cost, on average. Across all robustness checks, carbon opportunity cost is at least 65% larger than production emissions and soil carbon sequestration does not fully offset production emissions (S2 Table in S1 File).

Pairwise comparison between pasture-finished and grain-finished systems

The pairwise comparison found that pasture-finished systems had 20% higher mean production emissions than grain-finished systems on average (p<0.01). When also including soil carbon sequestration, the difference is not statistically significant at a 95% confidence level (p≥0.05). When the carbon opportunity cost is also accounted for, however, the carbon footprint of pasture-finished systems is on average 42% higher than that of grain-finished systems (p<0.01) (Fig 1). Compared to grain-finished systems, pasture-finished systems also had 15% higher median production emissions (p<0.01) and carbon footprints (p<0.05), indicating that while the magnitude of the difference is sensitive to extreme values, the general finding of higher emissions is robust (S3 Table in S1 File).

Fig 1. Average ratios of carbon footprints between pasture-finished and grain-finished.

Fig 1

Ratios expressed as percentage difference. PEM denotes production emissions, SCS denotes soil carbon sequestration, and COC denotes carbon opportunity cost. Values above (below) 0 denote the carbon footprint for pasture-finished operations is larger (smaller) than for grain-finished operations. Comparisons were made within paired production systems to control for agronomic and environmental differences. Bars show means and 95% confidence intervals. On average, carbon footprints for pasture-finished operations are significantly greater (p<0.01) than those of grain-finished operations when only production emissions are included and when production emissions, soil carbon sequestration and carbon opportunity cost are included. n = 20 pairs.

The carbon footprint of pasture-finished systems, including production emissions, soil carbon sequestration and carbon opportunity cost, is higher than that of the grain-finished systems (p<0.05) in the majority of robustness tests (S4 Table in S1 File). Differences are not significant (p≥0.05) in some cases when a smaller radius or higher rate of soil carbon sequestration is used.

Regression analysis

In the regression analysis, when only production emissions are regressed on land-use intensity, the coefficient is 0.48 (Fig 2A, Table 2). This can be interpreted as a 10% increase in land-use intensity being associated with a 4.8% increase in emissions. Less land-intensive systems typically have lower production emissions. Fig 2A shows the regression line with this slope, with the level adjusted by country. When adding in soil carbon sequestration, the coefficient is reduced to 0.32, indicating that soil carbon sequestration offsets a part of the production emissions (Table 2).

Fig 2. The relationship between land-use intensity and carbon footprint of beef production systems.

Fig 2

Results from a regression of log(carbon footprint) on log(land-use intensity) with country random effects. Dots indicate life-cycle assessment observations; colors indicate countries; and lines represent the slope of the regression that includes all countries, adjusted according to the levels of each country. A) Carbon footprint including only production emissions. n = 72. B) Carbon footprint including production emissions, soil carbon sequestration and carbon opportunity cost. n = 69.

Table 2. Results from log-log regressions.

Dependent variable:
PEM PEM+SCS PEM+SCS+COC
LUI 0.48*** 0.32*** 0.90***
(0.04) (0.08) (0.09)
Constant 5.90*** 4.84*** 8.70***
(0.27) (0.45) (0.52)
Observations 72 68 69
R2 0.67 0.27 0.63
Adjusted R2 0.66 0.25 0.63

Standard errors in parentheses. LUI = land-use intensity. PEM = production emissions. SCS = soil carbon sequestration. COC = carbon opportunity cost.

* p < 0.1,

** p < 0.05,

*** p < 0.01

However, the relationship between carbon footprint, including carbon opportunity cost, and land-use intensity is stronger, with a coefficient of 0.90 (Table 2, Fig 2B). Hence, a 10% increase in land-use intensity is associated with a 9.0% increase in the carbon footprint of beef production. This near-proportional relationship is in part due to the large share of the carbon footprint accounted for by carbon opportunity cost, which is proportional to land area in production.

Regressions with pooled and country fixed-effects specifications generate similar results (S5 Table in S1 File). Results are robust to other specifications and assumptions checked (S6 Table in S1 File).

Discussion

Our analysis is the first global comparison of the carbon footprint of grain-finished and pasture-finished beef production systems that includes production emissions as well as soil carbon sequestration and carbon opportunity cost. This yields significant new insights that can inform environmental and agricultural decision-making.

