Jim Powell

Publications | Abstracts

• Bentz, B.J, Powell, J.A, Logan, J.A, (1996). Self-focusing and Self-dissipation: Strategies for Mountain Pine Beetle Survival.” Proceedings: North American Forest InsectWork Conference. Texas Forest Service Publication *

An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.

Publications | Books

Publications | Book Chapters

• Regniere, J., Bentz, B.J, Powell, J.A, St-Amant, R., (2015). Individual-based modelling: mountain pine beetle seasonal biology in response to climate: Modeling Forest Landscape Disturbances. Springer
• Regniere, J., Powell, J.A, (2013). Animal life cycle models: Phenology: An Integrative Environmental Science. Kluwer Academic Publishers
• Powell, J.A, Logan, J.A, (2009). Ecological consequences of climate change altered forest insect disturbance regimes: Climate change in western North America : Evidence and environmental effects. University of Utah Press
• Heavilin, J., Powell, J.A, Logan, J.A, (2007). Development and parametrization of a model for bark beetle disturbance in lodgepole forest: Plant Disturbance Ecology. Academic Press
• Powell, J.A, Bentz, B.J, Powell, J.A, (1996). Spatial and Temporal Attack Dynamics of the Mountain Pine Beetle: Implications for Management: Integrating Cultural Tactics into the Management of Bark Beetle and Reforestation Pests. USDA Forest Service GTR-NE-236

An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.

Publications | Curriculum

An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.

