Behavioral Ecology and Sociobiology

, Volume 12, Issue 4, pp 271–283 | Cite as

The ontogeny of the interaction structure in bumble bee colonies: A MIRROR model

  • P. Hogeweg
  • B. Hesper


In this paper we present an individualoriented model of the behaviour of bumble bees on the comb. We show that the combination of the population dynamics of a bumble bee colony and simple behaviour of the adult bees on the comb is sufficient to generate the social interaction structure of the colony (and it ontogeny) as observed by van Honk and Hogeweg (1981); the latter studied the dominance interactions in a captive Bombus terrestris colony in relation to worker oviposition by pattern analysis techniques. We also demonstrate how the generated/observed interaction structure can cause a switch from the production of worker offspring to the production of generative offspring.

The model is an application of the MIRROR modelling strategy (Hogeweg and Hesper 1979, 1981a, b, c). In this modelling strategy the emphasis is on (i) local definition of entities (individuals), (ii) experience-based interrelations between individuals and (iii) observability. Such models enable us to generate the ‘macro’ behaviour (in casu of bumble bee colonies) from the ‘micro’ behaviour (in casu of individual bees) without including (implicitly or explicitly) assumptions about macro relations in the specification of the behaviour of the individuals. Thus the model shows that only those features of the behaviour of the individual bees explicitly incorporated in the model specification are needed to generate the observed organisational pattern in the nest. The model does not, of course, rule out the possibility that other factors play a role in the organisation of live colonies.


Modelling Strategy Interaction Structure Individualoriented Model Organisational Pattern Generative Offspring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Brian MV (1968) Regulation of sexual reproduction in an ant society. Colloq Int CNRS 173:61–76Google Scholar
  2. Doorn A van, Hogeweg P (1982) Die Entwicklung des agonistichen Verhaltens innerhalb der Arbeiterinnenkaste und zwischen Arbeiterinnen und der Königin während der Volksentwicklung bei der Erdhummel. Bombus terrestris. Mitt Dtsch Ges Allg Angew Entomol (in press)Google Scholar
  3. Gower JC (1966) Some distance properties of latent root and vector methods used in multivariate analysis. Biometrika 23:623–627Google Scholar
  4. Hogeweg P, Hesper B (1979) Heterarchical, selfstructuring simulation systems: concepts and applications in biology. In: Zeigler BP, Elzas MS, Klir GJ, Ören TI (eds) Methodologies in systems modelling and simulation. North-Holland, Amsterdam, pp 221–231Google Scholar
  5. Hogeweg P, Hesper B (1981a) Selfstructuring simulation systems. In: Oren TI (ed) CYBERSOFT 80 International Symposium on Cybernetics and Software, Doc, no 4. International Association for Cybernetics. Namur, pp 63–74Google Scholar
  6. Hogeweg P, Hesper B (1981b) On the role of OBSERVERS in large scale systems. In: UKSC Conference on Computer Simulation, Westbury IIouse, Harrogate, pp 420–425Google Scholar
  7. Hogeweg P, Hesper B (1981c) Two predators and one prey in a patehy environment an application of MICMAC modelling. J Theor Biol 93:411–432Google Scholar
  8. Hogeweg P (1983) Heterarchical systems as simulation modelling formalism. In: Singh M (ed) Encyclopedia of systems and control. Pergamon Press, OxfordGoogle Scholar
  9. Honk CJG (1981) The social structure of bumble-bee colonics, Thesis, RU UtrechtGoogle Scholar
  10. Honk CJG van, Velthuis HHW, Röseler PF, Maloteaux ME (1980) The mandibular glands of Bombus terrestris queens as a source of queen pheromones. Entomol Exp Appl 28:191–198Google Scholar
  11. Honk CJG van, Hogeweg P (1981) The ontogeny of the social structure in a captive Bombus terrestris Colony. Behav Ecol Sociobiol 9:111–119Google Scholar
  12. Michener CD (1974) The social behaviour of the bees. A comparative study. The Belknap Press of Harvard University Press, Cambridge (Massachusetts)Google Scholar
  13. Oster GF (1976) Modelling social inscet populations. I. Ergonomics of foraging and population growth in bumble bees. Am Nat 110:215–245Google Scholar
  14. Oster GF, Wilson EO (1978) Caste and ecology in the social insects. Princeton University Press, Princeton (New Yersey)Google Scholar
  15. Pendrel BA, Plowright RC (1981) Larval feeding by adult bumble bee workers (Hymenoptera: Apidae). Behav Ecol Sociobiol 8:71–76Google Scholar
  16. Plowright RC, Pendrel BA (1977) Larval growth in bumble bees (Hymenoptera: Apidae). Can Entomol 109:967–973Google Scholar
  17. Röseler PF (1970) Unterschiede in der Kastendetermination zwischen den Hummelarten Bombus hypnorum and Bombus terrestris. Z Naturforsch 25b:543–548Google Scholar
  18. Röseler PF (1974) Vergleichende Untersuchungen zur Oogenese bei weiselrichtigen und weisellosen Arbeiterinnen der Hummelart Bombus terrestris. Insectes Soc 21:249–274Google Scholar
  19. Röseler PF, Röseler I (1977) Dominance in bumblebees. VIIIth Int Congr IUSSI. WageningenGoogle Scholar
  20. Röseler PF, Röseler I, Honk CJG van (1981) Evidence for the inhibition of corpora allata activity in workers of Bombus terrestris by pheromone of the queens mandibular glands. Experientia 37:348–351Google Scholar
  21. Seeley TD (1982) Spatial efficiency and the volution of temporal polyethism in honeybec colonies. In: Breed MJ, Michener CD, Evans HE (eds) The biology of social insects. Westview Press, Boulder (Colorado)Google Scholar
  22. Teitelman W (1974) Interlisp reference manual. Xerox, Palo AltoGoogle Scholar
  23. Trivers RL, Hare H (1976) Haplodiploidy and the evolution of social insects. Science 191:249–263Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • P. Hogeweg
    • 1
  • B. Hesper
    • 1
  1. 1.BioinformaticaUtrechtThe Netherlands

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