PhD, University of Göttingen, Germany, 1992
412 Manter Hall
The interaction between a consumer and its resource is the fundamental building block of community structure; understanding the nature of this interaction is essential to almost every aspect of community ecology. As a consequence, substantial theory exists for consumer resource interactions, and there is a large body of empirical research documenting significant impacts of consumers on vital rates of the resource. One of the latest challenges is to bridge empirical and theoretical research by constructing mathematical models that are tailored to specific systems. These models can synthesize a large body of empirical data, incorporating key life history strategies, to quantify the effect of consumers on resource growth rates, as well as aid management of both consumer and resource. My research synergistically combines theoretical and empirical work on consumer-resource interactions. I am providing modeling expertise when collaborating with empirical scientists and ecological expertise when collaborating with mathematicians. The majority of my work focuses on insect-plant systems to address these questions in basic and applied ecology.
My work spans four broad areas of inquiry:
(1) Quantifying biological drivers of plant and insect population dynamics:
I use stage structured population models to identify key factors shaping population dynamics.
(2) Optimal decisions in behavior and life history:
I use mathematical models predicting ultimate causes for the evolution of specific phenotypes.
(3) Transient dynamics:
Traditional models focus on long term (stable) dynamics, and ignore the often dramatically different transient dynamics that happen before the system stabilizes. Recently there is an increasing recognition that frequent disturbances like fire or drought prevent populations in many systems from reaching stable dynamics.
(4) Population management:
My research evaluates alternative perturbation methods for stage structured population models; perturbation analysis is the corner stone for identifying which life history stage should be targeted to most effectively reach ones management goal.
Eager, E., Haridas, C.V., Pilson, D., Rebarber, R., and Tenhumberg, B. Disturbance frequency and vertical distribution of seeds affect long-term population dynamics: a mechanistic seed bank model, The American Naturalist, in press.
Eager, E., Rebarber, R., and Tenhumberg, B. Global asymptotic stability of plant-seed bank models, Journal of Mathematical Biology, in press.
Hinkelman, T. M., and Tenhumberg, B. Larval performance and consumption of Hippodamia convergens on Aphis fabae and Acyrthosiphon pisum, Journal of Insect Science, in press.
Ledder, G., and Tenhumberg, B. Creating an interdisciplinary research course in mathematical ecology, in: Undergraduate mathematics for the life sciences: processes, models, and directions, In: G. Ledder, J. P. Carpenter, and T. D. Comar (eds), Undergraduate mathematics for the life sciences: processes, models, and directions, Mathematical Association of America (MAA) Notes series, in press.
Ledder, G., and Tenhumberg, B., and Adams, T.G Introducing interdisciplinary research to young undergraduates, in: Undergraduate mathematics for the life sciences: processes, models, and directions, In: G. Ledder, J. P. Carpenter, and T. D. Comar (eds), Undergraduate mathematics for the life sciences: processes, models, and directions, Mathematical Association of America (MAA) Notes series, in press.
Eckberg, J.O., Tenhumberg, B., and Louda, S.M. (2012): Insect herbivory and propagule pressure influence Cirsium vulgare: Invasiveness across the landscape, Ecology, 93, 1787-1764.
Purandare, S. R., and Tenhumberg, B. (2012): Influence of aphid honeydew on the foraging behavior of Hippodamia convergens larvae (Coleoptera: Coccinellidae), Ecological Entomology 37, 184-192.
Rebarber, R., Tenhumberg, B. and Townley, S. (2012): Global asymptotic stability of density dependent integral projection models, Theoretical Population Biology 81, 81-87.
Townley, S., Rebarber, R., and Tenhumberg, B. (2012): A feedback control systems analysis of density dependent population dynamics, Systems & Control Letters 61,309-315.
Eager, E.A., Rebarber, R., and Tenhumberg, B. (2012): Choice of density-dependent seedling recruitment function affects predicted transient dynamics: A case study with Platte thistle, Theoretical Ecology, 5, 387–401
Haridas, C. V., Prendeville, H. R., Pilson, D., Tenhumberg, B. (2011): Response of population size to changing vital rates in random environments, Theoretical Ecology 2011, DOI 10.1007/s12080-011-0152-y. (published Online First 30 December 2011)
Louda, S. M., Rand, T. A., Kula A. A. R., Arnett A. E., West, N., and Tenhumberg, B. (2011): Priority resource access mediates competitive intensity between an invasive weevil and native floral herbivores, Biological Invasions 13, 2233-2248.
Keeler, K. and Tenhumberg, B. (2011): Population dynamics of the western prickly pear, Opuntia macrorhiza (Cactaceae), Southwestern Naturalist 56(2), 147–153.