Our results indicate that pasture-finished and other more land-intensive beef production systems have greater production emissions than grain-finished and less land-intensive systems. When we calculate carbon footprints including production emissions, soil carbon sequestration, and carbon opportunity cost, all beef production systems have a higher carbon footprint than when only production emissions are included, but pasture-finished systems have a substantially larger carbon footprint than grain-finished systems, and there is a strong positive relationship between land use intensity and carbon footprint.

The differences in carbon footprint between pasture- and grain-finished operations are largely due to differences in carbon opportunity cost, which account for a large share of the total carbon footprint. The carbon opportunity cost of operations was, on average, 130% larger than production emissions. These results point to the importance of accounting for carbon opportunity cost in assessing the sustainability of beef production systems.

Our analysis also confirms that beef operations that have been studied in life-cycle assessments are generally not carbon neutral or negative. The mean carbon footprint across all studies, including production emissions, sequestration, and carbon opportunity cost, is over three times larger than the mean value for production emissions (Table 1). One exception is that we estimate negative carbon footprints for four grass-finished operations and one grain-finished operation that are in dry eco-climate zones in Australia, for which we assume there is zero carbon opportunity cost. This suggests that grazing cattle on dry rangeland with little to no carbon opportunity cost could have a small carbon footprint when the grazing also increases soil organic carbon, as has been observed in some studies of dry rangeland with finer textured soil [12].

Our comparison of pasture-finished and grain-finished systems builds upon and strengthens past findings. Our finding that production emissions are 20% higher on pasture-finished operations than on grain-finished operations is consistent with Clark and Tilman (2017) [4], which found average emissions were 19% higher though their estimate was not statistically significant. In our results, soil carbon sequestration from grazing offsets only a portion of production emissions. This finding is consistent with the conclusions of Garnett et al. (2017) [19], which estimated that soil carbon sequestration from grazing can offset 20–60% of annual emissions from ruminant grazing.

Our finding that land-use intensity and carbon footprint are positively correlated strengthens similar findings from previous studies, none of which included production emissions, soil carbon sequestration and carbon opportunity cost, which is a more comprehensive approach for assessing the carbon footprint of land use than conventional land-use change approaches [14]. Poore and Nemecek (2018) [6] found that beef and lamb systems with lower land-use intensity have a lower carbon footprint when considering emissions from land-use change, but not carbon opportunity cost. Balmford et al. (2018) [15] used generalized linear mixed models to analyze the relationship between land-use intensity and carbon footprint, including a measure of carbon opportunity cost based on IPCC (2006) methods. Their analysis, limited to Brazil and tropical Mexico, also found that the carbon opportunity cost of agriculture was typically greater than production emissions, and that incorporating opportunity costs generated strongly positive associations between carbon footprint and land-use intensity. Searchinger et al. (2018) [14] calculated global-average carbon opportunity costs for beef similar to the average calculated for all operations included in this study. Their estimates of 165.3 and 143.9 kg CO2e kg-1 carcass weight were based on the potential carbon that could be gained or lost, respectively, on land used for production. The authors applied the values to five production systems in Brazil and found, consistent with our results, that systems with the lowest land-use intensity had the greatest carbon benefits.

Our study has several limitations although we do not believe these substantially alter our conclusions. The pairwise comparison of grain-finished and pasture-finished operations has a relatively small sample of 20 pairs. This means that assumptions of asymptotic normality, which are the basis for the paired t-test, may not hold. However, our robustness checks (S4 Table in S1 File) and nonparametric test of the median (S3 Table in S1 File), which is robust to small sample sizes, extreme outliers, and heavy-tailed distributions, reinforce the conclusion that pasture-finished operations have greater production emissions and carbon footprints than grain-finished operations. In addition, our results cannot be considered to be globally representative or representative of all operations. The life-cycle assessments that underlie our study were not conducted to be globally representative. For instance, we include one study from Asia (Indonesia) and none from Africa. Nevertheless, given the consistent positive relationship between land use intensity and carbon footprint across operations in multiple geographies, we expect a similar relationship would be observed in other regions except in dry eco-climate zones where grazing can have little carbon opportunity cost.

