Marriage structure of the Kharkov population according to nationality and birthplace

Positive assortative mating for birthplace and nationality has been revealed by means of sample analysis of couples married in two districts of Kharkov in 1960 and 1985. The contingency coefficient measuring the association between birth places of husband and wife was K = 0.15 in one district in 1960 and K = 0.18 in the other, these values being K = 0.16 and K = 0.18 for these districts, respectively, in 1985. A higher degree of assortative mating was observed for the nationality character: K = 0.40 and K = 0.21 in 1960 and K = 0.23 and K = 0.25 in 1985. The mean marriage substance increased from 578 to 699 km for 25 years.     

Genetic demographic structure of the Belgorod population: age, ethnicity, education, and occupation

Data from marriage records of the city of Belgorod for 1960, 1985, and 1995 have been used to determine some parameters of population structure in this city. The coefficients of correlation with respect to age of marriage between spouses in the couples contracting marriages in these years were 0.74, 0.62, and 0.80, respectively. Women of reproductively unfavorable age (under 20 or over 30 years) accounted for 5.5, 0.83, and 19% of all women contracting marriages in these years, respectively. The proportions of interethnic marriages in these years were 16.9, 14.9, and 15.6%, respectively. The percentage of Slavs decreased from 99 to 97% during the 35 years studied, whereas the proportion of Russians insignificantly increased (from 90.4 to 91.4%). The proportion of Caucasian ethnic groups increased by six time (from 0.3 to 1.8%), and that of other non-Slavic ethnic groups increased by almost two times (from 0.7 to 1.2%). The marriage convergence (K) with respect to ethnicity (0.095, 0.106, and 0.090 in 1960, 1985, and 1995, respectively) was lower than that with respect to education (0.296 and 0.350 in 1985 and 1995, respectively) or occupation (0.212 and 0.231 in 1985 and 1995, respectively). The maximum coefficients of ethnically, educationally, and occupationally assortative marriage have been found, respectively, in ethnic minority groups (A' = 20%); in persons with higher and primary education (A' = 37.5 and A' = 49.9%, respectively); and in the military officers/soldiers, engineers, healthcare professionals, and researchers (the respective A' values are 65.6, 32.2, 31.5, and 39.8%).     

Genetic demographic parameters of the marriage structure of the Yevpatoria population

Records on marriages contracted in the city of Yevpatoria, Ukraine in 1960/1961, 1985, 1993, and 1994/1995 were used to determine some parameters of the city population structure. The coefficients of correlation with respect to the age of marriage in reproductive-age couples contracting marriages in these years were 0.77, 0.81, and 0.80, respectively. Women that contracted marriages at reproductively unfavorable ages (under 20 and over 30 years) in the respective years constituted 28.3, 40.6, and 45.4% of the total sample. The proportions of interethnic marriages in these years were 39.4, 43.9, and 46.6%. The proportion of Slavs decreased from 94 to 91% during 35 years, but the proportion of Ukrainians increased from 23.1 to 26.5%. The proportion of other ethnic groups (Tatars, Armenians, Karaites, Poles, Germans, etc.) increased from 3 to 8.6%. The marriage contingency with respect to ethnicity (K = 0.26 in 1960/1961, K = 0.22 in 1985, and K = 0.28 in 1994/1995) was higher than with respect to education (K = 0.18 in 1985 and K = 0.23 in 1993) or occupation (K = 0.18 in 1960/1961, K = 0.17 in 1985, and K = 0.23 in 1994/1995). The marriage assortativeness with respect to ethnicity was the highest in ethnic minorities (A' = 55.1%); that with respect to education, in persons who had higher or primary education (A' = 40.1% and A'= 78.0%, respectively); and that with respect to occupation, in students, military personnel, and production workers (60.6, 58.7, and 30.9%).     

The role of migration processes in the formation of marriage structure of Moscow population. II. Assortative mating for the age, birthplace and nationality

Positive assortative mating for age at marriage, birthplace and nationality has been revealed by means of sample analysis of couples married in Moscow in 1955 and 1980. The correlation coefficient between mates for age at marriage was r = 0.81 in 1955 and r = 0.88 in 1980; the age difference between spouses had a mean of 1.55 and 2.21 years, respectively. The determinative role of migration in forming Moscow population marriage structure accounts for the fact that the greater part of marriages registered in the capital are between migrants from various regions of the USSR or between the Moscow-born and the migrants. The proportion of marriages between individuals born in Moscow has increased over 25 years from 10 to 38%, these values being significantly higher than those expected under random mating between the migrants and the Moscow-born. The contingency coefficient measuring the association between the birthplaces of husband and wife was K = 0.16 in 1955 and K = 0.11 in 1980, the preferential marriage between mates born in the same region being still significant even when marriages are registered in Moscow. The highest degrees of assortative mating were observed for nationality character: K = 0.37 in 1955 and K = 0.28 in 1980. The decrease in these values over the past 25 years has resulted in a slight growth of the proportion of international marriages (from 14.75 to 16.53%) which has not yet reached the level expected under panmixia (about 21%).     

Sexual size dimorphism and assortative mating for morphological traits in Passer domesticus

In this study, assortative mating for different morphological traits was studied in a captive population of house sparrows (Passer domesticus). Males were larger than females. Assortative mating was found for tail length, wing length and general body size. Males with larger badge size mated with females with longer tails. The strongest assortative mating occurred for tail length (r=0.77), and this assortative mating remained significant after controlling for wing length, mass and tarsus length, suggesting that it was not an artefact of assortative mating for body size. The possibility of sexual selection for tail length in the house sparrow is discussed.     

Direct and indirect assortative mating: a multivariate approach to plant flowering schedules

This paper develops methods to partition the phenotypic correlation between mates for a focal trait--the standard measure for assortative mating--into a direct component and additional indirect components. Indirect assortative mating occurs when a nonassorting trait is correlated within individuals to a directly assorting trait. Direct and indirect assortative mating is assessed for flowering phenology in Brassica rapa. The flowering time of pollen recipients (mothers) was strongly correlated (rho=0.67) to that of potential pollen donors (fathers). Similarly, recipients and donors were correlated for duration of their flowering periods (rho=0.32) and stem diameters (rho=0.52). A partitioning of between-mate correlations revealed direct assortative mating for flowering time and period duration. However, assortment for stem diameter is explained solely through its correlation to flowering time. Examination of standard quantitative genetic theory shows that indirect assortative mating inflates genetic variance in a focal trait and the genetic covariance between focal and phenotypically correlated traits.     

Rules for assortative mating in relation to selection for linear merit functions

Summary This study examined how assortative mating (without selection) based on linear combinations of two traits could be used to change genetic parameters so as to increase efficiency of selection. The efficiency of the Smith-Hazel index for improvement of multiple traits is a function of phenotypic and genetic variances and covariances, and of the relative economic values of the traits involved. Assortative mating is known to change genetic variances and covariances. Recursive formulae were derived to obtain these variances and covariances after t generations of assortative mating on linear combinations (mating rules) of phenotypic values for two traits, with a given correlation between mates. Selection efficiency after t generations of assortative mating without selection was expressed as a function of random mating genetic parameters, economic values, the mating rule, and the correlation between mates. Selection efficiency was maximized with respect to the coefficients in the mating rule. Because the objective function was nonlinear, a computer routine was used for maximizing it. Two cases were considered. When random mating heritabilities for the two traits were h _X ² =0.25 and h _Y ² =0.50, the genetic correlation r_XY=-0.60, and the economic values were a_X=3 and a_Y=1, continued assortative mating based on the optimal mating rule for 31 generations (with a correlation of 0.80 between mates) increased selection efficiency by 29%. Heritabilities changed to 0.38 and 0.66, respectively, and the genetic correlation became – 0.79. When h _X ² =0.60, h _Y ² =0.60, r_XY=– 0.20, a₁=1 and a₂=1, 36 generations of continued assortative mating with the optimal mating rule increased the efficiency of selection by 17%, heritabilities became h _X ² = h _Y ² =0.71, and the genetic correlation changed to 0.25. Only three generations of assortative mating were required to change the sign of the genetic correlation.     

