Processes of Pair Formation Leading to Assortative Mating in Biological Populations: Encounter-Mating Model

1988 ◽  
Vol 131 (6) ◽  
pp. 865-884 ◽  
Author(s):  
A. Gimelfarb
Keyword(s):  
Assortative Mating ◽  
Pair Formation ◽  
Mating Model

scholarly journals Assortative mating without assortative preference

2015 ◽  
Vol 112 (19) ◽  
pp. 5974-5978 ◽  
Author(s):  
Yu Xie ◽  
Siwei Cheng ◽  
Xiang Zhou
Keyword(s):  
Assortative Mating ◽  
Closed System ◽  
Dynamic Process ◽  
Finite Population ◽  
Social Characteristics ◽  
Dynamic Processes ◽  
Mating Model

Assortative mating—marriage of a man and a woman with similar social characteristics—is a commonly observed phenomenon. In the existing literature in both sociology and economics, this phenomenon has mainly been attributed to individuals’ conscious preferences for assortative mating. In this paper, we show that patterns of assortative mating may arise from another structural source even if individuals do not have assortative preferences or possess complementary attributes: dynamic processes of marriages in a closed system. For a given cohort of youth in a finite population, as the percentage of married persons increases, unmarried persons who newly enter marriage are systematically different from those who married earlier, giving rise to the phenomenon of assortative mating. We use microsimulation methods to illustrate this dynamic process, using first the conventional deterministic Gale–Shapley model, then a probabilistic Gale–Shapley model, and then two versions of the encounter mating model.

Assortative mating in zebra finch subspecies, Taeniopygia guttata guttata and T. g. castanotis

1990 ◽  
Vol 330 (1258) ◽  
pp. 351-370 ◽  
Keyword(s):  
Mate Choice ◽  
Assortative Mating ◽  
Zebra Finch ◽  
Pair Formation ◽  
Taeniopygia Guttata ◽  
The Other ◽  
Playback Experiments ◽  
Choice Tests ◽  
Subspecies Discrimination ◽  
Multiple Mate

There are two subspecies of the zebra finch, Taeniopygia guttata guttata and Taeniopygia guttata castanotis. T. g. guttata is found on the Lesser Sunda islands in Indonesia and the males differ from their Australian counterparts, T. g. castanotis , in having a thinner breast-band and grey chin and throat instead of the black and white throat bars. The songs of male guttata are longer and sung at a higher frequency than those of male castanotis . In contrast to the substantial differences between the two subspecies, there is little geographic variation with subspecies. In a recent aviary study of the social interactions and pair formation between members of captive colonies of guttata and castanotis , members of the two subspecies were observed to mate assortatively, i.e. guttata and castanotis did not form mixed pairs (Böhner et al . 1984). This raises the question of which cues ensure that the two subspecies are behaviourally isolated and hence mate assortatively. In song playback experiments, females of both subspecies discriminated between guttata and castanotis songs, preferring the songs of males of their own subspecies. In multiple mate choice tests and observations of the same individuals during pair formation in aviaries, male and female guttata and castanotis were found to prefer members of their own subspecies. However, guttata males that were painted to resemble castanotis males were preferred by castanotis females over unpainted guttata males whereas guttata females preferred the unpainted guttata males. In the aviary, the castanotis females paired with painted guttata males and guttata females paired with unpainted guttata males. These findings suggest that differences between the two subspecies in both song and breast-band size could play a role in mate choice and subspecies discrimination, thus leading to assortative mating between the two subspecies in captivity. To assess the importance of early rearing experience on the development of these visual and vocal differences between the two subspecies and its effect on the development of sexual preferences, guttata and castanotis that had been cross-fostered to the other subspecies were compared with those that has been normally raised by members of their own species. When cross-fostered to the other subspecies, castanotis and guttata males resembled their own subspecies in the macrostructural features of song which distinguish the two subspecies' songs. Hybrid males that were raised by one guttata and one castanotis parent have songs that are intermediate between those of guttata and those of castanotis males. These results suggest that rearing experience has little, if any, effect on the development of these macrostructural song differences between the two subspecies. In playback experiments, females preferred the songs of their foster-father’s subspecies, irrespective of whether the songs were from males that had been cross-fostered or normally raised. This indicates that females use these macrostructural differences in song for subspecies discrimination and that female song preferences are learnt. Cross-fostered zebra finches resemble normally raised members of their own subspecies in size and plumage, and hybrids were intermediate. In multiple mate choice tests, females preferred normally raised birds of their own subspecies over those that had been cross-fostered and over those of the other subspecies. Since cross-fostered males do not appear to differ from normally raised birds of the same subspecies in plumage, size or song, these results suggest that females may discriminate between guttata and castanolis males on the basis of behavioural cues. Studies of multiple mate choice and pair formation showed that when both sexes were cross-fostered to the other subspecies mixed pairs ( guttata-castanotis ) were formed, suggesting that early experience with the foster-parents can have an influence on pair formation through sexual imprinting on the parents. However, when one sex is normally raised and the other is cross-fostered, the cross-fostered birds usually pair with members of their own subspecies. This indicates that the likelihood of pairing with the ‘wrong’ subspecies is reduced when cross-fostered individuals interact with members of their own subspecies. This would provide an adaptive mechanism for maintaining behavioural isolation between the two subspecies. Comparing the mate choice during one-way and two-way interaction suggests that normally raised zebra finches choose more often than cross-fostered birds and that, when both sexes are cross-fostered, the prerogative lies with the female.

