Mathematical modeling of life history evolution: A brief history and main trends

Zhurnal Obshchei Biologii

Volumn 71, Issue 4, 2010, Pages 275-286

  Budilova, E V ^a   Teriokhin, A T ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL; ARTICLE; BIOLOGICAL MODEL; EVOLUTION; LIFE CYCLE; PLANT; POPULATION DYNAMICS;

ANIMALS; EVOLUTION; LIFE CYCLE STAGES; MODELS, BIOLOGICAL; PLANTS; POPULATION DYNAMICS;

EID: 78049451944     PISSN: 00444596     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (88)

1. Abrams P. A., Matsuda Y., Harada Y., 1993. Evolutionarily unstable fitness maxima and stable fitness minima in the evolution of continuous traits//Ev. Ecol. V. 7. P. 312-326.
2. Bellairs A. A., 1960. Reptiles: Life History, Evolution and Structure. N. Y.: Harper. 192 p.
3. Birch L. C., 1948. The intrinsic rate of natural increase of an insect population//J. Anim. Ecol. V. 17. No. 1. P. 15-26.
4. Charlesworth B., Leon J. A., 1976. The relation of reproductive effort to age//Amer. Nat. V. 110. P. 449-459.
5. Christiansen KB., 1991. On conditions for evolutionary stability for a continuously varying character//Amer. Nat. V. 138. P. 37-50.
6. Christiansen F. B., Loeschcke V., 1980. Evolution and intraspecific exploitative competition. II. One-locus theory for small additive gene effects//Theor. Pop. Biol. V. 18. P. 297-313.
7. Cichon M., 1997. Evolution of longevity through optimal resource allocation//Proc. R. Soc. Lond. B. V. 264. P. 1383-1388. (Pubitemid 27445240)
8. Cole L. C., 1954. The population consequences of life history phenomena//Quart. Rev. Biol. V. 29. P. 103-137.
9. Deevey E. S., 1947. Life tables for natural populations of animals//Quart. Rev. Biol. V. 22. P. 283-314.
10. Dieckmann O., 2004. A beginners guide to adaptive dynamics//Mathematical Modelling of Population Dynamics. Warsaw: Banach Center Publications. V. 63. P. 47-86.
11. Dieckmann U., Law R., 1996. The dynamical theory of coevolution: a derivation from stochastic ecological processes//J. Math. Biol. V. 34. P. 579-612. (Pubitemid 126768843)
12. Dieckmann U., Marrow P., Law R., 1995. Evolutionary cycling in predator-prey interactions: population dynamics and the red queen//J. Theor. Biol. V. 176. No. 11. P. 91-102. (Pubitemid 26452961)
13. Doebeli M., Dieckmann U., 2000. Evolutionary branching and sympatric speciation caused by different types of ecological interactions//Amer. Nat. V. 156. P. S77-S101.
14. Doebeli M., Dieckmann U., 2003. Speciation along environmental gradient//Nature. V. 421. P. 259-264.
15. Eshel I., 1983. Evolutionary and continuous stability//J. Theor. Biol. V. 103. P. 99-111. (Pubitemid 13015255)
16. Eshel I., Motro U., 1981. Kin selection and strong evolutionary stability of mutual help//Theor. Pop. Biol. V. 21. P. 430-439.
17. Emlen J. M., 1970. Age specificity and ecological theory//Ecology. V. 51. P. 588-601.
18. Euler L., 1760. Recherches générales sur la mortalité et la multiplication//Mem. Acad. R. Sci. Bell. Lett. V. 16. P. 144-164.
19. Fisher R. A., 1930. The Genetical Theory of Natural Selection. N. Y.: Clarendon Press. 145 p.
20. Gadgil M., Bossert W. H., 1970. Life historical consequences of natural selection//Amer. Nat. V. 104. P. 1-24.
21. Haldane J. B. S., 1932. The Causes of Evolution. L.: Longmans. 252 p.
22. Hamilton W. D., 1966. The moulding of senescence by natural selection//J. Theor. Biol. V. 12. No. 1. P. 12-45.
23. Hautekeete N.-C., Van Dijk H., Piquot Y., Teriokhin A., 2009. Evolutionary optimisation of life-history traits in the sea beet Beta vulgaris ssp. maritima: a confrontation of modelling and data//Acta Oecologica. V. 35. No. 1. P. 104-116.
24. Hofbauer J., Sigmund K., 1990. Adaptive dynamics and evolutionary stability//Appl. Math. Lett. V. 3. P. 75-79.
25. Holgate P., 1967. Population survival and life history phenomena//J. Theor. Biol. V. 14. P. 1-10.
26. Kisdi E., Meszena G., 1995. Life histories with lottery competition in a stochastic environment: ESSs which do not prevail//Theor. Pop. Biol. P. 191-211.
