Skip to main content
Log in

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

  • Published:
Behavioral Ecology and Sociobiology Aims and scope Submit manuscript

Summary

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.

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

Access this article

Price includes VAT (Hong Kong/P.R.China)

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Brian MV (1968) Regulation of sexual reproduction in an ant society. Colloq Int CNRS 173:61–76

    Google Scholar 

  • 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)

  • Gower JC (1966) Some distance properties of latent root and vector methods used in multivariate analysis. Biometrika 23:623–627

    Google Scholar 

  • 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 221–231

    Google Scholar 

  • 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 63–74

    Google Scholar 

  • Hogeweg P, Hesper B (1981b) On the role of OBSERVERS in large scale systems. In: UKSC Conference on Computer Simulation, Westbury IIouse, Harrogate, pp 420–425

  • Hogeweg P, Hesper B (1981c) Two predators and one prey in a patehy environment an application of MICMAC modelling. J Theor Biol 93:411–432

    Google Scholar 

  • Hogeweg P (1983) Heterarchical systems as simulation modelling formalism. In: Singh M (ed) Encyclopedia of systems and control. Pergamon Press, Oxford

    Google Scholar 

  • Honk CJG (1981) The social structure of bumble-bee colonics, Thesis, RU Utrecht

  • 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 28:191–198

    Google Scholar 

  • Honk CJG van, Hogeweg P (1981) The ontogeny of the social structure in a captive Bombus terrestris Colony. Behav Ecol Sociobiol 9:111–119

    Google Scholar 

  • Michener CD (1974) The social behaviour of the bees. A comparative study. The Belknap Press of Harvard University Press, Cambridge (Massachusetts)

    Google Scholar 

  • Oster GF (1976) Modelling social inscet populations. I. Ergonomics of foraging and population growth in bumble bees. Am Nat 110:215–245

    Google Scholar 

  • Oster GF, Wilson EO (1978) Caste and ecology in the social insects. Princeton University Press, Princeton (New Yersey)

    Google Scholar 

  • Pendrel BA, Plowright RC (1981) Larval feeding by adult bumble bee workers (Hymenoptera: Apidae). Behav Ecol Sociobiol 8:71–76

    Google Scholar 

  • Plowright RC, Pendrel BA (1977) Larval growth in bumble bees (Hymenoptera: Apidae). Can Entomol 109:967–973

    Google Scholar 

  • Röseler PF (1970) Unterschiede in der Kastendetermination zwischen den Hummelarten Bombus hypnorum and Bombus terrestris. Z Naturforsch 25b:543–548

    Google Scholar 

  • Röseler PF (1974) Vergleichende Untersuchungen zur Oogenese bei weiselrichtigen und weisellosen Arbeiterinnen der Hummelart Bombus terrestris. Insectes Soc 21:249–274

    Google Scholar 

  • Röseler PF, Röseler I (1977) Dominance in bumblebees. VIIIth Int Congr IUSSI. Wageningen

  • 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 37:348–351

    Google Scholar 

  • 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 

  • Teitelman W (1974) Interlisp reference manual. Xerox, Palo Alto

    Google Scholar 

  • Trivers RL, Hare H (1976) Haplodiploidy and the evolution of social insects. Science 191:249–263

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hogeweg, P., Hesper, B. The ontogeny of the interaction structure in bumble bee colonies: A MIRROR model. Behav Ecol Sociobiol 12, 271–283 (1983). https://doi.org/10.1007/BF00302895

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00302895

Keywords

Navigation