Effect of gametic disequilibrium on selection in an autotetraploid population

Summary The effects of a gametic disequilibrium (DSE) in an autotetraploid population on response to selection as measured by the covariance of selection were investigated. The theoretical responses were calculated for mass selection [Mass (1)] and half-sib progeny test selection (HSPT) in a two-allele (B and b), single locus, autotetraploid population. The complexity of calculations precluded analytical expressions for the covariances so numerical analysis was used assuming the following genetic models: monoplex dominance, partial monoplex dominance, duplex dominance, partial duplex dominance, and additive gene action.The results indicated the DSE could greatly affect the covariance of selection. For a constant allele frequency the DSE might double the covariance expected with selection in a population at random mating equilibrium (RME) of gametes, but in other instances approach zero. For all genetic models and the two breeding methods investigated the covariance of selection was always increased when the frequency of BB gamete exceeded p² (where p is frequency of allele B) and decreased when the frequency of BB gamete was less than p². The possible incorporation of this information into a long term breeding program and some other ramifications were briefly discussed.With the DSE the covariances of selection with HSPT and Mass (1) had a proportionality of 1:2, respectively, with the additive genetic model, but this relationship rarely occurred for other genetic models. The deviations from this ratio were not large in comparison to differences between selection in populations in DSE and RME.Cooperative investigations of the Alfalfa Production Research Unit, United State Department of Agriculture, Agricultural Research Service, and the Nevada Agricultural Experiment Station, Reno, Nevada. Paper No. 512. Scientific Journal Series, Nevada Agricultural Experiment Station     

Effect of gametic disequilibrium on means and on genetic variances of autotetraploid synthetic varieties

Summary The occurrence and effects of a gametic disequilibrium (DSE) in the first generation of a theoretical two-population synthetic variety were investigated. Theoretical development was limited to the genetics at a single locus with two alleles in an autotetraploid species with random chromosome inheritance. Algebraic expressions were developed for the differences between the mean genotypic values of the two-population synthetic variety at generation one and in random mating equilibrium (RME). For the situation where both parents of the synthetic were in RME, a numerical analysis was performed for all possible allele frequencies assuming the following types of genic action: monoplex dominance, partial monoplex dominance, duplex dominance, partial duplex dominance, and additive. The result indicated that with non-additive genic action the DSE could, in some cases, greatly depress or inflate the mean genotypic value of the first generation (Syn-1_(RME)). Thus, any change of means over advancing generations with loss of DSE could be positive or negative. When additive genic action was assumed, there was no effect associated with DSE and when both parents had the same allele frequencies there was no DSE. The DSE, with only a minor exception, decreased the genetic variance and in numerous cases forced it near zero. Expressions were developed for mean genotypic values of a first generation synthetic with DSE in one parent (Syn-1_(DSE/RME)) or both parents (Syn-1_(DSE)). The deviation of these means from those of Syn-1_(RME) was a function of digenic and quadragenic population effects. An inspection of the response equations for Syn-1_(RME) indicated that in a series of crosses with one common parent the rankings of first generation means would be the same as the ranking of populations at equilibrium though the individual means would be biased. More importantly with DSE of one or both parents there are situations when a ranking of first generation mean genotypic values would not reflect relative frequency of desirable alleles in the populations. These results indicate that statistical analyses and selections based on means of the Syn-1 generation can have an error which is not avoidable by improvement in precision of evaluation.Cooperative investigations of the Alfalfa Production Research Unit, United States Department of Agriculture, Agricultural Research Service, and the Nevada Agricultural Experiment Station, Reno, Nevada, USAPaper No. 590 Scientific Journal Series, Nevada Agricultural Experiment Station     

Evolution du polymorphisme enzymatique dans des populations expérimentales de Drosophila melanogaster III. Déséquilibre de linkage entre les locus Adh et α-Gpdh

Evolution of enzyme polymorphism in experimental populations of Drosophila melanogaster III. Linkage disequilibrium between alleles of the Adh and -Gpdh loci — The evolution of gametic frequencies and linkage disequilibria between alleles of the Adh and -Gpdh-loci was followed in two experimental populations of Drosophila melanogaster maintained at different temperatures. The results observed were compared with those expected on the basis of theoretical models of gametic selection. Gametic fitness values were estimated from the analysis of the productivity of the different homozygous genotypes.Our experimental results indicate that the selection favours an association between the alleles Adh-F and -Gpdh-S, but it is impossible to generate and/or maintain a stable linkage disequilibrium between the two alleles.     