In our study, we also assume that a change in land-use intensity results in a proportionate change in land under production and thus the land area with native ecosystems. While this has the advantage of simplicity, it is unlikely to be exactly true in reality, as a result of economic mechanisms. The real effect may be more or less than proportional depending, in part, on how differences in land-use intensity and carbon footprint are associated with total factor productivity. For instance, an operation shifting from grain-finished to pasture-finished may lower total factor productivity. This would increase prices and lead to a reduction in overall demand, while at the same time making that operation less profitable and thus induce producers elsewhere to produce more. The reduction in demand would reduce land use and the spillover of production would increase land use, with an ambiguous net impact.

It is also challenging to predict where a change in farmland area and native vegetation will take place as a result of changes in land-use intensity and production system in a given location. We calculate three measures of carbon opportunity cost: local, national, and global. These roughly correspond to different levels of market connectedness, which will differ between locations. For example, changes in US production can have large effects on global markets, whereas changes in less globally connected regions such as sub-Saharan Africa will likely see mostly local or national effects [25]. Furthermore, for those producers connected to global markets, effects of changes in production are not likely to be evenly distributed across the world, but are likely to be concentrated in those regions that are more globally integrated [25]. In the last few decades, much of the expansion of pasture has taken place in tropical countries like Brazil [26]. Following this logic, it is possible that higher land-use intensity in the US as a result of shifting to pasture-finished systems would displace production to these places, and is thus more likely to displace highly carbon-rich tropical ecosystems.

In addition, we use several simplifying assumptions. We use global mean estimates of soil carbon sequestration and current carbon stocks in cropland and grazing land vegetation due to lack of spatially-explicit data with global coverage. Our assumed rate is drawn from estimates for improved grazing management, so as to lessen the risk of overestimating the carbon footprint of grass-finished systems. Our measures of carbon opportunity cost are also based on mean potential carbon sequestration values in grazing land and cropland, if restored to native vegetation. They do not account for livestock diet rations, which crops are used for feed, or crop yields for instance. This may contribute to us underestimating potential carbon sequestration and carbon opportunity costs if feed crops such as soy are grown in areas with higher potential carbon sequestration, such as former forest, than other crops.

Future research could build upon our analysis by integrating more spatially explicit estimates of soil carbon sequestration and carbon stocks and calculating carbon opportunity cost based on how different cropland and grazing land is used in beef production. It could also incorporate additional types of environmental impacts and resource use, such as water use or eutrophication potential, which are important in assessing the overall sustainability of production systems. Future research could also analyze the relationship between land use intensity and different greenhouse gases and incorporate different approaches to calculating their warming (e.g. GWP100, GWP20, GWP*) since each has a different atmospheric lifetime and effect on warming. Further types of beef and other livestock operations, such as pork or milk, could also be studied with similar methods.

Overall, this study provides a novel assessment of the carbon footprint of beef operations, building upon life-cycle assessments of production emissions to also include carbon sequestration and carbon opportunity cost. Our conclusion that beef operations with low land-use intensity, including grain-finished operations, have lower carbon footprints than pasture-finished operations and others with high land-use intensity provides important insights for agricultural stakeholders globally such as in Brazil where pasture expansion is a leading driver of forest loss [27]. Accounting for products’ carbon opportunity cost, not just production emissions or soil carbon sequestration, could shift which production systems government programs, corporate procurement, investors, and consumers incentivize.

Supporting information

S1 File. Supplementary methods, figures and tables.

(DOCX)

Acknowledgments

The authors would like to thank Kenton de Kirby, Ken Cassman, and Joseph Poore for valuable comments on the draft manuscript.

Data Availability

All relevant data are within the paper and its Supporting information files.

Funding Statement

The authors received no specific funding for this work.

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Decision Letter 0

Juan Carlos Suárez Salazar

14 Sep 2022

PONE-D-22-23019Carbon opportunity cost increases carbon footprint advantage of grain-finished beefPLOS ONE

Dear Dr. Blaustein-Rejto,

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.

Please submit your revised manuscript by Oct 29 2022 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'.

  • A marked-up copy of your manuscript that highlights changes made to the original version. You should upload this as a separate file labeled 'Revised Manuscript with Track Changes'.

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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.

Kind regards,

Juan Carlos Suárez Salazar

Academic Editor

PLOS ONE

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Additional Editor Comments :

In general, the manuscript presents an adequate structure with some typographical errors. It is necessary that you can add additional information and explain more extensively some techniques of statistical analysis which has been requested by the reviewers, this will strengthen the manuscript.

[Note: HTML markup is below. Please do not edit.]

