Skip to main content
Log in

Optimal sex ratio as a function of EGG incubation temperature in the crocodilians

  • Published:
Bulletin of Mathematical Biology Aims and scope Submit manuscript

Abstract

Recently, there has been a growing consensus as to the adaptive significance of temperature-dependent sex determination in the Crocodilia. The observationally and experimentally motivated hypotheses are that male fitness depends more strongly on quality of incubation environment than female fitness, and that there is a strong correlation between a female's egg incubation temperature choice and her own egg incubation temperature. A population genetics model based on these hypotheses is derived. A method for finding the optimal sex ratio as a function of temperature, which is an evolutionary stable strategy (ESS), is stated and applied under various assumptions. This extends ESS theory to thefunctional case. Cases where there is no ESS and the population sex ratio oscillates in evolutionary time are discovered. Numerical computation is needed to solve the full problem and the resulting optimal sex ratio is compared to laboratory sex ratio data. The general pattern of TSD in crocodilians (female-male-female with female biased overall sex ratio) agrees well with the theory, but details of the pattern are problematic.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature

  • Charnov, E. L. 1982.The Theory of Sex Allocation. Princeton: Princeton University Press.

    Google Scholar 

  • Crow, J. F. and M. Kimura. 1970.An Introduction to Population Genetics Theory. New York: Harper & Row.

    Google Scholar 

  • Deeming, D. C. and M. W. J. Ferguson. 1988. Environmental regulation of sex determination in reptiles.Phil. Trans. R. Soc. Lond. B322, 19–39.

    Google Scholar 

  • Deeming, D. C. and M. W. J. Ferguson. 1989a. The mechanism of temperature dependent sex determination in crocodilians: a hypothesis.Am. Zool. 29, 973–985.

    Google Scholar 

  • Deeming, D. C. and M. W. J. Ferguson. 1989b. In the heat of the nest:New Scientist 1657, 33–38.

    Google Scholar 

  • Ferguson, M. W. J. and T. Joanen. 1982. Temperature of egg incubation determines sex inAligator mississippiensis.Nature 296, 850–853.

    Article  Google Scholar 

  • Ferguson, M. W. J. and T. Joanen. 1983. Temperature-dependent sex determination inAlligator mississippiensis.J. Zool. (Lond.) 200, 143–177.

    Google Scholar 

  • Hutton, J. M. 1987. Incubation temperatures, sex ratios and sex determination in a population of Nile crocodiles,Crocodylus niloticus.J. Zool. (Lond.) 211, 143–156.

    Google Scholar 

  • Joanen, T., L. McNease and M. W. J. Ferguson. 1987. The effects of egg incubation temperature on post-hatching growth of American alligators. InWildlife Management: Crocodiles and Alligators, G. J. W. Webb, S. C. Manolis and P. J. Whitehead (eds), pp. 533–437. Sydney: Surrey Beatty.

    Google Scholar 

  • Lang, J. W. 1987. Crocodilian thermal selection. InWildlife Management: Crocodiles and Alligators, G. J. W. Webb, S. C. Manolis and P. J. Whitehead (eds), pp. 301–317. Sydney: Surrey Beatty.

    Google Scholar 

  • Lang, J. W., H. Andrews and R. Whitaker. 1989. Sex determination and sex ratios inCrocodylus palustris.Am. Zool. 29, 935–952.

    Google Scholar 

  • Webb, G. and H. Cooper-Preston. 1989. Effects of egg incubation temperature on crocodiles and the evolution of reptilian oviparity.Am. Zool.,29, 953–971.

    Google Scholar 

  • Webb, G., A. M. Beal, S. C. Manolis and K. E. Dempsy. 1987. The effects of incubation temperature on sex determination and embryonic development rate inCrocodylus johnstoni andC. porosus. InWildlife Management: Crocodiles and Alligators, G. J. W. Webb, S. C. Manolis and P. J. Whitehead (eds), pp. 301–317. Sydney: Surrey Beatty.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Phelps, F.M. Optimal sex ratio as a function of EGG incubation temperature in the crocodilians. Bltn Mathcal Biology 54, 123–148 (1992). https://doi.org/10.1007/BF02458624

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02458624

Keywords

Navigation