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
Supplementary Materials
Timecodes
- 00:05
- Modeling in Ecology
- 00:11
- Outline
- 02:58
- Issues of ecological modeling(why it is hard)
- 05:40
- Example of modeling from single species
- 06:29
- Single species - approach one
- 07:26
- Alternate approach
- 07:50
- Alternate approach (cont.)
- 08:42
- All models represent a tradeoff
- 09:11
- Strategies for analysis of models
- 09:47
- Role of stochasticity
- 11:30
- The basic predator-prey interaction
- 13:35
- 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
- 16:56
- 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
- 20:16
- Basic steps in first analysis (cont.)
- 22:00
- 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.)
- 25:22
- 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
- 30:15
- Numerical Solutions (cont.)
- 31:18
- Graphical analysis
- 31:21
- Read signs of Jacobian
- 31:54
- Numerical solutions confirm
- 32:04
- Laboratory experiments by Gause tell a different story
- 34:33
- Experiments with mites by Huffaker
- 36:08
- Modifying description of predation may provide key
- 38:08
- Modifying description of predation may provide key (cont.)
- 39:30
- Modifying description of predation may provide key(cont.)
- 40:25
- Modifying description of predation may provide key (cont.)
- 41:06
- Modifying description of predation may provide key (cont.)
- 41:21
- Locally (in the phase plane) the same as before
- 43:15
- Different
- 44:53
- Numerical Solutions confirm
- 45:38
- Issues in modeling of aquatic systems
- 46:06
- what controls population growth
- 46:44
- A focus on nitrogen is often helpful
- 48:25
- A focus on nitrogen is often helpful(cont.)
- 49:38
- A focus on nitrogen is often helpful (cont.)
- 50:13
- A focus on nitrogen is often helpful (cont.)
- 51:25
- A focus on nitrogen is often helpful (cont.)
- 51:27
- 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.)
- 52:20
- A focus on nitrogen is often helpful (cont.)
- 52:59
- 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.)
- 54:26
- Divergence of Trajectories
- 54:57
- 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.)
- 57:10
- 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.)