Assortative mating through a mechanism of sexual selection

We propose that assortative mating can arise through a mechanism of sexual selection by active female choice of partners based on a 'self-seeking like' decision rule. Using a mathematical model, we show that a gene can be selected that make females to choose mates that are similar to themselves with respect to an arbitrary tag, even if two independent and unlinked genes determine the preference and the tag. The necessary requisite for this process to apply is an asymmetry between partners, such that the female can choose the male but this one must always accept to mate. The fitness advantage is due to linkage disequilibrium built up between both genes. Simulations have been run to check the algebraic results and to analyse the influence of several factors on the evolution of the system. Any factor that favors linkage disequilibrium also favors the evolution of the preference allele. Moreover, in a large population subdivided in small subpopulations connected by migration, the assortative mating homogenizes the population genotypic structure for the tags in contrast to random mating that maintains most of the variation.     

The dynamics of sexually antagonistic coevolution and the complex influences of mating system and genetic correlation

Sexual conflict has been proposed to be a mediator of speciation but recent theoretical work, as well as empirical studies, suggests that sexual conflict may also be able to prevent speciation and to preserve genetic polymorphism within a species. Here, we develop a population genetic model and study the effects of sexual conflict in a polymorphic population. The morphs mate assortatively based on different sexually antagonistic traits and females are assumed to suffer a cost when the proportion of matching males is high. We consider the model in two different mating systems; promiscuity and polygyny. Our results show that genetic polymorphism may be maintained through negative frequency dependent selection established by assortative mating and female conflict costs. However, the outcome significantly differs between mating systems. Furthermore, we show that indirect selection may have profound effects on the evolutionary dynamics of a sexual conflict.     

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.     

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.     

An Alternative Approach to Modelling the Assortative Mating Process

In this article we demonstrate how the difficulties encountered from consideration of two-sided assortation for a characteristic (or set of characteristics) in human populations can be overcome. This is achieved, essentially, by postulating a socio-environmental variable (based on an individual's lifetime experiences) over which individuals are mating assortatively. The value an individual has on this scale determines his mean value for the characteristic under consideration. In other words, there is a relationship between the characteristic and the socioenvironmental scale. As well, individuals may be mating assortatively for the characteristic under consideration (although not necessarily). Thus we achieve assortative mating for a single characteristic as a result of mixing, simultaneously, over more than just one variable. Expansions to more ‘mixing’ scales than a single socio-environmental variable are quite straightforward.     

ASSORTATIVE MATING AND THE ADAPTIVE LANDSCAPE

The ability of a population to shift from one adaptive peak to another was examined for a two-locus model with different degrees of assortative mating, selection, and linkage. As expected, if the proportion of the population that mates assortatively increases, so does its ability to shift to a new peak. Assortative mating affects this process by allowing the mean fitness of a population to increase monotonically as it passes through intermediate gene frequencies on the way to a new, higher, homozygotic peak. Similarly, if the height of the new peak increases or selection against intermediates becomes less severe, the population becomes more likely to shift to a new peak. Close linkage also helps the shift to a new adaptive peak and acts similarly to assortative mating, but it is not necessary for such a shift as was previously thought. When a population shifts to a new peak, the number of generations required is significantly less than that needed to return to the original peak when that happens. The short period of time required may be an explanation for rapid changes in the geological record. Under extremely high degrees of assortative mating, the shift takes longer, presumably because of the difficulty of breaking up less favored allelic combinations.     

Analysis of “nontraditional” relationships under assortative mating

The set of conditions on the genetical and developmental mechanisms of quantitative characters as well as on selection and mating system presented in (Gimelfarb, 1981) is expanded, thus enabling one to obtain the genotypic covariances between relatives for a larger variety of relationships. It is also demonstrated that the frequency of a relationship in a population under assortative mating may in general be different from the frequency of this relationship in the population under random mating. A subpopulation of relatives is not necessarily a representative sample of the whole population with respect to the quantitative character distribution. However, for any relationship which is a combination of descendant-ancestor, full sib, Type 1 and Nth uncle-niece relationships, its frequency in a population under assortative mating is the same as in the population under random mating, and the subpopulation of such relatives is a representative sample of the whole population.Paper No. 6620 of the Journal Series of the North Carolina Agricultural Research Service, Raleigh, North Carolina. This investigation was supported in part by NIH Research Grant No. GM 11546 from the National Institute of General Medical Sciences     

Sexual selection under parental choice: the role of parents in the evolution of human mating

Much of the evolutionary literature on human mating is based on the assumption of extensive female choice during the history of our species. However, ethnographic evidence from foraging societies reveals that, in societies thought to be akin to those of our ancestors, female choice is constrained by the control that parents exercise over their daughters. Data from 190 hunting and gathering societies indicate that almost all reproduction takes place while the woman is married and that the institution of marriage is regulated by parents and close kin. Parents are able to influence the mating decisions of both sons and daughters, but stronger control is exercised with regard to daughters; male parents have more say in selecting in-laws than their female counterparts. In light of the fact that parental control is the typical pattern of mate choice among extant foragers, it is likely that this pattern was also prevalent throughout human evolution. Because daughters' preferences can be expected not to fully coincide with those of their parents, research to date may thus have simultaneously overestimated the contribution of female preferences to processes of sexual selection and underestimated the contribution of parental preferences to such processes.     

Assortative mating for anthropometric traits in parents of Punjabi twins

The marital correlations between 97 pairs of parents of Punjabi twins reveal positive phenotypic assortative mating for body traits while almost random mating with respect to cranio-facial traits. There is no evidence of any significant negative assortative mating for any of the 50 traits. The results have been compared with those from other world populations. The data contradict the earlier reported hypothesis that assortative mating is associated with lowered fertility.     