Publications | Journal Articles

Academic Journal

• Powell, J.A, Garlick, M.J, Bentz, B.J, Friedenberg, N.A, (2018). Differential Dispersal and the Allee Effect Create Power-Law Behavior: Distribution of Spot Infestations During Mountain Pine Beetle Outbreaks. Journal of Animal Ecology, 87, 73-86. doi: 10.1111/1365-2656.12700
• Duncan, J.P, Powell, J.A, (2017). Analytic approximation of invasion wave amplitude predicts severity of insect outbreaks. SIAM Journal of Applied Mathematics, 77, 294-314.
• Hefley, T.J, Hooten, M.B, Russell, R.E, Walsh, D.P, Powell, J.A, (2017). When mechanism matters: forecasting the spread of disease using ecological diffusion. Ecology Letters, doi: doi:10.1111/ele.12763
• Duncan, J.P, Powell, J.A, Rozum, R.N, Kettenring, K., (2017). Multi-scale methods predict invasion speeds in variable landscapes. Case study: Phragmites australis. Theoretical Ecology, 10, 287-303. doi: 10.1007/s12080-017-0329-0
• Lewis, M., Powell, J.A, (2017). Yeast for Mathematicians - A Ferment of Discovery and Model Competition with Data. Bulletin of Mathematical Biology, 79:2, 356-382. doi: DOI 10.1007/s11538-016-0236-3
• Guiver, C.C, Edholm, C., Jin, Y., Powell, J.A, Rebarber, R., Tenhumberg, B., Townley, S., (2016). Simple adaptive control for positive linear systems with applications to pest management. SIAM J. Applied Math, 76, 238-275.
• Lewis, M., Powell, J.A, (2016). Modeling zombie outbreaks: A problem-based approach to improving mathematics one brain at a time. PRIMUS, 26, 705-726.
• Bentz, B.J, Duncan, J.P, Powell, J.A, (2016). Vulnerability assessment of mountain pine beetle population growth in a changing climate: A case study in the US Northern Rocky Mountains. Forestry, 89, 271-283. doi: doi: 10.1093/forestry/cpv054
• Dooley, E.M, Six, D.L, Powell, J.A, (2015). A comparison of mountain pine beetle (Coleoptera: Curculionidae, Scolytinae) productivity and survival in lodgepole and whitebark pine after a region-wide cold weather event. Forest Science, 61, 235-246.
• Duncan, J.P, Powell, J.A, Gordillo, L.F, Eason, J., (2015). A model for mountain pine beetle outbreaks in an age structure forest: Approximating severity and outbreak-recovery cycle period. Journal of Mathematical Biology, 77, 1256-1284.
• Addison, A., Powell, J.A, Bentz, B.J, Six, D.L, (2015). Integrating models to investigate critical phenological overlaps in complex ecological interactions: The mountain pine beetle-fungus symbiosis. J. Theoretical Biology, 368, 55-66.
• Neupane, R.C, Powell, J.A, (2015). Invasion Speeds with Active Dispersers in Highly Variable Landscapes: Multiple Scales, Homogenization, and the Migration of Trees. J. Theoretical Biology, 387, 1506-23.
• Neupane, R.C, Powell, J.A, (2015). Mathematical model of active seed dispersal by frugivorous birds and migration potential of pinyon and juniper in Utah. Applied Mathematics, 6, 1506-23.
• Kay, S., Powell, J.A, (2015). Canid social structure and density dependence improve predator-prey models of Canis latrans and Lepus californicus in Curlew Valley, UT. Open Journal of Ecology, 5, 120-135.
• Sims, C., Aadland, D., Powell, J.A, Crabb, B., Finnoff, D., (2014). Complementarity in the provision of ecosystem services reduces the cost of mitigating climate-amplified natural disturbance events. Proceedings of the National Academy of Sciences, 111, 16718-16723.
• Powell, J.A, Bentz, B., (2014). Mountain pine beetle seasonal timing and constraints to bivoltinism: A comment on Mitton and Ferrenberg (2012). American Naturalist
• Engelhardt, K.A, Ritchie, M.E, Powell, J.A, (2014). Body size and the included niche: Patterns of resource use by Tundra and Trumpeter swans. the Scientific World Journal, 2014:Article ID 643694
• Hooten, M.B, Garlick, M.J, Powell, J.A, (2013). Computationally Efficient Statistical Differential Equation Modeling Using Homogenization. J. Applied Biological and Environmental Statistics, 18, 405-428.