Relationship between α-L-fucosidase deficiency in plasma and α-L-fucosidase activity in leukocytes

Summary After testing a population sample of 185 hospitalized Italian children for the plasma -L-fucosidase deficiency and establishing an approximate threshold value between heterozygotes and wild-type homozygotes, we analyzed by two statistical methods the distribution of the two genotypes. The results obtained by probit analysis agree with threshold and average values expected on the basis of the Hardy-Weinberg equilibrium.In addition, the level of -fucosidase in leukocytes of 12 individuals with deficiency of -fucosidase in plasma was found to be significantly lower than that of 61 controls (P<0.005). These results indicate that the mutation(s) causing a deficiency of -fucosidase in plasma is (are) also expressed in leukocytes.     

Effect of assortative mating on genetic change due to selection

Summary Two mathematical models (A and B) were used to study joint effects of selection and assortative mating on genetic change. Computer simulation was used to verify and extend the results. In each model, the genotype was additive with equal effects at each of N loci and the environmental distribution was N(0, ²). In Model A, each locus had two alleles; in Model B, allelic effects at each locus followed a normal distribution. Using Model A, genetic change with assortative or random mating of selected parents was evaluated for combinations of number of loci (N = 1, 2, 3), heritability in base population (H^[0] = 0.2, 0.5, 0.8), allelic frequency in base population (p = 0.1, 0.5), and proportion selected ( = 0.20, 0.85). Using Model B, genetic change with or without assortative mating was calculated for combinations of N (1, 2, 3, 5, 10, 100, H^[0] (0.2, 0.5, 0.8) and (0.20, 0.85). Response to selection under both mating systems in a finite population was estimated using Model A from 200 replications of a computer simulation; this was done for all combinations of N (1,2, 3, 5, 10) and (0.20, 0.85), with H^[0] = 0.5 and p = 0.1. Results obtained with both models indicate that the effect of assortative mating on genetic change increases with H^[0] and , and decreases with p. With Model A, the relationship between N and the effect of assortative mating on genetic change was not clear; with Model B, however, the advantage of assortative over random mating increased with N, as expected. Simulation results were in agreement with theory of Model A. This study indicates that selection with assortative mating can have a sizable (10 to 20%) long-term advantage over selection with random mating of parents when H^[0] is high, p is low and is large.     

Genetic covariances within and between species: indirect selection for hybrid inviability

Genotype-environment interactions and natural selection can result in local specialization when different genotypes are favored in different environments. Restricted gene flow or genetic subdivision enhances local genetic diversification across a species when natural selection acts on such variation. The indirect evolution of reproductive isolation and the restriction of gene flow between species in statu nascendi may provide a central role for genotype-environment interactions in speciation genetics. We derive the expected genetic covariance between heterospecific and conspecific viability fitness under several different models of selection, dominance, and breeding structure. Standard quantitative genetic methods can be used to estimate these covariances in experimental studies. These genetic covariances permit us to evaluate in a formal way the indirect effects of selection within a species on the evolution of hybrid inviability between species. We find that, for autosomal loci and random mating, the genetic covariance across species is equal to the product of three quantities: (1) the viability of the best hybrid genotype; (2) the viability effect of an allele in hybrids; and, (3) the change in allele frequency due to selection in the conspecific population. Inbreeding within the conspecific population, expressed as Wright's coefficient, F, increases the genetic covariance by a factor (1 + F). In all cases, a negative genetic covariance across species is evidence for hybrid inviability evolving as an indirect effect of selection within species for adaptive (as opposed to neutral) genetic change. “It is an irony of evolutionary genetics, that although it is a fusion of Mendelism and Darwinism, it has made no direct contribution to what Darwin obviously saw as the fundamental problem: the origin of species…. While it is a question of elementary population genetics to state how many generations will be required for the frequency of an allele to change from q₁ to q₂, we do not know how to incorporate such a statement into speciation theory, in large part because we know virtually nothing about the genetic changes that occur in species formation.” (Lewontin 1974, p. 159)     

Evaluation of biometrical methods for estimating the number of genes

Summary Computer simulation of several genetic models was used to assess the effect of type I and type II statistical errors on estimating the number of genes by the inbred-backcross and genotype assay procedures. Depending upon the actual number of genes, heritability, and the probability of type I errors (), substantial upward and downward biases were observed in estimates of the number of genes from both methods. The estimated number of genes increased as was increased from 0.01 to 0.30 and as heritability increased. With high and/or high heritability, the estimated number of genes often exceeded the actual number. Downward biases occurred with low and low heritability, and tended to become greater as the number of genes in the model was increased. Large type II errors were associated with downward biases. The choice of had a greater impact on biases in estimates from the genotype assay procedure than from the inbred-backcross procedure. Increasing the number of backcrosses in the inbred-backcross procedure or delaying the assay generation in genotype assay increased the probability of upward biases in the estimated number of genes. Unbiased estimates can be obtained only by choice of an optimum . There is no known way to choose the optimum in practice. This fact reduces the value of estimates of the number of genes by genotype assay or by the inbred-backcross methods.Part of this study is based on the Ph.D. thesis of the senior author     

