Population Dynamics and the Tribolium Model: Genetics and DemographyThe study of populations is becoming increasingly focused on dynamics. We believe there are two reasons for this trend. The ftrst is the impactof nonlinear dynamics with its exciting ideas and colorful language: bifurcations, domains of attraction, chaos, fractals, strange attractors. Complexity, which is so very much a part of biology, now seems to be also a part of mathematics. A second trend is the accessibility of the new concepts. Thebarriers tocommunicationbetween theoristandexperimentalistseemless impenetrable. The active participationofthe experimentalist means that the theory will obtain substance. Our role is the application of the theory of dynamics to the analysis ofbiological populations. We began our work early in 1979 by writing an ordinary differential equation for the rateofchange in adult numbers which was based on an equilibrium model proposed adecadeearlier. Duringthenextfewmonths weftlledournotebookswithstraightforward deductions from the model and its associated biological implications. Slowly, some of the biological observations were explained and papers followed on a variety of topics: genetic and demographic stability, stationary probability distributions for population size,population growth asabirth-deathprocess, natural selectionanddensity-dependent population growth, genetic disequilibrium, and the stationary stochastic dynamics of adult numbers. |
Contents
1 | |
5 | |
4 | 22 |
Biology and Dynamics of Age Structure | 24 |
5 | 47 |
2 | 55 |
3 | 65 |
3 | 71 |
3 | 149 |
ཚ3 ཆ ཆེR8 8b བྷུ | 153 |
4 | 163 |
2 | 171 |
3 | 172 |
4 | 178 |
101 | 182 |
DensityDependent Population Growth | 186 |
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Population Dynamics and the Tribolium Model: Genetics and Demography Robert F. Costantino,Robert A. Desharnais No preview available - 2011 |
Common terms and phrases
adult densities adult numbers age classes age structure allele frequency analysis approximation asymptotic autocorrelation biological birth-death process brevicornis cannibalism rates Chapter computed confusum corn oil Costantino 1980 cultures dashed line demographic density function density-dependent Desharnais and Costantino deterministic discrete egg-larval submodel eigenvalues entropy equilibrium point extinction fecundity fitted gamma flour beetle gamma distribution genetic disequilibrium genetic equilibrium genetic strains genotype given homozygous hypothesis immature initial allele frequencies interactions large larvae larvae Leslie limit cycles linear mean and variance mortality rates multiple attractors N₁ natural selection nonlinear number of adults observed obtain oscillations parameter estimates parameter values Park polymorphic population density population dynamics population growth population numbers populations of Tribolium predictions probability distribution pupae R. A. Desharnais R. F. Costantino reference population replicates represent species stationary distribution steady-state stochastic model subcritical trajectory Tribolium castaneum Tribolium populations ulation unstable variable