Foraging preferences: Response to reward skew

Recent theoretical and empirical work on foraging behaviour suggests that animals may respond to both the means and variances in benefits associated with available resources. We attempt to extend this analysis by asking if reward skew (third moment about the mean) might influence preference when two options have equal means and equal variances. We examine how minimizing the probability of starvation might induce response to skew. In the Appendix we develop an expected ‘fitness’ model which follows from economic theory and indicates more general conditions concerning responses to skew. We also report experiments involving foraging white-crowned sparrows (Zonotrichia leucophrys). Under conditions where positive skew should be favoured, the birds' behaviour supports the prediction. However, their response to skew is not as strong as responses to variance noted in the same individuals.

[1]  John McNamara,et al.  A sequential approach to risk-taking , 1982, Animal Behaviour.

[2]  Uday S. Karmarkar,et al.  Subjectively weighted utility: A descriptive extension of the expected utility model , 1978 .

[3]  T. Caraco,et al.  An empirical demonstration of risk-sensitive foraging preferences , 1980, Animal Behaviour.

[4]  James N. McNair,et al.  Optimal Giving-Up Times and the Marginal Value Theorem , 1982, The American Naturalist.

[5]  G. Belovsky,et al.  Diet optimization in a generalist herbivore: the moose. , 1978, Theoretical population biology.

[6]  B. Heinrich,et al.  Floral preferences of bumblebees (Bombus edwardsii) in relation to intermittent versus continuous rewards , 1981, Animal Behaviour.

[7]  Thomas Caraco,et al.  The scanning behavior of juncos: A game-theoretical approach , 1982 .

[8]  Alan R. Templeton,et al.  The Fallacy of the Averages in Ecological Optimization Theory , 1981, The American Naturalist.

[9]  P. Taylor,et al.  Test of optimal sampling by foraging great tits , 1978 .

[10]  J. Hinson,et al.  Hill-climbing by pigeons. , 1983, Journal of the experimental analysis of behavior.

[11]  L. Real,et al.  On the Tradeoff Between the Mean and the Variance in Foraging: Effect of Spatial Distribution and Color Preference , 1982 .

[12]  F. Gill,et al.  Economics of Feeding Territoriality in the Golden-Winged Sunbird , 1975 .

[13]  Thomas Caraco,et al.  Risk‐Sensitivity and Foraging Groups , 1981 .

[14]  L. Real UNCERTAINTY AND POLLINATOR-PLANT INTERACTIONS: THE FORAGING BEHAVIOR OF BEES AND WASPS ON ARTIFICIAL FLOWERS' , 1981 .

[15]  J. Gillespie Natural Selection for Variances in Offspring Numbers: A New Evolutionary Principle , 1977, The American Naturalist.

[16]  R. L. Keeney,et al.  Decisions with Multiple Objectives: Preferences and Value Trade-Offs , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[17]  T. Caraco Aspects of risk-aversion in foraging white-crowned sparrows , 1982, Animal Behaviour.

[18]  J. Pratt RISK AVERSION IN THE SMALL AND IN THE LARGE11This research was supported by the National Science Foundation (grant NSF-G24035). Reproduction in whole or in part is permitted for any purpose of the United States Government. , 1964 .

[19]  Richard F. Green,et al.  Bayesian birds: A simple example of Oaten's stochastic model of optimal foraging , 1980 .

[20]  L. Real,et al.  Variance Models in the Study of Life Histories , 1983, The American Naturalist.

[21]  John R. Hauser,et al.  Testing the Accuracy, Usefulness, and Significance of Probabilistic Choice Models: An Information-Theoretic Approach , 1978, Oper. Res..

[22]  D. Stephens The logic of risk-sensitive foraging preferences , 1981, Animal Behaviour.

[23]  Leslie A. Real,et al.  Fitness, Uncertainty, and the Role of Diversification in Evolution and Behavior , 1980, The American Naturalist.

[24]  W. Schaffer Optimal Reproductive Effort in Fluctuating Environments , 1974, The American Naturalist.

[25]  Thomas Caraco,et al.  ON FORAGING TIME ALLOCATION IN A STOCHASTIC ENVIRONMENT , 1980 .

[26]  J. Krebs,et al.  The Survival Value of Flocking in Birds: A Simulation Model , 1974 .

[27]  S. Pimm An Experimental Approach to the Effects of Predictability on Community Structure , 1978 .

[28]  Fred D. Arditti RISK AND THE REQUIRED RETURN ON EQUITY , 1967 .

[29]  M. Milinski,et al.  Influence of a predator on the optimal foraging behaviour of sticklebacks (Gasterosteus aculeatus L.) , 1978, Nature.

[30]  T. Schoener,et al.  The Fallacy of the Fallacy of the Averages in Ecological Optimization Theory , 1982, The American Naturalist.

[31]  William H. Jean The Extension of Portfolio Analysis to Three or More Parameters , 1971, Journal of Financial and Quantitative Analysis.