Modifiers of mutation rate: a general reduction principle

A deterministic two-locus population genetic model with random mating is studied. The first locus, with two alleles, is subject to mutation and arbitrary viability selection. The second locus, with an arbitrary number of alleles, controls the mutation at the first locus. A class of viability-analogous Hardy-Weinberg equilibria is analyzed in which the selected gene and the modifier locus are in linkage equilibrium. It is shown that at these equilibria a reduction principle for the success of new mutation-modifying alleles is valid. A new allele at the modifier locus succeeds if its marginal average mutation rate is less than the mean mutation rate of the resident modifier allele evaluated at the equilibrium. Internal stability properties of these equilibria are also described.     

A first set of gene-derived polymorphic microsatellite markers in half-smooth tongue sole (<Emphasis Type="Italic">Cynoglossus semilaevis</Emphasis>)

Half-smooth tongue sole (Cynoglossus semilaevis) is a commercially important marine fish species in China. A set of type I microsatellite markers were identified through bioinformatic mining of the GenBank database. Thirteen of these markers showed polymorphisms through genotyping a sample of 30 individuals. A total of 47 alleles were detected, with an average of 3.6 alleles per locus. The number of alleles, observed and expected heterozygosity per locus ranged from two to five, from 0.14 to 0.93 and from 0.27 to 0.77, respectively. Three loci significantly deviated from Hardy-Weinberg equilibrium after Bonferroni correction (P < 0.0038) and no significant linkage disequilibrum between pairs of loci was found. The markers identified in this study will contribute to construction of genetic linkage maps and mapping of quantitative trait loci (QTL) of C. semilaevis.     

A multilocus-multiallele analysis of frequency-dependent selection induced by intraspecific competition

The study of the mechanisms that maintain genetic variation has a long history in population genetics. We analyze a multilocus-multiallele model of frequency- and density-dependent selection in a large randomly mating population. The number of loci and the number of alleles per locus are arbitrary. The n loci are assumed to contribute additively to a quantitative character under stabilizing or directional selection as well as under frequency-dependent selection caused by intraspecific competition. We assume the strength of stabilizing selection to be weak, whereas the strength of frequency dependence may be arbitrary. Density-dependence is induced by population regulation. Our main result is a characterization of the equilibrium structure and its stability properties in terms of all parameters. It turns out that no equilibrium exists with more than two alleles segregating per locus. We give necessary and sufficient conditions on the strength of frequency dependence to ensure the maintenance of multilocus polymorphism. We also give explicit formulas on the number of polymorphic loci maintained at equilibrium. These results are based on the assumption that selection is sufficiently weak compared with recombination, so that linkage equilibrium can be assumed. If additionally the population size is assumed to be constant, we prove that the dynamics of the model form a generalized gradient system. For the model in its general form we are able to derive necessary and sufficient conditions for the stability of the monomorphic equilibria. Furthermore, we briefly analyze a special symmetric two-locus two-allele model for a constant population size but allowing for linkage disequilibrium. Finally, we analyze a single diallelic locus with dominance to illustrate the complications that can occur if the assumption of additivity is relaxed.     

The multiple-locus symmetric fertility model

Selection due to variation in the fecundity among matings of genotypes with respect to many loci each with two alleles is studied. The fitness of a mating depends only on the genotypic distinction between homozygote and heterozygote at each locus in the two individuals, and differences among loci are allowed. This symmetric fertility model is therefore a generalization of the multiple-locus symmetric viability model. The phenomena seen in the two-locus symmetric fertility model generalize—e.g., the possibility of joint stability of equilibria with linkage equilibrium and with linkage disequilibrium, and the existence of different types of totally polymorphic equilibria with the gametic proportions in linkage equilibrium. The central equilibrium with genotypic frequencies in Hardy-Weinberg proportions and gametic frequencies in Robbins proportions exists for all symmetric fertility models. For some symmetric fertility regimes additional equilibria exist with gametic frequencies in linkage equilibrium and with genotypic frequencies in Hardy-Weinberg proportions at all except one locus. These equilibria may exist in the dioecious symmetric viability model, and then they will be locally stable. For free recombination the stable equilibria show linkage equilibrium, but several of these with different numbers of polymorphic loci may be stable simultaneously.     

Isolation and characterization of variable microsatellite loci in Lilium philadelphicum (Liliaceae)

Here we describe the characterization of six polymorphic microsatellite loci for Lilium philadelphicum (Liliaceae). Polymorphism levels ranged from 7 to 30 alleles per locus with a mean number of 15 alleles per locus. Observed heterozygosity (H_O) ranged from 0.17 to 0.82 and did not deviate from Hardy–Weinberg expectations in the three western Montana populations included in the analysis. These loci are proving useful in studying gene flow between populations of this species distributed across its range in North America.     

