The basic metapopulation model also allows for the calculation of extinction rates and colonization rates. Use the data in the table to calculate the missing rates of extinction and rates of colonization. Round your answer to three decimal places. Proportion of Probability of Rate of Probability of Rate of occupied patches extinction extinction colonization colonization e x p (c x p) × (1 – p) e 0.1 0.25 0.025 0.50 0.045 0.2 0.25 0.50 0.3 0.25 0.075 0.50 0.105 0.4 0.25 0.100 0.50 0.120 0.5 0.25 0.50 0.6 0.25 0.150 0.50 0.120 0.7 0.25 0.175 0.50 0.105 0.8 0.25 0.50 0.9 0.25 0.225 0.50 0.045 1.0 0.25 0.50

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The basic metapopulation model explains how to find the proportion of occupied patches, ?, in a fragmented habitat. In this model, ? is 1 minus the probability of extinction, ?, divided by the probability of colonization, ?.

?=1−?/?

The basic metapopulation model also allows for the calculation of extinction rates and colonization rates. Use the data in the table to calculate the missing rates of extinction and rates of colonization. Round your answer to three decimal places.

**Rate of Extinction and Colonization Table**

This section explores the rates of extinction and colonization for varying values of \( p \). Below is a table where you can input the respective rates based on specific values of \( p \).

- **Rate of extinction when \( p = 0.2 \):** [Input Box]
- **Rate of colonization when \( p = 0.2 \):** [Input Box]

- **Rate of extinction when \( p = 0.5 \):** [Input Box]
- **Rate of colonization when \( p = 0.5 \):** [Input Box]

- **Rate of extinction when \( p = 0.8 \):** [Input Box]
- **Rate of colonization when \( p = 0.8 \):** [Input Box]

- **Rate of extinction when \( p = 1.0 \):** [Input Box]
- **Rate of colonization when \( p = 1.0 \):** [Input Box]

These input boxes allow you to record the rates based on your observations or calculations within ecological studies.
Transcribed Image Text:**Rate of Extinction and Colonization Table** This section explores the rates of extinction and colonization for varying values of \( p \). Below is a table where you can input the respective rates based on specific values of \( p \). - **Rate of extinction when \( p = 0.2 \):** [Input Box] - **Rate of colonization when \( p = 0.2 \):** [Input Box] - **Rate of extinction when \( p = 0.5 \):** [Input Box] - **Rate of colonization when \( p = 0.5 \):** [Input Box] - **Rate of extinction when \( p = 0.8 \):** [Input Box] - **Rate of colonization when \( p = 0.8 \):** [Input Box] - **Rate of extinction when \( p = 1.0 \):** [Input Box] - **Rate of colonization when \( p = 1.0 \):** [Input Box] These input boxes allow you to record the rates based on your observations or calculations within ecological studies.
The basic metapopulation model allows for the calculation of extinction rates and colonization rates. Use the data in the table to calculate the missing rates of extinction and rates of colonization. Round your answer to three decimal places.

| Proportion of occupied patches \( p \) | Probability of extinction \( e \) | Rate of extinction \( e \times p \) | Probability of colonization \( c \) | Rate of colonization \( (c \times p) \times (1 - p) \) |
|----------------------------------------|---------------------------------|----------------------------------|---------------------------------------|-----------------------------------------------------|
| 0.1                                    | 0.25                            | 0.025                            | 0.50                                  | 0.045                                               |
| 0.2                                    | 0.25                            | 0.050                            | 0.50                                  |                                                     |
| 0.3                                    | 0.25                            | 0.075                            | 0.50                                  | 0.105                                               |
| 0.4                                    | 0.25                            | 0.100                            | 0.50                                  | 0.120                                               |
| 0.5                                    | 0.25                            | 0.125                            | 0.50                                  |                                                     |
| 0.6                                    | 0.25                            | 0.150                            | 0.50                                  | 0.120                                               |
| 0.7                                    | 0.25                            | 0.175                            | 0.50                                  | 0.105                                               |
| 0.8                                    | 0.25                            | 0.200                            | 0.50                                  |                                                     |
| 0.9                                    | 0.25                            | 0.225                            | 0.50                                  | 0.045                                               |
| 1.0                                    | 0.25                            | 0.250                            | 0.50                                  |                                                     |

Calculations should be made using the formulas provided for the rate of extinction and rate of colonization: 

1. **Rate of Extinction** is determined by multiplying the probability of extinction \( e \) by the proportion of occupied patches \( p \).

2. **Rate of Colonization** is calculated as \( (c \times p) \times (1 - p) \), where \( c \) is the
Transcribed Image Text:The basic metapopulation model allows for the calculation of extinction rates and colonization rates. Use the data in the table to calculate the missing rates of extinction and rates of colonization. Round your answer to three decimal places. | Proportion of occupied patches \( p \) | Probability of extinction \( e \) | Rate of extinction \( e \times p \) | Probability of colonization \( c \) | Rate of colonization \( (c \times p) \times (1 - p) \) | |----------------------------------------|---------------------------------|----------------------------------|---------------------------------------|-----------------------------------------------------| | 0.1 | 0.25 | 0.025 | 0.50 | 0.045 | | 0.2 | 0.25 | 0.050 | 0.50 | | | 0.3 | 0.25 | 0.075 | 0.50 | 0.105 | | 0.4 | 0.25 | 0.100 | 0.50 | 0.120 | | 0.5 | 0.25 | 0.125 | 0.50 | | | 0.6 | 0.25 | 0.150 | 0.50 | 0.120 | | 0.7 | 0.25 | 0.175 | 0.50 | 0.105 | | 0.8 | 0.25 | 0.200 | 0.50 | | | 0.9 | 0.25 | 0.225 | 0.50 | 0.045 | | 1.0 | 0.25 | 0.250 | 0.50 | | Calculations should be made using the formulas provided for the rate of extinction and rate of colonization: 1. **Rate of Extinction** is determined by multiplying the probability of extinction \( e \) by the proportion of occupied patches \( p \). 2. **Rate of Colonization** is calculated as \( (c \times p) \times (1 - p) \), where \( c \) is the
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