Population Dynamics and the Tribolium Model: Genetics and Demography

1 Introduction.- 1.1 A Brief History of the Mathematics of Tribolium.- 2 Biology and Dynamics of Age Structure.- 2.1 Models for Age-Structured Populations.- 2.2 Life Stage Interactions.- 2.3 Parameterization.- 2.4 Experimental Data and Computer Simulations.- 2.5 Summary and Conclusions.- 2.6 Appendix.- 3 Demographic Oscillations.- 3.1 Egg-Larval Submodel.- 3.2 Analytical Results.- 3.3 Numerical Results.- 3.4 Biological Relevance.- 3.5 Summary and Conclusions.- 3.6 Appendix.- 4 Continuous Stochastic Models.- 4.1 Deterministic Model for Adult Numbers.- 4.2 Stochastic Model for Adult Numbers.- 4.3 Statistical Procedures.- 4.4 Applications.- 4.5 Stationary Time Series.- 4.6 Time-Dependent Gamma Distribution.- 4.7 Summary and Conclusions.- 5 Discrete Stochastic Models.- 5.1 Population Growth as a Birth-Death Process.- 5.2 Nonlinear Birth-Death Process for Tribolium.- 5.3 Linear Birth-Death Approximation.- 5.4 Application to Tribolium brevicornis.- 5.5 Summary and Conclusions.- 5.6 Appendix.- 6 Natural Selection.- 6.1 Ecological-Genetic Perspective.- 6.2 Density-Regulated Natural Selection.- 6.3 Experimental Results on the Corn Oil Sensitive Mutant.- 6.4 Summary and Conclusions.- 7 Genetic Disequilibrium.- 7.1 An Entropy Measure of Genetic Disequilibrium.- 7.2 Rate of Genetic Adaptation.- 7.3 Density-Independent Population Growth.- 7.4 Density-Dependent Population Growth.- 7.5 Extensions to the Theory.- 7.6 Summary and Conclusions.- 8 Two Interacting Species.- 8.1 Competition as an Adult-Immature Interaction.- 8.2 Two Cannibalistic Species.- 8.3 An Inhibiting Species with a Cannibalistic Species.- 8.4 Two Inhibiting Species.- 8.5 Summary and Conclusions.- 9 Dynamics and the Tribolium Model.- 9.1 Demography.- 9.2 Stochasticity.- 9.3 Natural Selection.- 9.3.1 Natural Selection and Age Structure.- 9.4 Species Interactions.- 9.5 Summary and Conclusions.- References.- Author Index.