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Optimal harvesting policy for the BevertonHolt model
An adaptive feedback methodology for determining information content in stable population studies
1.  Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 276958212 
2.  Undergraduate Research Opportunities Center (UROC), California State University, Monterey Bay, United States 
3.  Center for Research in Scientic Computation, North Carolina State University, Raleigh, NC 276958212, United States 
4.  Ecotoxicology Program, WSU Puyallup Research, Extension Center, Puyallup, WA 983714998, United States 
References:
[1] 
K. Adoteye, H. T. Banks, K. Cross, S. Eytcheson, K. B. Flores, G. A. LeBlanc, T. Nguyen, C. Ross, E. Smith, M. Stemkovski and S. Stokely, Statistical validation of structured population models for Daphnia magna,, Mathematical Biosciences, 266 (2015), 73. doi: 10.1016/j.mbs.2015.06.003. 
[2] 
K. Adoteye, H. T. Banks, K. B. Flores and G. A. LeBlanc, Estimation of timevarying mortality rates using continuous models for Daphnia magna,, Applied Mathematical Letters, 44 (2015), 12. doi: 10.1016/j.aml.2014.12.014. 
[3] 
H. T. Banks, J. E. Banks, L. K. Dick and J. D. Stark, Estimation of dynamic rate parameters in insect populations undergoing sublethal exposure to pesticides,, Bulletin of Mathematical Biology, 69 (2007), 2139. doi: 10.1007/s115380079207z. 
[4] 
H. T. Banks, J. E. Banks, R. Everett and J. Stark, An Adaptive Feedback Methodology for Determining Information Content in Population Studies,, CRSCTR1512, (2015), 15. 
[5] 
H. T. Banks, J. E. Banks, S. J. Joyner and J. D. Stark, Dynamic models for insect mortality due to exposure to insecticides,, Mathematical and Computer Modeling, 48 (2008), 316. doi: 10.1016/j.mcm.2007.10.005. 
[6] 
J. E. Banks, L. K. Dick, H. T. Banks and J. D. Stark, Timevarying vital rates in ecotoxicology: Selective pesticides and aphid population dynamics,, Ecological Modeling, 210 (2008), 155. doi: 10.1016/j.ecolmodel.2007.07.022. 
[7] 
H. T. Banks, S. Hu and W. C. Thompson, Modeling and Inverse Problems in the Presence of Uncertainty,, CRC Press, (2014). 
[8] 
H. T. Banks and H. T. Tran, Mathematical and Experimental Modeling of Physical and Biological Processes,, CRC Press, (2009). 
[9] 
J. R. Carey, Applied Demography for Biologists with Special Emphasis on Insects,, Oxford University Press, (1993). 
[10] 
V. E. Forbes and P. Calow, Is the per capita rate of increase a good measure of populationlevel effects in ecotoxicology?, Environmental Toxicology and Chemistry, 18 (1999), 1544. doi: 10.1002/etc.5620180729. 
[11] 
V. E. Forbes and P. Calow, Extrapolation in ecological risk assessment: Balancing pragmatism and precaution in chemical controls legislation,, Bioscience, 52 (2002), 249. 
[12] 
V. E. Forbes and P. Calow, Population growth rate as a basis for ecological risk assessment of toxic chemicals,, Philosophical Transaction of the Royal Society, 357 (2002), 1299. 
[13] 
N. Hanson and J. D. Stark, A comparison of simple and complex population models to reduce uncertainty in ecological risk assessments of chemicals: Example with three species of Daphnia,, Ecotoxicology, 20 (2011), 1268. doi: 10.1007/s1064601106754. 
[14] 
N. Hanson and J. D. Stark, Utility of population models to reduce uncertainty and increase value relevance in ecological risk assessments of pesticides: An example based on acute mortality data for Daphnids,, Integrated Environmental Assessment and Management, 8 (2012), 262. doi: 10.1002/ieam.272. 
[15] 
U. Hommen, J. M. Baveco, N. Galic and P. J. van den Brink, Potential application of ecological models in the European environmental risk assessment of chemicals I: review of protection goals in EU directives and regulations,, Integrated Environmental Assessment and Management, 6 (2010), 325. doi: 10.1002/ieam.69. 
