Graphing The Data: Exploring the Equilibrium of the Basic Metapopulation Model
We have seen that the basic metapopulation model allows us to calculate the proportion of occupied patches based on the probability of extinction (e) and on the probability of colonization (c).
- 1. Based on the probabilities of extinction and colonization provided in the table below, complete the table.
- 2. Use a line graph to plot the relationship between the proportion of occupied patches and the rate of extinction.
- 3. On the same graph, plot the relationship between the proportion of occupied patches and the rate of colonization.
- 4. Based on the two line graphs, where do the extinction rates and colonization rates come into equilibrium?
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PARAMETER VALUES FROM THE BASIC METAPOPULATION MODEL |
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|---|---|---|---|---|
| PROPORTION OF OCCUPIED PATCHES p | PROBABILITY OF EXTINCTION e | RATE OF EXTINCTION e × p | PROBABILITY OF COLONIZATION c | RATE OF COLONIZATION (c × p) × (1 − p) |
| 0.1 | 0.25 | 0.50 | ||
| 0.2 | 0.25 | 0.50 | ||
| 0.3 | 0.25 | 0.50 | ||
| 0.4 | 0.25 | 0.50 | ||
| 0.5 | 0.25 | 0.50 | ||
| 0.6 | 0.25 | 0.50 | ||
| 0.7 | 0.25 | 0.50 | ||
| 0.8 | 0.25 | 0.50 | ||
| 0.9 | 0.25 | 0.50 | ||
| 1.0 | 0.25 | 0.50 | ||
