An evolutionary quantitative genetics model for phenotypic (co)variances under limited dispersal, with an application to socially synergistic traits.
Division of labor
G-matrix evolution
evolutionary branching
island model
social evolution
Journal
Evolution; international journal of organic evolution
ISSN: 1558-5646
Titre abrégé: Evolution
Pays: United States
ID NLM: 0373224
Informations de publication
Date de publication:
09 2019
09 2019
Historique:
received:
16
08
2018
accepted:
03
06
2019
pubmed:
22
7
2019
medline:
19
8
2020
entrez:
21
7
2019
Statut:
ppublish
Résumé
Darwinian evolution consists of the gradual transformation of heritable traits due to natural selection and the input of random variation by mutation. Here, we use a quantitative genetics approach to investigate the coevolution of multiple quantitative traits under selection, mutation, and limited dispersal. We track the dynamics of trait means and of variance-covariances between traits that experience frequency-dependent selection. Assuming a multivariate-normal trait distribution, we recover classical dynamics of quantitative genetics, as well as stability and evolutionary branching conditions of invasion analyses, except that due to limited dispersal, selection depends on indirect fitness effects and relatedness. In particular, correlational selection that associates different traits within-individuals depends on the fitness effects of such associations between-individuals. We find that these kin selection effects can be as relevant as pleiotropy for the evolution of correlation between traits. We illustrate this with an example of the coevolution of two social traits whose association within-individuals is costly but synergistically beneficial between-individuals. As dispersal becomes limited and relatedness increases, associations between-traits between-individuals become increasingly targeted by correlational selection. Consequently, the trait distribution goes from being bimodal with a negative correlation under panmixia to unimodal with a positive correlation under limited dispersal.
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Pagination
1695-1728Subventions
Organisme : Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
ID : PP00P3-123344
Pays : International
Informations de copyright
© 2019 The Author(s). Evolution © 2019 The Society for the Study of Evolution.
Références
Abrams, P. A. 2001. Modelling the adaptive dynamics of traits involved in inter- and intraspecific interactions: an assessment of three methods. Ecol. Lett. 4:166-175.
Abrams, P. A., Y. Harada, and H. Matsuda. 1993a. On the relationship between quantitative genetic and ESS models. Evolution. 47:982-985.
Abrams, P. A., H. Matsuda, and Y. Harada. 1993b. Evolutionarily unstable fitness maxima and stable fitness minima of continuous traits. Evol. Ecol. 7:465-487.
Adriaenssens, B., and J. I. Johnsson. 2012. Natural selection, plasticity and the emergence of a behavioural syndrome in the wild. Ecol. Lett. 16:47-55.
Ajar, É. 2003. Analysis of disruptive selection in subdivided populations. BMC Evol. Biol. 3:22.
Akçay, Ç., S. E. Campbell, and M. D. Beecher. 2015. The fitness consequences of honesty: under-signalers have a survival advantage in song sparrows. Evolution. 69:3186-3193.
Arnold, S. J., R. Bürger, P. A. Hohenlohe, B. C. Ajie, and A. G. Jones. 2008. Understanding the evolution and stability of the G-matrix. Evolution. 62:2451-2461.
Bell, A. M., and A. Sih. 2007. Exposure to predation generates personality in threespined sticklebacks (Gasterosteus aculeatus). Ecol. Lett. 10:828-834.
Bergmüller, R., and M. Taborsky. 2007. Adaptive behavioural syndromes due to strategic niche specialization. BMC Ecol. 7:12-17.
Bhatia, R. 2015. Positive definite matrices. Princeton Univ. Press, Princeton, NJ.
Björklund, M., and L. Gustafsson. 2015. The stability of the G-matrix: the role of spatial heterogeneity. Evolution. 69:1953-1958.
Blows, M. W. 2007. A tale of two matrices: multivariate approaches in evolutionary biology. J. Evol. Biol. 20:1-8.
Blows, M. W., and R. Brooks. 2003. Measuring nonlinear selection. Am. Nat. 162:815-820.
Boehm, C. 2002. Cooperative hunting roles among Tai chimpanzees. Hum. Nat. 13:27-46.
Bohonak, A. J. 1999. Dispersal, gene flow, and population structure. Q. Rev. Biol. 74:21-45.