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Yes

Reviewer #2: Partly

Reviewer #3: Yes

**********

2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

Reviewer #2: No

Reviewer #3: Yes

**********

3. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

Reviewer #2: No

Reviewer #3: Yes

**********

4. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

**********

5. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: 1. Check the title.

40-43. Cite this part.

47-49. Cite this part.

89-94. These results should not be there.

130, 154, 157. Is it possible to reference the equations?

281 & 312. Please place figure title below the Fig.

320. Please include all the definitions below the table. The table must be self explanatory.

Figure S1. There are no white circles, and the map has no color

Recommendation: you may consider placing different types of dots on figure 2. This can help colorblind (daltonic) people with their understanding.

Reviewer #2: The paper conducts a pairwise comparison of pasture-finished operations and grain-finished operations. Also, the authors show that land-use intensity and carbon footprint are positively correlated. Thus, the paper concerns a fundamental and interesting research problem.

However, I have some recommendations for the authors:

1. Materials and methods.

a. Pairwise comparison: How did you collect the data? Table S8 shows information about 20 studies included in the pairwise comparison; how were the studies selected? It is necessary to add this information.

b. Regression analysis: How many observations did you use? Are the units 72 operations or 24 studies? Is it a cross-section regression, or is it panel data? (In this case, which are the individuals, and which is the time?) Where are the results of the Hausman test? Is it possible to use the Hausman test in a cross-section model? It is important to explain which model was estimated and what type of data was used.

2. Results and discussion

a. Pairwise comparison: This section describes the main findings from the t-test, but it seems that the numbers in table S3 are different from the text. Why didn’t you compare the findings from the nonparametric test with the t-test? If your data was collected from studies, why didn’t you use meta-analysis inside the t-test? I suggest explaining how the studies were selected and considering making a meta-analysis.

b. Regression analysis. Were the assumptions of the model validated? Are the same results if the authors add other variables (control)? Are the number of observations enough to estimate this kind of model?

Reviewer #3: This paper presents a rather complete comparison of the carbon footprint of grain-finished and pasture-finished beef production Systems, taking into account production emissions, soil carbon sequestration and carbon opportunity cost. The study use global information from 16 countries and several model to estimate emissions are considered. It is generally well written, with very few typing errors. The statistical methods used are correct and the authors took into account assumptions that make them valid. I recommend publishing it once a few minor corrections have been done.

Minor corrections:

Line 36. Replace “ kg” by “ kilograms”

Lines 76-76 and 80. Replace “et al” by “et al.”

Line 107 . Replace “ kg” by “ kilograms”

Line 109 111 113 Replace “et al” by “et al.”

Line 117 Replace “&” by “and”

Line 121 Replace “ kg” by “ kilograms” and eliminate “(ha)”. Universal acronyms like “ha” should not be defined

Line 125 Replace “et al” by “et al.”

Line 135 Replace “0.28 Mg carbon (C) ha-1 yr-1 “ by “0.28 Mg C ha-1 yr-1 “

Line 156 Replace “Where” by “where”

Line 162 Replace “one kg” by “one kilogram” or by “1 kg”

Lines 164 and 167 Replace “et al” by “et al.”

Line 172 Replace “ kg” by “ kilograms”

In lines 70, 76, 80 and 81 among others you write the author’s name, year, and the number of citation between brackets, but in several lines like 176, 189, 239, 259 (and more) the number in brackets is absent.

Line 176 Replace “et al” by “et al.”

Line 206 “where” without capital letter

Line 237 Replace “MgC” by “Mg C”

Line 239 Replace “et al” by “et al.”

Line 254 and 261. Replace “kg CO2e/kg” by “kg CO2e kg-1”

Line 259 Replace “et al” by “et al.”

Line 264 Table 1. Eliminate the dot at the end of table title

Line 265 Replace “ kg” by “ kilograms”

Line 320 Table 2. explain what the numbers in parentheses are

Line 353 Replace “et al” by “et al.”

Line 362 Replace “et al” by “et al.”

Line 482-483 Replace Agricultural Systems by the abbreviation Agric. Syst.

Table S4: Replace “kgCO2e kg-1” by “kg CO2e kg-1”

**********

6. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #1: Yes: Vinicio Barquero

Reviewer #2: No

Reviewer #3: No

**********

[NOTE: If reviewer comments were submitted as an attachment file, they will be attached to this email and accessible via the submission site. Please log into your account, locate the manuscript record, and check for the action link "View Attachments". If this link does not appear, there are no attachment files.]