Tenhumberg, B. (2010): Ignoring population structure can lead to erroneous predictions of population size.
Nature Education Knowledge 1 (10): 2.
Lubben, J., Boeckner, D., Rebarber, R., Townley, S. and Tenhumberg, B. (2009): Parameterizing the growth-decline boundary for uncertain population projection models Journal of Theoretical Biology 75, 85-97.
Tenhumberg, B., Tyre, A.J., and Rebarber, R. (2009): Model complexity affects predicted transient population
dynamics following a dispersal event: A case study with Acyrthosiphon pisum. Ecology 90, 1878-1890.
Lubben, J., Tenhumberg, B. Tyre, A.J., and Rebarber, R. (2008): Management Recommendations Based on Matrix Projection Models: The Importance of Considering Biological Limits, Biological Conservation, 141, 517-523.
Tenhumberg, B., Louda, S.M., Eckberg, J.O.,and Takahashi, M. (2008): Monte-Carlo
analysis of parameter uncertainty in matrix models of the weed Cirsium vulgare. Journal of Applied Ecology,
Tyre, A.J., Kerr, G.D., Tenhumberg, B. and Bull, C.M. (2007): Identifying mechanistic models of spatial behaviour using pattern-based modelling: an example from lizard home ranges. Ecological Modelling 208: 307-316.
Deines, A. Peterson, E, Ryan, R., Lubben, J., Keighley, A., Tenhumberg, B. Rebarber, R. Townley, S. Boeckner, D., Boyle, J., Kogut, J., Tyre, A.J. (2007): Robust population management under uncertainty for structured population models. Ecological Applications 17 (8), 2175-2183.
Tyre, A.J., Tenhumberg, B. and Bull, C.M. (2006): Identyfying landscape pattern from individual scale processes. Ecological Modelling, 199: 442-450
Tenhumberg, B., Siekman, G, and Keller, M.A. (2006): Optimal time allocation in parasitic wasps searching for hosts and food. Oikos 113: 121-131.
Siekmann, G., Keller, M.A., and Tenhumberg, B. (2004): The sweet tooth of adult parasitoid Cotesia rubecula: ingnoring hosts for nectar? Journal of Insect Behavior 17 (4): 459-476.
Tenhumberg, B., Tyre , A.J. Shea, K. and Possingham, H.P. (2004): Linking wild and captive populations to maximize species persistence: optimal translocation strategies. Conservation Biology 18 (5): 1304-1314.
Tenhumberg, B., Tyre , A.J., Pople, and A. Possingham, H.P. (2004): Do harvest refuges buffer kangaroos against evolutionary responses to selective harvesting. Ecology 85 (7): 2003-2007.
Tyre, A.J., Tenhumberg, B., Field, S.A., Niejalke, D., Parris, K., Possingham, H.P. (2003): Improving precision and reducing bias in biological surveys by estimating false negative error rates in presence-absence data. Ecological Applications 13 (6): 1790-1801.
Tyre , A.J., Bull, C.M., Tenhumberg, B., and Chilton, N. (2003): Indirect evidence of density-dependent
population regulation in Aponomma hydrosauri (Acari: Ixodidae), an ectoparasite of reptiles. Australian Journal of Ecology 28,
Tenhumberg, B., Keller, M.A., Possingham, H.P., and Tyre , A.J. (2001): The effect of resource aggregation at different scales: optimal foraging behaviour of Cotesia rubecula, The American Naturalist 158 (5), 505-518.
Siekmann, G., Tenhumberg, B. and Keller, M.A. (2001): Feeding and Survival in Parasitic Wasps: Sugar concentration and Timing matters, Oikos 95 (3), 425-430.
Tenhumberg, B., Keller, M.A., Possingham, H.P., and Tyre , A.J. (2001): Optimal patch leaving behaviour: a case study using the parasitoid Cotesia rubecula, Journal of Animal Ecology 70, 683-691.
Tenhumberg, B., Keller, M.A., and Possingham, H.P. (2001): Using Cox’s proportional hazard models to implement optimal strategies: en example from behavioural ecology, Mathematical and Computer Modelling 33, 597-607.
Tyre , A.J., Tenhumberg, B., McCarthy, M.A., and Possingham, H.P. (2000): Swapping space for time and unfair tests of ecological models. Australian Journal of Ecology 25, 327-331.
Tyre , A.J., and Tenhumberg, B. (2000): Hidden mechanisms generate negative feedbacks in a stochastic model. Australian Journal of Ecology 25, 305-307.
Tenhumberg, B., Tyre , A.J., and Roitberg, B.D. (2000): Stochastic variation in food availability influences weight and age at maturity. Journal of Theoretical Biology 202, 257-272.