Abstract
Wild pollinators are declining and the number of managed honey bee colonies is growing slower than agricultural demands for pollination. Because of these contrasting trends in pollinator demand and availability, breeding programs for many pollinator-dependent crops have focused on reducing the need for pollinators. Although numerous crop varieties are now available in the market with the label of pollinator-independent, the real dependence of these varieties on pollinators is mostly unknown. We evaluated the hypothesis of pollinator independence in the Independence almond variety, the fastest growing variety in California that is the main almond production region in the world. In this presumed pollinator-independent variety, we measured the effect of honey bees on fruit set, yield, and kernel nutritional quality at tree level. Fruit set was 60% higher in bee-pollinated than bee-isolated trees, which translated into a 20% increase in kernel yield. Despite its effect on almond production, there was no evidence that bee visitation affected almond nutritional quality. Based on these results, we recommend the use of bees, whether they are wild or managed, to maximize yield even in self-fertile almond varieties.
Subject terms: Plant domestication, Agroecology
Introduction
Dependence on animal pollination is increasing in global agriculture1. In 2005, the total estimated value of pollination worldwide was about $172 billion and accounted for nearly 10% of the world’s agricultural crop production consumed by humans2. However, this percentage is increasing year after year as the area cultivated with pollinator-dependent crops is continuously expanding3. Unfortunately, wild pollinators are declining whereas managed honey bees are growing slower than agricultural demands for pollination4,5. Because of these uneven trends in pollinator demand and availability, breeding programs for many pollinator-dependent crops are targeted to reducing the need of biotic transfer of pollen for ovule fertilization, and thus for seed and fruit production. Many varieties of several typically pollinator-dependent crops are now available in the market with the label of “self-fertile” and sold as pollinator-independent. However, the extent to which these varieties depend on pollinators for either yield quantity or quality under field conditions is unknown.
Almond (Prunus dulcis) production in California, USA, clearly illustrates this trend. California produces more than 80% of world’s almonds, and the area devoted to this crop is continuously growing6,7. For decades, almond varieties cultivated in California have been self-incompatible and growers have relied almost exclusively on managed honey bees (Apis mellifera) for pollen transfer and effective pollination8,9. Because of almond’s high pollinator-dependence and high-market value, more than a million honey bee colonies are moved to California from all over the U.S. every season, representing the largest man-driven pollination event in the world10,11. However, the number of honey bee colonies has been dwindling in the U.S. over the last decades12. Although new evidence is showing that the number of colonies has stabilized during the last years13, beekeepers are still dealing with several health problems affecting honey bees. These health problems can be related in part to long-distance colony movement, which facilitates the spread of pathogens14. In parallel, the almond-cultivated area has expanded and demands for almond pollination services have increased6,10,11. Because of these opposing trends, the average rental rate for single honey bee colony has increased from ~$70 in 1995 to an average of ~$180 in 201810,15. After accounting for inflation, costs of renting colonies are now ~60% higher than two decades ago7,10,15.
Under this scenario, the self-fertile almond variety named Independence (IndependenceR (Alm-21 cv.) Patent no. 20295) was developed, becoming increasingly popular among Californian growers16. This was meant to be a massive breakthrough for almond industry, because this new variety was advertised as bee-independent due to self-fertility and its presumed high capacity for autonomous self-pollination7,17,18. Thus, cultivation of this variety would, in principle, benefit growers by removing the costs of renting bee colonies, among other advantages. In fact, the area cultivated with self-fertile Independence increased exponentially since its release in 200816. However, despite claims of bee-independence, there is an information gap on the real pollinator dependence of this fast-growing almond variety.
Given the profound impact that replacements of self-incompatible by self-compatible crop varieties can exert on production, food quality and beekeeping financial well-being, an accurate evaluation of pollinator dependence on much promoted bee-independent varieties appears as a straightforward priority. Here, we measured the effect of bees on fruit set, kernel yield, and kernel nutritional quality on the “self-fertile” Independence almond variety. If this variety were fully self-fertile and capable of autonomous self-pollination, we should observe a similar fruit set, and kernel yield and quality in trees visited as in those not visited by bees.