While revising your submission, please upload your figure files to the Preflight Analysis and Conversion Engine (PACE) digital diagnostic tool, https://pacev2.apexcovantage.com/. PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Registration is free. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email PLOS at figures@plos.org. Please note that Supporting Information files do not need this step.

PLoS One. 2023 Dec 13;18(12):e0295035. doi: 10.1371/journal.pone.0295035.r002

Author response to Decision Letter 0


14 Mar 2023

Reviewer 1: We have incorporated all your suggestions into the revision. They were very helpful.

Reviewer 2: We have incorporated your suggestions into the revision. They were very helpful and we have included detailed responses and additional information in the response to reviewers document.

Review 3: Thank you for your suggested corrections. We have incorporated all of them into the revision.

Attachment

Submitted filename: reviewer_response_clean.docx

Decision Letter 1

Malik Muhammad Akhtar

15 May 2023

PONE-D-22-23019R1Carbon opportunity cost increases carbon footprint advantage of grain-finished beefPLOS ONE

Dear Dr. Blaustein-Rejto,

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.

Please submit your revised manuscript by Jun 29 2023 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'.

  • A marked-up copy of your manuscript that highlights changes made to the original version. You should upload this as a separate file labeled 'Revised Manuscript with Track Changes'.

  • 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: https://journals.plos.org/plosone/s/submission-guidelines#loc-laboratory-protocols. Additionally, PLOS ONE offers an option for publishing peer-reviewed Lab Protocol articles, which describe protocols hosted on protocols.io. Read more information on sharing protocols at https://plos.org/protocols?utm_medium=editorial-email&utm_source=authorletters&utm_campaign=protocols.

We look forward to receiving your revised manuscript.

Kind regards,

Malik Muhammad Akhtar, PhD, Postdoc

Academic Editor

PLOS ONE

Review Comments to the Author

Reviewer #1

Check the title.

40-43. Cite this part.

47-49. Cite this part.

89-94. These results should not be there.

130, 154, 157. Is it possible to reference the equations?

281 & 312. Please place figure title below the Fig.

320. Please include all the definitions below the table. The table must be self explanatory.

Figure S1. There are no white circles, and the map has no color

Recommendation: you may consider placing different types of dots on figure 2. This can help colorblind (daltonic) people with their understanding.

Reviewer #2

The paper conducts a pairwise comparison of pasture-finished operations and grain-finished operations. Also, the authors show that land-use intensity and carbon footprint are positively correlated. Thus, the paper concerns a fundamental and interesting research problem.

However, I have some recommendations for the authors:

1. Materials and methods.

a. Pairwise comparison: How did you collect the data? Table S8 shows information about 20 studies included in the pairwise comparison; how were the studies selected? It is necessary to add this information.

b. Regression analysis: How many observations did you use? Are the units 72 operations or 24 studies? Is it a cross-section regression, or is it panel data? (In this case, which are the individuals, and which is the time?) Where are the results of the Hausman test? Is it possible to use the Hausman test in a cross-section model? It is important to explain which model was estimated and what type of data was used.

2. Results and discussion

a. Pairwise comparison: This section describes the main findings from the t-test, but it seems that the numbers in table S3 are different from the text. Why didn’t you compare the findings from the nonparametric test with the t-test? If your data was collected from studies, why didn’t you use meta-analysis inside the t-test? I suggest explaining how the studies were selected and considering making a meta-analysis.

b. Regression analysis. Were the assumptions of the model validated? Are the same results if the authors add other variables (control)? Are the number of observations enough to estimate this kind of model?

Reviewer #3

This paper presents a rather complete comparison of the carbon footprint of grain-finished and pasture-finished beef production Systems, taking into account production emissions, soil carbon sequestration and carbon opportunity cost. The study use global information from 16 countries and several model to estimate emissions are considered. It is generally well written, with very few typing errors. The statistical methods used are correct and the authors took into account assumptions that make them valid. I recommend publishing it once a few minor corrections have been done.

Minor corrections:

Line 36. Replace “ kg” by “ kilograms”

Lines 76-76 and 80. Replace “et al” by “et al.”

Line 107 . Replace “ kg” by “ kilograms”

Line 109 111 113 Replace “et al” by “et al.”

