Darwinian fitness

Theoretical Population Biology

Volumn 72, Issue 3, 2007, Pages 323-345

  Demetrius, Lloyd ^a,b   Ziehe, Martin ^c  

^a HARVARD UNIVERSITY   (United States)

^b MAX PLANCK INSTITUTE FOR MOLECULAR GENETICS   (Germany)

^c UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

Darwinian fitness; Directionality theory; Evolutionary entropy; Finite size; Malthusian parameter

Indexed keywords

COMPETITION (ECOLOGY); DIFFUSION; EVOLUTIONARY THEORY; FITNESS; GROWTH RATE; NUMERICAL MODEL; POPULATION GROWTH; RESIDENT POPULATION; RESOURCE AVAILABILITY;

ARTICLE; BIOLOGICAL MODEL; BIOLOGY; ENTROPY; GENE FREQUENCY; GENETIC VARIABILITY; HUMAN; POPULATION DYNAMICS; POPULATION GENETICS; POPULATION GROWTH;

COMPUTATIONAL BIOLOGY; ENTROPY; GENE FREQUENCY; GENETICS, POPULATION; HUMANS; MODELS, GENETIC; POPULATION DYNAMICS; POPULATION GROWTH; VARIATION (GENETICS);

EID: 34848824975     PISSN: 00405809     EISSN: 10960325     Source Type: Journal    
DOI: 10.1016/j.tpb.2007.05.004     Document Type: Article

References (68)

