# Download PDF by James F. Crow, Motoo Kimura: An Introduction to Population Genetics Theory

By James F. Crow, Motoo Kimura

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For example, in human populations there are examples where most of the migrants to a newly colonized area were male, and many of the marriages were between local women and immigrant men. 1. Random combination of gametes when the allele frequencies are different in the two sexes. The single and double asterisks refer to male and female frequencies, respectively. RANDOMLY MATING POPULATIONS 45 For an autosomal locus, the Hardy-Weinberg frequencies are attained, but after a delay of one generation.

In a population with discrete generations and with fitness w, how many generations are required to double the population number? 2. How long is required for the population to double with model 2? 3. A population under model 3 has reached age stability. How long, in units of A, will be required for the population to double? What is the effective generation length, defined as the unit that will give the same answer as problem 1 ? 4. Suppose you know the age-specific death rates (the probability that an individual of age x will die during the next time unit).

In the next generation the frequency of gene A , in both sexes is and in all following generations the genotypes are in the proportions p:, 2 p l p 2 , and As expected, the gene frequency is the unweighted average of what it was originally in the two sexes. 1. Likewise, extension to multiple alleles is straightforward and will not be discussed here. With an X-linked locus, starting out with different allele frequencies in the two sexes, the situation is quite different. The equilibrium, instead of being attained in two generations as for an autosomal locus, is reached only gradually.