Population Genetics. Matthew B. Hamilton. Читать онлайн. Newlib. NEWLIB.NET

Автор: Matthew B. Hamilton
Издательство: John Wiley & Sons Limited
Серия:
Жанр произведения: Биология
Год издания: 0
isbn: 9781118436899
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allozyme Brown (1979)

      

Schematic illustration of an allozyme gel stained to show alleles at the phosphoglucomutase or PGM locus in striped bass and white bass. The right-most three individuals are homozygous for the faster migrating allele, while the left-most four individuals are homozygous for the slower migrating allele.

      (2.12)equation

      where k is the number of alleles at the locus, the pi 2 and 2pipj terms represent the expected homozygote genotype frequencies with random mating based on allele frequencies, and images indicates summation of the frequencies of the k homozygous genotypes. Under random mating, images. This quantity was called the gene diversity by Nei (1973) to distinguish it from the heterozygosity when there is non‐random mating within populations and to recognize that it is a quantity that can be applied to polyploids (see Meirmans et al. 2018). The expected heterozygosity can be adjusted for small samples by multiplying He by 2N/(2N − 1) where N is the total number of genotypes (Nei and Roychoudhury 1974), a correction that makes little difference unless N is about 50 or fewer individuals. In a similar manner, the observed heterozygosity (Ho) is the sum of the frequencies of all heterozygotes observed in a sample of genotypes:

      (2.13)equation

      where the observed frequency of each heterozygous genotype Hi is summed over the h = k(k − 1)/2 heterozygous genotypes possible with k alleles. Both He and Ho can be averaged over multiple loci to obtain mean heterozygosity estimates for two or more loci. Heterozygosity provides one of the basic measures of genetic variation, or more formally genetic polymorphism, in population genetics.

      The fixation index as a measure of deviation from expected levels of heterozygosity is a critical concept that will appear in several places later in this text. The fixation index plays a conceptual role in understanding the effects of population size on heterozygosity (Chapter 3) and also serves as an estimator of the impact of population structure on the distribution of genetic variation (Chapter 4).

       Mating among relatives alters genotype frequencies but not allele frequencies.

       Mating among relatives and the probability that two alleles are identical by descent.

       The coancestry coefficient and autozygosity.

       Phenotypic consequences of mating among relatives.

       Inbreeding depression and its possible causes.

       The many meanings of inbreeding.

      The previous section of this chapter showed how non‐random mating can increase or decrease the frequency of heterozygote genotypes compared to the frequency that is expected with random mating. The last section also introduced the fixation index as well as ways to quantify heterozygosity in a population. This section will build on that foundation to show two concepts: (i) the consequences of non‐random mating on allele and genotype frequencies in a population and (ii) the probability that two alleles are identical by descent. The focus will be on positive genotypic assortative mating (like genotypes mate) or inbreeding since this will eventually be helpful to understand genotype frequencies in small populations. The end of this section will consider some of the consequences of inbreeding and the evolution of autogamy.

       Impacts of non‐random mating on genotype and allele frequencies