The Population Genetics of the α-2 Globin Locus of Orangutans (Pongo pygmaeus)

In this study, the molecular population genetics of the orangutans -2 globin (HBA2) gene were investigated in order to test for the action of natural selection. Haplotypes from 28 orangutan chromosomes were collected from a 1.46-kilobase region of the -2 globin locus. While many aspects of the data were consistent with neutrality, the observed heterogeneous distribution of polymorphisms was inconsistent with neutral expectations. Furthermore, a single amino acid variant, found in both the Bornean and the Sumatran orangutan subspecies, was associated with different alternative synonymous variants in each subspecies, suggesting that the allele may have spread separately through the two subspecies after two distinct origination events. This variant is not in Hardy–Weinberg equilibrium (HWE). These observations are consistent with neutral models that incorporate population structure and models that invoke selection. The orangutan Plasmodium parasite is a plausible selective agent that may underlie the variation at -2 globin in orangutans.This article contains electronic supplementary material.[Reviewing Editor: Dr. Deborah Charlesworth]Sequence data from this article have been deposited with the EMBL/GenBank Data Libraries under accession numbers AY372078–AY372110.     

Association of allozyme heterozygosity and sternopleural chaetae number inDrosophila melanogaster

Variation at two polymorphic allozyme loci (Adh and Gpdh) has been assayed in relation to sternopleural chaetae number in flies derived from a cage population ofD. melanogaster known to be under stabilising selection with respect to chaetae number. Central phenotypes were significantly more heterozygous at these loci than more extreme phenotypes. Analysis of the base popylation and of divergent directional selection lines derived from it suggested that alleles atAdh and Gpdh have a pleiotropic effect on chaetae number or are in strong linkage disequilibrium with chaetae factors. In addition, homozygotes atAdh and Gpdh were observed to have a higher variance in chaetae number than heterozygotes. It is concluded that additive and homeostatic models of gene action might both partly explain the higher heterozygosity of central phenotypes.     

Allelic variation at α-Amylase loci in hexaploid wheat

Summary A study of -amylase isozyme patterns from gibberellin-induced endosperms from more than 200 wheat genotypes has revealed allelic variation at five of the six -Amy-1 and -Amy-2 structural loci. These differences will find application as genetic markers and in varietal identification. The -Amy-B1 locus on chromosome 6B was most variable and displayed eight distinct allelic forms. The nature of the allelic phenotypes, observations of segregating populations and the number of in vivo translation products of mRNAs from the -Amy-1 and -Amy-2 loci indicated that the individual loci are multigenic, each consisting of tightly linked subunits which produce several different isoforms.     

Selection at the α-Gpdh locus in experimental populations of Drosophila melanogaster

Three sets of experiments have been conducted in order to evaluate the role of natural selection at the -Gpdh locus in Drosophila melanogaster. (1) The evolution of the F-allele frequency has been followed for many generations in 13 experimental populations having different genetic backgrounds. (2) Egg-to-adult viability has been measured in synthetic populations derived from one locality (Brouilly) and the results have been compared with those of a previous experiment involving a different local population (Tostes). (3) The effects of sodium octanoate on egg-to-adult viability have been measured on the genotypes FF, FS, SF, and SS. The results demonstrate that selection operates on a small block of genes which includes the -Gpdh locus.ERA 406 CNRS: Analyse et mécanismes de maintien du polymorphisme.     

Factors Influencing Fitness in Chromosomal Strains in DROSOPHILA SUBOBSCURA

Chromosomal polymorphism can be maintained by means of genic dominance, genic overdominance, recombination effects and karyotype selection. Experiments were carried out which allow us to distinguish among these factors as they effect egg hatch and larva-to-adult survival in D. subobscura. A strong karotype selection was observed. A small but highly significant recombination effect was also observed despite the fact that the material used in the experiment consisted of inbred, related strains and was therefore less likely to show such an effect than strains randomly chosen from a population. On the other hand, these strains, being inbred, were more likely to show genic dominance or genic overdominance than randomly picked samples. However neither genic dominance nor genic overdominance was detected.     

