Isoallele frequencies in very large populations

Genetic variation in natural populations: problem of electrophoretically cryptic alleles

Electrophoretic studies have shown that the average frequency of heterozygous loci per individual is about 12% in Drosophila and other invertebrates and about 6% in vertebrates. It is estimated that only about two-thirds of all amino acid substitutions change net electric charge; hence, a large fraction of all genetic variation may be undetected by electrophoresis. Peptide mapping of 11 independent alleles coding for alcohol dehydrogenase in Drosophila melanogaster has uncovered one cryptic variant; thus, the frequency of electrophoretically cryptic variation is apparently low, about 9% in this sample. Nevertheless, with a simple model it is shown that this degree of cryptic variation, if it is typical of other loci, would substantially change our current estimates of genetic variation: the average heterozygosity would increase from about 12% to about 25% for invertebrates and from about 6% to 21% for vertebrates. A variety of techniques--including sequential electrophoresis and heat or urea denaturation--have been used by various investigators to detect electrophoretically cryptic variation. These techniques appear to be less effective than peptide mapping for detecting cryptic variation, but, like peptide mapping, they suggest that standard electrophoresis may detect most of the protein variation present in natural populations. The charge-state model of protein variation proposes that the "alleles" detected by electrophoresis are extremely diverse classes consisting of many electrophoretically cryptic alleles. The alcohol dehydrogenase peptide-mapping results are inconsistent with the charge-state model.

Chemical basis of the electrophoretic variation observed at the alcohol dehydrogenase locus of Drosophila melanogaster

The amino acid substitution responsible for the different electrophoretic mobility of the ADHs alleloenzyme and the ADHf alleloenzyme of the alcohol dehydrogenase from a Nigerian population of Drosophila melanogaster has been established as lysine (ADHs) for threonine (ADHf). This result is discussed with reference to the charge state model of electrophoretic variation, in conjunction with other know substitutions at this locus. It is concluded that electrophoretic methods should be capable of distinguishing many alleloenzymes which have identical isoelectric points without recourse to explanations involving conformational variability.

Nonelectrophoretic genetic variability in mosquitoes: polymorphism for temperature-resistant and temperature-sensitive phosphoglucomutase alleles in Culex pipiens

Homogenates of single individuals of two natural populations and five laboratory populations of Culex pipiens were examined by combining electrophoresis and heat denaturation studies on phosphoglucomutase (PGM). All populations showed a high degree of polymorphism for isoelectrophoretic temperature-resistant (tr) and temperature-sensitive (ts) alleles. Formal genetic data on the heat stability differences of the PGM are given. If both electrophoretic and isoelectrophoretic alleles are taken into account, the mean increase in the degree of heterozygosity is quite remarkable, i.e., about 65%.--The data are considered in relation to the biological significance that this new type of variability of structural genes could have in natural populations.

Charge-state and charge-continuum models in electrophoresis and isoelectric focusing of genetic variants

A model which combines the charge-state and charge-continuum models is considered in terms of the pH at which the electrophoretic analysis is made. "Unit" charge changes are obtained when the mutated charged group is at least 2 pH units apart from the pI of the protein. "Fractional" charge changes are found when the differences between the pK of the mutated charged group and the pI of the protein becomes progressively smaller, or when the pK of the ionizable group lies on the "wrong" side of the protein pI. It is possible to measure the pK of a modified group in a protein when the delta pI per protonic unit in a given family of proteins (e.g., haemoglobin mutants) is less than unity.

Estimating total genic diversity in the house mouse

In a survey of variation in both electrophoretic charge and thermostability at 14 structural loci in 40 strains of Mus musculus, 27 electromorphs (polypeptides differing in electrophoretic charge) and 20 thermomorphs (polypeptides differing in thermostability) were found. Electrophoresis detected 11 new variants within thermomorphs, and the heat denaturation technique detected four new variants within electromorphs. From these data, and making the assumption that both techniques are independent of each other, it is estimated that the actual total number of alleles at the 14 loci is 53, or an average of 3.79 per locus (1.96 per electromorph), and that electrophoresis apparently detects one-third of the variants, thus describing about 50% of the alleles at structural gene loci in the house mouse.

Unimodality, symmetry and the step-state hypothesis of electrophoretic variation in natural populations

The population frequency distributions of electromorphs of polymorphic loci, when ordered by electrophoretic mobility, tend strongly and significantly to be both unimodal and symmetrical. Such distributions are predicted by all step-change models and their generality in published data can be construed as supportive of the step-change hypothesis. On the other hand, unimodality and symmetry might also be due to artifactual "unit perception" biases that affect the interpretation and reporting of electrophoretic data. In any case, it appears that perceived electromorphs are highly heterogeneous.

