Natural selection maximizes Fisher information

Journal of Evolutionary Biology

Volumn 22, Issue 2, 2009, Pages 231-244

  Frank, S A ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Evolution; Fisher's fundamental theorem; Information theory; Population genetics

Indexed keywords

EVOLUTIONARY BIOLOGY; GENOME; NATURAL SELECTION; POPULATION GENETICS;

ANIMAL; BIOLOGICAL MODEL; EVOLUTION; GENETIC SELECTION; GENETICS; HEREDITY; REVIEW;

ANIMALS; EVOLUTION; HEREDITY; MODELS, BIOLOGICAL; SELECTION (GENETICS);

EID: 58549116944     PISSN: 1010061X     EISSN: 14209101     Source Type: Journal    
DOI: 10.1111/j.1420-9101.2008.01647.x     Document Type: Review

References (25)

1. Amari, S. Nagaoka, H. 2000. Methods of Information Geometry. American Mathematical Society, Providence, RI.
2. Ben-Naim, A. 2008. A Farewell to Entropy: Statistical Thermodynamics based on Information. World Scientific Publishing, Hackensack, NJ.
3. Brillouin, L. 1956. Science and Information Theory. Academic Press, New York.
4. Crow, J.F. Kimura, M. 1970. An Introduction to Population Genetics Theory. Harper and Row, New York.
5. Crow, J.F. Nagylaki, T. 1976. Rate of change of a character correlated with fitness. Am. Nat. 110 : 207 213.
6. Edwards, A.W.F. 2002. The fundamental theorem of natural selection. Theor. Popul. Biol. 61 : 335 337.
7. Ewens, W.J. 1989. An interpretation and proof of the fundamental theorem of natural selection. Theor. Popul. Biol. 36 : 167 180.
8. Ewens, W.J. 1992. An optimizing principle of natural selection in evolutionary population genetics. Theor. Popul. Biol. 42 : 333 346.
9. Fisher, R.A. 1922. On the mathematical foundations of theoretical statistics. Philos. Trans. R. Soc. A 222 : 309 368.
10. Fisher, R.A. 1958. The Genetical Theory of Natural Selection, 2nd edn. Dover Publications, New York.
11. Frank, S.A. 1995. George Price's contributions to evolutionary genetics. J. Theor. Biol. 175 : 373 388.
12. Frank, S.A. 1997. The Price equation, Fisher's fundamental theorem, kin selection, and causal analysis. Evolution 51 : 1712 1729.
13. Frank, S.A. Slatkin, M. 1992. Fisher's fundamental theorem of natural selection. Trends Ecol. Evol. 7 : 92 95.
14. Frieden, B.R. 2004. Science from Fisher Information: A Unification. Cambridge University Press, Cambridge, UK.
15. Frieden, B.R., Plastino, A. Shoffer, B.H. 2001. Population genetics from an information perspective. J. Theor. Biol. 208 : 49 64.
16. Krakauer, D.C., Page, K. Erwin, D. 2008. Diversity, dilemmas and monopolies of niche construction. Am. Nat. (in press).
17. Martyushev, L.M. Seleznev, V.D. 2006. Maximum entropy production principle in physics, chemistry and biology. Phys. Rep. 426 : 1 45.
18. Odling-Smee, J., Laland, K. Feldman, M. 2003. Niche Construction: The Neglected Process in Evolution. Princeton University Press, Princeton, NJ.
19. Price, G.R. 1970. Selection and covariance. Nature 227 : 520 521.
20. Price, G.R. 1972a. Extension of covariance selection mathematics. Ann. Hum. Genet. 35 : 485 490.
21. Price, G.R. 1972b. Fisher's 'fundamental theorem' made clear. Ann. Hum. Gen. 36 : 129 140.
22. Price, G.R. 1995. The nature of selection. (Written circa 1971, published posthumously). J. Theor. Biol. 175 : 389 396.
23. Robertson, A. 1966. A mathematical model of the culling process in dairy cattle. Anim. Prod. 8 : 93 108.
24. Tribus, M. 1961. Thermostatics and Thermodynamics: An Introduction to Energy, Information and States of Matter, with Engineering Applications. Van Nostrand, New York.
25. Wheeler, J.A. 1992. Recent thinking about the nature of the physical world: it from bit. Ann. N. Y. Acad. Sci. 655 : 349 364.