• Strohm, S., Tyson, R., Powell, J.A, (2013). Pattern formation in a model for mountain pine beetle dispersal: Linking model predictions to data. Bulletin of Mathematical Biology, 75, 1778-1797.
• Powell, J.A, Bentz, B.J, (2013). Phenology and Density-Dependent Dispersal Predict Patterns of Mountain Pine Beetle ( Dendroctonus ponderosae) Impact. Ecological Modeling, 273, 173-185.
• Addison, A., Powell, J.A, Bentz, B., Six, D., (2013). The role of temperature variability in stabilizing the mountain pine beetle-fungus mutualism. J. Theoreteical Biology, 336, 40-50.
• Addison, A., Powell, J.A, Six, D., Moore, M., Bentz, B., (2013). The role of temperature variability in stabilizing the mountain pine beetle-fungus mutualism. J. Theoretical Biology, 336, 40-50.
• Sims, C., Aadland, D., Finnoff, D., Powell, J.A, (2013). How ecosystem service provision can increase forest mortality from insect outbreaks. Land Economics, 89:1, 154-176.
• Garlick, M.J, Powell, J.A, Hooten, M., MacFarlane, L., (2012). Homogenization, Sex, and Differential Motility Predict Spread of Chronic Wasting Disease in Mule Deer in Southern Utah. Journal of Mathematical Biology
• Powell, J.A, Kohler, B.R, Haefner, J.W, Bodily, J., (2012). Carrying BioMath Education in a Leaky Bucket. Bulletin of Mathematical Biology, 74, 2232-2264.
• Hsu, J., Powell, J.A, Adler, P., (2012). Sensitivity of primary production to precipitation. Global Change Biology, 18, 2246–2255.
• Regniere, J., Powell, J.A, Nealis, V., Bentz, B., (2012). Effects of Temperature on Development, Survival and Reproduction of insects: Experimental Design, Data Analysis and Modeling. Journal of Insect Physiology, 58, 634-647.
• Modisett, M., Powell, J.A, (2012). Black-Scholes Option Pricing Model Modified to Admit a Miniscule Drift can Reproduce the Volatility Smile. Applied Mathematics, 6, 597-605. doi: 10.4236/am.2012.36093
• Cobbold, C.A, Powell, J.A, (2011). A Quantitative Genetics Approach to Model the Evolution of Insect Development. Bulletin of Mathematical Biology, 73, 1052-1081.
• Hansen, E.M, Bentz, B.J, Powell, J.A, Gray, D.R, Vandygriff, J.C, (2011). Prepupal diapause and instar IV developmental rates of the spruce beetle, Dendroctonus rufipennis (Coleoptera: Curculionidae, Scolytinae). Journal of Insect Physiology, 57, 1347–1357.
• Garlick, M.J, Powell, J.A, Hooten, M.B, (2011). Homogenization of large scale movement models in ecology. Bulletin of Mathematical Biology, 73, 2088-108.
• Kohler, B.R, Atkins, B., Haefner, J.W, Powell, J.A, (2010). Leading Students to Investigate Diffusion as a Model of Brine Shrimp Movement. Bulletin of Mathematical Biology, 72:1, 230-257.
• Garlick, M.J, Powell, J.A, (2010). Mathematically Modelling Polymerase Chain Reaction: An Asymptotic Approximation with Potential for Optimization. Mathematical Biosciences and Engineering, 7, 365-386.
• Yurk, B.P, Powell, J.A, (2010). Modeling the Effects of Developmental Variation on Insect Phenology. Bulletin of Mathematical Biology, 72, 1334-1360.
• Powell, J.A, Bentz, B.J, (2009). Connecting Phenological Predictions with Population Growth Rates for an Outbreak Insect. Landscape Ecology, 24, 657-672.
• Powell, J.A, Bentz, B.J, (2009). Connecting Phenological Predictions with Population Growth Rates for an Outbreak Insect. Landscape Ecology, 24, 657-672.
• Yurk, B.P, Powell, J.A, (2009). Modeling the Evolution of Insect Phenology. Bulletin of Mathematical Biology, 71, 952-979.
• Heavilin, J., Powell, J.A, (2008). A novel method for fitting spatio-temporal models to data, with applications to the dynamics of Mountain Pine Beetle. Natural Resource Modelling, 21, 489-524.
• Lof, M., Etienne, R., Powell, J.A, de Gee, M., Hemerik, L., (2008). The effect of chemical information on the spatial distribution of fruit flies I: Model results.. Bulletin of Mathematical Biology, 70, 1827-1849.
