Abstract:

A discrete mathematical model was developed to study the population dynamics after a time-varying environmental disaster (R4.x261.000:0008). A 5-stage-structure matrix includes parameters for stage-specific survival and transition rates, as well as annual fecundity. This model can be used to examine the sensitivity and elasticity of the model, as well as demographic and environmental stochasticity, and many others.

Suggested Citation:

Azmy Ackleh, Tingting Tang. 2017. Discrete mathematical model to study population dynamics after an environmental disaster. Distributed by: GRIIDC, Harte Research Institute, Texas A&M University–Corpus Christi. doi:10.7266/N7ZK5DQ7

Publications:

Ackleh, A. S., Chiquet, R. A., Ma, B., Tang, T., Caswell, H., Veprauskas, A., & Sidorovskaia, N. (2017). Analysis of lethal and sublethal impacts of environmental disasters on sperm whales using stochastic modeling. Ecotoxicology. doi:10.1007/s10646-017-1813-4

Purpose:

This model was developed to eventually utilize passive acoustic detections of marine mammals to study population dynamics in the northern Gulf of Mexico.

Data Parameters and Units:

parameters include stage-specific survival rate (percent given as decimal 0 to 1; sigma), stage-specific transition rate (percent given as decimal 0 to 1; lambda), annual fecundity (b; given as a rate of offspring per female), reduction rate (epsilon; reduction in vital rates = epsilon; reduction in fecundity = epsilonb), population size, Tcritical (time of full reduction from disaster), Tend (time of exposure to disaster)

Methods:

All modeling codes were generated using Matlab (*.m file extension) software

Individual Files: