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DeFinetti 1.0

Author(s): Anton E Weisstein1, John Jungck2, Tia Johnson2, Ed Louis

1. Truman State University 2. Beloit College

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Summary:
This Excel workbook simulates evolution of a single gene with three alleles. The user assigns fitness values to each of the six possible genotypes, then enters starting allele frequencies for each of up to 22 individual populations.

Licensed under CC Attribution-NonCommercial-ShareAlike 4.0 International according to these terms

Version 1.0 - published on 16 Aug 2024 doi:10.25334/M1QT-VB37 - cite this

Keywords

  1. population genetics
  2. alleles
  3. evolutionary fitness

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  2. Subdiscipline
  3. Audience Level
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Contents:
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Overview

This Excel workbook simulates evolution of a single gene with three alleles. The user assigns fitness values to each of the six possible genotypes, then enters starting allele frequencies for each of up to 22 individual populations. The program tracks each population through 100 generations and plots the results in a ternary graph. Additional output includes a 3D adaptive landscape and a time plot of local populations' mean fitness, genetic variance in fitness, and expected heterozygosity. Note that this is a 2 MB file.

Popular Text Citations

Templeton, A.R. 1982. "Adaptation and integration of evolutionary forces." Pages 15-31 in: Milkman, R., ed. Perspectives on Evolution. Sinauer Associates: Sunderland, Mass.

Li, C.C. 1976. First Course in Population Genetics. Boxwood Press: Pacific Grove, California.

Hartl, D.L. 2000. A Primer of Population Genetics, 3rd. ed. Sinauer Associates: Sunderland, Mass.

Crow, J.F. 1986. Basic Concepts in Population, Quantitative, and Evolutionary Genetics, pp. 97-102. W.H. Freeman & Co.: New York.

Crow, J.F., and M. Kimura. 1970. An Introduction to Population Genetics. Harper & Row: New York.

Edwards, A.W.F. (2000) Foundations of Mathematical Genetics. Cambridge University Press.

Alexander, N. (2004). Triangle plots of three-level explanatory variables. Significance, 1(3), 130-131.

Research Articles

Neal Alexander, M. Rodriguez, L. Perez, J. Caicedo, J. Cruz, G. Prieto, J. Arroyo, M. Cotacio, M. Suarez, F. De La Hoz, A. Hall (2005). Case-Control Study of Mosquito Nets Against Malaria in the Amazon Region of Colombia. Am. J. Trop. Med. Hyg., 73(1), pp. 140-148.

Holsinger , Kent E. The Neutral Theory of Molecular Evolution. http://darwin.eeb.uconn.edu/

Cannings C., Edwards A.W.F. (1968) Natuarl selection and the de Finetti diagram Ann Hum Gen 31:421-428

Ineichen, R.; Batschelet, E. 1975. Genetic selection and de Finetti diagrams. Journal of Mathematical Biology 2:33-39.

Rossi, C. 1979. Equilibrium stability of a diffusion process in population genetics. Ann Hum Genet 43:187-92.

Education Research & Pedagogical Materials

Barman, C.R., A. Collins, E.J. Louis, and J.R. Jungck. 1985. "Sickle cell anemia: 'interesting pathology' and 'rarely told stories'". American Biology Teacher 47 (3): 183-187.

Citation

Researchers should cite this work as follows:

Fundamental Mathematical Concepts

Fundamental Mathematical Concepts
de Finetti diagram

Developed By

Developed by
Bruno de Finetti

Primary Reference

de Finetti, B. 1927. Conseguenze statistiche delle leggi di Mendel. Rivista di Biologia IX-V:525-553.

de Finetti, B. 1926. Considerazioni matematiche sull'ereditarietà mendeliana. Metron 6:29-37.