Skip to main content
Log in

Trivers-willard rules for sex allocation

When do they maximize expected grandchildren in humans?

  • Published:
Human Nature Aims and scope Submit manuscript

Abstract

We present a quantitative model of sex allocation to investigate whether the simple “rules of thumb” suggested by Trivers and Willard (1973) would really maximize numbers of grandchildren in human populations. Using demographic data from the !Kung of southern Africa and the basic assumptions of the Trivers-Willard hypothesis, we calculate expected numbers of grandchildren based on age- and sex-specific reproductive value. Patterns of parental investment that would maximize numbers of expected grandchildren often differ from the Trivers-Willard rules. In particular, the optimum parental behavior is sensitive to population dynamics, type of parental investment, and, most important, relative ages of sons and daughters. It is doubtful whether a parent blindly following the simple Trivers-Willard rules would maximize numbers of expected grandchildren, on average. In addition, we show that sex-specific infanticide will almost never achieve the goal of maximizing expected numbers of grandchildren.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Betzig, L. 1990 Comment on “Explaining Biased Sex Ratios in Human Populations” by D. Sieff.Current Anthropology 31:35.

    Google Scholar 

  • Betzig, L. L., and P. W. Turke 1986 Parental Investment by Sex on Ifaluk.Ethology and Sociobiology 7:29–37.

    Article  Google Scholar 

  • Boone, J. L. 1986 Parental Investment and Elite Family Structure in Preindustrial States: A Case Study of Late Medieval-Early Modern Portuguese Genealogies.American Anthropologist 88:859–878.

    Article  Google Scholar 

  • Borgerhoff Mulder, M. 1989 Reproductive Consequences of Sex-Biased Inheritance for the Kipsigis. InComparative Socioecology: The Behavioral Ecology of Humans and Other Mammals, V. Standen and R. A. Foley, eds. Pp. 405–427. Oxford: Blackwell.

    Google Scholar 

  • Clutton-Brock, T. H., and G. R. Iason 1986 Sex Ratio Variation in Mammals.Quarterly Review of Biology 61:339–373.

    Article  Google Scholar 

  • Coale, A. J., and P. Demeny 1983Regional Model Life Tables and Stable Populations. New York: Academic Press.

    Google Scholar 

  • Cohen, M. N. 1980 Speculations on the Evolution of Density Measurement and Population Regulation inHomo sapiens. InBiosocial Mechanisms of Population Regulation, M. N. Cohen, R. S. Malpass. and H. G. Klein, eds. Pp. 275–304. New Haven: Yale University Press.

    Google Scholar 

  • Cosmides, L. 1989 The Logic of Social Exchange: Has Natural Selection Shaped How Humans Reason? Studies with the Wason Selection Task.Cognition 31:187–276.

    Article  Google Scholar 

  • Cronk, L. 1989 Low Socioeconomic Status and Female-biased Parental Investment: The Mukogodo Example.American Anthropologist 91:414–429.

    Article  Google Scholar 

  • 1991 Preferential Parental Investment in Daughters over Sons.Human Nature 2:387–417.

    Article  Google Scholar 

  • Dickemann, M. 1979 Female Infanticide and Reproductive Strategies of Stratified Human Societies: A Preliminary Model. InEvolutionary Biology and Human Social Behavior: An Anthropological Perspective, N. Chagnon, and W. Irons, eds. Pp. 321–367. North Scituate, Massachusetts: Duxbury Press.

    Google Scholar 

  • Draper, P., and H. Harpending 1982 Father Absence and Reproductive Strategy: An Evolutionary Perspective.Journal of Anthropological Research 38:255–273.

    Google Scholar 

  • Edwards, A. W. F. 1958 An Analysis of Geissler’s Data on the Human Sex Ratio.Annals of Human Genetics 23:5–15.

    Article  Google Scholar 

  • Fisher, R. A. 1930The Genetical Theory of Natural Selection. Oxford: Clarendon.

    Google Scholar 

  • Frisch, R. E. 1990 Body Fat, Menarche, Fitness, and Fertility. InAdipose Tissue and Reproduction, R. E. Frisch, ed. Pp. 1–26. Basel: Karger.

    Google Scholar 

  • Gibson, K. 1990 Comment on “Explaining Biased Sex Ratios in Human Populations,” by D. Sieff.Current Anthropology 31:38.

