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 - -