Selection in complex genetic systems IV. Multiple alleles and interactions between two loci

Summary A symmetric viability model for two loci with two alleles at one locus and m alleles at the other is suggested and analyzed. The analysis of the equilibria is complete if the two loci are absolutely linked, while if recombination is allowed the analysis is incomplete. The dynamics of the mode! resemble those of the two locus two allele model, namely that for loose linkage there will be no correlation between the loci and for tight linkage there may be strong correlation. The major caveats to this are: 1. The equilibria stable for tight linkage may belong to an array of different structures dependent on the selection and the number of alleles. 2. If both loci are overdominant in viability, the stable equilibria always contain all alleles segregating in the population; otherwise, the stable equilibria may only be two locus two allele high complementarity equilibria for tight linkage. 3. For intermediate linkage values and special selection values the boundary two locus two allele high complementarity equilibria may be stable simultaneously with the totally polymorphic central point at which there is no association between the loci.Dedicated to the memory of Ove Frydenberg.Research supported in part by a grant from the Danish Natural Science Research Council, a grant from National Science Foundation, U.S.A., and by USPHS grant NIH 10452-09-11.     

Isolation and characterization of 31 polymorphic microsatellite markers in barfin flounder (Verasper moseri) and the cross-species amplification in spotted halibut (Verasper variegatus)

The construction of a genetic linkage map and evaluation of population genetic diversity both require large numbers of polymorphic molecular markers. In the present study, we report 31 polymorphic microsatellite markers, of which 28 were isolated from two repeat-enriched libraries constructed from genomic DNA, and three were detected in two genes (MCH-R1 and MCH-R2) of barfin flounder (Verasper moseri). A total of 94 alleles were detected with an average of 3.0 alleles per locus. The number of alleles, observed and expected heterozygosity per locus ranged from two to six, from 0.30 to 1.00 and from 0.33 to 0.78, respectively. Three loci significantly deviated from Hardy-Weinberg equilibrium after Bonferroni correction (P < 0.0016) and no significant linkage disequilibrum between pairs of loci was found. Cross-species amplification of these markers was evaluated using the closely related species spotted halibut (Verasper variegatus). This study will potentially be useful for stock management, constructing of a genetic linkage map, mapping economically important quantitative trait loci (QTL), and studying the population genetic diversity of barfin flounder (Verasper moseri).     

Population genetic structure of wild boars in the West Balkan region

We investigated the population genetic structure of wild boars from Vojvodina (Serbia), Slavonija (Croatia) and Bosnia using four microsatellite markers. All loci presented a high degree of polymorphism and a total of 76 alleles (mean 19 alleles per locus) were detected. Average observed heterozygosity (H _o) value was 0.60. Deviation from Hardy-Weinberg equilibrium was found due to significant heterozygote deficiency detected for three of the four analyzed loci and for all populations. F _IS value over all loci and all populations was 0.29, and the effective number of migrants based on private alleles was 1.64. Sufficient levels of gene flow were found between all populations and the spatial structure showed slightly closer nuclear gene pool affinity of Vojvodina and Slavonija populations in relation of Bosnia population.     

Epistasis in the multiple locus symmetric viability model

The n-locus two-allele symmetric viability model is considered in terms of the parameters measuring the additive epistasis in fitness. The dynamics is analysed using a simple linear transformation of the gametic frequencies, and then the recurrence equations depend on the epistatic parameters and Geiringer's recombination distribution only. The model exhibits an equilibrium, the central equilibrium, where the 2 ⁿ gametes are equally frequent. The transformation simplifies the stability analysis of the central point, and provides the stability conditions in terms of the existence conditions of other equilibria. For total negative epistasis (all epistatic parameters are negative) the central point is stable for all recombination distributions. For free recombination either a central point (segregating one, two, ... or n loci) or the n-locus fixation states are stable. For no recombination and some epistatic parameters positive the central point is unstable and several boundary equilibria may be locally stable. The sign structure of the additive epistasis is therefore an important determinant of the dynamics of the n-locus symmetric viability model. The non-symmetric multiple locus models previously analysed are dynamically related, and they all have an epistatic sign structure that resembles that of the multiplicative viability model. A non-symmetric model with total negative epistasis which share dynamical properties with the similar symmetric model is suggested.Supported in part by NIH grant GM 28016, and by grant 81-5458 from the Danish Natural Science Research Council     

Development and characterization of 13 novel microsatellite loci from the flat-headed bat (Tylonycteris pachypus) with cross-species amplification in closely related taxa

13 novel microsatellite loci was isolated using the enriched library method from genomic DNA of the flat-headed bat (Tylonycteris pachypus). These loci showed high levels of genetic polymorphism testing on 54 individuals sampled from Guangxi province, China. The number of observed alleles per locus ranged from 2 to 15. The expected and observed heterozygosity values ranged from 0.170 to 0.900 and from 0.185 to 0.944, respectively. One loci departed significantly from Hardy-Weinberg equilibrium (HWE) after Bonferroni correction and no Linkage disequilibrium was found between any pairs of loci. In addition, these loci were tested in the sister species, Tylonycteris robustula, seven loci amplified successfully and were also polymorphic.     