The α-glycerophosphate dehydrogenase (α-gpdh) polymorphism in Drosophila melanogaster: adult survival under temperature stress

Summary As a test of the hypothesis that adult temperature stress is an important component of natural selection maintaining the -gpdh polymorphism, we have looked for differential survival among genotypes subjected to (i) heat shock and (ii) cold shock. Factorial ANOVAR, taking account of genotype, sex and temperature-stress indicated that genotype did not contribute to the variance of survival proportion per vial. We have not therefore found evidence to support our hypothesis. Incidental to the above was a significant sex-temperature interaction. Thus, adult females showed higher survival than males under heat stress, while under cold stress, there was no indication of a survival difference between the sexes.     

The Tom Thumb dwarfing gene,Rht3 in wheat,I. Reduced pre-harvest damage to breadmaking quality

Summary The effects of the Tom Thumb dwarfing gene, Rht3, on the quality and quantity of grain -amylase produced during germination and by induction with exogenous gibberellic acid are described. In a season conducive to high sprouting damage the gene reduced -amylase levels in the field by 77%. Selection among random Rht3 genotypes showed that other genetic factors can be combined with the dwarfing gene to further increase sprouting damage resistance.     

Effect of non-random mating on genomic and BLUP selection schemes

Background

The risk of long-term unequal contribution of mating pairs to the gene pool is that deleterious recessive genes can be expressed. Such consequences could be alleviated by appropriately designing and optimizing breeding schemes i.e. by improving selection and mating procedures.

Methods

We studied the effect of mating designs, random, minimum coancestry and minimum covariance of ancestral contributions on rate of inbreeding and genetic gain for schemes with different information sources, i.e. sib test or own performance records, different genetic evaluation methods, i.e. BLUP or genomic selection, and different family structures, i.e. factorial or pair-wise.

Results

Results showed that substantial differences in rates of inbreeding due to mating design were present under schemes with a pair-wise family structure, for which minimum coancestry turned out to be more effective to generate lower rates of inbreeding. Specifically, substantial reductions in rates of inbreeding were observed in schemes using sib test records and BLUP evaluation. However, with a factorial family structure, differences in rates of inbreeding due mating designs were minor. Moreover, non-random mating had only a small effect in breeding schemes that used genomic evaluation, regardless of the information source.

Conclusions

It was concluded that minimum coancestry remains an efficient mating design when BLUP is used for genetic evaluation or when the size of the population is small, whereas the effect of non-random mating is smaller in schemes using genomic evaluation.     

The LSP1-α gene is not dosage compensated in the Drosophila melanogaster species subgroup

The X-linked subunit of larval serum protein 1 (LSP1-) is shown to lack dosage compensation in six members of the melanogaster species subgroup, viz., Drosophila melanogaster, D. simulans, D. mauritiana, D. erecta, D. yakuba, and D. teissieri, by quantitative filter hybridization and by electrophoretic and autoradiographic analyses of fat body proteins. These results support the hypothesis that there is little selection pressure on the LSP1- gene to acquire dosage compensation.H.W.B. acknowledges a Commonwealth Scholarship. This work was supported by an SRC grant to D.B.R.     

Arabinoxylan-degrading enzyme system of the fungusAspergillus awamori: purification and properties of an α-l-arabinofuranosidase

An -l-arabinofuranosidase produced by the fungusAspergillus awamori had molecular mass of approximately 64 kDa on sodium dodecyl sulphate/polyacrylamide gel electrophoresis (SDS-PAGE) and was optimally active at pH 4.6 and 50°C. The enzyme, which chromatographed as a single component on SDS-PAGE, appeared to consist of two iso-enzymes of pI 3.6 and 3.2. Acting in isolation, the -l-arabinofuranosidase had only a very limited capacity to releasel-arabinose (less than 11%) directly from arabinoxylans that had been extracted from a number of plant cell wall preparations using 18% alkali, but a much higher proportion of thel-arabinose (46%) was released from a wheat straw arabinoxylan that had been isolated by steam treatment. There was a marked synergistic effect between the -l-arabinofuranosidase and an endo-(1 4)--d-xylanase produced byA. awamori in both the rate and extent of the release ofl-arabinose from both oat straw and wheat straw arabinoxylans, suggesting thatl-arabinose-substituted oligosaccharides generated by the endoxylanase action were better substrates for enzyme action. A novel property of the -l-arabinofurasidase was its capacity to release a substantial proportion (42%) of feruloyll-arabinose from intact wheat straw arabinoxylan. The concerted action of the -l-arabinofuranosidase and endoxylanase released 71% of the feruloyll-arabinose and 69% of thep-coumaroyll-arabinose substituents from the wheat straw arabinoxylan.     