Size Assortative Mating in the Yellow Dung Fly Scatophaga Stercoraria

Behaviour ◽  
1993 ◽  
Vol 126 (1-2) ◽  
pp. 63-76 ◽  
Author(s):  
Merja Otronen
Keyword(s):  
Assortative Mating ◽  
Pair Formation ◽  
Encounter Rate ◽  
Male Size ◽  
Male Aggression ◽  
Single Male ◽  
Male Density ◽  
Scatophaga Stercoraria ◽  
The Difference ◽  
Different Parts

AbstractIn the yellow dung fly, Scatophaga stercoraria, pairs copulating in the grass or ovipositing on a dropping were size assortatively mated. However, pairs initiating copulations showed no assortative pattern: 1) Pairs formed at different times from the deposition of droppings or in different parts of the mating area showed no consistent relationship in size. 2) Successful males in copulation attempts involving several males were larger than in single male attempts but these type of copulation attempts were not more frequent with large females. 3) Female display did not result in assortative mating although displaying females copulated with a relatively larger male than other females. During copulation and oviposition, single males attempted to take-over paired females which resulted in the separation of many initial pairs. Pairs in unsuccessful take-over attempts were size assortatively mated but not in succesful take-overs. Pairs flying between droppings were also size assortatively mated suggesting that assortatively mated pairs are more likely to move long distances than other pairs. In addition, density affected pair formation. The difference from the expected female-male size ratio decreased with increasing density among copulating pairs suggesting that assortative mating is more common at high density droppings. Assortative mating in the yellow dung fly therefore results from male aggression against copulating and ovipositing pairs. During take-over attempts non-assortatively mated pairs are likely to be separated. High male density with increased level of male encounter rate is likely to contribute to this process.

scholarly journals Fluid limit for the Poisson encounter-mating model

2017 ◽  
Vol 49 (4) ◽  
pp. 1201-1229
Author(s):  
Onur Gün ◽  
Atilla Yilmaz
Keyword(s):  
Population Dynamics ◽  
Stochastic Dynamics ◽  
Exact Expression ◽  
Pair Formation ◽  
Deterministic System ◽  
Mating Pattern ◽  
Fluid Limit ◽  
Balance Condition ◽  
Replicator Equations ◽  
Mating Model

Abstract Stochastic encounter-mating (SEM) models describe monogamous permanent pair formation in finite zoological populations of multitype females and males. In this paper we study SEM models with Poisson firing times. First, we prove that the model enjoys a fluid limit as the population size diverges, that is, the stochastic dynamics converges to a deterministic system governed by coupled ordinary differential equations (ODEs). Then we convert these ODEs to the well-known Lotka–Volterra and replicator equations from population dynamics. Next, under the so-called fine balance condition which characterizes panmixia, we solve the corresponding replicator equations and give an exact expression for the fluid limit. Finally, we consider the case with two types of female and male. Without the fine balance assumption, but under certain symmetry conditions, we give an explicit formula for the limiting mating pattern, and then use it to characterize assortative mating.

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