27. Kozlowski J., 1993. Measuring fitness in life history studies//Trends Ecol. Evol. V. 8. P. 84-85.
28. Kozlowski J., 1999. Adaptation: a life history perspective//Oikos. V. 86. P. 185-194. (Pubitemid 29407493)
29. Kozlowski J., 2006. Why life histories are diverse?//Pol. J. Ecol. V. 54. No. 4. P. 585-605. (Pubitemid 46219318)
30. Kozlowski J., Teriokhin A. T., 1999. Energy allocation between growth and reproduction: Pontryagin maximum principle solution for the case of age-and season dependent mortality//Evol. Ecol. Res. V. 1. P. 423-441.
31. Kozlowski J., Wiegert R. G., 1987. Optimal age and size at maturity in annuals and perennials with determinate growth//Evol. Ecol. V. 1. P. 231-244.
32. Lack D., 1947. Darwin's finches. Cambridge: Cambridge Univ. Press. 204 p.
33. Lack D., 1966. Population Studies of Birds. Oxford: Oxford Univ. Press. 341 p.
34. Lack D., 1968. Ecological Adaptations for Breeding in Birds. L.: Methuen. 409 p.
35. Leon J. A., 1976. Life histories as adaptive strategies//J. Theor. Biol. V. 60. No. 2. P. 301-335.
36. Leslie P. H., 1945. On the use of matrices in certain population mathematics//Biometrika. V. 33. P. 183-212.
37. Leslie P. H., 1948. Some further notes on the use of matrices in population mathematics//Biometrika. V. 35. P. 213-245.
38. Lewontin R. C., 1965. Selection for colonizing ability//The Genetics of Colonizing Species. N. Y.: Acad. Press. P. 79-94.
39. Lotka A. J., 1907. Studies on the mode of growth of material aggregates//Am. J. Sci. V. 24. P. 199-216.
40. Lotka A. J., 1913. A natural population norm//J. Wash. Acad. Sci. V. 3. P. 289-293.
41. Lotka A. J., 1922. The stability of the normal age distribution//Proc. Nat. Acad. Sci. V. 8. P. 339-345.
42. Lotka A. J., 1925. Elements of Physical Biology. Baltimore: Williams and Wilkins. 460 p.
43. Lutz B., 1948. Ontogenetic evolution in frogs//Evolution. V. 2. No. 1. P. 29-39.
44. MacArthur R. H., Wilson E. O., 1967. The Theory of Island Biogeography. Princeton: Princeton Univ. Press. 203 p.
45. Malthus T. R., 1798. An Essay on the Principle of Population, as It Affects the Future Improvement of Society. L.: J. Johnson. 396 p.
46. Mangel M., 1990. Evolutionary optimization and neural network models of behaviour//J. Math. Biol. V. 28. P. 237-256.
47. Maynard Smith J., 1982. Evolution and the Theory of Games. Cambridge: Cambridge Univ. Press. 226 p.
48. Maynard Smith J., Price G. R., 1973. The logic of animal conflict//Nature. V. 246. P. 15-18.
49. Mertz D. B., 1971. Life history phenomena in increasing and decreasing populations//Statistical Ecology. V. 2. Sampling and modeling biological populations and population dynamics. Pennsylvania: Pennsylvania State Univ. Press. P. 361-399.
50. Metz J. A. J., Nisbet R. M., Geritz S. A. H., 1992. How should we define "fitness" for general ecological scenarios?//Trends Ecol. Evol. V. 7. No. 6. P. 198-202. (Pubitemid 23397213)
51. Murdoch W. W., 1966. Population stability and life history phenomena//Amer. Nat. V. 100(910). P. 5-11.
52. Murphy G. I., 1968. Pattern in life history and the environment//Amer. Nat. V. 102. P. 390-404.
53. Mylius S. D., Diekmann O., 1995. On evolutionary stable life histories, optimisation and the need to be specific about density dependence//Oikos. V. 74. P. 218-224. (Pubitemid 3023070)
54. Nowak M., Sigmund K., 1990. The evolution of stochastic strategies in the prisoner's dilemma//Acta Appl. Math. V. 20. P. 247-265.
55. Orton G. L., 1955. Some aspects of ecology and ontogeny in the fishes and amphibians//Amer. Nat. V. 89(847). P. 193-203.
56. Park T., 1939. Analytical population studies in relation to general ecology//Amer. Midland Nat. V. 21. No. 1. P. 235-255.
57. 0 or r. a matter of taste?//J. Evol. Biol. V. 9. P. 511-516.
58. Paul A. A., 1938. Life history studies of North American fresh-water polystomes//J. Parasitol. V. 24. No. 6. P. 489-510.
59. Pearl R., 1922. The Biology of Death. Philadelphia: J. B. Lippincott. 275 p.
