STOCHASTIC PROCESSES AND DISTRIBUTION OF GENE FREQUENCIES UNDER NATURAL SELECTION
STOCHASTIC PROCESSES AND DISTRIBUTION OF GENE FREQUENCIES UNDER NATURAL SELECTION
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DOI:
10.1101/sqb.1955.020.01.006
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发表时间:
1955-01-01
期刊:
影响因子:
--
通讯作者:
KIMURA, M
中科院分区:
文献类型:
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作者:
KIMURA, M
Evolution is a stochastic process of change in gene frequencies in natural populations. Since the populations making up a species consist of many individuals and since evolution extends over enormous periods of time, laws which govern the process of change are inevitably" statistical." In this sense the genetical theory of evolution, as RA Fisher (1922) suggests, is comparable to the theory of gases. This analogy can be pushed further: Instead of considering populations as aggregates of genes, we find it more convenient to consider populations as aggregates of gene frequencies (or ratios). This is similar to the situation in physics where the specification of the population of velocities is sometimes more useful than that of a population of particles (Fisher, 1953). As far as I know, this fruitful idea was first incorporated into the theory of population genetics by Fisher in his 1922 paper, which led to a later elaboration (Fisher, 1930a).The deductive theory of genetics of natural populations has been greatly advanced since then by S. Wright in his numerous papers starting in 1931. The problem of steady state distribution of gene frequencies has been solved under more and more general conditions. Out of his investigations he has proposed a new thesis that the most favorable condition for rapid evolution is the subdivision of the population into numerous partially isolated local groups. The essential idea is that this population structure provides stochastic differentiation of local groups which is the basis of intergroup selection. This view, though it has been accepted by many evolutionists (Dobzhansky, 1951; Haldane, 1949b; Muller, 1949) is a controversial one, having been criticized by Fisher's school (see for example Sheppard, 1954). One of the criticisms came from the study of the isolated population of the moth Panaxia dominula by Fisher and Ford (1947). They generalized their findings on the medionigra gene to the statement that natural populations in general are affected by selective action varying from time to time in direction and intensity, and of sufficient magnitude to cause fluctuating variation in all gene-ratios. Thus they (Fisher and Ford, 1950) consider that the claim for ascribing a special evolutionary advantage to small isolated com-