[16] 
M. Kot, Elements of Mathematical Ecology,, Cambridge University Press, (2001). doi: 10.1017/CBO9780511608520. 
[17] 
J. D. Stark and J. E. Banks, Developing Demographic Toxicity Data: Optimizing Effort for Predicting Population Outcomes,, PeerJ, (2015). 
show all references
References:
[1] 
K. Adoteye, H. T. Banks, K. Cross, S. Eytcheson, K. B. Flores, G. A. LeBlanc, T. Nguyen, C. Ross, E. Smith, M. Stemkovski and S. Stokely, Statistical validation of structured population models for Daphnia magna,, Mathematical Biosciences, 266 (2015), 73. doi: 10.1016/j.mbs.2015.06.003. 
[2] 
K. Adoteye, H. T. Banks, K. B. Flores and G. A. LeBlanc, Estimation of timevarying mortality rates using continuous models for Daphnia magna,, Applied Mathematical Letters, 44 (2015), 12. doi: 10.1016/j.aml.2014.12.014. 
[3] 
H. T. Banks, J. E. Banks, L. K. Dick and J. D. Stark, Estimation of dynamic rate parameters in insect populations undergoing sublethal exposure to pesticides,, Bulletin of Mathematical Biology, 69 (2007), 2139. doi: 10.1007/s115380079207z. 
[4] 
H. T. Banks, J. E. Banks, R. Everett and J. Stark, An Adaptive Feedback Methodology for Determining Information Content in Population Studies,, CRSCTR1512, (2015), 15. 
[5] 
H. T. Banks, J. E. Banks, S. J. Joyner and J. D. Stark, Dynamic models for insect mortality due to exposure to insecticides,, Mathematical and Computer Modeling, 48 (2008), 316. doi: 10.1016/j.mcm.2007.10.005. 
[6] 
J. E. Banks, L. K. Dick, H. T. Banks and J. D. Stark, Timevarying vital rates in ecotoxicology: Selective pesticides and aphid population dynamics,, Ecological Modeling, 210 (2008), 155. doi: 10.1016/j.ecolmodel.2007.07.022. 
[7] 
H. T. Banks, S. Hu and W. C. Thompson, Modeling and Inverse Problems in the Presence of Uncertainty,, CRC Press, (2014). 
[8] 
H. T. Banks and H. T. Tran, Mathematical and Experimental Modeling of Physical and Biological Processes,, CRC Press, (2009). 
[9] 
J. R. Carey, Applied Demography for Biologists with Special Emphasis on Insects,, Oxford University Press, (1993). 
[10] 
V. E. Forbes and P. Calow, Is the per capita rate of increase a good measure of populationlevel effects in ecotoxicology?, Environmental Toxicology and Chemistry, 18 (1999), 1544. doi: 10.1002/etc.5620180729. 
[11] 
V. E. Forbes and P. Calow, Extrapolation in ecological risk assessment: Balancing pragmatism and precaution in chemical controls legislation,, Bioscience, 52 (2002), 249. 
[12] 
V. E. Forbes and P. Calow, Population growth rate as a basis for ecological risk assessment of toxic chemicals,, Philosophical Transaction of the Royal Society, 357 (2002), 1299. 
[13] 
N. Hanson and J. D. Stark, A comparison of simple and complex population models to reduce uncertainty in ecological risk assessments of chemicals: Example with three species of Daphnia,, Ecotoxicology, 20 (2011), 1268. doi: 10.1007/s1064601106754. 
[14] 
N. Hanson and J. D. Stark, Utility of population models to reduce uncertainty and increase value relevance in ecological risk assessments of pesticides: An example based on acute mortality data for Daphnids,, Integrated Environmental Assessment and Management, 8 (2012), 262. doi: 10.1002/ieam.272. 
[15] 
U. Hommen, J. M. Baveco, N. Galic and P. J. van den Brink, Potential application of ecological models in the European environmental risk assessment of chemicals I: review of protection goals in EU directives and regulations,, Integrated Environmental Assessment and Management, 6 (2010), 325. doi: 10.1002/ieam.69. 
[16] 
M. Kot, Elements of Mathematical Ecology,, Cambridge University Press, (2001). doi: 10.1017/CBO9780511608520. 
[17] 
J. D. Stark and J. E. Banks, Developing Demographic Toxicity Data: Optimizing Effort for Predicting Population Outcomes,, PeerJ, (2015). 
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