Line 117 Repace “&” by “and”

Line 121 Replace “ kg” by “ kilograms” and eliminate “(ha)”. Universal acronyms like “ha” should not be defined

Line 125 Replace “et al” by “et al.”

Line 135 Replace “0.28 Mg carbon (C) ha-1 yr-1 “ by “0.28 Mg C ha-1 yr-1 “

Line 156 Replace “Where” by “where”

Line 162 Replace “one kg” by “one kilogram” or by “1 kg”

Lines 164 and 167 Replace “et al” by “et al.”

Line 172 Replace “ kg” by “ kilograms”

In lines 70, 76, 80 and 81 among others you write the author’s name, year, and the number of citation between brackets, but in several lines like 176, 189, 239, 259 (and more) the number in brackets is absent.

Line 176 Replace “et al” by “et al.”

Line 206 “where” without capital letter

Line 237 Replace “MgC” by “Mg C”

Line 239 Replace “et al” by “et al.”

Line 254 and 261. Replace “kg CO2e/kg” by “kg CO2e kg-1”

Line 259 Replace “et al” by “et al.”

Line 264 Table 1. Eliminate the dot at the end of table title

Line 265 Replace “ kg” by “ kilograms”

Line 320 Table 2. explain what the numbers in parentheses are

Line 353 Replace “et al” by “et al.”

Line 362 Replace “et al” by “et al.”

Line 482-483 Replace Agricultural Systems by the abbreviation Agric. Syst.

Table S4: Replace “kgCO2e kg-1” by “kg CO2e kg-1”

[Note: HTML markup is below. Please do not edit.]

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #1: All comments have been addressed

Reviewer #2: All comments have been addressed

**********

2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Yes

Reviewer #2: Yes

**********

3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

Reviewer #2: Yes

**********

4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

Reviewer #2: Yes

**********

5. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

Reviewer #2: Yes

**********

6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: I have reviewed the paper and I am satisfied with the changes made, please replace the figure to avoid copyright issues.

Reviewer #2: Thank you for your efforts to improve the quality of a paper that shows that land-use intensity and carbon footprint are positively correlated. The authors attended to my suggestions, so I feel this manuscript is now acceptable for publication.

**********

7. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #1: Yes: Vinicio Barquero

Reviewer #2: No

**********

[NOTE: If reviewer comments were submitted as an attachment file, they will be attached to this email and accessible via the submission site. Please log into your account, locate the manuscript record, and check for the action link "View Attachments". If this link does not appear, there are no attachment files.]

While revising your submission, please upload your figure files to the Preflight Analysis and Conversion Engine (PACE) digital diagnostic tool, https://pacev2.apexcovantage.com/. PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Registration is free. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email PLOS at figures@plos.org. Please note that Supporting Information files do not need this step.

PLoS One. 2023 Dec 13;18(12):e0295035. doi: 10.1371/journal.pone.0295035.r004

Author response to Decision Letter 1


6 Jun 2023

As suggested by PLOS ONE editorial staff, we have addressed the reviewer comments regarding S1 Fig in the Supplementary Information by ensuring it follows journal guidelines. We confirmed that the basemap of the figure is in the public domain. It therefore meets PLOS ONE’s licenses and copyright policy for figures. A statement from Natural Earth providing proof that the material is in the public domain is attached as “other file” and can be viewed on their website here: https://www.naturalearthdata.com/about/terms-of-use/.

As there were no additional reviewer comments, the manuscript, supplementary information, and figures have not been modified. Since the PLOS ONE Editorial Manager requires authors to attach a revised manuscript with and without track changes, we have attached the same manuscript and supplementary information files as we did when originally responding to reviewer comments. We apologize for any confusion this causes.

Decision Letter 2

Malik Muhammad Akhtar

24 Aug 2023

PONE-D-22-23019R2Carbon opportunity cost increases carbon footprint advantage of grain-finished beefPLOS ONE

Dear Dr. Daniel Blaustein-Rejto,

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.

Please submit your revised manuscript by Oct 08 2023 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:

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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.

Kind regards,

Malik Muhammad Akhtar, PhD, Postdoc

Academic Editor

PLOS ONE

Journal Requirements:

Please review your reference list to ensure that it is complete and correct. If you have cited papers that have been retracted, please include the rationale for doing so in the manuscript text, or remove these references and replace them with relevant current references. Any changes to the reference list should be mentioned in the rebuttal letter that accompanies your revised manuscript. If you need to cite a retracted article, indicate the article’s retracted status in the References list and also include a citation and full reference for the retraction notice.