• Kathuroju, N., White, M.A, Symanzik, J., Schwartz, M.D, Powell, J.A, Nemani, R.R, (2007). On the Use of the Advanced Very High Resolution Radiometer for the Development of Prognostic Land Surface Phenology Models. Ecological Modeling, 201:2, 144-156. doi: 10.1016/j.ecolmodel.2006.09.011
• Friedenberg, N.A, Powell, J.A, Ayres, M.P, (2007). Synchrony’s double edge: Transient dynamics and the Allee effect in stage structured populations. Ecology Letters, 10, 1-10.
• Hicke, J.A, Logan, J.A, Powell, J.A, Ojima, D.S, (2006). Changing temperatures influence suitability for mountain pine beetle outbreaks in the western US. Journal of Geophysical Research - Biogeosciences, 111, G02019.
• Powell, J.A, Slapnicar, I., van der Werf, W., (2005). Epidemic Spread of a Lesion-Forming Plant Pathogen – Analysis of a Mechanistic Model with Infinite Age Structure. Journal of Linear Algebra and Applications, 398, 117-140.
• Skelsey, P., Rossing, W.H, Kessel, G.J, Powell, J.A, van der Werf, W., (2005). Influence of Host Diversity on Development of Epidemics: An Evaluation and Elaboration of Mixture Theory. Phytopathology, 95, 328-338.
• Powell, J.A, Logan, J.A, (2005). Insect Seasonality – Circle Map Analysis of Temperature-Driven Life Cycles. Theoretical Population Biology, 67, 161-179.
• Powell, J.A, Gilbert, E., Logan, J.A, (2004). Comparison of three models predicting developmental milestones given environmental and individual variation. Bulletin of Mathematical Biology, 66, 1821-1850.
• Kessel, G.J, Kohl, J., Powell, J.A, Rabbinge, R., van der Werf, W., (2004). Modelling spatial characteristics in the biocontrol of fungi at the leaf scale: Competitive substrate colonization by Botrytis cinerea and the saprophytic antagonist Ulocladium atrum. Phytopathology, 95, 439-48.
• Powell, J.A, Zimmermann, N.E, (2004). Multi-Scale Analysis of Seed Dispersal Contributes to the Resolution of Reid’s Paradox. Ecology, 85:2, 490-506.
• Logan, J.A, Regniere, J., Powell, J.A, (2003). Assessing the Impacts of Global Climate Change on Forest Pests. Frontiers in Ecology, 1:3, 130-137.
• Cutler, D., Brown, L., Powell, J.A, Bentz, B., Cutler, A., (2003). Identifying ‘Redtops’: Classification of Satellite Imagery for Tracking Mountain Pine Beetle Progression through a Pine Forest. Computing Science and Statistics, 35, 711–728.
• de Jong, M., Bourdot, G., Powell, J.A, Goudriaan, J., (2002). A model of the escape of Sclerotinia sclerotiorum ascospores from pasture. Ecological Modeling, 150, 83-105.
• Etienne, R., Wertheim, B., Hemerik, L., Schneider, P., Powell, J.A, (2002). The interaction between dispersal, the Allee effect and scramble competition affects population dynamics. Ecological Modelling, 148, 153-168.
• Logan, J.A, Powell, J.A, (2001). Ghost Forests, Global Warming and the Mountain Pine Beetle. American Entomologist, 47, 160-173.
• Powell, J.A, Jenkins, J.L, Logan, J.A, Bentz, B.J, (2001). Low seasonal temperatures promote life cycle synchronization. Bulletin of Math Biology, 63, 573-595.
• van der Werf, W., Evans, E.W, Powell, J.A, (2001). Measuring and modelling dispersal of Coccinella septempunctata in alfalfa fields. European Journal of Entomology, 97, 487-493.
• Biesinger, Z., Powell, J.A, Bentz, B., Logan, J., (2000). Direct and Indirect Parametrization of a Localized Model for the Mountain Pine Beetle – Lodgepole Pine System. Ecological Modelling, 129, 273-296.
• Etienne, R., Wertheim, B., Hemerik, L., Schneider, P., Powell, J.A, (2000). Dispersal may enable persistence of fruit flies suffering from the Allee effect and scramble competition. Proceedings of the Dutch Entomological Society, 11, 121-128.
• van der Werf, W., Evans, E.W, Powell, J.A, (2000). Dispersal of Coccinella septempunctata in Utah alfalfa. Proceedings of the Dutch Entomological Society, 11, 135-144.
