Syllabus
Date | Lecture topic | Lab | Readings |
---|---|---|---|
Week 1
9/3 |
Introduction: what is theoretical ecology? | - | Grainger et al., 2021 |
Week 2
9/10 |
Exponential population growth | Solving exponential growth equation using “deSolve” & Visualization | Gotelli [Ch.1], Case[Ch.1] |
Week 3
9/17 |
No class (National holiday) | - | - |
Week 4
9/24 |
Logistic population growth and stability analysis | Shinny App for logistic population growth | Gotelli [Ch.2], Case[Ch.5], Otto & Day[Ch.5] |
Week 5
10/1 |
Age-structured population models | Age-structured population model | Gotelli [Ch.3], Case[Ch.3] |
Week 6
10/8 |
Metapopulations and patch occupancy models | Metapopulations and patch occupancy models | Gotelli [Ch.4], Case[Ch.16] |
Week 7
10/15 |
Harvesting and bifurcation | Alternative stable state diagram | Pastor [Ch. 7], Strogatz [Ch. 3] |
Week 8
10/22 |
Lotka-Volterra model of competition: graphical analysis | Lotka-Volterra competition model - Population dynamics | Gotelli [Ch.5], Case[Ch.14] |
Week 9
10/29 |
Midterm exam | - | - |
Week 10
11/5 |
Lotka-Volterra model of competition: invasion analysis and linear stability analysis | Lotka-Volterra competition model - Visualization of dynamics with complex eigenvalues | Otto & Day [Ch.8], Broekman et al., 2019 |
Week 11
11/12 |
Predator-prey interactions (I) | Lotka-Volterra model of predator-prey interactions and time-scale separation | Gotelli [Ch.6], Case[Ch.12, 13] |
Week 12
11/19 |
Predator-prey interactions (II) + Discussion on May (1972) | Rosenzweig-MacArthur predator-prey model and May’s complexity-stability relationship | Gotelli [Ch.6], Case[Ch.12, 13], May., 1972 |
Week 13
11/26 |
Mechanistic models for consumer-resource dynamics | Parameter space for apparent competition model | Tilman., 1980, Armstrong & McGehee., 1980 |
Week 14
12/3 |
Multispecies models of predation: apparent competition | Resource competition | Holt., 1977 |
Week 15
12/10 |
Research applcations: plant-soil feedback as an example | - | - |
Week 16
12/17 |
Final exam | - | - |