Bolnick, D. I., P. Amarasekare, M. S. Araújo, R. Bürger, J. M. Levine, M. Novak, V. H. W. Rudolf, S. J. Schreiber, M. C. Urban, and D. A. Vasseur. 2011. Why intraspecific trait variation matters in community ecology. Trends Ecol. Evol. 26:183-192.
Brodie, E. D., A. J. Moore, and F. J. Janzen. 1995. Visualizing and quantifying natural selection. Trends Ecol. Evol. 10:313-318.
Brown, S. P., and P. D. Taylor. 2010. Joint evolution of multiple social traits: a kin selection analysis. Proc. R. Soc. B. 277:415-422.
Bürger, R. 1986. On the maintenance of genetic variation: global analysis of kimura's continuum-of-alleles model. J. Math. Biol. 24:341-351.
Canestrelli, D., R. Bisconti, and C. Carere. 2016. Bolder takes all? The behavioral dimension of biogeography. Trends Ecol. Evol. 31:35-43.
Carter, A. J., S. English, and T. H. Clutton-Brock. 2014. Cooperative personalities and social niche specialization in female meerkats. J. Evol. Biol. 27:815-825.
Champagnat, N., R. Ferrière, and S. Méléard. 2006. Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models. Theor. Popul. Biol. 69:297-321.
Champagnat, N., and A. Lambert. 2007. Evolution of discrete populations and the canonical diffusion of adaptive dynamics. Ann. Appl. Probab. 17:102-155.
Charlesworth, B. 1990. Optimization models, quantitative genetics, and mutation. Evolution. 44:520-538.
Charlesworth, B. 1994. Evolution in age-structured populations. 2nd ed. Cambridge Univ. Press, Cambridge, U.K.
Charlesworth, B., and D. Charlesworth. 2010. Elements of evolutionary genetics. Roberts and Company Publishers, Englewood, CO.
Chaturvedi, A., D. Croll, M. C. Fischer, F. Guillaume, S. Karrenberg, B. Kerr, G. Rolshausen, and J. Stapley. 2017. Can evolution supply what ecology demands? Trends Ecol. Evol. 32:187-197.
Chesson, P. L. 1981. Models for spatially distributed populations: the effect of within-patch variability. Theor. Popul. Biol. 19:288-325.
Chesson, P. L. 1984. Persistence of a markovian population in a patchy environment. Z. Wahrscheinlichkeitstheor. 66:97-107.
Cheverud, J. M. 1985. A quantitative genetic model of altruistic selection. Behav. Ecol. Sociobiol. 16:239-243.
Christiansen, F. B. 1991. On conditions for evolutionary stability for a continuously varying character. Am. Nat. 138:37-50.
Clutton-Brock, T. H., A. F. Russell, and L. L. Sharpe. 2003. Meerkat helpers do not specialize in particular activities. Animal Behav. 66:531-540.
Connallon, T. 2015. The geography of sex-specific selection, local adaptation, and sexual dimorphism. Evolution. 69:2333-2344.
Cordero, O. X., and M. F. Polz. 2014. Explaining microbial genomic diversity in light of evolutionary ecology. Nat. Rev. Micro. 12:263-273.
Daley, D. J., and D. Vere-Jones. 2003. An introduction to the theory of point processes, vol. ii of probability and its applications. Springer, New York, NY.
Dall, S. R. X., A. I. Houston, and J. M. McNamara. 2004. The behavioural ecology of personality: consistent individual differences from an adaptive perspective. Ecol. Lett. 7:734-739.
Day, T. 2001. Population structure inhibits evolutionary diversification under competition for resources. Genetica. 112-113:71-86.
Day, T., and S. R. Proulx. 2004. A general theory for the evolutionary dynamics of virulence. Am. Nat. 163:E40-E63.
Day, T., and P. D. Taylor. 1996. Evolutionarily stable versus fitness maximizing life histories under frequency-dependent selections. Proc. R. Soc. Lond., B, Biol. Sci. 263:333-338.
Débarre, F., S. L. Nuismer, and M. Doebeli. 2014. Multidimensional (co)evolutionary stability. Am. Nat. 184:158-171.
Débarre, F., and S. P. Otto. 2016. Evolutionary dynamics of a quantitative trait in a finite asexual population. Theor. Popul. Biol. 108:75-88.
Dercole, F., and S. Rinaldi. 2008. Analysis of evolutionary processes: The adaptive dynamics approach and its applications. Princeton Univ. Press, Princeton, NJ.
