fgt_poverty {accessibility} | R Documentation |
Foster-Greer-Thorbecke (FGT) poverty measures
Description
Calculates the FGT metrics, a family of poverty measures originally proposed
by Foster et al. (1984) that capture the
extent and severity of poverty within an accessibility distribution. The FGT
family is composed of three measures that differ based on the \alpha
parameter used to calculate them (either 0, 1 or 2) and which also changes
their interpretation. Please see the details section for more information on
the interpretation of the measures.
Usage
fgt_poverty(
accessibility_data,
sociodemographic_data,
opportunity,
population,
poverty_line,
group_by = character(0)
)
Arguments
accessibility_data |
A data frame. The accessibility levels whose
poverty levels should be calculated. Must contain the columns |
sociodemographic_data |
A data frame. The distribution of
sociodemographic characteristics of the population in the study area cells.
Must contain the columns |
opportunity |
A string. The name of the column in |
population |
A string. The name of the column in |
poverty_line |
A |
group_by |
A |
Value
A data frame containing the three poverty estimates (FGT0, FGT1 and FGT2) for the study area.
Interpretation of FGT measures
The interpretation of each FGT measure depends on the \alpha
parameter
used to calculate it:
with
\alpha = 0
(FGT0) the measure captures the extent of poverty as a simple headcount - i.e. the proportion of people below the poverty line;with
\alpha = 1
(FGT1) the measure, also know as the "poverty gap index", captures the severity of poverty as the average percentage distance between the poverty line and the accessibility of individuals below the poverty line;with
\alpha = 2
(FGT2) the measure simultaneously captures the extent and the severity of poverty by calculating the number of people below the poverty line weighted by the size of the accessibility shortfall relative to the poverty line.
FGT values range from 0 to 1. A value of 0 indicates that every individual is above the poverty line. When every individual is below the poverty line, however, FGT0 value is 1 and FGT1 and FGT2 values approach 1.
References
Foster J, Greer J, Thorbecke E (1984). “A Class of Decomposable Poverty Measures.” Econometrica, 52(3), 761–766. ISSN 0012-9682, doi:10.2307/1913475, 1913475.
Examples
data_dir <- system.file("extdata", package = "accessibility")
travel_matrix <- readRDS(file.path(data_dir, "travel_matrix.rds"))
land_use_data <- readRDS(file.path(data_dir, "land_use_data.rds"))
access <- cumulative_cutoff(
travel_matrix,
land_use_data,
cutoff = 30,
opportunity = "jobs",
travel_cost = "travel_time"
)
poverty <- fgt_poverty(
access,
opportunity = "jobs",
sociodemographic_data = land_use_data,
population = "population",
poverty_line = 95368
)
poverty