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Optimization and ESS Analysis for Populations in Stochastic Environments

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Book cover Adaptation in Stochastic Environments

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 98))

Abstract

The interplay of demographic and environmental variance is considered in a behavioral context involving foraging in the presence of uncertain, fluctuating risk of predation. The evolutionary contest between two strategies — high risk and high fecundity versus low risk and low fecundity — is considered. Often the risky strategy will be dominant when it is sufficiently abundant in the population. Demographic (sampling) variance, however, implies that either strategy may be at a disadvantage when rare. In a phenotypic model the stable strategy may be determined by initial conditions and by chance. In a genetic model, polymorphism may be maintained if the risky strategy is heterozygotic.

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References

  • Boyce, M. and C.M. Perrins. 1987. Optimizing great tit clutch size in a fluctuating environment, Ecology 68:142–153.

    Article  Google Scholar 

  • Clark, C.W. and D.A. Levy. 1988. Diel vertical migrations by juvenile sockeye salmon and the antipredation window, Amer. Nat. 131: 271–290.

    Article  Google Scholar 

  • Clark, C.W., and J. Yoshimura. 1993. Behavioral responses to variations in population size: a stochastic evolutionary game, Behav. Ecol. (in press).

    Google Scholar 

  • Cohen, D., and S. Levin. 1991. Dispersal in patchy environments: the effects of temporal and spatial structure, Theoret. Pop. Biol. 39: 63–99.

    Article  Google Scholar 

  • Dupré, J. (Ed.) 1987. The Latest on the Best: Essays on Evolution and Optimality. MIT press, Cambridge, MA.

    Google Scholar 

  • Ellner, S. 1985. ESS germination strategies in randomly varying environments. I. Logistic-type models, Theoret Pop. Biol. 28: 50–79.

    Article  CAS  Google Scholar 

  • Fagerström, T. 1987. On theory, data and mathematics in ecology, Oikos 50: 258–261.

    Article  Google Scholar 

  • Gillespie, J.H. 1974. Natural selection for within-generation variance in offspring number, Genetics 76: 601–606.

    PubMed  CAS  Google Scholar 

  • Gould, S.J. and R.C. Lewontin. 1979. The spandrels of San Marco and the Panglossian paradigm: a critique of the adaptational programme, Proc. Roy. Soc. London. B. 205: 581 – 598.

    Article  CAS  Google Scholar 

  • Hairston, N.G., and W.R. Munns, Jr. 1984. The timing of copepod diapause as an evolutionary stable strategy, Amer. Nat. 123: 733–751.

    Article  Google Scholar 

  • Kingsland, S. 1985. Modeling Nature. University of Chicago Press, Chicago, IL.

    Google Scholar 

  • Lacey, E.P., L.A. Real, J. Antonovics, and D.G. Heckel. 1983. Variance models in the study of life histories, Amer. Nat. 122: 114–131.

    Article  Google Scholar 

  • Levin, S.A., A. Hastings and D. Cohen. 1984. Dispersal strategies in patchy environments, Theoret. Pop. Biol. 26 165–191.

    Article  Google Scholar 

  • Levins, R. 1968. Evolution in Changing Environments. Princeton University Press, Princeton, N.J.

    Google Scholar 

  • Lewontin, R.C. and D. Cohen. 1969. On population growth in a randomly varying environment, Proc. Nat. Acad. Sci. USA 62: 1056–1060.

    Article  PubMed  CAS  Google Scholar 

  • Ludwig, D.A. and S.A. Levin. 1991. Evolutionary stability of plant communities and the maintenance of multiple dispersal types, Theoret. Pop. Biol. 40: 285–307.

    Article  Google Scholar 

  • Mangel, M. 1987. Oviposition site selection and clutch size in insects, J. Math. Biol. 25: 1–22.

    Article  Google Scholar 

  • Mangel, M. and C.W. Clark. 1988. Dynamic Modeling in Behavioral Ecology. Princeton University Press, Princeton, NJ.

    Google Scholar 

  • Maynard Smith, J. 1982. Evolution and the Theory of Games. Cambridge University Press, Cambridge.

    Google Scholar 

  • Mitchell, W.A. and T.J. Valone. 1990. The optimization research program: Studying adaptations by their function, Quart. Rev. Biol. 65: 43–52.

    Article  Google Scholar 

  • Parker, G.A. and J. Maynard Smith. 1990. Optimality theory in evolutionary biology, Nature 348: 27–33.

    Article  Google Scholar 

  • Seger, J. and J. Brockmann. 1987. What is bet-hedging? Oxford Surveys in Evolutionary Biology 4:182–211.

    Google Scholar 

  • Slatkin, M. 1974. Hedging one’s evolutionary bets, Nature 250: 704–705.

    Google Scholar 

  • Ydenberg, R.C. 1989. Growth-mortality trade offs, parent-offspring conflict, and the evolution of juvenile life histories in the avian family, Alcidae, Ecology 70: 1496–1508.

    Article  Google Scholar 

  • Yoshimura, J. and C.W. Clark. 1991. Individual adaptations in stochastic environments, Evol. Ecol. 5: 173–192.

    Article  Google Scholar 

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© 1993 Springer-Verlag Berlin Heidelberg

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Clark, C.W., Yoshimura, J. (1993). Optimization and ESS Analysis for Populations in Stochastic Environments. In: Yoshimura, J., Clark, C.W. (eds) Adaptation in Stochastic Environments. Lecture Notes in Biomathematics, vol 98. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51483-8_6

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  • DOI: https://doi.org/10.1007/978-3-642-51483-8_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56681-6

  • Online ISBN: 978-3-642-51483-8

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