Dieckmann, U., and R. Law. 1996. The dynamical theory of coevolution: a derivation from stochastic ecological processes. J. Math. Biol. 34:579-612.
Dingemanse, N. J., N. A. Dochtermann, and S. Nakagawa. 2012. Defining behavioural syndromes and the role of 'syndrome deviation' in understanding their evolution. Behav. Ecol. Sociobiol. 66:1543-1548.
D'Souza, G. D., and C. Kost. 2016. Experimental evolution of metabolic dependency in bacteria. PLoS Genet. 12:e1006364.
Edelaar, P., and D. I. Bolnick. 2012. Non-random gene flow: an underappreciated force in evolution and ecology. Trends Ecol. Evol. 27:659-665.
Eshel, I. 1983. Evolutionary and continuous stability. J. Theor. Biol. 103:99-111.
Eshel, I., and M. W. Feldman. 1984. Initial increase of new mutants and some continuity properties of ESS in two-locus systems. Am. Nat. 124:631.
Eshel, I., and U. Motro. 1981. Kin selection and strong evolutionary stability of mutual help. Theor. Popul. Biol. 19:420-433.
Eshel, I., U. Motro, and E. Sansone. 1997. Continuous stability and evolutionary convergence. J. Theor. Biol. 185:333-343.
Estrela, S., E. Libby, J. Van Cleve, F. Débarre, M. Deforet, W. R. Harcombe, J. Peña, S. P. Brown, and M. E. Hochberg. 2019. Environmentally mediated social dilemmas. Trends Ecol. Evol. 34:6-18.
Fehr, E., and S. Gächter. 2000. Cooperation and punishment in public goods experiments. Am. Econ. Rev. 90:980-994.
Fleming, W. H. 1979. Equilibrium distributions of continuous polygenic. SIAM J. Appl. Math. 36:148-168.
Frank, S. A. 1997. The Price equation, Fisher's fundamental theorem, kin selection, and causal analysis. Evolution. 51:1712-1729.
Frank, S. A. 1998. Foundations of social evolution. Princeton Univ. Press, Princeton, NJ.
Gandon, S. 1999. Kin competition, the cost of inbreeding and the evolution of dispersal. J. Theor. Biol. 200:345-364.
Gardner, A., and S. A. West. 2004. Cooperation and punishment, especially in humans. Am. Nat. 164:753-764.
Geritz, S. A. H., É. Kisdi, G. Meszéna, and J. A. J. Metz. 1998. Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree. Evol. Ecol. 12:35-57.
Geritz, S. A. H., J. A. J. Metz, and C. Rueffler. 2016. Mutual invadability near evolutionarily singular strategies for multivariate traits, with special reference to the strongly convergence stable case. J. Math. Biol. 72:1081-1099.
Gomulkiewicz, R., and M. Kirkpatrick. 1992. Quantitative genetics and the evolution of reaction norms. Evolution. 46:390.
Grafen, A. 1985. A geometric view of relatedness. Pp. 28-90 in Dawkins, R. and M. Ridley (eds.), Oxford Surveys in Evolutionary Biology, Oxford Univ. Press, Oxford, U.K.
Guillaume, F. 2011. Migration-induced phenotypic divergence: the migration-selection balance of correlated traits. Evolution. 65:1723-1738.
Guillaume, F., and M. C. Whitlock. 2007. Effects of migration on the genetic covariance matrix. Evolution. 61:2398-2409.
Hamilton, W. D. 1964. The genetical evolution of social behaviour. I. J. Theor. Biol. 7:1-16.
Han, C. S., and R. C. Brooks. 2013. Correlational selection does not explain the evolution of a behavioural syndrome. J. Evol. Biol. 26:2260-2270.
Harris, T. E. 1963. The theory of branching processes. Vol. 6. Courier Corporation, Mineola, NY.
Hines, W. G. S. 1980. Three characterizations of population strategy stability. J. Appl. Probab. 17:333-340.
Hochberg, M. E., D. J. Rankin, and M. Taborsky. 2008. The coevolution of cooperation and dispersal in social groups and its implications for the emergence of multicellularity. BMC Evol. Biol. 8:238.
Horn, R. A., and C. R. Johnson. 2012. Matrix analysis. Cambridge Univ. Press, Cambridge, U.K.
Iwasa, Y., and A. Pomiankowski. 1995. Continual change in mate preferences. Nature. 377:420-422.