[Note: HTML markup is below. Please do not edit.]

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #4: (No Response)

Reviewer #5: All comments have been addressed

Reviewer #6: All comments have been addressed

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2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #4: Yes

Reviewer #5: Yes

Reviewer #6: Yes

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3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #4: Yes

Reviewer #5: Yes

Reviewer #6: Yes

**********

4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #4: Yes

Reviewer #5: Yes

Reviewer #6: Yes

**********

5. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #4: Yes

Reviewer #5: Yes

Reviewer #6: Yes

**********

6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #4: Dear Authors,

The manuscript is extremely interesting and brings a great discussion to the world stage. Some suggestions and adaptations, before final acceptance.

Reviewer #5: Acceptable as revised Acceptable as revised Acceptable as revised Acceptable as revised Acceptable as revised Acceptable as revised Acceptable as revised Acceptable as revised Acceptable as revised Acceptable as revised Acceptable as revised

Reviewer #6: I was not participating in the previous rounds of review, so I am not familiar with all discussions done so far. I apologise to the authors if some of the points below were raised before.

The paper presents and comprehensive analysis by incorporating not only production emissions but also soil carbon sequestration and carbon opportunity cost, providing a more holistic view of beef production's environmental impact.

The calculation of soil carbon sequestration (SCS) based on the mean carbon sequestration rate of 0.28 Mg C ha-1 yr-1 raises some questions. Given the considerable variation in sequestration rates due to different environmental and management factors, the paper could discuss potential implications of using a single mean rate for diverse locations. Additionally, the choice of a 100-year time frame for carbon sequestration should be justified, particularly in relation to the potential differences in sequestration rates over shorter and longer periods.

The range of total carbon footprints is wide, as indicated by the reported values ranging from -68.3 to 2169.3 kg CO2e kg-1 retail weight. While this variability highlights the diversity of beef production systems, it would be valuable to provide context and discuss potential reasons for such extreme values. Addressing potential outliers or anomalies that might significantly influence the results would enhance the credibility of the overall analysis.

While the discussion is comprehensive, some areas could benefit from further elaboration. These include the contributions of the additional components (soil carbon sequestration, carbon opportunity cost) to the overall assessment of sustainability and potential trade-offs within the components.

The paper acknowledges limitations in global representativeness due to the dataset's scope. To enhance the discussion, a more detailed exploration of how the findings might apply or differ in diverse regional contexts could be valuable. While the authors discuss limitations, further exploration of the implications of these limitations for policy and decision-making, particularly in scenarios where assumptions do not hold, could strengthen the discussion.

A question to the authors is what would happen in your analysis with countries that already have a very high carbon content in the soil (such as New Zealand due to the young soils from volcanic formation). There is limited opportunity to New Zealand to increase its soils carbon content. This is very different from countries like the USA that completed depleted soils due to crop production and are now claiming an “increase in soil carbon” due to pasture/regenerative practices. Can the USA (that depleted their soils before) get credits for soil carbon sequestration and New Zealand (that kept its soil with a high carbon content) don’t get credits? Is that a fair analysis?

Your” carbon footprint” definition does not match a Life Cycle Assessment (LCA) definition. You should be careful because readers thar don’t have an LCA background will think it does. You can’t say it is a “total” carbon footprint because soil carbon sequestration and carbon opportunity cost are included. For example, you are missing carbon sequestration from tress on beef and sheep farms – so is you carbon footprint “full”? I think it is not. You have an LCA with sensitivity analysis considering SOIL (only) carbon sequestration and carbon opportunity costs.

A better LCA term for you analysis around “land use intensity” is land occupation.

What is “retail weight beef”? Keep it simple and say it is per kg of beef. Your analysis is up to the farm-gate – you (or the authors you cite) converted the data from live weight to beef?

There is no discussion about the footprint breakdown. Grain-finished operations have a significant part of their footprint represented by carbon dioxide (a long lived GHG) due to the production of the grain. Pasture-based operation have most of its footprint represented by methane (a short-lived GHG). The authors do not address this difference in their analysis – as demonstrated by many papers published recently around the GP* metric, the emissions of methane do not corelate directly with warming if emissions are kept constant over the period of 20 years – i.e., there is no extra warming added to the atmosphere in this situation. This contrasts with the carbon dioxide that will warm the atmosphere for millennia. So this is an important difference between grain-finished and pasture finished systems that is not addressed in this paper and may affect the final results.