Sexual selection and assortative mating by size and their roles in the maintenance of a polymorphism in Swedish Littorina saxatilis populations

Two independent components of mating behaviour, sexual selection and assortative mating, were studied in two allopatric morphs, one sheltered boulder shore form (S-morph) and one exposed cliff shore form (E-morph), of Littorina saxatilis from the west coast of Sweden. Sexual selection was studied by comparing the sizes of copulating and non-copulating snails in the field. Size assortative mating was studied by collecting copulating pairs in the field, while assortative mating between morphs was investigated by bringing the pure morphs together in intermediary habitats and then noting the matings. The S-morph mated randomly in relation to size in two of the studied populations and exhibited a trend towards size assortative mating in a third, while the E-morph showed size assortative mating in both studied populations. The microdistribution of sizes of snails on the shores could not explain all the size assortative mating found, and instead it is argued that a size-based mate rejection behaviour also contributes to the assortative mating in at least some of these populations. There was sexual selection on size in both males and females in the S-morph, with large individuals being favoured as mates. In contrast, copulating snails of the E-morph were smaller than non-copulating ones. The significantly different sexual selection intensities between the two morphs may help to explain the size differences between them. There was random mating between the E- and the S-morphs of L. saxatilis, which suggests no incipient reproductive isolation between morphs on Swedish rocky shores. This is in agreement with earlier studies of Swedish populations, but is in contrast to the situation found in other geographical areas.     

Assortative mating for fitness and the evolution of recombination

To understand selection on recombination, we need to consider how linkage disequilibria develop and how recombination alters these disequilibria. Any factor that affects the development of disequilibria, including nonrandom mating, can potentially change selection on recombination. Assortative mating is known to affect linkage disequilibria but its effects on the evolution of recombination have not been previously studied. Given that assortative mating for fitness can arise indirectly via a number of biologically realistic scenarios, it is plausible that weak assortative mating occurs across a diverse set of taxa. Using a modifier model, we examine how assortative mating for fitness affects the evolution of recombination under two evolutionary scenarios: selective sweeps and mutation-selection balance. We find there is no net effect of assortative mating during a selective sweep. In contrast, assortative mating could have a large effect on recombination when deleterious alleles are maintained at mutation-selection balance but only if assortative mating is sufficiently strong. Upon considering reasonable values for the number of loci affecting fitness components, the strength of selection, and the mutation rate, we conclude that the correlation in fitness between mates is unlikely to be sufficiently high for assortative mating to affect the evolution of recombination in most species.     

Genetic Demographic Structure of the Belgorod Population: Age,Ethnicity, Education,and Occupation

Data from marriage records of the city of Belgorod for 1960, 1985, and 1995 have been used to determine some parameters of population structure in this city. The coefficients of correlation with respect to age of marriage between spouses in the couples contracting marriages in these years were 0.74, 0.62, and 0.80, respectively. Women of reproductively unfavorable age (under 20 or over 30 years) accounted for 5.5, 0.83, and 19% of all women contracting marriages in these years, respectively. The proportions of interethnic marriages in these years were 16.9, 14.9, and 15.6%, respectively. The percentage of Slavs decreased from 99 to 97% during the 35 years studied, whereas the proportion of Russians insignificantly increased (from 90.4 to 91.4%). The proportion of Caucasian ethnic groups increased by six time (from 0.3 to 1.8%), and that of other non-Slavic ethnic groups increased by almost two times (from 0.7 to 1.2%). The marriage convergence (K) with respect to ethnicity (0.095, 0.106, and 0.090 in 1960, 1985, and 1995, respectively) was lower than that with respect to education (0.296 and 0.350 in 1985 and 1995, respectively) or occupation (0.212 and 0.231 in 1985 and 1995, respectively). The maximum coefficients of ethnically, educationally, and occupationally assortative marriage have been found, respectively, in ethnic minority groups (A′ = 20%); in persons with higher and primary education (A′ = 37.5 and 49.9%, respectively); and in the military officers/soldiers, engineers, healthcare professionals, and researchers (the respective A′ values are 65.6, 32.2, 31.5, and 39.8%).__________Translated from Genetika, Vol. 41, No. 6, 2005, pp. 823–829.Original Russian Text Copyright © 2005 by Atramentova, Filiptsova.     