Iwasa, Y., A. Pomiankowski, and S. Nee. 1991. The evolution of costly mate preferences ii. the 'handicap' principle. Evolution. 45:1431.
Jones, A. G., S. J. Arnold, and R. Burger. 2004. Evolution and stability of the G-matrix on a landscape with a moving optimum. Evolution. 58:1639.
Jones, A. G., S. J. Arnold, and R. Bürger. 2007. The mutation matrix and the evolution of evolvability. Evolution. 61:727-745.
Jones, A. G., R. Bürger, and S. J. Arnold. 2014. Epistasis and natural selection shape the mutational architecture of complex traits. Nat. Commun. 5:3709.
Karlin, S. 1968. Equilibrium behavior of population genetic models with non-random mating: part ii: pedigrees, homozygosity and stochastic models. J. Appl. Probab. 5:487-566.
Kimura, M. 1965a. Attainment of quasi-linkage equilibrium when gene frequencies are changing by natural selection. Genetics. 52:875-890.
Kimura, M 1965b. A stochastic model concerning the maintenance of genetic variability in quantitative character. Proc. Natl. Acad. Sci. U.S.A. 54:731-736.
Kirkpatrick, M., T. Johnson, and N. Barton. 2002. General models of multilocus evolution. Genetics. 161:1727-1750.
Kisdi, E. 2016. Dispersal polymorphism in stable habitats. J. Theor. Biol. 392:69-82.
Kisdi, E., and S. A. H. Geritz. 2009. Adaptive dynamics: a framework to model evolution in the ecological theatre. J. Math. Biol. 61:165-169.
Koella, J. C. 2000. The spatial spread of altruism versus the evolutionary response of egoists. Proc. R. Soc. Lond., B, Biol. Sci. 267:1979-1985.
Kuijper, B., and R. A. Johnstone. 2017. How sex-biased dispersal affects sexual conflict over care. Am. Nat. 189:501-514.
Kümmerli, R., K. T. Schiessl, T. Waldvogel, K. McNeill, and M. Ackermann. 2014. Habitat structure and the evolution of diffusible siderophores in bacteria. Ecol. Lett. 17:1536-1544.
Lande, R. 1976. Natural selection and random genetic drift in phenotypic evolution. Evolution. 30:314-334.
Lande, R 1979. Quantitative genetic analysis of multivariate evolution, applied to brain:body size allometry. Evolution. 33:402-416.
Lande, R 1980. The genetic covariance between characters maintained by pleiotropic mutations. Genetics. 94:203-215.
Lande, R 1981. Models of speciation by sexual selection on polygenic traits. Proc. Natl. Acad. Sci. U.S.A. 78:3721-3725.
Lande, R 1984. The genetic correlation between characters maintained by selection, linkage and inbreeding. Genet. Res. 44:309-320.
Lande, R 1992. Neutral theory of quantitative genetic variance in an island model with local extinction and colonization. Evolution. 46:381-389.
Lande, R., and S. Arnold. 1983. The measurement of selection on correlated characters. Evolution. 37:1210-1226.
Latter, B. D. 1970. Selection in finite populations with multiple alleles. ii. Centripetal selection, mutation, and isoallelic variation. Genetics. 66:165-86.
Lehmann, L., C. Mullon, E. Akçay, and J. Van Cleve. 2016. Invasion fitness, inclusive fitness, and reproductive numbers in heterogeneous populations. Evolution. 70:1689-1702.
Lehmann, L., and N. Perrin. 2002. Altruism, dispersal and phenotype-matching kin recognition. Am. Nat. 159:451-468.
Lehmann, L., and F. Rousset. 2014. The genetical theory of social behaviour. Philos. Trans. R. Soc. B 369:1-18.
Leimar, O. 2005. The evolution of phenotypic polymorphism: randomized strategies versus evolutionary branching. Am. Nat. 165:669-681.
Leimar, O 2009. Multidimensional convergence stability. Evol. Ecol. Res. 11:191-208.
Leturque, H., and F. Rousset. 2004. Intersexual competition as an explanation for sex-ratio and dispersal biases in polygynous species. Evolution. 58:2398-2408.
Lion, S. 2018. Theoretical approaches in evolutionary ecology: environmental feedback as a unifying perspective. Am. Nat. 191:21-44.
