The diffusion model for migration and selection in a plant population

Journal of Mathematical Biology

Volumn 35, Issue 4, 1997, Pages 409-431

  Nagylaki, Thomas ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

Clines; Migration; Plants; Selection; Wave of advance

Indexed keywords

EID: 0001069078     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002850050059     Document Type: Article

References (22)

1. Avise, J. C.: Molecular Markers, Natural History and Evolution. New York: Chapman and Hall 1994
2. Crow, J. F., Kimura, M.: An Introduction to Population Genetics Theory. New York: Harper and Row 1970
3. Endler, J. A.: Geographic Variation, Speciation, and Clines. Princeton: Princeton University Press 1977
4. Fife, P. C.: Mathematical Aspects of Reacting and Diffusing Systems. Berlin: Springer 1979
5. Hadeler, K. P., Rothe, F.: Travelling fronts in nonlinear diffusion equations. J. Math. Biol. 2, 251-263 (1975)
6. Haldane, J. B. S.: A mathematical theory of natural and artificial selection. Part II. Proc. Camb. Phil. Soc., Biol. Sci. 1, 158-163 (1924)
7. Kempthorne, O.: An Introduction to Genetic Statistics. New York: Wiley 1957
8. Lewontin, R. C.: A general method for investigating the equilibrium of gene frequency in a population. Genetics 43, 421-433 (1958)
9. Malécot, G.: Les mathématiques de l'hérédité. Paris: Masson 1948.
10. Extended translation: The Mathematics of Heredity. San Francisco: Freeman 1969
11. Moody, M.: Polymorphism with migration and selection. J. Math. Biol. 8, 73-109 (1979)
12. Nagylaki, T.: Conditions for the existence of clines. Genetics 80, 595-615 (1975)
13. Nagylaki, T.: Clines with variable migration. Genetics 83, 867-886 (1976)
14. Nagylaki, T.: Clines with asymmetric migration. Genetics 88, 813-827 (1978)
15. Nagylaki, T.: The diffusion model for migration and selection. In: Hastings, A. (ed.) Some Mathematical Questions in Biology: Models in Population Biology (Lectures on Mathematics in the Life Sciences, vol. 20, pp. 55-75) Providence: American Mathematical Society 1989
16. Nagylaki, T.: Introduction to Theoretical Population Genetics. Berlin: Springer 1992
17. Nagylaki, T.: The diffusion model for migration and selection in a dioecious population. J. Math. Biol. 34, 334-360 (1996)
18. Slatkin, M.: Gene flow and selection in a cline. Genetics 75, 733-756 (1973)
19. Slatkin, M.: Gene flow in natural populations. Ann. Rev. Ecol. Syst. 16, 393-430 (1985)
20. Wright, S.: Systems of mating. Genetics 6, 111-178 (1921)
21. Wright, S.: The effects of inbreeding and crossbreeding on guinea pigs. III. Crosses between highly inbred families, pp. 1-60, Bull. 1121, U.S. Dept. of Agriculture, Washington (1922)
22. Wright, S.: Statistical genetics and evolution. Bull. Am. Math. Soc. 48, 223-246 (1942)