Thirty almond trees of the Independence variety were used in our experiment. Ten trees were entirely covered with a fine mesh normally used by growers to isolate citrus trees from bees (henceforth “isolation treatment”). Another ten trees were partially covered with a mesh above, without interfering with bee visitation to flowers but to control for possible effects of irradiation and frost (henceforth “control treatment”). The remaining ten trees were kept open to bees (henceforth “open treatment”; see Fig. 1 and Supplementary Information S1). Honey bee colonies were placed at a stocking rate of five colonies/ha surrounding the experimental study fields, which is a standard stocking rate for self-incompatible varieties19.
During flowering, we quantified visitation rate of bees to flowers in open and control trees. We recorded only flower visitors that contacted anthers and/or stigma. After flowering, we quantified initial and final fruit set (i.e., proportion of flowers setting a fruit) in all thirty trees. Finally, during harvest, we quantified almond yield (i.e., the entire kernel production at tree level) and nutritional quality. Because the main components in almond used to value its nutritional quality are fats, and particularly the proportion of oleic to linoleic fatty acids, here we analyzed the oleic to linoleic fatty acid ratio of dry kernels (see M&M).
Results
Flower visitation
Managed honey bees accounted for all flower visits to the self-compatible Independence almond variety. We did not find evidence that bee visitation differed between open-pollinated and mesh-control trees (in log scale, β = −0.29, SE = 0.31, Z = −0.92, P = 0.35), with an observed mean (±SE) of 0.05 ± 0.010 and 0.04 ± 0.008 visits · flower−1 · 5 min−1, respectively. Taking into account that almond flowers remain open for about 4–6 days and were visited during ~5 h each day, this visitation rate represents approx. 12–18 visits during a flower’s lifespan.
Initial and final fruit set
Bee visitation had a positive effect on the likelihood of a flower setting a fruit. Initial fruit set (about three weeks after the end of flowering) was ~90% higher in bee-pollinated than bee-isolated trees (in logit scale, β = 1.70, SE = 0.17, Z = 9.65, P < 0.001; and β = 1.62, SE = 0.17, Z = 9.23, P < 0.001; for comparisons between the isolation and open, and isolation and control treatments, respectively). Also, initial fruit set did not differ significantly between open-pollinated and mesh-control trees (in logit scale, β = −0.08, SE = 0.18, Z = −0.44, P = 0.89). Initial fruit set in isolated trees was, on average (±SE), 0.42 ± 0.02 fruits/flower, and in open-pollinated and mesh-control trees was 0.79 ± 0.01 and 0.78 ± 0.01 fruits/flower, respectively (Fig. 2, gray points). Final fruit set (i.e., before harvesting) was ~60% higher in bee-pollinated than bee-isolated trees (in logit scale, β = 0.63, SE = 0.18, Z = 3.37, P = 0.002; and β = 0.75, SE = 0.18, Z = 4.03, P < 0.001; for comparisons between the isolation and open, and isolation and control treatments, respectively). Also, final fruit set of open-pollinated and mesh-control trees was not statistically different (in logit scale, β = 0.12, SE = 0.18, Z = 0.66, P = 0.78). Final fruit set in isolated trees was, on average (±SE), 0.19 ± 0.01 fruits/flowers, and in open-pollinated and mesh-control trees was 0.30 ± 0.02 and 0.33 ± 0.02 fruits/flower, respectively (Fig. 2, white points). Even though many fruits abort early on during development, increases in fruit set in bee-pollinated trees persist until fruit maturity.
Kernel yield
Increases in fruit set translated into increases in kernel yield in bee-pollinated trees. Kernel yield (i.e., estimated as total fruit mass produced per tree times the proportion of the fruit weight represented by the kernel; see Supplementary Information S3) was ~20% higher in bee-pollinated than bee-isolated trees (β = 1.04, SE = 0.39, t = 2.65, P = 0.01; and β = 0.82, SE = 0.33, t = 2.45, P = 0.02; for comparisons between the isolation and open, and isolation and control treatments, respectively). Mean (±SE) kernel yield in isolated trees was 4.49 ± 0.18 kg · tree−1, whereas kernel yield in open-pollinated and mesh-control trees was 5.53 ± 0.39 and 5.31 ± 0.33 kg · tree−1, respectively (Fig. 3), with no statistical differences between these two latter treatments (β = 0.003, SE = 0.006, t = 0.63, P = 0.802).
