Evolution in fluctuating environments: Decomposing selection into additive components of the robertson-price equation

Evolution

Volumn 68, Issue 3, 2014, Pages 854-865

  Engen, Steinar ^a   Sæther, Bernt Erik ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Demographic stochasticity; Environmental stochasticity; Fluctuating selection; Genetic drift; Individual fitness; Price equation; Quantitative genetics

Indexed keywords

DEMOGRAPHY; ENVIRONMENTAL CHANGE; FITNESS; GENETIC DRIFT; PHENOTYPIC PLASTICITY; POPULATION SIZE; QUANTITATIVE ANALYSIS; SELECTION; STOCHASTICITY;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; DEMOGRAPHIC STOCHASTICITY; ENVIRONMENT; ENVIRONMENTAL STOCHASTICITY; FLUCTUATING SELECTION; GENETIC DRIFT; GENETIC SELECTION; INDIVIDUAL FITNESS; MOLECULAR EVOLUTION; POPULATION DYNAMICS; PRICE EQUATION; QUANTITATIVE GENETICS;

DEMOGRAPHIC STOCHASTICITY; ENVIRONMENTAL STOCHASTICITY; FLUCTUATING SELECTION; GENETIC DRIFT; INDIVIDUAL FITNESS; PRICE EQUATION; QUANTITATIVE GENETICS;

ANIMALS; ENVIRONMENT; EVOLUTION, MOLECULAR; MODELS, GENETIC; POPULATION DYNAMICS; SELECTION, GENETIC;

EID: 84896726736     PISSN: 00143820     EISSN: 15585646     Source Type: Journal    
DOI: 10.1111/evo.12310     Document Type: Article

References (72)

