Modeling bumble bee population dynamics with delay differential equations

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Modeling bumble bee population dynamics with delay differential equations. / Banks, H. T.; Banks, John E; Bommarco, Riccardo; Laubmeier, A. N.; Myers, N. J.; Rundlöf, Maj; Tillman, Kristen.

I: Ecological Modelling, Vol. 351, 10.05.2017, s. 14-23.

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

Harvard

Banks, HT, Banks, JE, Bommarco, R, Laubmeier, AN, Myers, NJ, Rundlöf, M & Tillman, K 2017, 'Modeling bumble bee population dynamics with delay differential equations', Ecological Modelling, vol. 351, s. 14-23. https://doi.org/10.1016/j.ecolmodel.2017.02.011

APA

Banks, H. T., Banks, J. E., Bommarco, R., Laubmeier, A. N., Myers, N. J., Rundlöf, M., & Tillman, K. (2017). Modeling bumble bee population dynamics with delay differential equations. Ecological Modelling, 351, 14-23. https://doi.org/10.1016/j.ecolmodel.2017.02.011

CBE

MLA

Vancouver

Author

Banks, H. T. ; Banks, John E ; Bommarco, Riccardo ; Laubmeier, A. N. ; Myers, N. J. ; Rundlöf, Maj ; Tillman, Kristen. / Modeling bumble bee population dynamics with delay differential equations. I: Ecological Modelling. 2017 ; Vol. 351. s. 14-23.

RIS

TY - JOUR

T1 - Modeling bumble bee population dynamics with delay differential equations

AU - Banks, H. T.

AU - Banks, John E

AU - Bommarco, Riccardo

AU - Laubmeier, A. N.

AU - Myers, N. J.

AU - Rundlöf, Maj

AU - Tillman, Kristen

PY - 2017/5/10

Y1 - 2017/5/10

N2 - 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.

AB - 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.

KW - Bombus terrestris

KW - Delay differential equations

KW - Non-autonomous

KW - Non-linear

KW - Population models

KW - Reproduction

KW - Spline approximations

UR - http://www.scopus.com/inward/record.url?scp=85014234759&partnerID=8YFLogxK

U2 - 10.1016/j.ecolmodel.2017.02.011

DO - 10.1016/j.ecolmodel.2017.02.011

M3 - Article

VL - 351

SP - 14

EP - 23

JO - Ecological Modelling

JF - Ecological Modelling

SN - 0304-3800

ER -