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Behavioral Ecology and Sociobiology

, Volume 59, Issue 3, pp 427–442 | Cite as

Modeling and analysis of nest-site selection by honeybee swarms: the speed and accuracy trade-off

  • Kevin M. Passino
  • Thomas D. Seeley
Original Article

Abstract

Nest-site selection in honeybees is a process of social decision making in which the scout bees in a swarm locate several potential nest sites, evaluate them, and select the best one by means of competitive signaling. We develop a model of this process and validate that the model possesses the key features of the bees' decision-making process, as revealed by prior empirical studies. Next, we use the model to study the “design” of the nest-site selection process, with a focus on how certain behavioral parameters have been tuned by natural selection to achieve a balance between speed and accuracy. First, we study the effects of the quorum threshold and the dance decay rate. We show that evolution seems to have settled on values for these two parameters that seek a balance between speed and accuracy of decision making by minimizing the time needed to achieve a consensus and maximizing the probability that the best site is chosen. Second, we study the adaptive tuning of the tendency of bees to explore for vs be recruited to a site. We show that this tendency appears to be tuned to regulate the positive feedback process of recruitment to ensure both a reasonably rapid choice and a low probability of a poor choice. Finally we show that the probability of choosing the best site is proportional to its quality, but that this proportionality depends on its quality relative to other discovered sites.

Keywords

Apis mellifera Honeybee Nest-site selection Social decision making 

Notes

Acknowledgements

The research reported here was supported by the US National Science Foundation (grant no. IBN02-10541 to T.D.S.). We would like to thank Alvaro Gil for checking the simulation code and for some suggestions on the document.