Lynch, M., and B. Walsh. 1998. Genetics and analysis of quantitative traits. Sinauer, Sunderland, MA.
McGlothlin, J. W., J. B. Wolf, E. D. Brodie, and A. J. Moore. 2014. Quantitative genetic versions of Hamilton's rule with empirical applications. Philos. Trans. R. Soc. Lond., B, Biol. Sci. 369:20130358.
Metz, J. A. J. 2011. Thoughts on the geometry of meso-evolution: collecting mathematical elements for a post-modern synthesis. Pp. 193-231 in Chalub, F. A. C. C. and J. Rodrigues (eds.), The mathematics of Darwin's legacy. Birkhäuser, Basel, Switzerland.
Metz, J. A. J., S. A. H. Geritz, G. Meszéna, F. J. A. Jacobs, and J. S. van Heerwaarden. 1996. Adaptive dynamics, a geometrical study of the consequences of nearly faithful reproduction. Pp. 183-231 plbibitalic-in van Strien, S. J. and S. M. Verduyn Lunel (eds.). Stochastic and spatial structures of dynamical systems. North-Holland, Amsterdam, the Netherlands.
Meyn, S., and R. L. Tweedie. 2009. Markov chains and stochastic stability. 2nd ed. Cambridge Univ. Press, Cambridge, U.K.
Michod, R. E. 1979. Evolution of life histories in response to age-specific mortality factors. Am. Nat. 113:531-550.
Michod, R. E. 1982. The theory of kin selection. Annu. Rev. Ecol. Evol. Syst 13:23-55.
Montiglio, P. O., C. Ferrari, and D. Reale. 2013. Social niche specialization under constraints: personality, social interactions and environmental heterogeneity. Philos. Trans. R. Soc. Lond., B, Biol. Sci. 368:20120343.
Morale, D., V. Capasso, and K. Oelschläger. 2005. An interacting particle system modelling aggregation behavior: from individuals to populations. J. Math. Biol. 50:49-66.
Morris, J. J. 2015. Black queen evolution: the role of leakiness in structuring microbial communities. Trends Genet. 31:475-482.
Morris, J. J., R. E. Lenski, and E. R. Zinser. 2012. The black queen hypothesis: evolution of dependencies through adaptive gene loss. MBio 3:379.
Moyal, J. E. 1962. The general theory of stochastic population processes. Acta math. 108:1-31.
Mullon, C., L. Keller, and L. Lehmann. 2016. Evolutionary stability of jointly evolving traits in subdivided populations. Am. Nat. 188:175-195.
Mullon, C., L. Keller, and L. Lehmann 2018. Social polymorphism is favoured by the co-evolution of dispersal with social behaviour. Nat. Ecol. Evol. 2:132-140.
Nadell, C. D., J. B. Xavier, and K. R. Foster. 2009. The sociobiology of biofilms. FEMS Microbiol. Rev. 33:206-224.
Nagylaki, T. 1992. Introduction to population genetics. Springer Verlag, Heidelberg, Germany.
Nagylaki, T 1993. The evolution of multilocus systems under weak selection. Genetics. 134:627-647.
Nuismer, S. L., R. Gomulkiewicz, and B. J. Ridenhour. 2010. When is correlation coevolution? Am. Nat. 175:525-537.
Oechssler, J., and F. Riedel. 2001. Evolutionary dynamics on infinite strategy spaces. Econ. Theor. 17:141-162.
Ohtsuki, H. 2010. Evolutionary games in Wright's island model: kin selection meets evolutionary game theory. Evolution. 64:3344-3353.
Oliveira, N. M., R. Niehus, and K. R. Foster. 2014. Evolutionary limits to cooperation in microbial communities. Proc. Natl. Acad. Sci. U.S.A. 111:17941-17946.
Özkaya, Ö., K. B. Xavier, F. Dionisio, and R. Balbontín. 2017. Maintenance of microbial cooperation mediated by public goods in single- and multiple-trait scenarios. J. Bacteriol. 199:e00297-17.
Parker, G., and J. Maynard Smith. 1990. Optimality theory in evolutionary biology. Nature. 348:27-33.
Parvinen, K., H. Ohtsuki, and J. Y. Wakano. 2017. The effect of fecundity derivatives on the condition of evolutionary branching in spatial models. J. Theor. Biol. 416:129-143.