1. Arnold L., Demetrius L., and Gundlach M. Evolutionary formalism for products of random matrices. Ann. Appl. Probab. 4 (1994) 859-901
2. Birch L. The intrinsic rate of increase of an insect population. J. Anim. Ecol. 17 (1948) 15-26
3. Braeckman B.P., Demetrius L., and Vanfleteren J.R. The dietary restriction effect in C. elegans and humans: is the worm a one-millimeter human?. Biogerontology 7 (2006) 127-133
4. Brown J.H., Marquet P.A., and Taper M.L. Evolution of body size: consequences of an energetic definition of fitness. Am. Nat. 142 (1993) 573-584
5. Carey J., and Judge D.S. Longevity Records: Life Span of Mammals, Birds, Reptiles, Amphibians and Fishes vol. 8 (2000), Odense University Press, Odense, Denmark
6. Champagnat N., Ferrière R., and Ben Arous G. The canonical equation of adaptive dynamics: a mathematical view. Selection 2 (2001) 73-83
7. Charlesworth B. Evolution in Age-structured Populations (1994), Cambridge University Press, Cambridge
8. Charlesworth B., and Williamson J. The probability of survival of a mutant gene in an age-structured population. Genet. Res. 26 (1975) 1-10
9. Coale A.J. The history of the human population. Sci. Am. 231 (1974) 40-51
10. Deevey Jr. E.S. Life tables for natural populations of animals. Q. Rev. Biol. 22 (1947) 283-314
11. Demetrius L. Demographic parameters and natural selection. Proc. Natl. Acad. Sci. U.S.A. 71 (1974) 4645-4647
12. Demetrius L. Natural selection age-structured populations. Genetics 79 (1975) 535-544
13. Demetrius L. Statistical mechanics and population biology. J. Stat. Phys. 30 (1983) 709-753
14. Demetrius L. Growth rate, population entropy and evolutionary dynamics. Theor. Popul. Biol. 41 (1992) 208-226
15. Demetrius L. Directionality principles in thermodynamics and evolution. Proc. Natl. Acad. Sci. U.S.A. 94 (1997) 3491-3498
16. Demetrius L. Directionality theory and the evolution of body size. Proc. R. Soc. London Ser. B 267 (2000) 2385-2391
17. Demetrius L. Mortality plateaus and directionality theory. Proc. R. Soc. London Ser. B 268 (2001) 2029-2037
18. Demetrius L. Caloric restriction, metabolic rate and entropy. J. Gerontol. Biol. Sci. 59 A (2003) 902-915
19. Demetrius L., and Gundlach M. Evolutionary dynamics in random environments. In: Crauel H., and Gundlach M. (Eds). Random Dynamical Systems (1999), Springer, Berlin 371-394
20. Demetrius L., and Gundlach M. Game theory and evolution: finite size and absolute fitness measures. Math. Biosci. 168 (2000) 9-38
21. Demetrius L., and Ziehe M. The measurement of Darwinian fitness in human populations. Proc. R. Soc. London Ser. B 222 (1984) 33-50
22. Demetrius L., Gundlach M., and Ochs G. Complexity and demographic stability. Theor. Popul. Biol. 65 (2004) 211-225
23. Demetrius, L., Gundlach, M., Ochs, G., 2007. Invasion dynamics in structured populations. Physica A, Submitted.
24. Demongeot J., and Demetrius L. Entropie et valeur adaptative. Une etude empirique: la France de 1850 à 1980. Population 1 (1989) 109-134
25. Emlen J.M. Population biology (2004), MacMillan, New York
26. Ferrière R., and Gatto M. Lyapunov exponents and the mathematics of invasion in oscillatory or chaotic populations. Theor. Popul. Biol. 48 (1995) 126-171
27. In: Ferrière R., Diekmann U., and Couvet D. (Eds). Evolutionary Conservation Biology (2004), Cambridge University Press, Cambridge
28. Fisher R.A. The Genetical Theory of Natural Selection (1930), Oxford University Press, London
29. Geist V. On delayed social and physical maturation in immature sheep. Can. J. Zool. 46 (1968) 899-904
30. Gillespie J.H. Natural selection for within generation variance in offspring number. Genetics 76 (1974) 601-606
31. Gillespie J.H. Natural selection for within generation variance in offspring number. II. Discrete haploid models. Genetics 81 (1975) 403-413
32. Hamilton W.D. The moulding of senescence by natural selection. J. Theor. Biol. 12 (1966) 12-45
33. Karlin S., and McGregor J. On some stochastic models in population genetics. In: Gurland J. (Ed). Stochastic Models in Medicine and Biology (1964), University of Wisconsis Press, Medison, Wisconsin 245-278
34. Kimura M. Solution of a process of random genetic drift with a continuous model. Proc. Natl. Acad. Sci. U.S.A. 41 (1955) 141-150
35. Kimura M. Some problems of stochastic processes in genetics. Ann. Math. Stat. 28 (1957) 882-901
36. Kimura M. On the probability of fixation of mutant genes in a population. Genetics 47 (1962) 713-719
37. Kowald A., and Demetrius L. Directionality theory: a computational study of an entropic principle in evolutionary processes. Proc. R. Soc. Ser. B 272 (2005) 741-749
38. Lande R., and Orzack S.H. Extinction dynamics of age-structured populations in a fluctuating environment. Proc. Natl. Acad. Sci. 85 (1988) 7418-7421
39. Lawton B., and Brown W.R. The population and community ecology of invading insects. Philos. Trans. R. Soc. Ser B 314 (1986) 607-617
40. Leslie P.H. On the use of matrices in certain population mathematics. Biometrika 33 (1945) 183-212
41. Leslie P.H., and Park T. The intrinsic rate of natural increase of Tribolium castaneum Herbst. Ecology 30 (1949) 469-479
42. Lotka A.J. Contribution to the energetics of evolution. Proc. Natl. Acad. Sci. 8 (1922) 147-151
43. Lotka A.J. Elements of physical biology (1925), Williams and Wilkins, Baltimore, Maryland, USA
44. Lowe V.P.W. Population dynamics of the red deer (Cervus elaphus) on Rhum. J. Anim. Ecol. 38 (1969) 423-458
45. Metz J.A.J., Gerlitz S.A.H., Meszena G., Jacobs F.J.A., and Heerwaarden J.-S. Adaptive dynamics: a geometrical study of the consequences of nearly faithful reproduction. In: van Strien S.J., and Verdyn-Lunal S.M. (Eds). Stochastic and Spatial Structures of Dynamical Systems (1996), Elsevier, North-Holland, Amsterdam 183-231
46. Niel C., and Lebreton J.-D. Using demographic invariants to detect overharvested bird populations from incomplete data. Conserv. Biol. 19 (2005) 826-835
47. Olshansky S.T., and Rattan S. What determines longevity: metabolic rate or stability?. Discovery Med. 5 (2005) 359-362
48. Parsons P.A. Environments and evolution: interactions between stress, resource inadequacy and energetic efficiency. Biol. Rev. 80 (2005) 589-610
49. Partridge L., and Barton N.H. On measuring the rate of aging. Proc. R. Soc. Ser. B 263 (1996) 1365-1371
50. Pianka E.R. Evolutionary Ecology (2000), Harper and Collings
51. Pollak E. A stochastic treatment of rare genes in large populations with overlapping generations. Theor. Popul. Biol. 10 (1976) 109-126
52. Promislow D.E.L., and Harvey P.H. Living fast and dying young: a comparative analysis of life-history variation among mammals. J. Zool. London 220 (1990) 417-437
53. Proulx S.R. The E.S.S under spatial variation with applications to sex allocation. Theor. Popul. Biol. 58 (2000) 33-47
54. Roff D.A. The Evolution of Life-Histories: Data and Analysis (1992), Chapman & Hall, London
55. Rose M.R., and Mueller L. Aging and immortality. Philos. Trans. R. Soc. London Ser. B 355 (2000) 1637-1642
56. Shpak M. Evolution of variance in offspring number: the effects of population size and migration. Theory Biosci. 124 (2005) 65-85
57. Shpak, M., Proulx, S.R., 2006. The role of life cycle and migration in selection for variance in offspring number. Bull. Math. Biol., DOI 10.1007/s11538-006-9164-y.
58. Slade N.A., and Balph D.F. Population ecology of Uinta ground squirrels. Ecology 53 (1974) 989-1003
59. Spinage C.A. Population dynamics of the defassa waterbuck in the Queen Elizabeth Park, Uganda. J. Anim. Ecol. 39 (1970) 51-78
60. Spinney L. Gerontology: eat your cake and have it. Nature 441 (2006) 807-809
61. Stearns S.C. The Evolution of Life-histories (1992), Oxford University Press, Oxford
62. Waddington C.H. The Strategy of the Genes (1959), MacMillan, New York
63. Watson R.M. Generation time and intrinsic rates of natural increase in wild beasts. J. Reprod. Fertil. 22 (1970) 557-561
64. Watt W.B. Power and efficiency as indexes of fitness in metabolic organization. Am. Nat. 127 (1986) 629-653
65. Wright S. Evolution in Mendelian populations. Genetics 16 (1931) 97-159
66. Wright S. Statistical genetics and evolution. Bull. Am. Math. Soc. 48 (1942) 223-246
67. Wright S. The differential equation of the distribution of gene frequencies. Proc. Natl. Acad. Sci. U.S.A. 31 (1945) 382-387
68. Ziehe M., and Demetrius L. Directionality theory: an empirical study of an entropic principle in life-history evolution. Proc. R. Soc. Ser. B. 272 (2005) 1185-1194