Philosophy of Biology

(Tuis.) #1

332 Margaret Morrison


was, among other things, complex mathematical frameworks capable of showing
that selection operated in Mendelian populations. Fisher introduced new math-
ematical methods (stochastic models) to model the change in population gene
frequencies as a random process evolving in time. He treated the survival of indi-
vidual genes by means of a branching process analysed by functional interation and
then set up a chain-binomial model and analysed it using a diffusion approxima-
tion involving partial differential equations [Edwards, 1994]. Branching processes
were used to calculate the survival probability of a new mutant. Sewall Wright
introduced the method of path analysis as a way of determining various causal
factors involved in the evolution of populations. While debates about the merits
of Fisher’s vs. Wright’s account of the evolutionary process continue today, dis-
agreements regarding those details in no way undermines the significance of their
achievement and the role that population genetics and its methods have come to
play in understanding fundamental aspects of the natural world.


BIBLIOGRAPHY
[Bateson, 1894]W. Bateson.Materials for the Study of Variation. London: Macmillan, 1894.
[Bateson, 1897]W. Bateson. Progress in the study of variation, I.Science Progress, 1, 1897.
[Bateson, 1901]W. Bateson. Heredity, differentiation and other conceptions of biology: a con-
sideration of Professor Karl Pearson’s paper “On the Principle of Homotyposis”.Proceedings
of the Royal Society, 69: 193–205, 1901.
[Castle, 1903a] W. E. Castle. Mendel’s laws of heredity.Proceedings of the American Academy
of Arts and Sciences, 38: 535–48, 1903a.
[Castle, 1903b]W. E. Castle. The laws of heredity of Galton and Mendel, and some laws gov-
erning race and improvement by selection.Proceedings of the American Academy of Arts and
Sciences, 39: 223–43, 1903b.
[Darwin, 1859]C. Darwin.On the Origin of Species by Means of Natural Selection, or the
Preservation of Favoured Races in the Struggle for Life, London: Murray, 1859. Facsimile,
Cambridge: MA: Harvard Press, 1964.
[Edwards, 1994]A. W. F. Edwards. The fundamental theorem of natural selection.Biological
Review, 69: 443–474, 1994.
[Ewens, 2004] W. Ewens.Mathematical Population Genetics, 1. Theoretical Introduction.New
York: Springer, 2004.
[Fisher, 1911]R. A. Fisher. Heredity, comparing the methods of biometry and Mendelism. Paper
read to Cambridge University Eugenics Society. Reprinted in Norton and Pearson [1976], pages
155–62, 1911.
[Fisher, 1918]R. A. Fisher. The correlation between relatives on the supposition of Mendelian
inheritance.Transactions of the Royal Society of Edinburgh, 52: 399–433, 1918.
[Fisher, 1922]R. A. Fisher. On the dominance ratio.Proceedings of the Royal Society of Edin-
burgh, 42: 321–41, 1922.
[Fisher, 1924]R. A. Fisher. The biometrical study of heredity.Eugenics Review, 16: 189–210,
1924.
[Fisher, 1930]R. A. Fisher.The Genetical Theory of Natural Selection. Oxford: Clarendon
Press. 2ndedition [1958], New York: Dover, 1930.
[Fisher and Stock, 1915]R. A. Fisher and C. S. Stock. Cuenot on pre-adaptation. A criticism.
Eugenics Review, 7: 46–61, 1915.
[Galton, 1865] F. Galton. Hereditary talent and character.Macmillan’s Magazine, 12: 157–66
and 318–27, 1865.
[Galton, 1869] F. Galton.Hereditary Genius. London, Macmillan, 1869.
[Galton, 1885] F. Galton. Regression towards mediocrity in hereditary stature.Journal of the
Anthropological Institute, 15: 246–63, 1885.
[Galton, 1889] F. Galton. Natural Inheritance, London: Macmillan, 1889.
Free download pdf