Parvinen, K., H. Ohtsuki, and J. Y. Wakano. 2018. Spatial heterogeneity and evolution of fecundity-affecting traits. J. Theor. Biol. 454:190-204.
Perrin, N., and V. Mazalov. 2000. Local competition, inbreeding, and the evolution of sex-biased dispersal. Am. Nat. 155:116-127.
Phillips, P. C., and S. J. Arnold. 1989. Visualizing multivariate selection. Evolution. 43:1209-1222.
Price, G. R. 1970. Selection and covariance. Nature. 227:520-521.
Purcell, J., A. Brelsford, and L. Avilés. 2012. Co-evolution between sociality and dispersal: the role of synergistic cooperative benefits. J. Theor. Biol. 312:44-54.
Queller, D. C. 1992a. A general-model for kin selection. Evolution. 46:376-380.
Queller, D. C 1992b. Quantitative genetics, inclusive fitness, and group selection. Am. Nat. 139:540.
Raihani, N. J., A. Thornton, and R. Bshary. 2012. Punishment and cooperation in nature. Trends Ecol. Evol. 27:288-295.
Reuter, M., and L. Keller. 2001. Sex ratio conflict and worker production in eusocial Hymenoptera. Am. Nat. 158:166-177.
Revell, L. J. 2007. The G matrix under fluctuating correlational mutation and selection. Evolution. 61:1857-1872.
Rodríguez, Amor, D., and M. Dal Bello. 2019. Bottom-up approaches to synthetic cooperation in microbial communities. Life 9:22-17.
Roff, D. 1997. Evolutionary Quantitative Genetics. Springer, New York, NY.
Roff, D. A., and D. J. Fairbairn. 2012. A test of the hypothesis that correlational selection generates genetic correlations. Evolution. 66:2953-2960.
Ronce, O., and J. Clobert. 2012. Dispersal syndromes. Pp. 119-138 in Dispersal Ecology and Evolution. Oxford Univ. Press, Oxford, U.K.
Ross-Gillespie, A., Z. Dumas, and R. Kümmerli. 2015. Evolutionary dynamics of interlinked public goods traits: an experimental study of siderophore production in Pseudomonas aeruginosa. J. Evol. Biol. 28:29-39.
Rousset, F. 2002. Inbreeding and relatedness coefficients: what do they measure? Heredity. 88:371-380.
Rousset, F. 2004. Genetic structure and selection in subdivided populations, vol. 40. Princeton University Press, Princeton, NJ.
Rousset, F., and S. Gandon. 2002. Evolution of the distribution of dispersal distance under distance-dependent cost of dispersal. J. Evol. Biol. 15:515-523.
Roze, D., and F. Rousset. 2005. Inbreeding depression and the evolution of dispersal rates: a multilocus model. Am. Nat. 166:708-721.
Roze, D., and F. Rousset 2008. Multilocus models in the infinite island model of population structure. Theor. Popul. Biol. 73:529-542.
Rueffler, C., J. Hermisson, and G. P. Wagner. 2012. Evolution of functional specialization and division of labor. Proc. Natl. Acad. Sci. U.S.A. 109:E326-E335.
Rueffler, C., T. J. M. Van Dooren, O. Leimar, and P. A. Abrams. 2006. Disruptive selection and then what? Trends Ecol. Evol. 21:238-245.
Saltz, J. B., F. C. Hessel, and M. W. Kelly. 2017. Trait correlations in the genomics era. Trends Ecol. Evol. 32:1-12.
Sasaki, A., and U. Dieckmann. 2011. Oligomorphic dynamics for analyzing the quantitative genetics of adaptive speciation. J. Math. Biol. 63:601-635.
Schiessl, K. T., A. Ross-Gillespie, D. M. Cornforth, M. Weigert, C. Bigosch, S. P. Brown, M. Ackermann, and R. Kümmerli. 2019. Individual- versus group-optimality in the production of secreted bacterial compounds. Evolution. 73:675-688.
Sih, A., J. Cote, M. Evans, S. Fogarty, and J. Pruitt. 2012. Ecological implications of behavioural syndromes. Ecol. Lett. 15:278-289.
Simon, B. 2008. A stochastic model of evolutionary dynamics with deterministic large-population asymptotics. J. Theor. Biol. 254:719-730.
Sinervo, B., and E. Svensson. 2002. Correlational selection and the evolution of genomic architecture. Heredity. 89:329-338.
