MPM Tutorial
Preface
1
Introduction
1.1
What are matrix population models?
1.2
What are matrix population models used for?
1.3
A brief history of matrix population models
1.4
Common pitfalls in matrix population model construction
1.5
Mathematical essentials
1.5.1
Notation
1.5.2
Matrix multiplication
1.6
Matrix population models in R
I Simple Matrix Population Models
2
General Considerations
3
Age-Structured Models
3.1
The recipe
3.1.1
Ingredients
3.1.2
Construct the birth matrix,
\(\mathbf{B}\)
3.1.3
Construct the survival matrix,
\(\mathbf{P}\)
3.1.4
Combine the birth and survival matrices into the projection matrix
3.2
Example
3.3
Why use this recipe?
3.4
Extensions, caveats, and assumptions
3.4.1
No maximum age
3.4.2
Post-reproductive ages
3.4.3
Extended breeding season
3.4.4
Dependent offspring
3.4.5
Individual heterogeneity
4
Stage-Structured Models
4.1
The recipe
4.1.1
Ingredients
4.1.2
Construct the birth matrix,
\(\mathbf{B}\)
4.1.3
Construct the survival matrix,
\(\mathbf{P}\)
4.1.4
Construct the developmental transition matrix,
\(\mathbf{T}\)
4.1.5
Combine the birth, survival, and transition matrices into the projection matrix
4.2
Example
5
Size-Structured Models
6
Sensitivity analysis
6.1
Sensitivity analysis of age-structured MPMs
6.1.1
Example
References
Published with bookdown
Reliable Construction of Matrix Population Models from Demographic Information
Chapter 5
Size-Structured Models