Skills for Dynamic Models

2021 ◽  
pp. 213-250
Author(s):  
Timothy E. Essington

The chapter “Skills for Dynamic Models” provides worked examples of the dynamic models presented in Part 1, both in spreadsheets and in R. It also covers some of the mathematical steps used in model analysis. In most cases, instructions are given for both spreadsheets and R. However, when some activities are far easier to do in a programming environment than in spreadsheets, only the instructions for R are shown. The chapter starts out by discussing the skills needed for structured population models, including setting up age structure and creating cobweb plots. Next, it reviews the skills needed for multivariable models, including calculating isoclines and Jacobian matrices. Finally, it introduces the concept of Monte Carlo methods and provides guidance on how to implement them.

2021 ◽  
pp. 47-60
Author(s):  
Timothy E. Essington

The chapter “Structured Population Models” illustrates how one adds more detail to a model, first through density-independent models, then by showing common matrix-model formulations and how those are used to reveal properties of structured models (e.g. population growth rate, stage/age structure). Structured population models have more detail than their nonstructured counterparts. They account for the differences among individuals within a population, usually by explicitly modeling them as distinct state variables. Elasticity analysis is introduced as a way to identify life stages that have a disproportionately large influence on population growth rate. Structured density-dependent models are briefly introduced as extensions on these models.


2001 ◽  
Vol 43 (2) ◽  
pp. 157-189 ◽  
Author(s):  
O. Diekmann ◽  
M. Gyllenberg ◽  
H. Huang ◽  
M. Kirkilionis ◽  
J.A.J. Metz ◽  
...  

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