Demographic factor affecting the fitness of polyandry for human males: A mathematical model and computer simulation
Abstract:
Polyandry has occurred rarely among humans; and has almost always consisted of brothers sharing a wife. The reduced opportunity for fertilization of females that occurs in polyandry would appear to make it a maladaptive mating system for human males. Previous evolutionary studies of human polyandry have suggested that kin selection may play a role in maintaining polyandry in some populations. A mathematical model for determining the fitness of polyandry for males is presented, and a simple deterministic analytic solution is derived. The model indicates that for polyandry to be an adaptive alternative to monogamy, the number of surviving offspring must be greater than the number of surviving offspring under monogamy times the number of males sharing a wife. This model exists in the literature. The unrealistic assumptions made in deriving this simple equation are revealed. An alternative stochastic computer simulation model is presented. The reproductive life history of a set of brothers is simulated under different demographic conditions, using data from polyandrous societies to estimate probabilities of fitness-related events. Under the assumption of equality of values of demographic variables for polyandry and monogamy, polyandry achieved or exceeded fitness parity with monogamy one third of the time. This contrasts with the pbkp_rediction of the deterministic model stating that polyandry will never be an adaptive alternative to monogamy when fitness-related parameters are equal. The conditions improving fitness expectations for polyandry are conditions where genetic replication is decreased, i.e., with fewer brothers, high female sterility, decreased offspring survival, and decreased female fertility. Also, increased age difference between brothers enhances the fitness of polyandry. Genetic relatedness between brothers did not significantly affect the fitness of polyandry; therefore the kin selection hypothesis does not receive support. To a certain degree, these conditions exist for polyandrous populations in the Himalayas. Multivariate statistical analyses of simulation results revealed that most of the effects of these demographic factors could be accounted for by their association with increased probability of household extinction under monogamy and increased number of years of reproductive monogamy within polyandry. Although conditions favoring polyandry could be specified, analysis of the correlation between adaptiveness of polyandry and amount of genetic replication revealed that the demographic conditions favoring polyandry also lead to family extinction. Deficiencies in the model are discussed. It is suggested that future studies identify the advantages polyandry may have over monogamy in the values of demographic variables (e.g., increased offspring survival, increased extramarital reproduction), and take a multigenerational approach. © 1986.
Año de publicación:
1987
Keywords:
- Polyandry
- Mating systems
- Computer Simulation
- Demographic factors, Mathematical model
Fuente:
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Tipo de documento:
Article
Estado:
Acceso restringido
Áreas de conocimiento:
- Modelo matemático
- Optimización matemática
Áreas temáticas:
- Cultura e instituciones
- Fisiología humana
- Ciencias de la computación