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Natural selection. IV. The Price equation*

FRANK, S. A.·2012·Journal of Evolutionary Biology

Abstract

The Price equation partitions total evolutionary change into two components. The first component provides an abstract expression of natural selection. The second component subsumes all other evolutionary processes, including changes during transmission. The natural selection component is often used in applications. Those applications attract widespread interest for their simplicity of expression and ease of interpretation. Those same applications attract widespread criticism by dropping the second component of evolutionary change and by leaving unspecified the detailed assumptions needed for a complete study of dynamics. Controversies over approximation and dynamics have nothing to do with the Price equation itself, which is simply a mathematical equivalence relation for total evolutionary change expressed in an alternative form. Disagreements about approach have to do with the tension between the relative valuation of abstract versus concrete analyses. The Price equation's greatest value has been on the abstract side, particularly the invariance relations that illuminate the understanding of natural selection. Those abstract insights lay the foundation for applications in terms of kin selection, information theory interpretations of natural selection and partitions of causes by path analysis. I discuss recent critiques of the Price equation by Nowak and van Veelen.

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Research works printed but not linked: 76

  1. 10.1111/j.1420-9101.2009.01726.x · DOI
  2. 10.14441/eier.1.127 · DOI
  3. 10.1126/science.177.4047.393 · DOI · Paper page
  4. 10.1111/j.1420-9101.2008.01550.x · DOI · Paper page
  5. 10.1287/mnsc.2.3.197 · DOI · Paper page
  6. Charlesworth B., 2010, Elements of Evolutionary Genetics
  7. Coplien J.O., 1998, To iterate is human, to recurse, divine, C++ Rep., 10, 43
  8. 10.1006/tpbi.1995.1025 · DOI · Paper page
  9. 10.1086/283060 · DOI
  10. Day T., 2006, Disease Evolution: Models, Concepts, and Data Analysis, 23, 10.1090/dimacs/071/02 · doi:10.1090/dimacs/071/02
  11. 10.1016/0040-5809(89)90028-2 · DOI · Paper page
  12. 10.1016/0040-5809(92)90019-P · DOI
  13. Falconer D.S., 1996, Introduction to Quantitative Genetics
  14. Feynman R.P., 1967, The Character of Physical Law
  15. 10.1890/0012-9658(2006)87[1445:SOEFDD]2.0.CO;2 · DOI · Paper page
  16. 10.1111/j.1469-1809.1941.tb02272.x · DOI · Paper page
  17. 10.1890/0012-9658(2006)87[2687:UTPETP]2.0.CO;2 · DOI
  18. 10.1111/j.1600-0706.2011.19656.x · DOI
  19. 10.1006/jtbi.1995.0148 · DOI · Paper page
  20. 10.1111/j.1558-5646.1997.tb05096.x · DOI · Paper page
  21. 10.1515/9780691206820 · DOI · Paper page
  22. 10.1111/j.1420-9101.2008.01647.x · DOI
  23. 10.1111/j.1420-9101.2010.02209.x · doi:10.1111/j.1420-9101.2010.02209.x
  24. 10.1111/j.1420-9101.2011.02431.x · DOI
  25. Frank S.A., 2012, The Adaptive Landscape in Evolutionary Biology
  26. 10.1017/S0016672300025350 · DOI
  27. 10.1016/0169-5347(92)90248-A · DOI · Paper page
  28. 10.3390/e12030289 · DOI
  29. 10.1111/j.1420-9101.2010.02204.x · DOI
  30. 10.1017/CBO9780511616907 · DOI · Paper page
  31. 10.1006/jtbi.2000.2199 · DOI
  32. 10.1086/510602 · DOI
  33. 10.1016/j.cub.2008.01.005 · DOI
  34. Grafen A., 1984, Behavioural ecology, 62
  35. 10.1098/rspb.1999.0708 · DOI · Paper page
  36. 10.1006/jtbi.2002.3015 · DOI
  37. 10.1111/j.1420-9101.2007.01321.x · DOI
  38. 10.1038/2281218a0 · DOI · Paper page
  39. Hamilton W.D., 1975, Biosocial Anthropology, 133
  40. Hardy G.H., 1967, A Mathematician's Apology
  41. Harman O.S., 2010, The Price of Altruism
  42. Hartl D.L., 2006, Principles of Population Genetics
  43. 10.1086/284732 · DOI · Paper page
  44. 10.1086/658408 · DOI · Paper page
  45. Kahneman D., 2011, Thinking, Fast and Slow
  46. 10.1111/j.1558-5646.2008.00570.x · DOI
  47. Lewontin R.C., 1974, The Genetic Basis of Evolutionary Change
  48. 10.1038/214505a0 · DOI
  49. Li C.C., 1975, Path Analysis
  50. Lynch M., 1998, Genetics and Analysis of Quantitative Traits
  51. Mazur B., 2008, Proof and Other Dilemmas: Mathematics and Philosophy, 221
  52. 10.1086/286012 · DOI
  53. 10.1086/286047 · DOI
  54. Nowak M.A., 2011, SuperCooperators: Altruism, Evolution, and Why We Need Each Other to Succeed
  55. 10.1038/nature09205 · DOI · Paper page
  56. 10.1093/acprof:oso/9780199267972.001.0001 · DOI · Paper page
  57. 10.1016/S0022-5193(02)93112-7 · DOI
  58. 10.1038/227520a0 · DOI · Paper page
  59. 10.1111/j.1469-1809.1957.tb01874.x · DOI · Paper page
  60. 10.1111/j.1469-1809.1972.tb00764.x · DOI · Paper page
  61. 10.1006/jtbi.1995.0149 · DOI
  62. 10.1111/j.1558-5646.1992.tb02045.x · DOI · Paper page
  63. 10.1086/285343 · DOI · Paper page
  64. Rice S.H., 2004, Evolutionary Theory: Mathematical and Conceptual Foundations
  65. 10.1186/1471-2148-8-262 · DOI
  66. 10.1017/S0003356100037752 · DOI · Paper page
  67. Russell B., 1922, Introduction to Tractatus Logico‐Philosophicus by Ludwig Wittgenstein
  68. Russell B., 1958, The ABC of Relativity
  69. Schwartz J., 2000, Death of an altruist, Lingua Franca, 10, 51
  70. 10.1016/j.jtbi.2005.04.026 · DOI
  71. 10.1016/j.jtbi.2010.11.011 · doi:10.1016/j.jtbi.2010.11.011
  72. 10.1038/467661d · doi:10.1038/467661d
  73. 10.1016/j.jtbi.2011.07.025 · DOI
  74. 10.1086/284328 · DOI · Paper page
  75. Weyl H., 1983, Symmetry
  76. 10.1016/S0169-5347(97)01233-0 · DOI · Paper page

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Metadata

Authors
FRANK, S. A.
Venue
Journal of Evolutionary Biology
Published
2012-04-05
Volume
25
Issue
6
Pages
1002-1019
ISSN
  • 1010-061X (ISSN-L)
  • 1420-9101
OpenAlex
W3123764764
Cited by
187
References
2
FWCI
4.96
Type
journal article
Language
en
Open access
closed

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FRANK, S. A. (2012). Natural selection. IV. The Price equation*. Journal of Evolutionary Biology. https://doi.org/10.1111/j.1420-9101.2012.02498.x

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