Diversity of age‐specific reproductive rates may result from ageing and optimal resource allocation

This paper reports the results of a dynamic programming model which optimizes resource allocation to growth, reproduction and repair of somatic damage, based on the disposable soma theory of ageing. Here it is shown that different age‐dependent patterns of reproductive rates are products of optimal lifetime strategies of resource partitioning. The array of different reproductive patterns generated by the model includes those in which reproduction begins at the maximum rate at maturity and then declines to the end of life, or increases up to a certain age and then drops. The observed patterns reflect optimal resource allocation shaped by the level of extrinsic mortality. A continuous decline in the reproductive rate from the start of reproduction is associated with high extrinsic mortality, and an early increase in the reproductive rate occurs under low extrinsic mortality. A long‐lived organism shows a low reproductive rate early in life, and short‐lived organisms start reproduction at the maximum rate.

[1]  T. Miyatake Genetic trade-off between early fecundity and longevity in Bactrocera Cucurbitae (Diptera: Tephritidae) , 1997, Heredity.

[2]  Brian Charlesworth,et al.  The Relation of Reproductive Effort to Age , 1976, The American Naturalist.

[3]  Mariusz Cichoń,et al.  Evolution of longevity through optimal resource allocation , 1997, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[4]  C. M. Lessells,et al.  The Evolution of Life Histories , 1994 .

[5]  A. Houston,et al.  State-dependent life histories , 1996, Nature.

[6]  Michael J. Reiss,et al.  The allometry of growth and reproduction , 1989 .

[7]  M. Doebeli,et al.  Experimental evolution of aging, growth, and reproduction in fruitflies. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[8]  D. Reznick Life History Evolution in Guppies: a Model System for the Empirical Study of Adaptation , 1995 .

[9]  W. Press,et al.  Numerical Recipes: The Art of Scientific Computing , 1987 .

[10]  Peter Calow,et al.  Physiological Ecology of Animals: An Evolutionary Approach , 1986 .

[11]  W. Schaffer Optimal Reproductive Effort in Fluctuating Environments , 1974, The American Naturalist.

[12]  Thomas E. Johnson,et al.  Evolutionary biology of aging , 1990 .

[13]  H. M. Taylor,et al.  Natural selection of life history attributes: an analytical approach. , 1974, Theoretical population biology.

[14]  William H. Bossert,et al.  Life Historical Consequences of Natural Selection , 1970, The American Naturalist.

[15]  M. Cichoń,et al.  Ageing and typical survivorship curves result from optimal resource allocation , 2000 .

[16]  Donald Ludwig,et al.  OPTIMALITY THEORY, GOMPERTZ' LAW, AND THE DISPOSABLE SOMA THEORY OF SENESCENCE , 1995, Evolution; international journal of organic evolution.

[17]  Ian Newton Lifetime Reproduction in Birds , 1990 .

[18]  George C. Williams,et al.  Natural Selection, the Costs of Reproduction, and a Refinement of Lack's Principle , 1966, The American Naturalist.

[19]  Paul H. Harvey,et al.  Living fast and dying young: A comparative analysis of life‐history variation among mammals , 1990 .

[20]  B. Charlesworth,et al.  Evolution in Age-Structured Populations. , 1995 .

[21]  E. H. Bryant Life History Consequences of Natural Selection: Cole's Result , 1971, The American Naturalist.

[22]  William H. Press,et al.  Numerical Recipes: The Art of Scientific Computing , 1987 .

[23]  Bruce Hannon,et al.  Dynamic Modeling , 1994, Springer US.

[24]  James R. Carey,et al.  LONG‐TERM COST OF REPRODUCTION WITH AND WITHOUT ACCELERATED SENESCENCE IN CALLOSOBRUCHUS MACULATUS: ANALYSIS OF AGE‐SPECIFIC MORTALITY , 1993, Evolution; international journal of organic evolution.

[25]  T. Pärt,et al.  Age and reproduction in birds - hypotheses and tests. , 1995, Trends in ecology & evolution.

[26]  D. Goodman Optimal Life Histories, Optimal Notation, and the Value of Reproductive Value , 1982, The American Naturalist.

[27]  Odo Diekmann,et al.  On evolutionarily stable life histories, optimization and the need to be specific about density dependence , 1995 .