Evolutionary entropy predicts the outcome of selection: Competition for resources that vary in abundance and diversity

Theoretical Population Biology

Volumn 83, Issue 1, 2013, Pages 39-54

  Demetrius, Lloyd ^a,b   Legendre, Stéphane ^c  

^a HARVARD UNIVERSITY   (United States)

^b MAX PLANCK INSTITUTE FOR MOLECULAR GENETICS   (Germany)

^c ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

Demographic variance; Entropic selection principle; Life history; Reproductive potential

Indexed keywords

ABUNDANCE; COMPETITION (ECOLOGY); DEMOGRAPHIC SURVEY; ENTROPY; GROWTH RATE; LIFE HISTORY TRAIT; MALTHUSIAN THEORY; POPULATION SIZE; SPECIES DIVERSITY; STEADY-STATE EQUILIBRIUM;

ARTICLE; EVOLUTION; GENETIC SELECTION; THEORETICAL MODEL;

BIOLOGICAL EVOLUTION; MODELS, THEORETICAL; SELECTION, GENETIC;

EID: 84870201981     PISSN: 00405809     EISSN: 10960325     Source Type: Journal    
DOI: 10.1016/j.tpb.2012.10.004     Document Type: Article

References (39)

1. Charlesworth B. The effect of background selection against deleterious mutations on weakly selected, linked variants. Genet. Res. 1994, 63:213-227.
2. Charlesworth B., Williamson J.A. The probability of survival of a mutant gene in an age-structured population and implication for the evolution of life-histories. Genet. Res. 1975, 26:1-10.
3. Crow J., Kimura M. An Introduction to Population Genetic Theory 1970, Harper and Row, New York.
4. Demetrius L. Demographic parameters and natural selection. Proc. Natl. Acad. Sci. USA 1974, 71:4645-4647.
5. Demetrius L. Statistical mechanics and population biology. J. Stat. Phys. 1983, 30:709-753.
6. Demetrius L. Directionality principles in thermodynamics and evolution. Proc. Natl. Acad. Sci. USA 1997, 94:3491-3498.
7. Demetrius L., Gundlach M. Evolutionary dynamics in random environments. Stochastic Dynamics 1999, 371-394. Springer-Verlag, New York. H. Crauel, M. Gundlach (Eds.).
8. Demetrius L., Gundlach M., Ochs G. Complexity and demographic stability in population models. Theor. Popul. Biol. 2004, 65:211-225.
9. Demetrius L., Legendre S., Harremöes P. Evolutionary entropy: a predictor of body size, metabolic rate and maximal life span. Bull. Math. Biol. 2009, 71:800-818.
10. Demetrius L., Ziehe M. Darwinian fitness. Theor. Popul. Biol. 2007, 72:323-345.
11. Dieckmann U., Ferrière R. Adaptive dynamics and evolving biodiversity. Evolutionary Conservation Biology 2004, 188-224. Cambridge Univ. Press. R. Ferrière, U. Dieckmann, D. Couvet (Eds.).
12. Ewens W. Mathematical Population Genetics 2004, Springer-Verlag, New York.
13. Fernebro J., et al. The influence of in vitro fitness defects on pneumococcal ability to colonize and to cause invasive disease. BMC Microbiol. 2008, 8:65.
14. Fisher R.A. The Genetical Theory of Natural Selection 1930, Oxford Univ. Press, London.
15. Frank P.W., Boll C.D., Kelly R.W. Vital statistics of laboratory cultures of Daphnia pulex DeGeer as related to density. Physiol. Zool. 1957, 30:287-305.
16. Gillespie J.H. Natural selection for within generation variance in offspring number. Genetics 1974, 76:601-606.
17. Hamilton W.D. The genetical evolution of social behaviour. I. J. Theoret. Biol. 1964, 7:1-16.
18. Hamilton W.D. The moulding of senescence by natural selection. J. Theoret. Biol. 1966, 12:12-45.
19. Houston A.I., McNamara J.M. Models of Adaptive Behavior 1999, Cambridge Univ. Press.
20. Kisdi E., Geritz S.A.H. Adaptive dynamics in allele space: evolution of genetic polymorphism by small mutations in a heterogeneous environment. Evolution 1999, 53:993-1008.
21. Kowald A., Demetrius L. Directionality theory: a computational study of an entropic principle in evolutionary processes. Proc. R. Soc. Lond. Ser. B 2005, 272:741-749.
22. Lawton B., Brown W.R. The population and community ecology of invading insects. Phil. Trans. R. Soc. B 1986, 314:607-617.
23. Lehmann L., Keller L. The evolution of cooperation and altruism-a general framework and a classification of models. J. Evol. Biol. 2006, 19:1365-1376.
24. Leturque H., Rousset F. Dispersal, kin competition, and the ideal free distribution in a spatially heterogeneous population. Theor. Popul. Biol. 2002, 62:169-180.
25. Levins R., Lewontin R. The Dialectal Biologist 1985, Harvard University Press.
26. Lewontin R.C. Organism and environment. Learning, Development and Culture 1982, 151-170. John Wiley and Sons. H. Plotkin (Ed.).
27. MacArthur R.H. Some generalized theorems of natural selection. Proc. Natl. Acad. Sci. USA 1962, 48:1893-1897.
28. May R.M., McClean A.R., Grupta S. What characterizes a successful invader?. Phil. Trans. R. Soc. B 2001, 355:901-910.
29. Metz J.A.J., Nisbet R.M., Geritz S.A.H. How should we define 'fitness' for general ecological scenarios?. Trends Ecol. Evol. 1992, 7:198-202.
30. Rand D.A., Wilson H.B., McGlade J.M. Dynamics and evolution: evolutionary stable attractors, invasion exponents and phenotype dynamics. Phil. Trans. R. Soc. B 1994, 343:261-283.
31. Raunkiær C. The Life Forms of Plants and Statistical Plant Geography 1934, Oxford University Press, Oxford.
32. Ricci C.N. Life histories of some specie of Rotifera Bdelloidea. Hydrobiologia 1983, 104:175-180.
33. Roff D.A. The Evolution of Life Histories: Theory and Analysis 1992, Chapman and Hall, New York.
34. Rousset F., Ronce O. Inclusive fitness for traits affecting metapopulation demography. Theor. Popul. Biol. 2004, 65:127-142.
35. Schmalhausen I.I. Factors of Evolution 1949, Blakiston, Philadelphia.
36. Stearns S. The Evolution of Life Histories 1992, Oxford Univ. Press.
37. Thomas-Orillard M., Legendre S. Virus C de la Drosophile et dynamique d'une population hÔte. C. R. Acad. Sci. Paris 1996, 319:615-621.
38. Wright S. The differential equation for the distribution of gene frequency. Proc. Natl. Acad. Sci. USA 1945, 31:382-389.
39. Ziehe M., Demetrius L. Directionality theory: an empirical study of an entropic principle in life-history evolution. Proc. R. Soc. Lond. Ser. B 2005, 272:1185-1194.