Slatkin, M. 1980. Ecological character displacement. Ecology 61:163-177.
Steppan, S. J., P. C. Phillips, and D. Houle. 2002. Comparative quantitative genetics: evolution of the G matrix. Trends Ecol. Evol. 17:320-327.
Svardal, H., C. Rueffler, and J. Hermisson. 2015. A general condition for adaptive genetic polymorphism in temporally and spatially heterogeneous environments. Theor. Popul. Biol. 99:76-97.
Taper, M. L., and T. J. Case. 1992. Models of character displacement and the theoretical robustness of taxon cycles. Evolution. 46:317-333.
Taper, M. L., and T. J. Chase 1985. Quantitative genetic models for the coevolution of character displacement. Ecology 66:355-371.
Taylor, P., and T. Day. 1997. Evolutionary stability under the replicator and the gradient dynamics. Evol. Ecol. 11:579-590.
Taylor, P. D. 1989. Evolutionary stability in one-parameter models under weak selection. Theor. Popul. Biol. 36:125-143.
Taylor, P. D 1992. Altruism in viscous populations-an inclusive fitness model. Evol. Ecol. 6:352-356.
Taylor, P. D., T. Day, and G. Wild. 2007. From inclusive fitness to fixation probability in homogeneous structured populations. J. Theor. Biol. 249:101-110.
Tazzyman, S. J., and Y. Iwasa. 2009. Sexual selection can increase the effect of random genetic drift-a quantitative genetic model of polymorphism in Oophaga Pumilio, the strawberry poison-dart frog. Evolution. 64:1719-1728.
Turelli, M. 1985. Effects of pleiotropy on predictions concerning mutation-selection balance for polygenic traits. Genetics. 111:165-195.
Turelli, M., and N. H. Barton. 1990. Dynamics of polygenic characters under selection. Theor. Popul. Biol. 38:1-57.
Turelli, M., and N. H. Barton 1994. Genetic and statistical-analyses of strong selection on polygenic traits-what, me normal. Genetics. 138:913-941.
van Baalen, M. 2013. The unit of adaptation, the emergence of individuality, and the loss of evolutionary sovereignty. Pp. 117-140 in Huneman, P. and F. Bouchard, eds. From groups to individuals: evolution and emerging individuality. MIT Press, Cambridge, MA.
Van Cleve, J. 2015. Social evolution and genetic interactions in the short and long term. Theor. Popul. Biol. 103:2-26.
van Gestel, J., H. Vlamakis, and R. Kolter. 2015. Division of labor in biofilms: the ecology of cell differentiation. Microbiol. Spectr. 3:1-24.
Vásárhelyi, Z., G. Meszena, and I. Scheuring. 2015. Evolution of heritable behavioural differences in a model of social division of labour. PeerJ 3:e977-22.
Wakano, J. Y., and Y. Iwasa. 2013. Evolutionary branching in a finite population: deterministic branching vs. stochastic branching. Genetics. 193:229-241.
Wakano, J. Y., and L. Lehmann. 2014. Evolutionary branching in deme-structured populations. J. Theor. Biol. 351:83-95.
Walsh, B., and M. Lynch. 2018. Evolution and selection of quantitative traits. Oxford Univ. Press, Oxford, U.K.
Wenseleers, T. 2010. Social evolution theory: a review of methods and approaches. Pp. 132-158 in Szekely, T., A. Moore, and J. Komdeur, eds. Social behaviour: genes, ecology and evolution, Cambridge Univ. Press, Cambridge, U.K.
West, S. A., A. S. Griffin, A. Gardner, and S. P. Diggle. 2006. Social evolution theory for microorganisms. Nat. Rev. Micro. 4:597-607.
Wild, G. 2011. Inclusive fitness from multitype branching processes. Bull. Math. Biol. 73:1028-1051.
Wolf, M., and F. J. Weissing. 2012. Animal personalities: consequences for ecology and evolution. Trends Ecol. Evol. 27:452-461.
Wolfram Research, I. 2016. Mathematica. Wolfram Research, Inc., Champaign, IL.
Wright, C. M., C. T. Holbrook, and J. N. Pruitt. 2014. Animal personality aligns task specialization and task proficiency in a spider society. Proc. Natl. Acad. Sci. U.S.A. 111:9533-9537.
Wright, S. 1931. Evolution in mendelian populations. Genetics. 16:290.