Polymorphic microsatellite loci for the cardinal fish (<Emphasis Type="Italic">Apogon imberbis</Emphasis>)

Eight polymorphic microsatellite loci were isolated and characterized for the Cardinal fish (Apogon imberbis), a coastal-reef fish endemic to the Mediterranean Sea. Characterization of 30 Cardinal fish individuals form the western Mediterranean showed moderate to high allelic diversity ranging from 6 to 19 alleles per locus. Two loci showed significant departures from Hardy-Weinberg equilibrium presumably due to null alleles. No evidence of linkage disequilibrium was found for any locus pairwise comparasions. This microsatellite set could be useful for any basic population genetic studies of this species.     

Allelic variation at (TAA)n microsatellite loci in a world collection of chickpea (Cicer arietinum L.) germplasm

A set of 12 randomly selected (TAA)_n microsatellite loci of the cultivated chickpea (Cicer arietinum L.) were screened in a worldwide sample comprising 72 landraces, four improved cultivars and two wild species of the primary gene pool (C. reticulatum and C. echinosperum) to determine the level and pattern of polymorphism in these populations. A single fragment was amplified from all the accessions with each of 12 sequence-tagged microsatellite site markers, except for one locus where no fragment was obtained from either of the two wild species. There was a high degree of intraspecific polymorphism at these microsatellite loci, although isozymes, conventional RFLPs and RAPDs show very little or no polymorphism. Overall, the repeat number at a locus (excluding null alleles) ranged from 7 to 42. The average number of alleles per locus was 14.1 and the average genetic diversity was 0.86. Based on the estimates obtained, 11 out of the 12 frequency distributions of alleles at the loci tested can be considered to be non-normal. A significant positive correlation between the average number of repeats (size of the locus) and the amount of variation was observed, indicating that replication slippage may be the molecular mechanism involved in generation of variability at the loci. A comparison between the infinite allele and stepwise mutation models revealed that for 11 out of the 12 loci the number of alleles observed fell in between the values predicted by the two models. Phylogenetic analysis of microsatellite polymorphism in C. arietinum showed no relationship between accession and geographic origin, which is compatible with the recent expansion of this crop throughout the world. Received: 18 September 1998 / Accepted: 2 December 1998     

Electrophoretic variability in natural populations of Drosophila melanogaster and Drosophila simulans

Genetic variation at 59 gene loci coding for enzymes (50) and larval proteins (9) has been studied in sympatric populations of Drosophila melanogaster and D. simulans from insular and continental origin. The average number of alleles per locus, the mean proportion of polymorphic loci and the mean heterozygosity are similar both within and between species. There are however some significant differences between D. simulans populations in the genotypic frequencies for four polymorphic loci.     

Nonamplifying alleles at microsatellite loci: a caution for parentage and population studies

While genotyping wild red deer (Cervus elaphus) at microsatellite loci for paternity assignment, we found three loci (MAP65, BOVIRBP and CelJP23) with segregating nonamplifying alleles. Nonamplifying alleles were detected through mismatches between known mother-offspring pairs and by significant deviations from Hardy-Weinberg equilibria. In a wide range of molecular ecology applications, and especially in parentage assignment, the possible existence of undetectable alleles must be taken into account; this may be particularly important for microsatellite data.     

Development of ten new EST-derived microsatellites in Atlantic cod (Gadus morhua L.)

Ten polymorphic microsatellite markers were developed from approximately 1,300 expressed sequence tags (ESTs) of Atlantic cod (Gadus morhua L.). Thirty two primer pairs were designed for EST sequences containing perfect di- tri- tetra- and pentanucleotide motifs and characterised in 96 unrelated fish. Ten markers were successfully amplified with number of alleles from 2 to 13 per locus and observed and expected heterozygosity ranging from 0.03 to 0.69 and 0.03 to 0.74, respectively. Loci Gmo-C131, C132 and C136 deviated from Hardy-Weinberg equilibrium. Genetic linkage disequilibrium analysis between all pairs of the loci showed significant departure from the null hypothesis between loci Gmo-C131 and Gmo-C132 and C128 and Gmo-C133. The gene identity was determined at five of the loci, confirming the associated microsatellites as Type I markers. The new microsatellites reported in this work can be used for conservation and enhancement of wild stocks for commercial harvesting. Jon-Ivar Westgaard and Tekle Tafese have contributed equally to the work.     