The Classical Assortative Mating Process when more than one Continuous Characteristic is Considered

In this article we give a general proof for the existence of the equilibrium position for the joint phenotypic distribution of several continuous characteristics, in a population which reproduces assortatively, and wherein generations are overlapping. This model is a more realistic one for human populations, compared with models arising from consideration of a single characteristic. By placing realistic conditions on the assortation process in the equilibrium position it is found that the consequences are even less realistic and less satisfactory compared with conclusions from single (continuous) characteristic models involving assortative mating. This suggests that a different approach to modelling the assortation process may be required, and this is discussed alsewhere (WILSON, 1981).     

When is sympatric speciation truly adaptive? An analysis of the joint evolution of resource utilization and assortative mating

The plausibility of sympatric speciation has long been debated among evolutionary ecologists. The process necessarily involves two key elements: the stable coexistence of at least two ecologically distinct types and the emergence of reproductive isolation. Recent theoretical studies within the theoretical framework of adaptive dynamics have shown how both these processes can be driven by natural selection. In the standard scenario, a population first evolves to an evolutionary branching point, next, disruptive selection promotes ecological diversification within the population, and, finally, the fitness disadvantage of intermediate types induces a selection pressure for assortative mating behaviour, which leads to reproductive isolation and full speciation. However, the full speciation process has been mostly studied through computer simulations and only analysed in part. Here I present a complete analysis of the whole speciation process by allowing for the simultaneous evolution of the branching ecological trait as well as a continuous trait controlling mating behaviour. I show how the joint evolution can be understood in terms of a gradient landscape, where the plausibility of different evolutionary paths can be evaluated graphically. I find sympatric speciation unlikely for scenarios with a continuous, unimodal, distribution of resources. Rather, ecological settings where the fitness inferiority of intermediate types is preserved during the ecological branching are more likely to provide opportunity for adaptive, sympatric speciation. Such scenarios include speciation due to predator avoidance or specialization on discrete resources. Electronic supplementary material  The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

A deterministic model of admixture and genetic introgression: the case of Neanderthal and Cro-Magnon

There is an ongoing debate in the field of human evolution about the possible contribution of Neanderthals to the modern human gene pool. To study how the Neanderthal private alleles may have spread over the genes of Homo sapiens, we propose a deterministic model based on recursive equations and ordinary differential equations. If the Neanderthal population was large compared to the Homo sapiens population at the beginning of the contact period, we show that genetic introgression should have been fast and complete meaning that most of the Neanderthal private alleles should be found in the modern human gene pool in case of ancient admixture. In order to test/reject ancient admixture from genome-wide data, we incorporate the model of genetic introgression into a statistical hypothesis-testing framework. We show that the power to reject ancient admixture increases as the ratio, at the time of putative admixture, of the population size of Homo sapiens over that of Neanderthal decreases. We find that the power to reject ancient admixture might be particularly low if the population size of Homo sapiens was comparable to the Neanderthal population size.     

A general linear model for the genotypic covariance between relatives under assortative mating

A linear model for the genotypic covariance between relatives under assortative mating comprising the classical linear model and the model of selective assortative mating is proposed. The general conditions on the genetical and developmental mechanisms of quantitative characters, as well as on selection and the mating system, on which the model is based, are explicitly stated and discussed. A classification of different relationships is presented and it is shown that these conditions are sufficient to obtain the genotypic covariance between relatives only if the relationship is a combination of descendant-ancestor, full sib, Type 1 and Nth uncle-niece relationships. All the traditional relationships, i.e., those for which the covariances of the relatives have been obtained in the literature, fall into this category. These conditions also ensure that the regression of the individual's genotypic value on the genotypic value or phenotype of any of its ancestors is always linear.Paper No. 6619 of the Journal Series of the North Carolina Agricultural Research Service, Raleigh, North Carolina. This investigation was supported in part by NIH Research Grant No. GM 11546 from the National Institute of General Medical Sciences     

Assortative mating for a quantitative character

Phenotypic assortative mating is investigated for a character determined by additive loci without dominance and a stochastically independent environment. Conditional-expectation arguments are used to calculate the equilibrium values of the phenotypic variance and the correlation between sundry relatives. For the latter, it suffices to suppose that the regressions of an individual's genotype on his phenotype and of his phenotype on that of his mate are linear. For the former, linearity of the regression of the allelic effects on the phenotype is also posited. The biological implications of these assumptions are discussed.Supported by National Science Foundation Grant DEB81-03530     

When do host–parasite interactions drive the evolution of non‐random mating?

Interactions with parasites may promote the evolution of disassortative mating in host populations as a mechanism through which genetically diverse offspring can be produced. This possibility has been confirmed through simulation studies and suggested for some empirical systems in which disassortative mating by disease resistance genotype has been documented. The generality of this phenomenon is unclear, however, because existing theory has considered only a subset of possible genetic and mating scenarios. Here we present results from analytical models that consider a broader range of genetic and mating scenarios and allow the evolution of non-random mating in the parasite as well. Our results confirm results of previous simulation studies, demonstrating that coevolutionary interactions with parasites can indeed lead to the evolution of host disassortative mating. However, our results also show that the conditions under which this occurs are significantly more fickle than previously thought, requiring specific forms of infection genetics and modes of non-random mating that do not generate substantial sexual selection. In cases where such conditions are not met, hosts may evolve random or assortative mating. Our analyses also reveal that coevolutionary interactions with hosts cause the evolution of non-random mating in parasites as well. In some cases, particularly those where mating occurs within groups, we find that assortative mating evolves sufficiently to catalyze sympatric speciation in the interacting species.