60. Pearl R., 1925. The Biology of Population Growth. N. Y.: A. A. Knopf. 260 p.
61. Pearl R., 1927. The growth of population//Quart. Rev. Biol. V. 2. P. 532-548.
62. Pearl R., 1928. The Rate of Living. N. Y.: A. A. Knopf. 185 p.
63. Pianka E. R., 1970. On r-and K-selection//Amer. Nat. V. 104. P. 592-597.
64. Pianka E. R., 1972. R and K-selection or b and d Selection?//Amer. Nat. V. 106. P. 581-588.
65. Ramsay M. A., Dunbrack R. L., 1986. Physiological constraints on life history phenomena: the example of small bear cubs at birth//Amer. Nat. V. 127. No. 6. P. 735-743. (Pubitemid 17251720)
66. Roff D. A., 1992. The Evolution of Life Histories. N. Y.: Chapman and Hall. 535 p.
67. Schaffer W. M., 1974. Selection for optimal life histories: the effects of age structure//Ecology. V. 55. P. 291-303.
68. Smith H. W., 1931. Observations on the African lung-fish, Protopterus aethiopicus, and on evolution from water to land environments//Ecology. V. 12. No. 1. P. 164-181.
69. Stearns S. C., 1976. Life-history tactics: a review of the ideas//Quart. Rev. Biol. V. 51. No. 1. P. 3-47.
70. Stearns S. C., 1977. The evolution of life history traits: a critique of the theory and a review of the data//Annu. Rev. Ecol. Syst. V. 8. P. 145-171.
71. Stearns S. C., 1983. This week's citation classic//Current contents. V. 44. P. 20.
72. Stearns S. C., 1992. The Evolution of Life Histories. Oxford: Oxford Univ. Press. 248 p.
73. Stearns S. C., 2000. Life history evolution: successes, limitations, and prospects//Naturwissenschaften. V. 87. P. 476-486.
74. Stearns S. C., Koella J. C., 1986. The evolution of phenotypic plasticity in life-history traits: predictions of reaction norms for age and size at maturity//Evolution. V. 40. No. 5. P. 893-913.
75. Sturtevant A. H., 1938. Essays on Evolution. II. On the effects of selection on social insects//Quart. Rev. Biol. V. 13. No. 1. P. 74-76.
76. Taylor H. M., Gourley R. S., Lawrence C. E., Kaplan R. S., 1974. Natural selection of life history attributes: an analytical approach//Theor. Pop. Biol. V. 5. No. 1. P. 104-122.
77. Taylor P. D., 1989. Evolutionary stability in one-parameter models under weak selection//Theor. Pop. Biol. V. 36. P. 125-143.
78. Teriokhin A. T., 1998. Evolutionarily optimal age schedule of repair: computer modeling of energy allocation between current and future survival and reproduction//Evol. Ecol. V. 12. P. 291-307. (Pubitemid 28219574)
79. Teriokhin A. T., Budilova E. V., 2008. The impact of different density stresses on the dynamics of two competitive populations//Ecol. Model. V. 212. No 1-2. P. 5-9. (Pubitemid 351215728)
80. Thomas F., Teriokhin A. T., Budilova E. V., Brown S. P., Renaud F., Guegan J. F., 2004. Human birthweight evolution across contrasting environment//J. Evol. Biol. V. 17. P. 542-553. (Pubitemid 38571950)
81. Tienderen P. H., van, Jong G., de, 1986. Sex ratio under the haystack model: polymorphism may occur//J. Theor. Biol. V. 122. P. 69-81.
82. Tinkle D. W., 1969. The concept of reproductive effort and its relation to the evolution of life histories of lizards//Amer. Nat. V. 103. P. 501-516.
83. Tinkle D. W., Wilbur H. M., Tilley S. G., 1970. Evolutionary strategies in lizard reproduction//Evolution. V. 24. No. 1. P. 55-74.
84. Vinegar M. B., 1975. Life history phenomena in two populations of the lizard Sceloporus undulatus in Southwestern New Mexico//Amer. Midland Nat. V. 93, No. 2. P. 388-402.
85. Waxman D., Gavrilets S., 2005. 20 questions on adaptive dynamics//J. Evol. Biol. V. 18. P. 1139-1154. (Pubitemid 41725657)
86. Wilbur H. M., Tinkle D. W., Collins J. P., 1974. Environmental certainty, trophic level, and resource availability in life history evolution//Amer. Nat. V. 108. No. 964. P. 805-817.
87. Williams G. C., 1966. Natural selection, the costs of reproduction, and a refinement of Lack's principle//Amer. Nat. V. 100. P. 687-690.
88. Wright S., 1931. Evolution in Mendelian populations//Genetics. V. 16. P. 97-159.