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References
J. Crow and M. Kimura (1970), An introduction to population genetics theory, Harper and Row, New York.
D. Dawson (1972), Stochastic evolution equations, Math. Biosciences 15, 287–316, Appendix I.
D. Dawson (1974), Stochastic evolution equations and related measure processes, manuscript.
W. Fleming and C. Su (1973–74), One dimensional migration models in population genetics theory, ms., and Some one dimensional migration models in population genetics theory, Theor. Popn. Biol. 5, June 1974.
W. Fleming (1974a), Distributed parameter stochastic systems in population biology, manuscript.
N. Ikeda, M. Nagasawa, and S. Watanabe (1968–69), Branching Markov processes I,II,III, J. Math. Kyoto 8, 233–278, 365–410, and 9, 95–160.
M. Kimura and T. Ohta (1971), Theoretical aspects of population genetics, Monographs in Popn. Biol. No. 4, Princeton Univ. Press.
G. Malécot (1948), The mathematics of heredity, W. H. Freeman and Co., San Francisco, English translation 1969.
P. Moran, The statistical processes of evolutionary theory, Clarendon Press, Oxford, 1962.
T. Nagylaki (1974), The decay of genetic variability in geographically structured populations, Proc. NAC USA 71, 2932–2936.
S. Sawyer (1970), A formula for semi-groups, with an application to branching diffusion processes, Trans. AMS 152, 1–38.
S. Sawyer (1974), Branching diffusion processes in population genetics, manuscript.
T. Stewart (1973), The people of America, Charles Scribner, New York.
G. Weiss and M. Kimura (1964–65), The stepping stone model of population structure and the decrease of genetic correlation with distance, Genetics 49, 561–576, and A mathematical analysis of the stepping stone model of genetic correlation, Jour. Applied Prob. 2, 129–149.
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Sawyer, S. (1975). An application of branching random fields to genetics. In: Pinsky, M.A. (eds) Probabilistic Methods in Differential Equations. Lecture Notes in Mathematics, vol 451. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068582
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DOI: https://doi.org/10.1007/BFb0068582
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