Analysis of partial assortative mating and sexual selection models for a polygamous species involving a trait based on levels of heterozygosity

The consequences of preferential mating in the presence of partial assortative and sexual selection mechanisms are ascertained for a two-allele one-locus trait involving two phenotype classes C₁ = {all homozygotes} and C₂ = {heterozygotes}. Relevant biological cases may include Burley (1977, Proc. Nat. Acad. Sci. USA74, 3476–3479), Wilbur et al. (1978, Evolution32, 264–270), and Singh and Zouros (1978, Evolution32, 342–353). When the preference rate for the heterozygote exceeds that for homozygotes, it is established that the unique stable state is the central Hardy-Weinberg equilibrium. The rate of approach is faster with sexual selection than for the corresponding model of assortative mating. When the preference rates favor the homozygotes then in this symmetric model of sexual selection two asymmetric Hardy-Weinberg polymorphisms can evolve, and which succeeds depends on initial conditions. The models are also analyzed with natural selection acting on phenotypes superimposed on assortative mating. In this case we can have up to three coexisting stable states involving both fixation alternatives and a central polymorphism. The corresponding model with sexual selection maintains either the central equilibrium as in assortative mating or two asymmetric polymorphic equilibria.     

Morphological differentiation may mediate mate-choice between incipient species of Anopheles gambiae s.s

The M and S molecular forms of Anopheles gambiae s.s. have been considered incipient species for more than ten years, yet the mechanism underlying assortative mating of these incipient species has remained elusive. The discovery of the importance of harmonic convergence of wing beat frequency in mosquito mating and its relation to wing size have laid the foundation for exploring phenotypic divergence in wing size of wild populations of the two forms. In this study, wings from field collected mosquitoes were measured for wing length and wing width from two parts of the sympatric distribution, which differ with respect to the strength of assortative mating. In Mali, where assortative mating is strong, as evidenced by low rates of hybridization, mean wing lengths and wing widths were significantly larger than those from Guinea-Bissau. In addition, mean wing widths in Mali were significantly different between molecular forms. In Guinea-Bissau, assortative mating appears comparatively reduced and wing lengths and widths did not differ significantly between molecular forms. The data presented in this study support the hypothesis that wing beat frequency may mediate assortative mating in the incipient species of A. gambiae and represent the first documentation of a morphological difference between the M and S molecular forms.     

Assortative mating by colored ornaments in blue tits: space and time matter

Assortative mating is a potential outcome of sexual selection, and estimating its level is important to better understand local adaptation and underlying trait evolution. However, assortative mating studies frequently base their conclusions on small numbers of individuals sampled over short periods of time and limited spatial scales even though spatiotemporal variation is common. Here, we characterized assortative mating patterns over 10 years in four populations of the blue tit (Cyanistes caeruleus), a passerine bird. We focused on two plumage ornaments—the blue crown and the yellow breast patch. Based on data for 1,657 pairs of birds, we found large interannual variation: assortative mating varied from positive to negative. To determine whether there was nonetheless a general trend in the data, we ran a within‐study meta‐analysis. It revealed that assortative mating was moderately positive for both ornaments. It also showed that mating patterns differed among populations and especially between two neighboring populations that displayed phenotypic divergence. Our results therefore underscore that long‐term studies are needed to draw broad conclusions about mating patterns in natural populations. They also call for studying the potential role of assortative mating in local adaptation and evolution of ornaments in both sexes.     

Assortative mating between two distinct micro-allopatric populations of Littorina saxatilis (Olivi) on the northeast coast of England

Size assortative mating is a common invertebrate mating pattern and is usually accompanied by male and female sexual selection, and these three behaviours can contribute to reproductive isolation. Two distinct populations of the marine prosobranch Littorina saxatilis, H and M, occur within 15 m of each other on the same shore. Previous studies have demonstrated that these two forms have different reproductive strategies and that the rare hybrids between the two forms show evidence of reproductive dysfunction and hence are less fit than the assumed parental forms. In both populations, female shell height was shown to be a predictor of the number of embryos contained within the brood pouch. The mean shell height of the M population was significantly larger than that of the H population, and the M population matures at a larger shell size than the H population. The two populations show complete assortative mating to type in the field, and occupy different microhabitats on the same shore. Therefore, laboratory-based experiments were performed to determine if assortative mating was maintained in sympatry and also to determine the effect of population density on mate choice. The males of both populations showed sexual selection for female size, choosing to mate with females approximately 10% larger than themselves from an assortment of female sizes. The M population showed complete assortative mating to type, irrespective of the density of H and M females, whereas at low densities the H males did occasionally mate with M females. The role of assortative mating and reinforcement (due to natural selection acting against the less fit hybrids), in maintaining the partial reproductive barrier between the two populations is discussed.     

