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As the number of states tends to infinity, the predictions made by both models converge to those of a regression model.
Global climate models converge to simulate, at least for the Amazonian region, a change in precipitation regime over the coming decades (Malhi et al. 2009).
The results show that assuming fixed 1/k and π for the NB and ZIP distributions, respectively, both models converge to a Poisson distribution at the producer's quality level.
When enough corrections are made, the two models converge to the same result.
Although the two models converge to the same coalescent or diffusion limit, in which the population size approaches infinity, we demonstrate that, when multiple loci are considered, the rate of convergence in the Moran model is significantly slower than that in the WF model.
For condition I the dynamics from all three alternative models converge to same upper and lower steady states (XT = 95 for upper steady state and XT = 0.0001 for lower steady state Figure 3a. The full model is represented by solid red line (up state) and solid blue line (down state).
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This observation supports the conjecture that these approximations are independent from possible different microscopic models converging to the same deterministic limit.
In this study, a regression analysis is considered to be valid only when both regression models converged to the same result.
Age-at-harvest models converged to values that minimized the objective function (as indicated by positive definite Hessian matrices output from AD Model Builder) in >96% of the simulations for each scenario.
All models converged to similar parameter values and likelihoods.
Analyses were also repeated using different starting values to minimise the chance of the models converging to a local maximum.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com