Almond nutritional quality
Despite effects on almond quantity, there was no evidence that bee visitation affected almond quality. Specifically, mean (±SE) ratio of oleic to linoleic acid in kernels from isolated trees was 2.63 ± 0.04, a similar ratio to that found in kernels from trees pollinated by bees (β = −0.11, SE = 0.06, t = −1.87, P = 0.16; and β = −0.05, SE = 0.06, t = −0.89, P = 0.64; for comparisons between the isolation and open, and isolation and control treatments, respectively). Mean (±SE) ratio of oleic to linoleic acid in kernels from open-pollinated and mesh-control trees was 2.52 ± 0.06 and 2.58 ± 0.06, respectively, with no statistical differences between these two treatments (β = 0.05, SE = 0.06, t = 0.92, P = 0.62). Therefore, whereas bee pollination affected almond seed quantity, it did not seem to affect seed quality.
Discussion
Self-fertile almond varieties are becoming increasingly popular among growers and, consequently, their cultivated area is increasing at a high rate16. However, studies estimating true pollinator dependence in tree crops are still scarce. This may relate to the complexity of conducting this estimation at the level of entire trees, like we did here. Most studies assessing pollinator dependence in multi-flowered plants compare fruit or seed set between isolated and open-pollinated individual flowers or inflorescences, which can lead to overestimation of pollinator dependence due to the possibility of resource translocation20. Here, we evaluated the hypothesis of pollinator independence in the Independence almond variety, which is the fastest growing variety in California, in turn, the most important almond production area globally16. When bee visitation to Independence trees was curtailed, trees did in fact produce many fruits. Nevertheless, honey bee visits to almond flowers of this variety increased yield substantially. This result implies that growers will be experiencing lower crop yields if bees are not present in areas where this variety is cultivated, and thus, the hypothesis of complete pollinator independence should be rejected.
Until recently, all almond cultivars were self-incompatible, characterized by a gametophytic system controlled by a S-locus21. For this reason, almond orchards include a mix of different interfertile varieties, honey bees being a required input to ensure cross pollination. Approximately, 80% of the U.S. honey bee colonies have been used for almond pollination in California during 201822. In turn, pollination services for the almond industry represent one third of the U.S. beekeeping incomes, and many beekeepers rely to a great extent on the almond pollination market for profit23. As a consequence, almond growers and beekeepers have developed a strong inter-dependency.
Given the potential economic benefits for almond growers resulting from the disruption of their partnership with beekeepers, autonomous self-pollination and self-fertility have been priority target traits in almond breeding programs, traits which not only avoid costs of renting colonies but also facilitate management though the cultivation of monovarietal plantations18,24–26. Although most of the new varieties decreased dependency from bees, they did not seem to achieve total pollinator independence. They did, however, allow growers to decrease stocking rates of managed honey bee colonies per cultivated area and to overcome production costs involved in inter-varietal mixing23. The Independence variety was expected to achieve the ultimate goal of not requiring bee visitation for maximizing yield and income, and was advertised accordingly17,18. However, here we provide evidence that this variety could be truly self-fertile but not totally pollinator independent, probably because of incomplete autonomous self-pollination.
The impact of misleading information on the true pollinator dependency of the Independence variety could be detrimental for almond growers and beekeepers in terms of potential profits, labor losses, and social conflicts. First, misinformation on decreased honey bee usage could lead to a reduction in profits for almond growers, because non-bee visited trees will translate into yields lower than maximum potential. After considering kernel yield per tree, the differential price related to kernel class size and colony renting costs (see Supplementary Information S4), bee pollination still translated into differences of about 20% and 10% in gross and net profit (i.e., without and with consideration of renting colonies), respectively. These economic benefits were observed in young trees (i.e., below their yield potential), and thus, the benefits could be even higher in full production plantations. Therefore, bee pollination affected positively the yield and economic profit in this self-fertile almond variety. Second, if Independence continues growing and replacing self-incompatible varieties, many beekeepers may lose one of their key annual incomes, threatening their financial well-being. This could lead, eventually, to the loss of one the most important incentives for maintaining beekeeping industry in the U.S. and the narrowing of a work source for beekeepers. Third, honey bees from colonies rented by neighboring growers would visit Independence plantations, which will dilute bee density in fields cultivated with the self-incompatible almond varieties. This could represent an advantage for Independence almond growers, because the presence of these honey bees will increase their yields at no cost. At the same time, this could cause yield drops for those growers that actually paid for the pollination service. This scenario could generate social conflicts between neighboring growers, particularly being aware of the casual benefits received by their neighbors.
