Abstract
A NUMBER of recurrent series have been found in phenomena related to inbreeding. A new series is represented by the sequence of the values of ƒ′m (the mean coefficient of inbreeding for sex-linked genes1 in a strictly panmictic population model, as defined by Freire-Maia and Freire-Maia2), from sib matings through the subsequent simple full degrees of consanguinity (uncle–niece plus aunt–nephew, UN + AN; first cousin, 1C; first cousin once removed, 1½C; second cousin, 2C; etc.). This series is as follows: 1/4, 3/16, 5/64, 11/256, 21/1,024, 43/4,096, 85/16,384, … (Fig. 1) (cf. Freire-Maia and Freire-Maia2 and unpublished work, and Freire-Maia and Marçallo3 for these terms). Knowing two consecutive values, the following value may be calculated by the formula: The general solution for this equation is:
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References
The values of ƒ′ are calculated according to Haldane, J. B. S., and Moshinsky, P., Ann. Eug., 9, 321 (1939).
Freire-Maia, N., and Freire-Maia, A., Proc. Tenth Int. Congr. Gen., 2, 89 (1958).
Freire-Maia, N., and Marçallo, F. A., Bol. Soc. Brasil. Gen., 2, 14 (1960).
Jennings, H. S., Genetics, 1, 53 (1916). cf. Wright, S., Proc. U.S. Nat. Acad. Sci., 19, 411 (1933).
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MARÇALLO, F., FREIRE-MAIA, N. New Recurrent Series in Inbreeding Phenomena. Nature 189, 421–422 (1961). https://doi.org/10.1038/189421a0
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DOI: https://doi.org/10.1038/189421a0
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