Abstract

Bumble bees are ubiquitous creatures and crucial pollinators to a vast assortment of crops worldwide. Bumble bee populations have been decreasing in recent decades, with demise of flower resources and pesticide exposure being two of several suggested pressures causing declines. Many empirical investigations have been performed on bumble bees and their natural history is well documented, but the understanding of their population dynamics over time, causes for observed declines, and potential benefits of management actions is poor. To provide a tool for projecting and testing sensitivity of growth of populations under contrasting and combined pressures, we propose a delay differential equation model that describes multi-colony bumble bee population dynamics. We explain the usefulness of delay equations as a natural modeling formulation, particularly for bumble bee modeling. We then introduce a particular numerical method that approximates the solution of the delay model. Next, we provide simulations of seasonal population dynamics in the absence of pressures. We conclude by describing ways in which resource limitation, pesticide exposure and other pressures can be reflected in the model. (C) 2017 Elsevier B.V. All rights reserved.

Keywords

Population models; Delay differential equations; Non-linear; Non-autonomous; Spline approximations; Bombus terrestris; Reproduction

Published in

Ecological Modelling
2017, Volume: 351, pages: 14-23
Publisher: ELSEVIER SCIENCE BV

SLU Authors

• Bommarco, Riccardo

  • Department of Ecology, Swedish University of Agricultural Sciences
    

Associated SLU-program

SLU Plant Protection Network


UKÄ Subject classification

Ecology


Publication identifier

DOI: https://doi.org/10.1016/j.ecolmodel.2017.02.011

Permanent link to this page (URI)

https://res.slu.se/id/publ/82536