entropy {EconGeo}

Compute the Shannon entropy index from regions - industries matrices

Description

This function computes the Shannon entropy index from regions - industries matrices from (incidence) regions - industries matrices

Usage

entropy(mat)

Arguments

mat

An incidence matrix with regions in rows and industries in columns

Value

A numeric vector representing the Shannon entropy index computed from the regions - industries matrix

Author(s)

Pierre-Alexandre Balland [e-mail]

References

Shannon, C.E., Weaver, W. (1949) The Mathematical Theory of Communication. Univ of Illinois Press.

Frenken, K., Van Oort, F. and Verburg, T. (2007) Related variety, unrelated variety and regional economic growth, Regional studies 41 (5): 685-697.

See Also

diversity

Examples

## generate a region - industry matrix
set.seed(31)
mat <- matrix(sample(0:100, 20, replace = TRUE), ncol = 4)
rownames(mat) <- c("R1", "R2", "R3", "R4", "R5")
colnames(mat) <- c("I1", "I2", "I3", "I4")

## run the function
entropy(mat)