Abstract
This paper studies sex allocation in an age-structured population of hermaphrodites living in a temporally fluctuating environment. The general condition for the evolutionary stable state (ESS) of allocation is derived for density-independent dynamics. This condition is used to determine the effect on the deterministic ESS of a dependence of survival rates on allocation. It is also used to identify the special conditions under which a stochastic ESS is given by a product rule and show how demographic structure and the correlation structure of vital rates determines the stochastic ESS.
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References
Bierzychudek, P. 1984. Assessing “optimal” life histories in a fluctuating environment: The evolution of sex-changing by jack-in-the-pulpit. Am Nat, 123, 829–840.
Bull, J J. 1981. Sex ratio evolution when fitness varies. Heredity, 46, 9–26.
Caswell, H. 1978. A general formula for the sensitivity of population growth rate to changes in life history par-ameters. Theor Pop Biol, 14, 215–230.
Charlesworth, B. 1980.Evolution in Age-Structured Popula-tions. Cambridge Univ. Press, Cambridge.
Charnov, E L. 1979. The genetical evolution of patterns of sexuality: Darwinian fitness. Am Nat, 113, 465–480.
Charnov, E L. 1982.The Theory of Sex Allocation. Princeton Univ. Press, Princeton.
Charnov, E L. 1986. An optimization principle for sex alloca-tion in a temporally varying environment. Heredity, 56, 119–121.
Charnov, E L. 1988. Hermaphroditic sex allocation with overlapping generations. Theor Pop Biol, 34, 38–46.
Cohen, J E. 1979. Comparative statics and stochastic dynamics of age-structured populations. Theor Pop Biol, 17, 159–171.
Hajnal, L. 1976. On products of non-negative matrices. Math Proc Camb Phil Soc, 79, 521–530.
Heyde, C C, and Cohen, J E. 1985. Confidence intervals for demographic projections based on products of random matrices. Theor Pop Biol, 27, 120–153.
Karlin, S. S.Lessard. 1986.Theoretical Studies on Sex Ratio Evolution. Princeton Univ. Press, Princeton.
Lande, R. 1987. Extinction thresholds in demographic models of territorial populations. Am Nat, 130, 624–635.
Maynard Smith, J. 1982.Evolution and the Theory of Games. Cambridge Univ. Press, Cambridge.
Seger, J. 1983. Partial bivoltinism may cause altering sex-ratio biases that favor ensociality. Nature, 301, 59–62.
Tuljapurkar, S D. 1982. Population dynamics in variable environments.III. Evolutionary dynamics of r-selection. Theor Pop Biol, 21, 141–165.
Tuljapurkar, S D. 1989. An Uncertain Life: Demography in random environments. Theor Pop Biol, 35 (In Press).
Tuljapurkar, S D, and Orzack, S H. 1980. Population dynamics in variable environments. I. Long-run growth rates and extinction. Theor Pop Biol, 18, 314–342.
Werren, J H, and Charnov, E L. 1978. Facultative sex-ratio and population dynamics. Nature, 272, 349–350.
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Tuljapurkar, S. Age structure, environmental fluctuations, and hermaphroditic sex allocation. Heredity 64, 1–7 (1990). https://doi.org/10.1038/hdy.1990.1
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DOI: https://doi.org/10.1038/hdy.1990.1