1. Bartlett, M. S. 1960. Stochastic population models. Methuen, Lond.
2. Bell, G. 2008. The mechanism of selection. 2nd ed. Oxford Univ. Press, Oxford, U.K.
3. Charmantier, A., and D. Garant. 2005. Environmental quality and evolutionary potential: lessons from wild populations. Proc. R. Soc. Lond. Ser. B 272: 1415-1425.
4. Coulson, T., T. G. Benton, P. Lundberg, S. R. X. Dall, and B. E. Kendall. 2006. Putting evolutionary biology back in the ecological theatre: a demographic framework mapping genes into communities. Evol. Ecol. Res. 8: 1155-1171.
5. Coulson, T., and S. Tuljapurkar. 2008. The dynamics of a quantitative trait in an age-structured population living in a variable environment. Am. Nat. 172: 599-612.
6. Coulson, T., S. Tuljapurkar, and D. Z. Childs. 2010. Using evolutionary demography to link life history theory, quantitative genetics and population ecology. J. Anim. Ecol. 79: 1226-1240.
7. Ellner, S. P., M. A. Geber, and N. G. Hairston. 2011. Does rapid evolution matter? Measuring the rate of contemporary evolution and its impacts on ecological dynamics. Ecol. Lett. 14: 603-614.
8. Engen, S., Ø. Bakke, and A. Islam. 1998. Demographic and environmental stochasticity-concepts and definitions. Biometrics 54: 840-846.
9. Engen, S., R. Lande, and B.-E. Sæther. 2005. Effective size of a fluctuating age-structured population. Genetics 170: 941-954.
10. Engen, S., R. Lande, B.-E. Sæther, and F. S. Dobson. 2009. Reproductive value and the stochastic demography of age-structured populations. Am. Nat. 174: 795-804.
11. Engen, S., T. H. Ringsby, B.-E. Sæther, R. Lande, H. Jensen, M. Lillegård, and H. Ellegren. 2007. Effective size of fluctuating populations with two sexes and overlapping generations. Evolution 61: 1873-1885.
12. Engen, S., B.- E. Sæther, T. Kvalnes, and H. Jensen. 2012. Estimating fluctuating selection in age-structured populations. J. Evol. Biol. 25: 1487-1499.
13. Engen, S., R. Lande, and B.-E. Sæther. 2013. A quantitative genetic model of r- and K-selection in a fluctuating population. Am. Nat. 181:725-736.
14. Fisher, R. A. 1930. The genetical theory of natural selection. Oxford at the Clarendon Press, Oxford, U.K.
15. Frank, S. A. 1995. George Price's contributions to evolutionary genetics. J. Theor. Biol. 175: 373-388.
16. Frank, S. A. 1997. The Price equation, Fisher's fundamental theorem, kin selection, and causal analysis. Evolution 51: 1712-1729.
17. Frank, S. A. 2012. Natural selection. IV. The Price equation. J. Evol. Biol. 25: 1002-1019.
18. Gardner, A. 2008. The Price equation. Curr. Biol. 18: R198-R202.
19. Gardner, A., S. A. West, and N. H. Barton. 2007. The relation between multilocus population genetics and social evolution theory. Am. Nat. 169: 207-226.
20. Gillespie, J. H. 1974. Natural selection for within-generation variance in offspring number. Genetics 76: 601-606.
21. Gillespie, J. H. 1991. The causes of molecular evolution. Oxford Univ. Press, Oxford, U.K.
22. Grafen, A. 2000. Developments of the Price equation and natural selection under uncertainty. Proc. R. Soc. Lond. Ser. B 267: 1223-1227.
23. Grafen, A. 2002. A first formal link between the Price equation and an optimization program. J. Theor. Biol. 217: 75-91.
24. Grafen, A. 2013. Developments of the Price equation and natural selection under uncertainty. Proc. R. Soc. Lond. Ser. B 267: 1223-1227.
25. Grøtan, V., B.-E. Sæther, S. Engen, J. H. van Balen, A. C. Perdeck, and M. E. Visser. 2009. Spatial and temporal variation in the relative contribution of density dependence, climate variation and migration to fluctuations in the size of great tit populations. J. Anim. Ecol. 78: 447-459.
26. Hadfield, J. D. 2008. Estimating evolutionary parameters when viability selection is operating. Proc. R. Soc. B Lond. 275: 723-734.
27. Hereford, J., T. F. Hansen, and D. Houle. 2004. Comparing strengths of directional selection: how strong is strong? Evolution 58:2133-2143.
28. Hoekstra, H. E., J. M. Hoekstra, D. Berrigan, S. N. Vignieri, A. Hoang, C. E. Hill, P. Beerli, and J. G. Kingsolver. 2001. Strength and tempo of directional selection in the wild. Proc. Natl. Acad. Sci. USA 98: 9157-9160.
29. Jensen, H., B.- E. Sæther, T. H. Ringsby, J. Tufto, S. C. Griffith, and H. Ellegren. 2003. Sexual variation in heritability and genetic correlations of morphological traits in house sparrow (Passer domesticus). J. Evol. Biol. 16: 1296-1307.
30. Jensen, H., I. Steinsland, T. H. Ringsby, and B.-E. Sæther. 2008. Evolutionary dynamics of a sexual ornament in the House Sparrow (Passer domesticus): the role of indirect selection within and between sexes. Evolution 75: 1275-1293.
31. Keiding, N. 1975. Extinction and exponential growth in random environments. Theor. Popul. Biol. 8: 49-63.
32. Kingsolver, J. G., and D. W. Pfennig. 2007. Patterns and power of phenotypic selection in nature. Bioscience 57: 561-572.
33. Kingsolver, J. G., H. E. Hoekstra, J. M. Hoekstra, D. Berrigan, S. N. Vignieri, C. E. Hill, A. Hoang et al. 2001. The strength of phenotypic selection in natural populations. Am. Nat. 157: 245-261.
34. Kingsolver, J. G., S. E. Diamond, A. M. Siepielski, and S. M. Carlson. 2012. Synthetic analyses of phenotypic selection in natural populations: lessons, limitations and future directions. Evol. Ecol. 26: 1101-1118.
35. Kruuk, L. E. B., J. Slate, and A. J. Wilson. 2008. New answers for old questions: the evolutionary quantitative genetics of wild animal populations. Ann. Rev. Ecol. Evol. Syst. 39: 525-548.
36. Lande, R. 1976. Natural selection and random genetic drift in phenotypic evolution. Evolution 30: 314-334.