• Powell, J.A, Engelhardt, K.M, Roy, V.L, Kadlec, J.A, (2000). Evaluation of translocation criteria: a case study with trumpeter swans (Cygnus buccinator). Biological Conservation, 94, 173-181.
• Powell, J.A, Kennedy, B., White, P., Bentz, B., Logan, J., Roberts, D., (2000). Mathematical elements of attack risk analysis for mountain pine beetles. J. Theor. Biol., 204, 601-620.
• Powell, J.A, Engelhardt, K.M, (2000). Optimal trajectories for the short-distance foraging flights of swans. J. Theor. Biology, 204, 415-430.
• Powell, J.A, Jenkins, J., Logan, J., Bentz, B., (2000). Seasonal Temperature Alone Can Synchronize Life Cycles. Bulletin Mathematical Biology, 62, 997-998.
• Powell, J.A, McMillen, T., White, P., (1998). Connecting a Chemotactic Model for Mass Attack to a Rapid Integro-Difference Emulation Strategy. SIAM J. Appl. Math, 59:2, 547-572.
• Powell, J.A, Cangelosi, J.S, Harris, A.M, (1998). Games to teach mathematical modelling. SIAM Review, 40:1, 87-95.
• Logan, J., White, P., Bentz, B., Powell, J.A, (1998). Model analysis of the temporal evolution of spatial patterns in mountain pine beetle outbreaks. Theor. Pop. Biology, 53, 236-255.
• White, P., Powell, J.A, (1998). Spatial invasion of pine beetles into lodgepole forests: a numerical approach. SIAM J. Sci. Comp., 20:1, 164-184.
• Powell, J.A, Tams, J., Bentz, B., Logan, J., (1998). Theoretical Analysis of ‘Switching’ in a Localized Model for Mountain Pine Beetle Mass Attack. J. Theor. Biology, 194, 49-63.
• Powell, J.A, (1997). Conditional stability of front solutions. J. Math. Biol, 35, 729-47.
• Mott, K.A, Denne, F., Powell, J.A, (1997). Interactions among stomata in response to perturbations in humidity. Plant, Cell and Environment, 20, 1098-1107.
• Powell, J.A, Rose, J., (1997). Local consequences of a global model for mountain pine beetle mass attack. Dynamics and Stability of Systems, 12:1, 3-24.
• Powell, J.A, Logan, J.A, Bentz, B.J, (1996). Local projections for a global model of mountain pine beetle attacks. J. Theor. Biol., 179, 243-260.
• Powell, J.A, Wright, E.M, Moloney, J.V, (1994). Reflection of localized beams from a nonlinear absorbing interface. SIAM J. Appl. Math, 54, 774-788.
• Powell, J.A, Jakobsen, P.K, (1993). Localized states in fluid convection and multi-photon lasers. Physica D, 64, 132-52.
• Powell, J.A, Moloney, J.V, Newell, A.C, Albanese, R.A, (1993). Beam collapse as an explanation for anomalous ocular damage. JOSA B, 10, 1230-1241.
• Powell, J.A, Tabor, M., (1992). Non-generic connections corresponding to front solutions. J. Phys. A, 25, 3773-3796.
• Jones, C.R, Kapitula, T.M, Powell, J.A, (1990). Nearly real fronts in a Ginzburg-Landau equation. Proc. Roy. Soc. Edinburgh, 116A
• Tremback, C., Powell, J.A, Cotton, W., Pielke, R., (1987). The forward-in-time upstream advection scheme: extension to higher orders. Monthly Weather Rev., 115, 540-555.

In-House Journal

• Crabb, B.A, Powell, J.A, Bentz, B.J, (2012). Development and assessment of 30-meter pine density maps for landscape-level modeling of mountain pine beetle dynamics. USDA FS Rocky Mountain Research Station Research Paper, RMRS-RP-93WWW

An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.

Publications | Technical Reports

Research Reports

• Bentz, B.J, Powell, J.A, Logan, J.A, (1996). Spatial and temporal attack dynamics of the mountain pine beetle (Dendroctonus ponderosae) in lodgepole pine. USDA/FS Research Note
• Powell, J.A, (1990). Beam Collapse in the Human Eye. AFOSR grant number 910074 *

Other Reports

• Powell, J.A, Bernoff, A., (1989). Saddle-node bifurcation of slowly-varying, nonlinear travelling waves. AFOSR grant number 900021

An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.

Publications | Other

An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.