Kimura also developed the
infinite sites model (ISM) to provide insight into evolutionary rates of
mutant alleles. If v were to represent the rate of mutation of
gametes per generation of N individuals, each with two sets of
chromosomes, the total number of new mutants in each generation is 2Nv. Now let k represent the evolution rate in terms of a mutant allele \mu becoming fixed in a population. :k=2Nv\mu According to ISM, selectively neutral mutations appear at rate \mu in each of the 2N copies of a
gene, and fix with probability 1/(2N). Because any of the 2N genes have the ability to become fixed in a population, 1/2N is equal to \mu, resulting in the rate of evolutionary rate equation: :k=v This means that if all mutations were neutral, the rate at which fixed differences accumulate between divergent populations is predicted to be equal to the per-individual mutation rate, independent of population size. When the proportion of mutations that are neutral is constant, so is the divergence rate between populations. This provides a rationale for the
molecular clock, which predated neutral theory. The ISM also demonstrates a constancy that is observed in molecular
lineages. This stochastic process is assumed to obey equations describing random genetic drift by means of accidents of sampling, rather than for example
genetic hitchhiking of a neutral allele due to
genetic linkage with non-neutral alleles. After appearing by mutation, a neutral allele may become more common within the population via
genetic drift. Usually, it will be lost, or in rare cases it may become
fixed, meaning that the new allele becomes standard in the population. According to the neutral theory of molecular evolution, the amount of
genetic variation within a species should be
proportional to the
effective population size. ==The "neutralist–selectionist" debate==