37. Lande, R. 1979. Quantitative genetic analysis of multivariate evolution, applied to brain-body size allometry. Evolution 33: 402-416.
38. Lande, R. 1982. A quantitative genetic theory of life history evolution. Ecology 63: 607-615.
39. Lande, R. 2007. Expected relative fitness and the adaptive topography of fluctuating selection. Evolution 61: 1835-1846.
40. Lande, R., and S. J. Arnold. 1983. The measurement of selection on correlated characters. Evolution 37: 1210-1226.
41. Lande, R., S. Engen, and B.-E. Sæther. 2003. Stochastic population dynamics in ecology and conservation. Oxford Univ. Press, Oxford, U.K.
42. Lewontin, R. C., and D. Cohen. 1969. On population growth in a randomly varying environment. Proc. Natl. Acad. Sci. USA 62: 1056-1060.
43. May, R. M. 1973. Stability in randomly fluctuating versus deterministic environments. Am. Nat. 107: 621-650.
44. McGraw, J. B., and H. Caswell. 1996. Estimation of individual fitness from life-history data. Am. Nat. 147: 47-64.
45. Merilä, J., B. C. Sheldon, and L. E. B. Kruuk. 2001. Explaining stasis: microevolutionary studies in natural populations. Genetica 112: 199-222.
46. Metz, J. A. J., S. D. Mylius, and O. Dieckmann. 2008. When does evolution optimize? Evol. Ecol. Res. 10: 629-654.
47. Metz, J. A. J., R. M. Nisbet, and S. A. H. Geritz. 1992. How should we define 'fitness' for general ecological scenarios? Trends Ecol. Evol. 7: 198-202.
48. Morrissey, M. B., and J. D. Hadfield. 2012. Directional selection in temporally replicated studies is remarkably consistent. Evolution 66: 435-442.
49. Morrissey, M. B., L. E. B. Kruuk, and A. J. Wilson. 2010. The danger of applying the Breeder's equation in observational studies of natural populations. J. Evol. Biol. 23: 2277-2288.
50. Morrissey, M. B., D. J. Parker, P. Korsten, J. M. Pemberton, L. E. B. Kruuk, and A. J. Wilson. 2012. The prediction of adaptive evolution: empirical application of the secondary theorem of selection and comparison to the Breeder's equation. Evolution 66: 2399-2410.
51. Orr, H. A. 2009. Fitness and its role in evolutionary genetics. Nat. Rev. Gen. 10: 531-539.
52. Ozgul, A., D. Z. Childs, M. K. Oli, K. B. Armitage, D. T. Blumstein, L. E. Olson, S. Tuljapurkar et al. 2010. Coupled dynamics of body mass and population growth in response to environmental change. Nature 466: 482-485.
53. Ozgul, A., S. Tuljapurkar, T. G. Benton, J. M. Pemberton, T. H. Clutton-Brock, and T. Coulson. 2009. The dynamics of phenotypic change and the shrinking sheep of St. Kilda. Science 325: 464-467.
54. Pärn, H., T. H. Ringsby, H. Jensen, and B.-E. Sæther. 2012. Spatial heterogeneity in the effects of climate and density-dependence on dispersal in a house sparrow metapopulation. Proc. R. Soc. Lond. Ser. B 279: 144-152.
55. Price, G. R. 1972. Extension of covariance selection mathematics. Ann. Hum. Gen. 35: 485-490.
56. Reed, T. E., V. Grøtan, S. Jenouvrier, B.-E. Sæther, and M. E. Visser. 2013. Population growth in a wild bird is buffered against phenological mismatch. Science 340: 488-491.
57. Reiss, J. O. 2013. Does selection intensity increase when populations decrease? Absolute fitness, relative fitness, and the opportunity for selection. Evol. Ecol. 27: 477-488.
58. Rice, S. H. 2004. Evolutionary theory: mathematical and conceptual foundations. Sinauer Associates, Sunderland, MA.
59. Rice, S. H. 2008. A stochastic version of the Price equation reveals the interplay of deterministic and stochastic processes in evolution. BMC Evol. Biol. 8: 262.
60. Ringsby, T. H., B.-E. Sæther, and E. J. Solberg. 1998. Factors affecting juvenile survival in House Sparrow Passer domesticus. J. Avian Biol. 29: 241-247.
61. Ringsby, T. H., B.-E. Sæther, J. Tufto, H. Jensen, and E. J. Solberg. 2002. Asynchronous spatiotemporal demography of a House Sparrow metapopulation in a correlated environment. Ecology 83: 561-569.
62. Robertson, A. 1966. A mathematical model of the culling process in dairy cattle. Anim. Prod. 8: 95-108.
63. Sæther, B.-E., S. Engen, A. Islam, R. McCleery, and C. Perrins. 1998. Environmental stochasticity and extinction risk in a population of a small songbird, the great tit. Am. Nat. 151: 441-450.
64. Sæther, B.-E., S. Engen, A. P. Møller, H. Weimerskirch, M. E. Visser, W. Fiedler, E. Matthysen, M. M. Lambrechts, A. Badyaev, P. H. Becker, J. E. Brommer et al. 2004. Life-history variation predicts the effects of demographic stochasticity on avian population dynamics. Am. Nat. 164: 793-802.
65. Schindler, S., S. Tuljapurkar, J. M. Gaillard, and T. Coulson. 2012. Linking the population growth rate and the age-at-death distribution. Theor. Pop. Biol. 82: 244-252.
66. Schoener, T. W. 2011. The newest synthesis: understanding the interplay of evolutionary and ecological dynamics. Science 331: 426-429.
67. Shpak, M. 2007. Selection against demographic stochasticity in age-structured populations. Genetics 177: 2181-2194.
68. Tuljapurkar, S. D. 1982. Population dynamics in variable environments. II. Correlated environments, sensitivity analysis and dynamics. Theor. Popul. Biol. 21: 114-140.
69. Tuljapurkar, S., J. M. Gaillard, and T. Coulson. 2009. From stochastic environments to life histories and back. Philos. Trans. R. Soc. Lond. Ser. B 364: 1499-1509.
70. Tuljapurkar, S. D., and S. H. Orzack. 1980. Population dynamics in variable environments. 1. Long-run growth rates and extinction. Theor. Popul. Biol. 18: 314-342.
71. Turelli, M. 1981. Temporally varying selection on multiple alleles: a diffusion analysis. J. Math. Biol. 13: 115-129.
72. Wright, S. 1931. Evolution in Mendelian populations. Genetics 16: 97-159.