    Google Scholar 

  • Herring, D. A. 1990 Comment on “Explaining Biased Sex Ratios in Human Populations,” by D. Sieff.Current Anthropology 31:39.

    Google Scholar 

  • Howell, N. 1979Demography of the Dobe !Kung. New York: Academic Press.

    Google Scholar 

  • Hrdy, S. B. 1987 Sex-biased Parental Investment among Primates and Other Mammals: A Critical Evaluation of the Trivers-Willard Hypothesis. InChild Abuse and Neglect, R. J. Gelles and J. B. Lancaster, eds. Pp. 97–148. New York: de Gruyter.

    Google Scholar 

  • James, W. H. 1987 The Human Sex Ratio. Part I: A Review of the Literature.Human Biology 59:721–752.

    Google Scholar 

  • Johansson, S. R. 1984 Deferred Infanticide: Excess Female Mortality during Childhood. InInfanticide: Comparative and Evolutionary Perspectives, G. Hausfater and S. B. Hrdy, eds. Pp. 463–486. New York: Aldine.

    Google Scholar 

  • Johansson, S. R. 1990 Comment on “Explaining Biased Sex Ratios in Human Populations” by D. Sieff.Current Anthropology 31:40.

    Google Scholar 

  • Kitcher, P. 1985Vaulting Ambition. Cambridge, Massachusetts: MIT Press.

    Google Scholar 

  • Mealey, L., and W. Mackey 1990 Variation in Offspring Sex Ratio in Women of Differing Social Status.Ethology and Sociobiology 11:83–95.

    Article  Google Scholar 

  • Moffitt, T. E., A. Caspi, J. Belsky, and P. A. Silva 1992 Childhood Experience and the Onset of Menarche: A Test of a Sociobiological Model.Child Development 63:47–58.

    Article  Google Scholar 

  • Pianka, E. R. 1983Evolutionary Ecology. New York: Harper and Row.

    Google Scholar 

  • Platt, J. R. 1964 Strong Inference.Science 146:347–353.

    Article  Google Scholar 

  • Seiff, D. F. 1990 Explaining Biased Sex Ratios in Human Populations.Current Anthropology 31:25–48.

    Article  Google Scholar 

  • Surbey, M. K. 1990 Family Composition, Stress, and Human Menarche. InSocioendocrinology of Primate Reproduction, T. E. Ziegler and F. B. Bercovitch, eds. Pp. 11–32. New York: Wiley-Liss.

    Google Scholar 

  • Symons, D. 1989 A Critique of Darwinian Anthropology.Ethology and Sociobiology 10:131–144.

    Article  Google Scholar 

  • Trivers, R. L., and D. E. Willard 1973 Natural Selection of Parental Ability to Vary the Sex Ratio of Offspring.Science 179:92–93.

    Article  Google Scholar 

  • Turke, P. 1990 Which Humans Behave Adaptively, and Why Does It Matter?Ethology and Sociobiology 11:305–340.

    Article  Google Scholar 

  • Voland, E. 1984 Human Sex-Ratio Manipulation: Historical Data from a German Parish.Journal of Human Evolution 13:99–107.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was supported by a grant from the Natural Sciences and Engineering Research Council of Canada. Linda Mealey, Nancy Howell, S. Ryan Johansson, and several anonymous reviewers all kindly read the manuscript and made valuable suggestions for improving it.

Judith Anderson received a B.S. in biochemical sciences from Harvard University and a Ph.D. in ecological genetics from the University of British Columbia. She divides her time between the Department of Psychology at Simon Fraser University, where she is a research associate attempting to integrate evolutionary biology and psychology, and her family and community work. Her current research is focused on reproductive suppression as an explanation for anorexic behavior and on psychological and computer modeling studies of sex allocation in humans.

Charles Crawford received a B.A. from the University of Alberta and a Ph.D. in measurement from McGill University. He discovered sociobiology while on sabbatical leave at the Institute of Behavior Genetics at the University of Colorado, and he is currently working on developing methods of testing evolutionary hypotheses, sex allocation in animals and humans, and the evolutionary significance of human psychopathology.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Anderson, J.L., Crawford, C.B. Trivers-willard rules for sex allocation. Human Nature 4, 137–174 (1993). https://doi.org/10.1007/BF02734114

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02734114

Key words

Navigation