Substrate-specific enzyme variation in natural populations of Drosophila pseudoobscura

By using a number of different alcohols as substrates, eight alcohol dehydrogenase loci were discovered in Drosophila pseudoobscura. Each of these loci can take more than one substrate. Several of these loci differed in their tissue specificities and activity patterns during development. The genic variation in natural populations was studied at four of these loci and three of them were polymorphic. A quantitative study of substrate-specific differences among alleles of the same locus produced negative results. This result appears to be typical of most studies done on this aspect. From this it was concluded that the substrate specificity of enzymes is not an important factor in determining the greater amount of genic variation at Group II loci than at Group I loci, as proposed by KOJIMA, GILLESPIE and TOBARI (1970). There are several observations which suggest a different explanation for the differences in the genic variability at Group I and Group II loci: (1) There are, on an average, more isozyme loci (loci with similar substrate specificity) for enzymes in Group II than in Group I; (2) The null alleles are far more common at Group II loci than at Group I loci; (3) There is significant heterogeneity in the number of alleles and the heterozygosities at loci within each of these two groups of enzymes; (4) Relatively higher levels of genic variation are observed at Group II loci even in populations which appear to be living in homogeneous environments; and (5) Some loci (e.g. esterases) are highly polymorphic in most species investigated by gel electrophoresis techniques. Based on these general observations, it is proposed that (1) the substrate-specific differences are between isozyme loci and not between alleles of a given locus, and (2) neutral alleles are proportionately far more common at loci at Group II than at loci in Group I, because the former is under less selection constraint than the latter.

The charge-state model of protein polymorphism in natural populations

Routine electrophoretic surveys for genetic variation in natural populations depend primarily upon detecting differences in the net charge carried by a protein. We have calculated the proportion of base substitutions which would yield an electrophoretically detectable mutant protein, and the relative mutation rates among different chare classes, under a variety of simplifying assumptions. These calculations indicate that: (i) only 25 per cent of all single base mutations would lead to a charge change on a protein molecule. (ii) five distinct classes of electrophoretic variants can be generated from a specified protein by single base substitutions. (iii) the relative mutation rates differ markedly among the different charge classes which can be generated by single base substitutions. The estimates of the proportion of electrophoretically detectable mutant proteins and relative mutation rates among charge classes were relatively robust to changes in assumptions concerned with the kind and site of base substitutions and the amino acid composition of the protein.

Population genetics of allozyme variation in Neurospora intermedia

Electrophoretically detectable variation in the fungus Neurospora intermedia has been surveyed among isolates from natural populations in Malaya, Papua, Australia and Florida. The principal result is a pattern of genetic variation within and between populations that is qualitatively no different than the well documented patterns for Drosophila and humans. In particular, there is a high level of genetic variation, the majority of which occurs at the level of local populations. Evidence is presented which argues that N. intermedia has a population structure analogous to that of an annual vascular plant with a high level of vegetative reproduction. Sexual reproduction appears to be a regular feature in the biology of the species. Substantial heterokaryon function seems unlikely in natural populations of N. intermedia. Theoretical considerations concerning the mechanisms underlying the observed pattern of variation most likely should be consistent with haploid selection theory. The implications of this constraint upon the theory are discussed in detail, leading to the presentation of a model based upon the concept of environmental heterogenicity. The essence of the model, which is equally applicable to haploid and diploid situations, is a shifting distribution of multiple adaptive niches among local populations such that a given population has a small net selective pressure in favor of one allele or another, depending upon its particular distribution of niches. Gene flow among neighboring populations with differing net selective pressures is postulated as the principal factor underlying intrapopulational allozyme variation.

Distribution of allelic frequencies in a finite population under stepwise production of neutral alleles

A formula for the distribution of allelic frequencies in a finite population is derived assuming stepwise production of multiple alleles. Monte Carlo experiments were performed to check the validity of the formula, and excellent agreement was obtained between theoretical distribution and experimental results. The formula should be useful for analyzing genetic variability in natural populations that can be detected by electrophoretic methods.

Profiles of electrophoretic alleles in natural populations

The charge state model of Ohta & Kimura (1973) for the number of electrophoretically detectable alleles in a finite population, is extended to include mutations of both one and two charge changes. The effective number of alleles (ne) is increased only slightly by this extension. Electrophoretic profiles of neutral variants are shown on average to be leptokurtic and have their odd central moments equal to zero. The expected frequency distribution of pairs of gametes which differ by 1,2,3,… charge units can be obtained as the sum of the appropriate terms from two geometric series.