ecological modelling 204 ( 2 0 0 7 ) 219–245
available at www.sciencedirect.com
journal homepage: www.elsevier.com/locate/ecolmodel
HoPoMo: A model of honeybee intracolonial population
dynamics and resource management
Thomas Schmickl
∗
, Karl Crailsheim
Department for Zoology, Karl-Franzens-University Graz, Universit¨ atsplatz 2, A-8010 Graz, Austria
article info
Article history:
Received 20 July 2006
Received in revised form
5 December 2006
Accepted 2 January 2007
Published on line 15 February 2007
Keywords:
Honeybee
Population dynamics
Cannibalism
Division of labor
Pollen
abstract
The population dynamics of eusocial insects differ significantly from those of non-eusocial
animals. With eusocial insects, one has to distinguish between a population of colonies
and the population of individuals inside each colony. These two levels are closely related,
because the decision whether a colony reproduces or not is mainly determined by its intra-
colonial population and resource status. In addition, a population’s rate of colony mortality
is strongly dependent on each colony’s intracolonial status. Honeybees collect their food
in the environment, their most important ecological aspect is the pollinating of plants. In
recent empirical studies, we demonstrated the importance of food supply on the popula-
tion dynamics of honeybee colonies. In addition, honeybees show division of labor, which
occurs in the form of age polyethism, meaning that morphologically almost identical worker
bees choose their tasks mainly dependent on age. This task selection system is very flexible
and is significantly affected by changes in task-specific workloads or in the age structure of
the colony. Recent studies have shown that environmental factors and/or natural or exper-
imental changes in resource supply heavily affect the age structure, resulting in changes in
task allocation within the colony. These changes further affect the intracolony population
dynamics and age structure. This situation can be described as a set of delayed feedback
loops. We created a mathematically simple honeybee population model (HoPoMo) using
difference equations to model the population dynamics and the resource dynamics of a
honeybee colony. Our model emphasizes the importance of pollen supply and of brood can-
nibalism, an aspect that was neglected by other honeybee population models so far. HoPoMo
includes simple models of task selection and of nutrient allocation. It allows us to simulate
a variety of colony conditions (colony size, intrinsic bee characteristics, resource status)
and a variety of environmental conditions (rain, temperature, botanical resource availabil-
ity). The model can be easily parameterized with real weather data and with experimental
colony treatments, so that we can use the model to interpret empirical experimental data.
We successfully compared the predictions of our model with data gained from the litera-
ture and from own experiments. Extensive sensitivity analysis revealed that the model’s
predictions of population dynamics are very stable, except at very low mortality rates.
And finally, we demonstrate, that the model can be used for several environmental con-
ditions of honeybee living: controlled bee hives, scientifically used colonies and wild-life
honeybees.
© 2007 Elsevier B.V. All rights reserved.
∗
Corresponding author. Tel.: +43 316 380 8759; fax: +43 316 380 9875.
E-mail address: schmickl@nextra.at (T. Schmickl).
0304-3800/$ – see front matter © 2007 Elsevier B.V. All rights reserved.
doi:10.1016/j.ecolmodel.2007.01.001