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M Nei

Publications and source records attributed to M Nei.

At least 55 records · Page 3Linked to original sources
PubMed1979

Mathematical model for studying genetic variation in terms of restriction endonucleases.

A mathematical model for the evolutionary change of restriction sites in mitochondrial DNA is developed. Formulas based on this model are presented for estimating the number of nucleotide substitutions between two populations or species. To express the degree of polymorphism in a population at the nucleotide level, a measure called "nucleotide diversity" is proposed.

Base Sequence↗
PubMed1978

Nonrandom amino acid substitution and estimation of the number of nucleotide substitutions in evolution.

A method of estimating the number of nucleotide substitutions from amino acid sequence data is developed by using Dayhoff's mutation probability matrix. This method takes into account the effect of nonrandom amino acid substitutions and gives an estimate which is similar to the value obtained by Fitch's counting method, but larger than the estimate obtained under the assumption of random substitutions (Jukes and Cantor's formula). Computer simulations based on Dayhoff's mutation probability matrix have suggested that Jukes and Holmquist's method of estimating the number of nucleotide substitutions gives an overestimate when amino acid substitution is not random and the variance of the estimate is generally very large. It is also shown that when the number of nucleotide substitutions is small, this method tends to give an overestimate even when amino acid substitution is purely at random.

Amino Acid Sequence↗
PubMed1978

Goodman et al.'s method for augmenting the number of nucleotide substitutions.

Statistical properties of Goodman et al.'s (1974) method of compensating for undetected nucleotide substitutions in evolution are investigated by using computer simulation. It is found that the method tends to overcompensate when the stochastic error of the number of nucleotide substitutions is large. Furthermore, the estimate of the number of nucleotide substitutions obtained by this method has a large variance. However, in order to see whether this method gives overcompensation when applied together with the maximum parsimony method, a much larger scale of simulation seems to be necessary.

Biological Evolution↗
PubMed1978

Subunit molecular weight and genetic variability of proteins in natural populations.

The relationship between subunit molecular weight and heterozygosity was studied in six different groups of organisms, i.e., 9 species of primates, 32 species of rodents, 56 species of reptiles, 12 species of salamanders, 64 species of teleost fishes, and 29 species of Drosophila. The correlation coefficient between them was positive in all groups, and the magnitude of correlation was roughly in agreement with the theoretical expectation under the mutation-drift hypothesis when the incomplete correlation between molecular weight and mutation rate was taken into account. Furthermore, the correlation was higher when the average heterozygosity was high than when this was low, as theoretically expected.

Gene Frequency↗
PubMed1977

Standard error of immunological dating of evolutionary time.

The empirical variance of the immunological distance as measured by microcomplement fixation with albumin is determined. The variance obtained is at least two times larger than the mean when the mean is small and the ratio of the variance to the mean increases with increasing mean. Thus, the immunological dating of evolutionary time has a large standard error. It is shown that in bird lysozymes the relationship between immunological distance (y) and the number of amino acid substitutions per 100 sites (x) is given by y = 4.2 x approximately.

Amino Acid Sequence↗
PubMed1977

Persistence of common alleles in two related populations or species.

Mathematical studies are conducted on three problems that arise in molecular population genetics. (1) The time required for a particular allele to become extinct in a population under the effects of mutation, selection, and random genetic drift is studied. In the absence of selection, the mean extinction time of an allele with an initial frequency close to 1 is of the order of the reciprocal of the mutation rate when 4Nv less than 1, where N is the effective population size and v is the mutation rate per generation. Advantageous mutations reduce the extinction time considerably, whereas deleterious mutations increase it tremendously even if the effect on fitness is very slight. (2) Mathematical formulae are derived for the distribution and the moments of extinction time of a particular allele from one or both of two related populations or species under the assumption of no selection. When 4Nv less than 1, the mean extinction time is about half that for a single population, if the two populations are descended from a common original stock. (3) The expected number as well as the proportion of common neutral alleles shared by two related species at the tth generation after their separation are studied. It is shown that if 4Nv is small, the two species are expected to share a high proportion of common alleles even 4N generations after separation. In addition to the above mathematical studies, the implications of our results for the common alleles at protein loci in related Drosophila species and for the degeneration of unused characters in cave animals are discussed.

