From rates to probabilities

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Description

cetotrans calculates transition probabilities from colonization and extinction rates for a determined interval of time, when provided.

Usage

1
cetotrans(c, e, dt = 1)

Arguments

c

Colonization rate.

e

Extinction rate.

dt

Interval of time.

Details

Given a pair of colonization and extinction rates, we can calculate the transition probabilities with the following equations:

T_{01} = (e / (c + e)) * (1 - exp( - (c + e) * dt))

T_{10} = (c / (c + e)) * (1 - exp( - (c + e) * dt))

Value

The transition probabilities T_01 and T_10 of the Markov chain associated with the specified colonization and extinction rates.

Examples

1
2
cetotrans(0.13, 0.19)
cetotrans(0.2, 0.2, 2)