DIDuncan: A function to compute Duncan dissimilarity segregation index
Description
Duncan's dissimilarity index is the segregation index
most commonly used in the literature. It is derived from Lorenz
curves as the maximum difference between the segregation curve
and the diagonal. The index measures the unevenness of a group's
spatial distribution compared to another group. It can be
interpreted as the share of the group that would have to move to
achieve an even distribution compared to another group.
Usage
DIDuncan(x)
Arguments
x
- an object of class matrix (or which can be coerced to that class),
where each column represents the distribution of a population group, within
spatial units. The number of columns should be greater than 1 (at least 2
population groups are required). You should not include a column with total
population in each unit, because this will be interpreted as a group.
Value
a matrix containing dissimilarity index values
References
Duncan O. D. and Duncan B. (1955) A Methodological
Analysis of Segregation Indexes. American Sociological Review 41,
pp. 210-217