Alleles↗
PubMed1977

F-statistics and analysis of gene diversity in subdivided populations.

It is show that Wright's F-statistics can be defined as ratios of gene diversities of heterozygosities rather than as the correlations of uniting gametes. This definition is applicable irrespective of the number of alleles involved or whether there is selection or not. The relationship between F-statistics and Nei's gene diversity analysis is discussed.

Alleles↗
PubMed1977

Estimation of mutation rate from rare protein variants.

A method for estimating the mutation rate for protein loci from the number of rare alleles in the population is presented. It seems to have a number of advantages compared with Kimura and Ohta's method. Applying this method to Neel's data from American Indians in South America and to Nozawa's data from Japanese macaques, the mutation rate for electrophoretically detectable alleles is estimated to be (2 approximately 3) x 10(-6) per locus per generation. This estimate may not include many severely or substantially deleterious mutations.

Alleles↗
PubMed1977

Statistical studies on protein polymorphism in natural populations. I. Distribution of single locus heterozygosity.

Surveying the literature, the frequency distribution of single-locus heterozygosity among protein loci was examined in 95 vertebrate and 34 invertebrate species with the aim of testing the validity of the mutation-drift hypothesis. This distribution did not differ significantly from that expected under the mutation-drift hypothesis for any of the species examined when tested by the Kolmogorov-Smirnov goodness-of-fit statistic. The agreement between the observed interlocus variance of heterozygosity and its theoretical expectation was also satisfactory. There was an indication that variation in the mutation rate among loci inflates the interlocus variance of heterozygosity. The variance of heterozygosity for a homologous locus among different species was also studied. This variance generally agreed with the theoretical value very well, though in some groups of Drosophila species there was a significant discrepancy. The observed relationship between average heterozygosity and the proportion of polymorphic loci was in good agreement with the theoretical relationship. It was concluded that, with respect to the pattern of distribution of heterozygosity, the majority of data on protein polymorphisms are consistent with the mutation-drift hypothesis. After examining alternative possible explanations involving selection, it was concluded that the present data cannot be explained adequately without considering a large effect of random genetic drift, whether there is selection or not.

Animals↗
PubMed1976

Electrophoretically silent alleles in a finite population.

The expected number of silent alleles in an electromorph is computed for various values of population size (N), mutation rate (u), and sample size (s) under the assumption of no selection. The proportion of alleles undetectable by electrophoresis is higher when Nu is large than when this is small. It is shown that an electromorph of high population frequency has more silent alleles than an electromorph of low frequency if the sample size is the same.

Alleles↗
PubMed1976

Empirical relationship between the number of nucleotide substitutions and interspecific identity of amino acid sequences in some proteins.

There are three different methods of estimating the number of nucleotide substitutions between a pair of species from amino acid sequence data, i.e. the Poisson correction method, random evolutionary hit method, and counting the actual but minimum number of nucleotide substitutions. In this paper the relationships among the estimates obtained by these methods are studied empirically. The results obtained indicate that there is a high correlation among these estimates and in practice any of the three methods may be used for constructing evolutionary trees or relating nucleotide substitutions to evolutionary time. The effects of varying rates of nucleotide substition among different sites on the Poisson correction and random evolutionary hit methods are also studied mathematically. It is shown that these two methods are quite insensitive to the variation of the rate of nucleotide substitution.

Amino Acid Sequence↗
PubMed1976

Infinite allele model with varying mutation rate.

Available data suggest that the variation in mutation rate among protein loci follows the gamma distribution. Thus, taking into account this variation, formulae are developed for the distribution of allele frequencies, mean and variance of heterozygosity, expected number of alleles, proportion of polymorphic loci, and genetic distance. These formulae should be more appropriate for the analysis of gene frequency data for protein loci than equivalent formulae with constant mutation rate.

Alleles↗