Abstract
In the 1960s molecular population geneticists used Monte Carlo experiments to evaluate particular diffusion equation models. In this paper I examine the nature of this comparative evaluation and argue for three claims: first, Monte Carlo experiments are genuine experiments: second, Monte Carlo experiments can provide an important meansfor evaluating the adequacy of highly idealized theoretical models; and, third, the evaluation of the computational adequacy of a diffusion model with Monte Carlo experiments is significantlydifferent from the evaluation of the emperical adequacy of the same diffusion model.
Similar content being viewed by others
References
Cook, T. and Campbell, D.: 1979,Quasi-Experimentation: Design and Analysis Issues for Field Settings, Houghton Mifflin Company, Boston.
Crow, J.: 1989, ‘Twenty-Five Years Ago in Genetics: The Infinte Allele Model’,Genetics 121, 631–634.
Dietrich, M.: 1994, ‘The Origins of the Neutral Theoryof Molecular Evolution’,Journal of the History of Biology 27, 21–59.
Ewens, W.: 1963, ‘Numerical Results and Diffusion Approximations in a Genetic Process’,Biometrika 50, 241–250.
Ewens, W.: 1964a, ‘Correcting Diffusion Approximation in Finite Genetic Models’, Technical Report 4, Department of Mathematics, Stanford University, Stanford.
Ewens, W.: 1964b, ‘The Maintenance of Alleles by Mutation’,Genetics 50, 891–898.
Ewens, W.: 1964c, ‘The Pseudo-transient Distribution and Its Uses in Genetics’,Journal of Applied Probability 1, 141–156.
Ewens, W.: 1965, ‘The Adequacy of the Diffusion Approximation to Certain Distributions in Genetics’,Biometrics 21, 386–394.
Ewens, W. and Ewens, P.: 1966, ‘The Maintenance of Alleles by Mutation — Monte Carlo Results for Normal and Self-Sterility Populations’,Heredity 21, 371–378.
Feller, W.: 1951, ‘Diffusion Processes in Genetics’, in J. Neyman (ed.),Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, pp. 227–246.
Fisher, R.A.: 1922, ‘On the Dominane Ratio’,Proceedings of the Royal Society of Edinburgh 42, 321–341.
Gale, J.: 1990,Theoretical Population Genetics, Unwin Hyman, London.
Galison, P.: 1994, ‘Artificial Reality’, in P. Galison and P. Stump (eds.),The Disunity of Science; Boundaries, Contexts, and Power, Stanford University Press, Stanford.
Gillespie, J.: 1989, ‘When Not To Use Diffusion Processes in Population Genetics’, in Marcus Feldman (ed.),Mathematical Evolutionary Theory, Princeton University Press, Princeton, pp. 57–70.
Glymour, C.: 1980,Theory and Evidence, Princeton University Press, Princeton.
Haldane, J.B.S.: 1933,Science and Human Life, Harper and Brothers Publishers, New York.
Hammersley, J. and Handscomb, D.: 1964,Monte Carlo Methods, Chapman and Hall, New York.
Hill, W. and Robertson, A.: 1966, ‘The Effect of Linkage on Limits to Artificial Selection’,Genetical Research 8, 269–294.
Johnson, G.: 1972, ‘Evidence that Enzyme Polymorphismsare Not Selectively Neutral’,Nature, New Biology 237, 170–171.
Karlin, S. and McGregor, J.: 1964, ‘On Some Stochastic Models in Genetics’, in J. Gurland (ed.),Stochastic Models in Medicine and Biology, The University of Wisconsin Press, Madison, pp. 245–279.
Kimura, M.: 1955, ‘Stochastic Processesnd Distributionof Gene Frequencies Under Natural Selection’,Cold Spring Harbor Symposium on Quantitative Biology 20, 33–53.
Kimura, M.: 1964, ‘Diffusion Models in Population Genetics’,Journal of Applied Probability 1, 177–232.
Kimura, M.: 1968a, ‘Evolutionary Rate at the MolecularLevel’,Nature 217, 624–626.
Kimura, M.: 1968b, ‘Genetic Variability Maintained in a Finite Population Due to Mutational Production of Neutral and Nearly Neutral Isoalleles’,Genetical Research 11, 247–269.
Kimura, M.: 1985, ‘Diffusion Models in Population Genetics with Special Reference to Fixation Time of Molecular Mutants Under Mutational Pressure’, in T. Ohta and K. Aoki (eds.),Population Genetics and Molecular Evolution, Japan Scientific Society Press, Tokyo, pp. 19–39.
Kimura, M. and Crow, J.: 1963, ‘The Measurement of Effective Population Number’,Evolution 17, 279–288.
Kimura, M. and Crow, J.: 1964, ‘The Numberof Alleles That Can Be Maintained in a Finite Population’,Genetics 49, 725–738.
Kirby, G. and Halliday, R.: 1973, ‘AnotherView of Neutral Alleles in Natural Populations’,Nature 241, 463–464.
Levin, B.: 1969, ‘Simulation of Genetic Systems’, in Newton Morton (ed.),Computer Applications in Genetics, University of Hawaii Press, Honolulu, pp. 38–46.
Lloyd, E.: 1988,The Structure and Confirmation of Evolutionary Theory, Greenwood Press, Westport.
Ohta, T. and Kimura, M.: 1974, ‘SimulationStudies on Electrophoretically Detectable Genetic Variability in a Finite Population’,Genetics 76, 615–624.
Schull, W.: 1969, ‘Discussion on Monte Carlo Simulation’, in Newton Morton (ed.),Computer Applications in Genetics, University of Hawaii Press, Honolulu, p. 47.
Watterson, G.: 1962, ‘Some Theoretical Aspects of Diffusion Theory in Population Genetics’,Annals of Mathematical Statistics 33, 939–957.
Yamazaki, T. and Maruyama, T.: 1973, ‘Evidence that Enzyme Polymorphisms are Selectively Neutral’,Nature, New Biology 245, 140–141.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dietrich, M.R. Monte Carlo experiments and the defense of diffusion models in molecular population genetics. Biol Philos 11, 339–356 (1996). https://doi.org/10.1007/BF00128786
Issue Date:
DOI: https://doi.org/10.1007/BF00128786