Negative‐assortative mating for color in wolves

There is strong negative‐assortative mating for gray and black pelage color in the iconic wolves in Yellowstone National Park. This is the first documented case of significant negative‐assortative mating in mammals and one of only a very few cases in vertebrates. Of 261 matings documented from 1995 to 2015, 63.6% were between gray and black wolves and the correlation between mates for color was –0.266. There was a similar excess of matings of both gray males × black females and black males × gray females. Using the observed frequency of negative‐assortative mating in a model with both random and negative‐assortative mating, the estimated proportion of negative‐assortative mating was 0.430. The estimated frequency of black wolves in the population from 1996 to 2014 was 0.452 and these frequencies appear stable over this 19‐year period. Using the estimated level of negative‐assortative mating, the predicted equilibrium frequency of the dominant allele was 0.278, very close to the mean value of 0.253 observed. In addition, the patterns of genotype frequencies, that is, the observed proportion of black homozygotes and the observed excess of black heterozygotes, are consistent with negative‐assortative mating. Importantly these results demonstrate that negative‐assortative mating could be entirely responsible for the maintenance of this well‐known color polymorphism.     

A quantitative genetic competition model for sympatric speciation

I use multilocus genetics to describe assortative mating in a competition model. The intensity of competition between individuals is influenced by a quantitative character whose value is determined additively by alleles from many loci. With assortative mating based on this character, frequency- and density-dependent competition can subdivide a population with an initially unimodal character distribution. The character distribution becomes bimodal, and the subpopulations corresponding to the two modes are reproductively separated because mating is assortative. This happens if the resource distribution is unimodal, i.e. even if selection due to phenotypic carrying capacities is not disruptive. The results suggest that sympatric speciation due to frequency-dependent selection can occur in quite general ecological scenarios if mating is assortative. I also discuss the evolution of assortative mating. Since it induces bimodal phenotype distributions, assortative mating leads to a better match of the resources if their distribution is also bimodal. Moreover, in a population with a bimodal phenotype distribution, the average strength of frequency-dependent competition is lower than in a unimodal population. Therefore, assortative mating permits higher equilibrium densities than random mating even if the resource distribution is unimodal. Thus, even though it may lead to a less efficient resource use, assortative mating is favoured over random mating because it reduces frequency-dependent effects of competition.     

Prediction of Response to Selection and Inbreeding Coefficient under Assortative Mating

A method for predicting response to selection and inbreeding coefficient under the continuous use of assortative mating was derived. Using the method, numerical computation was carried out, and the utility of assortative mating in the selection programmes was evaluated. It was shown that the continuous use of assortative mating could not produce an appreciable additional increase in intermediate- or long-term selection response.     

On the origin of species by means of assortative mating.

Assortative mating may split a population even in the absence of natural selection. Here, we study when this happens if mating depends on one or two quantitative traits. Not surprisingly, the modes of assortative mating that can cause sympatric speciation without selection are rather strict. However, some of them may occur in nature. Slow elimination of intermediate individuals caused by the gradual tightening of assortative mating, which evolves owing to relatively weak disruptive selection, provides the alternative scenario for sympatric speciation, in addition to fast elimination of intermediate individuals as a result of the direct action of strong disruptive selection under an invariant mode of assortative mating. Even when assortative mating alone cannot split an initially coherent population, it may be able to prevent the merging of species after their secondary contact.     

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.     

Assortive mating for personaltiy traits, educational level, religious affiliation, height, weight, adn body mass index in parents of Korean twin sample.

The degree of assortative mating for psychological and physical traits in Asian societies in relatively unknown. The present study examined assortative mating for educational level, personality traits, religious affiliation, height, weight, and body mass index in a korean sample. Age-adjusted spouse correlations were high for educational level (r = .63) and religious affiliation (r = .67), modest for most personality traits (rs = -.01 to .26), and trivial for height (r = .04), weight (r = .05)m and body mass index (r = .11). These results were remarkably similar to those found from the western samples. Implications of the present findings in behavior genetic studies and human mating patterns were briefly discussed.