Calculate 'q' from 'p' for the distance-decay model

Calculate 'q' from 'p' for the distance-decay model

Usage

calc_dd_phalf_from_pinfr(pinfr)

Arguments

pinfr

A vector of numeric values containing the values of 'pinfr'

Value

A vector of length length(pinfr) containing the values of phalf associated with pinfr

Details

"pinfr": the probability of being within the foraging range; "phalf": the proportion of the foraging range within which half of the UD lies Mathematical derivation: Define q to be such that: [1 - exp(-beta * fr * phalf)] / [1 - exp(-beta * fr)] = 1/2 Since: beta = −log(1 − pinfr) / fr We can immediately derive: phalf = log(1 - (pinfr/2)) / log(1 - pinfr)