Determining the minimum sample size required to obtain sufficient progeny with a desired genotype at two quantitative trait loci

In this paper we determine the minimum progeny sample size n needed to obtain, with probability , at least m individuals of a desired two-locus genotype affecting quantitative traits. The two quantitative trait loci (QTLs) of interest may be linked or independent, with or without epistatic interaction between them. Parental genotypes may be known or unknown, and gene action at either locus may range from additive to overdominance. To reduce the required sample size, mating patterns that will produce a high proportion of desired progeny are suggested for different progeny genotypes and dominance levels. Based on the assumption of normally distributed quantitative trait expression, individuals can be classified into a genotype or genotypic group according to their phenotypic expressions. This technique is used to select both parents and progeny with unknown genotypes. Choice of parental classification criteria for a given quantitative trait affects classification accuracy, and hence the probability of obtaining progeny of the desired genotype. The complexity of this probability depends on the dominance level at each locus, the recombination fraction, and the awareness of parental genotypes. The procedure can be expanded to deal with more than two loci.BU-1168-MB in the Biometrics Unit Technical Report Series, 337 Warren Hall, Cornell University, Ithaca, NY 14853, USAFormerly known as S.-F. Shyu     

Mutagen specificity in the induction of karyotic versus cytoplasmic respiratory deficient mutants in yeast by nitrous acid and alkylating nitrosamides

Summary In the haploid eukaryotic organism Saccharomyces cerevisiae the induction of cytoplasmic and genic (karyotic) RD mutants was studied, using nitrous acid, nitrosomethylurethane (NMU) and nitrosoimidazolidone (NIL).The cytoplasmic or genic origin of the induced RD mutants was determined by prescreening in complementation tests with ^– and wild type tester strains. Among the mutants of all three agents we could thus score the incidence of three RD mutant types: genic, suppressive and cytoplasmic (both primary and secondary). The final identification of the cytoplasmic type was only possible through tetrad analysis, performed in the cases of HNO₂ and NMU.A distinct difference in cytoplasmic versus genic mutagen specificity was observed between HNO₂ and NMU. HNO₂ was unable to induce cytoplasmic RD mutants but it proved to be highly efficient in the induction of genic RD mutants. In contrast, NMU induced more cytoplasmic effects was it possible to detect mutagenic specificities which, solely on the basis of karyotic action, were not detectable.     

Anecdotal,Historical and Critical Commentaries on Genetics: Wright and Fisher on Inbreeding and Random Drift

Sewall Wright and R. A. Fisher often differed, including on the meaning of inbreeding and random gene frequency drift. Fisher regarded them as quite distinct processes, whereas Wright thought that because his inbreeding coefficient measured both they should be regarded as the same. Since the effective population numbers for inbreeding and random drift are different, this would argue for the Fisher view.SEWALL Wright and R. A. Fisher were central figures in mathematical population genetics; along with J. B. S. Haldane they effectively invented the field and dominated it for many years. On most issues the three were in agreement. In particular, all favored a neo-Darwinian gradualist approach and believed in the importance of a mathematical theory for understanding the evolutionary process. Yet on a few questions Fisher and Wright differed profoundly and argued vehemently. Fisher was contentious and was often involved in controversy, frequently attacking his opponents mercilessly. Wright, in contrast, was very gentle to most people. But there were a few exceptions and Fisher was one. Haldane mostly stayed out of the arguments between them.One question on which the two disagreed was the importance of random gene frequency drift and its role in Wright''s shifting-balance theory of evolution. Wright thought that a structured population with many partially isolated subpopulations, within which there was random drift and among which there was an appropriate amount of migration, offered the greatest chance for evolutionary novelty and could greatly increase the speed of evolution. Fisher thought that a large panmictic population offered the best chance for advantageous genes and gene combinations to spread through the population, unimpeded by random processes. They also disagreed on dominance, Fisher believing that it evolved by selection of dominance modifiers and Wright that it was a consequence of the nature of gene action. These differences were widely argued by population geneticists in the middle third of the twentieth century, and the interested community divided into two camps. Although the issues are not settled, Wright''s shifting-balance theory has less support than it formerly had. As for dominance, there is general quantitative disagreement with Fisher''s explanation of modifiers, but other mechanisms (e.g., selection for more active alleles) have to some extent replaced it. Wright''s theory remains popular and has been generalized and extended (Kacser and Burns 1973).