One critical question regarding crop varieties is their nutritional quality. Brittain et al.27 showed that self-pollinated almond trees produce almonds with lower nutritional quality, in terms of their fat composition, than those produced by cross pollination. However, we did not detect a sizable effect of bee pollination on almond nutritional quality in this study. Differences in results could be attributed to the variety studied, because Brittan et al.27 worked with Nonpareil, the most commonly planted self-incompatible variety in the U.S., and we did it with self-compatible Independence. In terms of fat composition quality, oleic to linoleic ratio estimated in the present work for Independence was, on average, 2.5, which is within the ranges (i.e., 1.79–3.79) estimated for all the varieties cultivated in California28. Therefore, any effect of bees on production in this self-compatible crop variety seems to occur through increases in yield quantity rather than in nutritional quality.
Concerns about the decline of wild pollinators, increasing cost of colonies, and stability in food production caused the introduction of self-compatibility and self-pollination traits as key factors in many plant breeding programs5,24–26. Although nowadays there are many varieties available in the market with the “self-fertile” and “pollinator independent” labels, the real dependence on pollinators was not rigorously estimated in most cases. Misleading information from nursery companies on pollinator dependency levels can trigger cascading effects among growers and beekeepers like we describe above. Under this context, reliable and precise information is crucial for profit maximization and socio-economic stability. Breeding programs are clearly reducing pollination dependence for ensuring food production, but bees are still needed for full fertilization. Based on our results and their implications, we highly recommend to almond growers the use of bees, whether they are wild or managed, to maximize yields, even in self-fertile almond varieties.
Materials and Methods
Experimental site
The experiment was carried out from February to August 2018. The site was located in Kings County (36° 21.698′ N, 119° 42.263′ W) California, USA. We selected young almond trees for this experiment, because kernel quantity and quality of whole trees can be measured, and accumulated resources are limited in smaller trees29,30, which make any test on pollinator dependence more conservative. Two 20-ha plots planted with 50–50% of Nonpareil - Independence tree varieties were used to perform the experiment. Sampled trees were approximately 4-m tall and had been harvested twice before this study. Honey bee colonies were placed at a stocking rate of five colonies/ha surrounding the experimental study site and were part of the commercial pollination management system used by the grower.
Experimental design
To evaluate honey bee effects on fruit set, and kernel yield quantity and quality at tree level, we randomly selected 30 experimental almond trees of Independence variety on two plots (i.e., 15 trees per plot). To each tree, we assigned one of the following treatments: (i) isolation (i.e., trees were isolated from bees by covering them with a fine mesh 10% Crystal, Green-tek, Sultana, California 93666), (ii) open (i.e., trees were kept open to bees), and (iii) control (i.e., trees covered with mesh above and along a fringe on the sides, without interfering with bee visitation, to control for effects of the net on attenuating irradiation and frost) (see Fig. 1 in main text and Supplementary Information S1). Each treatment (isolation, open, control) was replicated in 10 trees. Treatments were set in “blocks”, consisting of a group of three neighboring trees, each one randomly assigned one the three different pollination treatments (see Fig. 1 and Supplementary Information S1). In the isolation and control treatments, trees were mesh-covered before blooming started and the mesh immediately removed after bloom was over.