The authors also do not consider that, if the demand for meat stays the same, we would need to increase production in other areas -what is the full impact? Does the carbon opportunity costs are overweighed by the increase in meat production in other areas that might be less efficient (so there is a “carbon leakage”)?

**********

7. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #4: No

Reviewer #5: No

Reviewer #6: No

**********

[NOTE: If reviewer comments were submitted as an attachment file, they will be attached to this email and accessible via the submission site. Please log into your account, locate the manuscript record, and check for the action link "View Attachments". If this link does not appear, there are no attachment files.]

While revising your submission, please upload your figure files to the Preflight Analysis and Conversion Engine (PACE) digital diagnostic tool, https://pacev2.apexcovantage.com/. PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Registration is free. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email PLOS at figures@plos.org. Please note that Supporting Information files do not need this step.

Attachment

Submitted filename: PONE-D-22-23019_R2_reviewer.pdf

Attachment

Submitted filename: Comments.docx

PLoS One. 2023 Dec 13;18(12):e0295035. doi: 10.1371/journal.pone.0295035.r006

Author response to Decision Letter 2


19 Oct 2023

Thank you. We greatly appreciate your careful review and suggestions. We have revised the manuscript to address the points raised. We have detailed the changes and our response to each reviewer comment in the Response to Reviewers file.

Please note that only superficial edits were made to the supporting/supplementary information: removing the term "total" from "total carbon footprint" in one table, and making the style of table titles consistent.

Decision Letter 3

Malik Muhammad Akhtar

15 Nov 2023

Carbon opportunity cost increases carbon footprint advantage of grain-finished beef

PONE-D-22-23019R3

Dear Dr. Daniel Blaustein-Rejto,

We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.

Within one week, you’ll receive an e-mail detailing the required amendments. When these have been addressed, you’ll receive a formal acceptance letter and your manuscript will be scheduled for publication.

An invoice for payment will follow shortly after the formal acceptance. To ensure an efficient process, please log into Editorial Manager at http://www.editorialmanager.com/pone/, click the 'Update My Information' link at the top of the page, and double check that your user information is up-to-date. If you have any billing related questions, please contact our Author Billing department directly at authorbilling@plos.org.

If your institution or institutions have a press office, please notify them about your upcoming paper to help maximize its impact. If they’ll be preparing press materials, please inform our press team as soon as possible -- no later than 48 hours after receiving the formal acceptance. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information, please contact onepress@plos.org.

Kind regards,

Malik Muhammad Akhtar, PhD, Postdoc

Academic Editor

PLOS ONE

Additional Editor Comments (optional):

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #4: All comments have been addressed

Reviewer #5: All comments have been addressed

**********

2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #4: Yes

Reviewer #5: Yes

**********

3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #4: Yes

Reviewer #5: Yes

**********

4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #4: Yes

Reviewer #5: Yes

**********

5. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #4: Yes

Reviewer #5: Yes

**********

6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #4: Dear Authors,

All corrections, questions and considerations were duly answered. I congratulate you on accepting the manuscript.

Reviewer #5: revision ok .

**********

7. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #4: No

Reviewer #5: No

**********

Acceptance letter

Malik Muhammad Akhtar

20 Nov 2023

PONE-D-22-23019R3

Carbon opportunity cost increases carbon footprint advantage of grain-finished beef

Dear Dr. Blaustein-Rejto:

I'm pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now with our production department.

If your institution or institutions have a press office, please let them know about your upcoming paper now to help maximize its impact. If they'll be preparing press materials, please inform our press team within the next 48 hours. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information please contact onepress@plos.org.

If we can help with anything else, please email us at customercare@plos.org.

Thank you for submitting your work to PLOS ONE and supporting open access.

Kind regards,

PLOS ONE Editorial Office Staff

on behalf of

Professor Malik Muhammad Akhtar

Academic Editor

PLOS ONE

Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 File. Supplementary methods, figures and tables.

    (DOCX)

    Attachment

    Submitted filename: reviewer_response_clean.docx

    Attachment

    Submitted filename: PONE-D-22-23019_R2_reviewer.pdf

    Attachment

    Submitted filename: Comments.docx

    Data Availability Statement

    All relevant data are within the paper and its Supporting information files.


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