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An Investigation of the Isolation-By-Distance Model

F. James Rohlf and Gary D. Schnell
The American Naturalist
Vol. 105, No. 944 (Jul. - Aug., 1971), pp. 295-324
Stable URL: http://www.jstor.org/stable/2459625
Page Count: 30
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An Investigation of the Isolation-By-Distance Model
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Abstract

Wright's isolation-by-distance model was investigated using techniques of simulation on a digital computer. We examined the manner in which a population as a whole differentiated in time, as well as the distributional pattern of gene frequencies in the population. Both the areal and the linear isolation-by-distance models were investigated. The observed rate of increase in the inbreeding coefficient did not agree well with that predicted by the results of Wright (although the differences may be due to changes which take place in only the first few generations). It was also found that the particular patterns of highs and lows of gene frequencies over a geographic area became established quickly and persisted for a large number of generations, particularly near the periphery of the population. Implications of our results for interpreting geographic variation analyses in terms of differential selection are discussed.

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