Data collection and analysis
Bee visitation
In open-pollinated and mesh-control trees, we performed 43 pollinator censuses, respectively. The censuses consisted in recording the number of flowers visited by each visiting pollinator to a group of flowers for a period of 5 min (i.e., no. visits · flower−1 · 5 min−1), totaling ~7 h of observation. Whenever possible, censuses of open and control trees were made simultaneously. The number of observed flowers per census was, on average (±SE), 52 ± 2.54. Each census conducted on each tree, involved a different randomly selected group of flowers. Each tree was surveyed between 11:00 and 17:00. During pollinator censuses, we recorded only flower visitors that contacted anthers and/or stigma. Furthermore, the enclosure of the isolated trees was checked throughout the flowering period to certify the absence of bees.
We evaluated the effect of pollination treatment (open and control) on visitation frequency to flowers with a generalized linear mixed-effects model. Data analysis was carried out using the lmer function from the lme4 package31 of the R software32. Because response variables were counts (i.e., visits), we used a Poisson error distribution with a log link function. We included number of flowers observed in each census as an offset (i.e. a fixed predictor known in advance to influence insect visitation)33. The pollination treatment was included in the model as fixed effect and each tree nested within a block as a random effect, allowing the intercept to vary among blocks/trees.
Fruit set
We tagged five branches in each experimental tree (totaling 150 experimental branches) in which we counted the number of open flowers between the tag and the end of the branch. After bloom, we counted the number of developing fruits to estimate initial fruit set (i.e. fruits/flower ratio). Considering that during “June drop” trees lose many fruits, we made a second measurement of fruits retained by trees right before harvest to estimate final fruit set.
We evaluated the effects of the pollination treatment (i.e., isolation, open, and control) on the initial and final probability of a flower setting a fruit with a generalized linear mixed-effects model. Data analysis was carried out using the lmer function from the lme4 package31 of the R software32. Because the response variable is binary (i.e., a flower setting or not a fruit), the model assumed a binomial error distribution with a logit link function. Pollination treatment was considered as a fixed effect and each tree nested within a block as a random effect.
Fruit weight and yield
At fruit maturity, all fallen fruits were collected, after shaking the trees, and sun-dried for 5 days. From each tree, we randomly sampled 70 fruits, totaling 2100 fruits (i.e., 70 fruits/ tree × 10 trees/ treatment × 3 treatments). From each individual fruit, we weighed pericarp, endocarp, and kernel (see Supplementary Information S3). Then, we weighed the entire fruit production of each experimental tree with a hand digital scale. To estimate kernel production for each tree, we multiplied total fruit weight times the average proportion of a fruit’s weight represented by the kernel (see Supplementary Information S3).
We used an ANOVA model to estimate the effect of pollination treatment (isolation, open, and control) on kernel production at tree level. Data analysis was carried out using the gls function from the R software32. Because our data did not comply with the assumption of homogeneous variance, we re-ran the analysis using a heterogeneous variance model with the varIdent function, which increased model fit (lower AIC) and provided compliance with model assumptions. We made multiple comparison of means with Tukey post-hoc test using the glht function from the multcomp package34.
Kernel nutritional quality
We randomly collected ~50 fruits from each tree to estimate kernel nutritional quality. Samples were stored in paper bags and kept at room temperature until laboratory analyses. Fats are the main nutritional component in almond28. In particular, clinical studies have shown benefits to human health of mono-unsaturated fats present in almonds35. Here we described and analyzed almond’s fatty acid portion. In particular, we estimated the oleic to linoleic acid ratio, which is the most common measure to determine almond nutritional quality27. Details of analytical methods employed for estimations of fatty acid composition are provided in the Supplementary Information S2.
We estimated effects of the pollination treatment (isolation, open, and control) on almond’s oleic and linoleic acid content, and oleic to linoleic ratio at tree level by means of an ANOVA model. Data analysis was carried out using the lm function from the R software32. We made multiple comparison of means with Tukey post-hoc tests using the glht function from the multcomp package34.
Supplementary information
Acknowledgements
We thank growers John and Leonard Baker for giving us the opportunity to work in their plantations, Rafa (experienced beekeeper) for letting us work with his honey bees, Milagros Graziani and Cristian Mayer from Beeflow for field assistance, and the team of Fares Taie laboratory for their contribution during the fatty acids’ analyses. This project was supported by Beeflow Inc., CONICET and CONICET - Beeflow S.A. agreements (PR 4024, DVT # 0095 and DI-2019-104-APN-GVT). A.S., M.A.A., S.M. and P.N. are researchers from CONICET.
