Ecological Modeling
Alan Hastings, Environmental Sci. and Policy, University of California (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 ecology2 species predator prey dynamics and analysis
Aquatic ecological systems - basic issues
NPZ modeling basics
NPZ "applications" and extensions
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