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#' Get population attributable or impact fraction
# DESCRIPTION ##################################################################
#' @description
#' This function calculates the population attributable fraction or potential impact fraction
#' of a health outcome due to exposure to an environmental stressor
# ARGUMENTS ####################################################################
#' @param rr_at_exp_1 \code{Numerical value} showing the risk estimate of the concentration response function for a specific concentration in the scenario 1. The population attributable fraction is normally calculated using the risk estimate that refers to the concentration that reflects the population exposure and the cut-off. This risk estimate is obtained after re-scaling from the epidemiological study with a particular increment (e.g. for PM2.5 10 or 5 ug/m3) to the aimed concentration.
#' @param rr_at_exp_2 \code{Numerical value} showing the risk estimate of the concentration response function for a specific concentration in the scenario 2. The population attributable fraction is normally calculated using the risk estimate that refers to the concentration that reflects the population exposure and the cut-off. This risk estimate is obtained after re-scaling from the epidemiological study with a particular increment (e.g. for PM2.5 10 or 5 ug/m3) to the aimed concentration.
#' @param prop_pop_exp_1 \code{Numerical value} showing the fraction ([0,1]) of population exposed to the environmental stressor in the scenario 1. Per default = 1 (i.e. 100\% of population is exposed).
#' @param prop_pop_exp_2 \code{Numerical value} showing the fraction ([0,1]) of population exposed to the environmental stressor in the scenario 1. Per default = 1 (i.e. 100\% of population is exposed).
# DETAILS ######################################################################
#' @details
#' For more information about the equations used please see the function documentation of \code{attribute_health}.
# VALUE ########################################################################
#' @returns
#' This function returns a \code{value} corresponding to the population attributable fraction
#' @author Alberto Castro & Axel Luyten
#' @keywords internal
get_pop_fraction <-
function(rr_at_exp_1, rr_at_exp_2, prop_pop_exp_1, prop_pop_exp_2){
## Check that sum of prop_pop_exp = 1 (100% of population)!
## Source:
## https://www.ncbi.nlm.nih.gov/pmc/articles/PMC156894/
## pop_fraction = ( sum of the pairwise products of vector containing the proportion of
## the population exposed per exposure band and the corresponding vector
## containing the risk at each exposure band ) minus
## ( sum of the pairwise products of same proportion vector and risk at reference level (i.e. 1) ) divided by
## sum of the first products
pop_fraction <- (sum(prop_pop_exp_1 * rr_at_exp_1) - sum(prop_pop_exp_2 * rr_at_exp_2)) / (sum(prop_pop_exp_1 * rr_at_exp_1))
return(pop_fraction)
}
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