Author contributions
A.S. and P.N. conceived and designed the experiments; A.S. and P.N. performed field work and collected the data; P.N. and S.M. carried out laboratory analysis; A.S. performed data analysis; A.S., P.N., M.A., E.V., M.V. and S.M. wrote the paper. A.S. and P.N. contributed equally to this manuscript.
Data availability
The datasets generated for this study are available on request to the corresponding author.
Competing interests
The authors declare no competing interests.
Footnotes
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary information
is available for this paper at 10.1038/s41598-020-59995-0.
References
- 1.Aizen, M. A. et al. Global agricultural productivity is threatened by increasing pollinator dependence without a parallel increase in crop diversification. Glob. Chang. Biol. (2019). [DOI] [PMC free article] [PubMed]
- 2.Gallai N, Salles J-M, Settele J, Vaissière BE. Economic valuation of the vulnerability of world agriculture confronted with pollinator decline. Ecol. Econ. 2009;68:810–821. doi: 10.1016/j.ecolecon.2008.06.014. [DOI] [Google Scholar]
- 3.Aizen MA, Garibaldi LA, Cunningham SA, Klein AM. Long-term global trends in crop yield and production reveal no current pollination shortage but increasing pollinator dependency. Curr. Biol. 2008;18:1572–1575. doi: 10.1016/j.cub.2008.08.066. [DOI] [PubMed] [Google Scholar]
- 4.Aizen MA, Harder LD. The global stock of domesticated honey bees is growing slower than agricultural demand for pollination. Curr. Biol. 2009;19:915–918. doi: 10.1016/j.cub.2009.03.071. [DOI] [PubMed] [Google Scholar]
- 5.Potts SG, et al. Global pollinator declines: Trends, impacts and drivers. Trends Ecol. Evol. 2010;25:345–353. doi: 10.1016/j.tree.2010.01.007. [DOI] [PubMed] [Google Scholar]
- 6.USDA. California Almond Forecast. (2019).
- 7.Traynor J. A history of almond pollination in California. Bee World. 2017;94:69–79. doi: 10.1080/0005772X.2017.1353273. [DOI] [Google Scholar]
- 8.Morse RA, Calderone NW. The value of honey bees as pollinators of US crops in 2000. Bee Cult. 2000;128:1–15. [Google Scholar]
- 9.USDA. California almond objective measurement report. (2019).
- 10.Goodrich BK. Do more bees imply higher fees? Honey bee colony strength as a determinant of almond pollination fees. Food Policy. 2019;83:150–160. doi: 10.1016/j.foodpol.2018.12.008. [DOI] [Google Scholar]
- 11.Goodrich BK, Williams JC, Goodhue RE. The great bee migration: supply analysis of honey bee colony shipments into California for almond pollination Services. Am. J. Agric. Econ. 2019;101:1353–1372. doi: 10.1093/ajae/aaz046. [DOI] [Google Scholar]
- 12.Ellis JD, Evans JD, Pettis J. Colony losses, managed colony population decline, and Colony Collapse Disorder in the United States. J. Apic. Res. 2010;49:134–136. doi: 10.3896/IBRA.1.49.1.30. [DOI] [Google Scholar]
- 13.Ferrier, P. M., Rucker, R. R., Thurman, W. N. & Burgett, M. Economic effects and responses to changes in honey bee health. 10.22004/ag.econ.276245 (2018).
- 14.Zhu X, Zhou S, Huang ZY. Transportation and pollination service increase abundance and prevalence of Nosema ceranae in honey bees (Apis mellifera) J. Apic. Res. 2014;53:469–471. doi: 10.3896/IBRA.1.53.4.06. [DOI] [Google Scholar]
- 15.USDA. U.S. Pollination-service market. (2014).
- 16.CDFA. California almond acreage report. (2019).
- 17.Flore, A. Self-pollinating almonds key to bountiful harvest. Agricultural Research - USDA. (2010).
- 18.Mercer, D., Onulak, J. & Fagan, J. M. Alternative pollination methods for California almond trees in response to colony collapse disorder. (2014).
