Abstract
Traditional theory in population genetics largely ignores the internal structure of a population and treats populations as homogeneous with respect to age, size, developmental stage, or other individual states. Although this is often a legitimate assumption for organisms with discrete generations, many species have overlapping generations, for which within-population structure should be taken into account. The last few decades have seen considerable interest in extending evolutionary models to include age structure. Charlesworth (1994) gave an account of the major results that have been obtained by applying ecological and demographic models of age-structured populations to population genetics and evolutionary theory. Although much progress has been made in this arena, there are still numerous problems in which neither age nor stage structure has been addressed.
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Literature Cited
Adler, F. R. 1990. Coexistence of two types on a single resource in discrete time. Journal of Mathematical Biology 28: 695–713.
Asmussen, M. A. 1979a. Density-dependent selection II. The Allee effect. American Naturalist 114: 796–809.
Asmussen, M. A. 1979b. Regular and chaotic cycling in models of ecological genetics. Theoretical Population Biology 16: 172–190.
Asmussen, M. A., and M. W. Feldman. 1977. Density dependent selection 1: A stable feasible equilibrium may not be attainable. Journal of Theoretical Biology 64: 603–618.
Blythe, S., W. S. Gurney, P. Maas, and R. M. Nisbet. 1990a. Introduction & Installation Guide for SOLVER (rev. 4) User Guide 40. Applied Physics Industrial Consultants, University of Strathclyde, Glasgow, Scotland.
Blythe, S., W. S. Gurney, P. Maas, and R. M. Nisbet. 1990b. Programming & Model Building Guide for SOLVER (rev. 4). User Guide 41. Applied Physics Industrial Consultants, University of Strathclyde, Glasgow, Scotland.
Bomze, I., P. Schuster, and K. Sigmund. 1983. The role of Mendelian genetics in strategic models on animal behavior. Journal of Theoretical Biology 101: 19–38.
Botsford, L. W. 1992. Further analysis of Clark’s delayed recruitment model. Bulletin of Mathematical Biology 54: 275–293.
Charlesworth, B. 1980. Evolution in Age-Structured Populations. Cambridge University Press.
Charlesworth, B.. 1994. Evolution in Age-Structured Populations. 2nd ed. Cambridge Studies in Mathematical Biology, Vol. 1. Cambridge University Press.
Cushing, J. M., and J. Li. 1992. Intra-specific competition and density dependent juvenile growth. Bulletin of Mathematical Biology 4: 503–519.
Dawkins, R. 1976. The Selfish Gene. Oxford University Press.
Ellner, S., and N. G. Hairston. 1994. The role of overlapping generations in maintaining genetic variation in a fluctuating environment. American Naturalist 143: 403–417.
Eshel, I., and E. Akin. 1983. Coevolutionary instability of mixed Nash solutions. Journal of Mathematical Biology 18: 123–133.
Gatto, M. 1993. The evolutionary optimality of oscillatory and chaotic dynamics in simple population models. Theoretical Population Biology 43: 310–336.
Hastings, A. 1992. Age dependent dispersal is not a simple process: Density dependence, stability, and chaos. Theoretical Population Biology 41: 388–400.
Hastings, A.1993. Complex interactions between dispersal and dynamics: Lessons from coupled logistic equations. Ecology 74: 1362–1372.
Hofbauer, J., and K. Sigmund. 1988. The Theory of Evolution and Dynamical Systems: Mathematical Aspects of Selection. Cambridge University Press.
May, R. M. 1974. Stability and Complexity in Model Ecosystems. Princeton University Press, Princeton, N.J.
Maynard Smith, J. 1982. Evolution and the Theory of Games. Cambridge University Press.
Maynard Smith, J., and J. Hofbauer. 1987. The “battle of the sexes”: A genetic model with limit cycle behavior. Journal of Theoretical Biology 32: 1–14.
Maynard Smith, J., and G. Price. 1973. The logic of animal conflicts. Nature 246: 15–18.
Roughgarden, J. 1971. Density-dependent natural selection. Ecology 52: 453–468.
Roughgarden, J. 1979. Theory of Population Genetics and Evolutionary Ecology. Macmillan, New York.
Schuster, P., and K. Sigmund. 1981. Coyness, philandering and stable strategies. Animal Behaviour 29: 186–192.
Selten, R. 1980. A note on evolutionarily stable strategies in asymmetrical animal conflicts. Journal of Theoretical Biology 84: 93–101.
Taylor, P., and L. Jonker. 1978. Evolutionarily stable strategies and game dynamics. Mathematical Biosciences 70: 65–90.
Templeton, A. R., and D. A. Levin. 1979. Evolutionary consequences of seedbanks. American Naturalist 114: 232–249.
Tonsor, S. J., S. Kalisz, J. Fisher, and T. P. Holtsford. 1993. A life-history based study of population genetic structure: Seed bank to adults in Plantago lanceolata. Evolution 47: 833–843.
Trivers, R. 1972. Parental investment and sexual selection. Pp. 136–179 in B. Campbell, ed., Sexual Selection and the Descent of Man. Aldine, Chicago.
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Kumm, J., Mylius, S.D., Promislow, D. (1997). Evolutionary Dynamics of Structured Populations. In: Tuljapurkar, S., Caswell, H. (eds) Structured-Population Models in Marine, Terrestrial, and Freshwater Systems. Population and Community Biology Series, vol 18. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5973-3_10
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DOI: https://doi.org/10.1007/978-1-4615-5973-3_10
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