Ecological Modeling

Alan Hastings (June 20, 2011)

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Slides

0:05 Modeling in Ecology
0:11 Outline
2:57 Issues of ecological modeling(why it is hard)
5:40 Example of modeling from single species
6:28 Single species - approach one
7:25 Alternate approach
7:49 Alternate approach (cont.)
8:41 All models represent a tradeoff
9:10 Strategies for analysis of models
9:47 Role of stochasticity
11:30 The basic predator-prey interaction
13:34 The classic predator prey cycle of hare and lynx shows oscillations
14:39 The simplest assumption about predation
16:08 Basic assumptions of predator-prey interactions
16:55 Basic assumptions of predator-prey interactions (cont.)
17:35 Basic assumptions of predator-prey interactions (cont.)
18:04 Basic assumptions of predator-prey interactions (cont.)
18:29 Basic steps in first analysis
20:15 Basic steps in first analysis (cont.)
21:59 Basic steps in first analysis (cont.)
22:42 The general sign pattern of the linearization
24:07 The general sign pattern of the linearization (cont.)
25:21 The general sign pattern of the linearization(cont.)
25:28 Graphical analysis is particularly useful here
27:37 Can read the signs of the Jacobian entries from the graph
28:22 Numerical Solutions
30:14 Numerical Solutions (cont.)
31:17 Graphical analysis
31:21 Read signs of Jacobian
31:54 Numerical solutions confirm
32:03 Laboratory experiments by Gause tell a different story
34:33 Experiments with mites by Huffaker
36:07 Modifying description of predation may provide key
38:08 Modifying description of predation may provide key (cont.)
39:29 Modifying description of predation may provide key(cont.)
40:24 Modifying description of predation may provide key (cont.)
41:05 Modifying description of predation may provide key (cont.)
41:20 Locally (in the phase plane) the same as before
43:14 Different
44:52 Numerical Solutions confirm
45:38 Issues in modeling of aquatic systems
46:05 what controls population growth
46:44 A focus on nitrogen is often helpful
48:25 A focus on nitrogen is often helpful(cont.)
49:37 A focus on nitrogen is often helpful (cont.)
50:12 A focus on nitrogen is often helpful (cont.)
51:24 A focus on nitrogen is often helpful (cont.)
51:26 A focus on nitrogen is often helpful (cont.)
51:38 A focus on nitrogen is often helpful (cont.)
51:59 A focus on nitrogen is often helpful (cont.)
52:19 A focus on nitrogen is often helpful (cont.)
52:58 Pick from the menu above and analyze
53:11 Pick from the menu above and analyze(cont.)
53:57 Pick from the menu above and analyze(cont.)
54:25 Divergence of Trajectories
54:56 Divergence of Trajectories (cont.)
55:51 A focus on complex solutions...
56:34 Regime shifts in ecological systems
56:50 Regime shifts in ecological systems(cont.)
57:09 Regime shifts in ecological systems (cont.)
57:44 Regime shifts without warning
57:47 How to get beyond a single spatial location
58:59 How to get beyond a single spatial location (cont.)
59:01 How to get beyond a single spatial location (cont.)

Abstract

Some underlying issues of modeling in ecology
2 species predator prey dynamics and analysis
Aquatic ecological systems - basic issues
NPZ modeling basics
NPZ "applications" and extensions