- 19.Connell JH, Index AD, Prunus W, California SU, Webb MDA. Pollination of almonds: practices and problems. Horttechnology. 2000;10:116–119. doi: 10.21273/HORTTECH.10.1.116. [DOI] [Google Scholar]
- 20.Knight TM, Steets JA, Ashman T. A quantitative synthesis of pollen supplementation experiments highlights the contribution of resource reallocation to estimates of pollen limitation. Am. J. Bot. 2006;93:271–277. doi: 10.3732/ajb.93.2.271. [DOI] [PubMed] [Google Scholar]
- 21.Ushijima K, et al. Structural and transcriptional analysis of the self-incompatibility locus of almond: identification of a pollen-expressed F-box gene with haplotype-specific polymorphism. Plant Cell. 2003;15:771–781. doi: 10.1105/tpc.009290. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 22.USDA. Honey bee colonies. (2018).
- 23.Lee H, Sumner DA, Champetier A. Pollination markets and the coupled futures of almonds and honey bees: simulating impacts of shifts in demands and costs. Am. J. Agric. Econ. 2018;101:230–249. doi: 10.1093/ajae/aay063. [DOI] [Google Scholar]
- 24.Ortega E, Martínez-García PJ, Dicenta F. Influence of self-pollination in fruit quality of autogamous almonds. Sci. Hortic. 2006;109:293–296. doi: 10.1016/j.scienta.2006.04.016. [DOI] [Google Scholar]
- 25.Dicenta F, Ortega E, Canovas JA, Egea J. Self‐pollination vs. cross‐pollination in almond: pollen tube growth, fruit set and fruit characteristics. Plant Breed. 2002;121:163–167. doi: 10.1046/j.1439-0523.2002.00689.x. [DOI] [Google Scholar]
- 26.Godini A, de Palma L, Palasciano M. Role of self-pollination and reciprocal stigma/anthers position on fruit set of eight self-compatible almonds. HortScience. 1992;27:887–889. doi: 10.21273/HORTSCI.27.8.887. [DOI] [Google Scholar]
- 27.Brittain C, Kremen C, Garber A, Klein A-M. Pollination and plant resources change the nutritional quality of almonds for human health. PLoS One. 2014;9:e90082. doi: 10.1371/journal.pone.0090082. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 28.Sathe SK, Seeram NP, Kshirsagar HH, Heber D, Lapsley KA. Fatty acid composition of California grown almonds. J. Food Sci. 2008;73:C607–C614. doi: 10.1111/j.1750-3841.2008.00936.x. [DOI] [PubMed] [Google Scholar]
- 29.Morgan KT, Obreza TA, Wheaton TA. Size, biomass, and nitrogen relationships with sweet orange tree growth. J. Am. Soc. Hortic. Sci. 2006;131:149–156. doi: 10.21273/JASHS.131.1.149. [DOI] [Google Scholar]
- 30.Klein A, Hendrix SD, Clough Y, Scofield A, Kremen C. Interacting effects of pollination, water and nutrients on fruit tree performance. Plant Biol. 2014;17:201–208. doi: 10.1111/plb.12180. [DOI] [PubMed] [Google Scholar]
- 31.Bates, D., Mächler, M., Bolker, B. & Walker, S. Fitting linear mixed-effects models using lme4. arXiv Prepr. arXiv1406.5823 (2014).
- 32.Cran.R-Project.org. R Software - v3.4.4.
- 33.Jennifer, G. A. H. Data analysis using regression and multilevel/hierarchical models. Cambridge University Press (2006).
- 34.Hothorn T, Bretz F, Westfall P. Simultaneous inference in general parametric models. Biometrical J. 2008;50:346–363. doi: 10.1002/bimj.200810425. [DOI] [PubMed] [Google Scholar]
- 35.Mozaffari-khosravi H, Parsaeyan N. Effects of almond dietary supplementation on coronary heart disease lipid risk factors and serum lipid oxidation parameters in men with mild hyperlipidemia. J. Altern. Complement. Med. 2010;16:1279–1283. doi: 10.1089/acm.2009.0693. [DOI] [PubMed] [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.
Supplementary Materials
Data Availability Statement
The datasets generated for this study are available on request to the corresponding author.