References

  1. Bartholdi JJ, Seeley TD, Tovey CA, VandeVate JH (1993) The pattern and effectiveness of forager allocation among flower patches by honeybee colonies. J Theor Biol 160:23–40CrossRefGoogle Scholar
  2. Beckers R, Deneubourg J-L, Goss S, Pasteels JM (1990) Collective decision making through food recruitment. Insectes Soc 37:258–367CrossRefGoogle Scholar
  3. Beering ML (2001) A comparison of the patterns of the dance language behavior in house-hunting and nectar-foraging honeybees (Apis mellifera L.). M. Sc. thesis, University of California, RiversideGoogle Scholar
  4. Biesmeijer JC, de Vries H (2001) Exploration and exploitation of food sources by social insect colonies: a revision of the scout-recruit concept. Behav Ecol Sociobiol 49:89–99CrossRefGoogle Scholar
  5. Britton NF, Franks NR, Pratt SC, Seeley TD (2002) Deciding on a new home: how do honeybees agree? Proc R Soc Lond B Biol Sci 269:1383–1388CrossRefGoogle Scholar
  6. Camazine S (1991) Self-organizing pattern formation on the combs of honeybee colonies. Behav Ecol Sociobiol 28:61–76CrossRefGoogle Scholar
  7. Camazine S, Sneyd J (1991) A model of collective nectar source selection by honeybees: self-organization through simple rules. J Theor Biol 149:547–571CrossRefGoogle Scholar
  8. Camazine S, Sneyd J, Jenkins MJ, Murray JD (1990) A mathematical model of self-organizing pattern formation on the combs of honeybee colonies. J Theor Biol 147:553–571CrossRefGoogle Scholar
  9. Camazine S, Visscher PK, Finley J, Vetter RS (1999) House-hunting by honeybee swarms: collective decisions and individual behaviors. Insectes Soc 46:348–360CrossRefGoogle Scholar
  10. Camazine S, Deneubourg J-L, Franks NR, Sneyd J, Theraulaz G, Bonabeau E (2001) Self-organization in biological systems. Princeton University Press, Princeton, NJGoogle Scholar
  11. Chittka L, Dyer AG, Bock F, Dornhaus A (2003) Bees trade-off foraging speed for accuracy. Nature 24:388CrossRefGoogle Scholar
  12. Cox M, Myerscough M (2003) A flexible model of foraging by a honeybee colony: the effects of individual behavior on foraging success. J Theor Biol 223:179–197CrossRefPubMedGoogle Scholar
  13. de Vries H, Biesmeijer JC (1998) Modeling collective foraging by means of individual behavior rules in honey-bees. Behav Ecol Sociobiol 44:109–124CrossRefGoogle Scholar
  14. Deneubourg J-L, Goss S (1989) Collective patterns and decision-making. Ethol Ecol Evol 1:295–311CrossRefGoogle Scholar
  15. Dornhaus A, Franks NR (2003) Rules of decision-making: trade-offs in collective house-hunting. In: Proceedings of the 2nd International Workshop on the Mathematics and Algorithms of Social Insects. Atlanta, GA, pp 47–52Google Scholar
  16. Franks NR, Pratt SC, Mallon EB, Britton NF, Sumpter DJT (2002) Information flow, opinion polling, and collective intelligence in house-hunting social insects. Proc R Soc Lond B Biol Sci 357:1567–1583CrossRefGoogle Scholar
  17. Franks NR, Dornhaus A, Fitzsimmons JP, Stevens M (2003) Speed versus accuracy in collective decision making. Proc R Soc Lond B Biol Sci 270:2457–2463CrossRefGoogle Scholar
  18. Gilley DC (1998) The identity of nest-site scouts in honeybee swarms. Apidologie 29:229–240CrossRefGoogle Scholar
  19. Jenkins M, Sneyd J, Camazine S, Murray JD (1992) On a simplified model for pattern formation in honeybee colonies. J Math Biol 30:281–306CrossRefGoogle Scholar
  20. Lindauer M (1955) Schwarmbienen auf Wohnungssuche. Z Vgl Physiol 37:263–324CrossRefGoogle Scholar
  21. Lindauer M (1961) Communication among social bees. Harvard University Press, Cambridge, MAGoogle Scholar
  22. Mallon EB, Pratt SC, Franks NR (2001) Individual and collective decision-making during nest site selection by the ant Leptothorax albipennis. Behav Ecol Sociobiol 50:352–359CrossRefGoogle Scholar
  23. Myerscough M (2003) Dancing for a decision: a matrix model for nest-site choice by honeybees. Proc R Soc Lond B Biol Sci 270:577–582CrossRefGoogle Scholar
  24. Osman A, Lou LG, Muller-Gethman H, Rinkenauer G, Mattes S, Ulrich R (2000) Mechanisms of speed-accuracy trade-off: evidence from covert motor processes. Biol Psychol 51:173–199CrossRefPubMedGoogle Scholar
  25. Pratt SC, Mallon EB, Sumpter DJT, Franks NR (2002) Quorum sensing, recruitment, and collective decision-making during colony emigration by the ant Leptothorax albipennis. Behav Ecol Sociobiol 52:117–127CrossRefGoogle Scholar
  26. Schmickl T, Crailsheim K (2003) Costs of environmental fluctuations and benefits of dynamic decentralized foraging decisions in honeybees. In: Proceedings of the 2nd International Workshop on the Mathematics and Algorithms of Social Insects. Atlanta, GA, pp 145–152Google Scholar
  27. Seeley TD (1982) How honeybees find a home. Sci Am 247:158–168CrossRefGoogle Scholar
  28. Seeley TD (1983) Division of labor between scouts and recruits in honeybee foraging. Behav Ecol Sociobiol 12:253–259CrossRefGoogle Scholar
  29. Seeley TD (1995) The wisdom of the hive. Harvard University Press, Cambridge, MAGoogle Scholar
  30. Seeley TD (2003) Consensus building during nest-site selection in honeybee swarms: the expiration of dissent. Behav Ecol Sociobiol 53:417–424Google Scholar
  31. Seeley TD, Buhrman SC (1999) Group decision making in swarms of honeybees. Behav Ecol Sociobiol 45:19–31CrossRefGoogle Scholar
  32. Seeley TD, Buhrman SC (2001) Nest-site selection in honeybees: how well do swarms implement the “best-of-n” decision rule? Behav Ecol Sociobiol 49:416–427CrossRefGoogle Scholar
  33. Seeley TD, Tautz J (2001) Worker piping in honeybee swarms and its role in preparing for liftoff. J Comp Physiol 187:667–676CrossRefGoogle Scholar
  34. Seeley TD, Visscher PK (2003) Choosing a home: how the scouts in a honeybee swarm perceive the completion of their group decision making. Behav Ecol Sociobiol 54:511–520CrossRefGoogle Scholar
  35. Seeley TD, Visscher PK (2004a) Group decision making in nest-site selection by honeybees. Apidologie 35:1–16CrossRefGoogle Scholar
  36. Seeley TD, Visscher PK (2004b) Quorum sensing during nest-site selection by honeybee swarms. Behav Ecol Sociobiol 56:594–601CrossRefGoogle Scholar
  37. Waite TA (2002) Interruptions improve choice performance in gray jays: prolonged information processing versus minimization of costly errors. Anim Cogn 5:209–214PubMedGoogle Scholar
  38. Waite TA, Field KL (2000) Erroneous choice and foregone gains in hoarding gray jays (Perisoreus candensis). Anim Cogn 3:127–134CrossRefGoogle Scholar
  39. Winston ML (1987) The biology of the honeybee. Harvard University Press, Cambridge, MAGoogle Scholar

Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  1. 1.Department of Electrical and Computer EngineeringOhio State UniversityColumbusUSA
  2. 2.Department of Neurobiology and BehaviorCornell UniversityIthacaUSA

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