Isolation and characterization of 12 polymorphic microsatellite markers from ladyfish (Elops saurus Linnaeus)

Ladyfish (Elops saurus Linnaeus) is an economically important marine fish species. 76 microsatellite loci were isolated from an enriched genomic library of Elops saurus. Twelve of these markers were polymorphic in a test population with alleles per locus ranging from three to nine. The number of observed, expected heterozygosity and polymorphism information content (PIC) per locus in 20 individuals ranged from 0.2000 to 1.0000, 0.1897–0.8846, 0.1769–0.8476, respectively. One markers significantly deviated from Hardy-Weinberg equilibrium after Bonferroni correction analysis and there was no significant linkage disequilibrium found between pairs of markers. As a result, 12 microsatellite markers probably should provide sufficient level of genetic diversity to investigate the fine-scale population structure, stock management and enhancement, genetic linkage map construction and molecular marker-assisted breeding in Elops saurus Linnaeus.     

Development and characterization of eight polymorphic microsatellite loci from Pistacia lentiscus L. (Anacardiaceae)

We have developed a set of eight polymorphic nuclear microsatellite markers for the Mediterranean shrub Pistacia lentiscus by means of an enriched library method. Characterization for the eight loci was carried out on 42 individuals from two populations sampled in southern Spain. The overall number of alleles detected was 59, ranging from three to 13 per locus. Expected heterozygosity per locus and population ranged from 0.139 to 0.895. Two loci albeit only in one population (Seville) departed significantly from Hardy-Weinberg equilibrium expectations and no linkage disequilibrium between pairs of loci was detected. These markers will be used in studies of gene flow across a fragmented landscape.     

Genetic variation and hybridization in SwedishSchoenus (Cyperaceae)

Schoenus ferrugineus andS. nigricans have restricted distributions in Sweden and are almost exclusively confined to calcareous fen habitats. AtS. nigricans sites,S. ferrugineus is usually also present, and hybrids are frequently found. In this report, I used allozymes to estimate the amount of gene flow between the two species, and to compare the partitioning of genetic diversity in each of them. Thirteen loci were analysed at eight different enzyme systems. Seven loci were variable between or within the species. The two species had completely different alleles at two of the seven variable loci, whereas there was overlap at five loci. In all, 22 different alleles were found. Six of these alleles were confined toS. nigricans, and five alleles were confined toS. ferrugineus. Nei's genetic identity was 0.55.—InS. ferrugineus, three loci (23%) were polymorphic, and the average number of alleles per polymorphic locus was 2.0 (each polymorphic locus had two alleles). InS. nigricans, three loci (23%) were polymorphic, and the average number of alleles per polymorphic locus was 2.3.—The proportion of genetic diversity due to variation among sites (G _ST) was fairly similar in the two species, mean over loci = 0.12 inS. ferrugineus and 0.15 inS. nigricans. However, the proportion of genetic diversity due to variation among individuals within sites (G _IS) differed markedly between the two species, mean over loci = 0.54 inS. ferrugineus and 0.17 inS. nigricans. Accordingly, there was a much higher individual heterozygosity inS. nigricans than inS. ferrugineus. — Most hybrids were interpreted as F₁ hybrids. However, a small proportion, 0.5–1.6 %, were F_n hybrids or back-crosses.—On the Swedish mainland, all former occurrences ofS. nigricans are extinct, but viable hybrids are still present at a few sites in southernmost Sweden.     

Development and cross-species testing of western bluebird (Sialia mexicana) microsatellite primers

Western and eastern bluebirds (Sialia mexicana and S. sialis) are socially monogamous passerines that engage in extra‐pair copulations. We obtained microsatellites from S. mexicana and optimized and characterized 15 microsatellite DNA loci in 60 individuals of this species. Primer pairs yielded an average of 13 alleles per locus in western bluebirds (range 3–35 alleles) with an average observed heterozygosity of 0.68 (range 0.27–0.88). All 15 loci also successfully amplified in S. sialis (n = 24), with an average of 11.5 alleles per locus (range 4–26) and an average observed heterozygosity of 0.59 (range 0.22–0.90).     

Polymorphic microsatellite markers of a Pisolithus sp. from a Eucalyptus plantation

We developed six polymorphic microsatellite markers for an ectomycorrhizal Pisolithus sp., which are associated with Eucalyptus camaldulensis in Thailand using a method starting with amplified fragments of intersimple sequence repeats (ISSR). The number of alleles per locus varied between two and five and expected heterozygosities ranged from 0.123 to 0.625. These loci are available for analysis of genetic structure and gene flow in Eucalyptus‐associated Pisolithus spp. populations.