Relative Shannon entropy H / log(n) of built-up land (or density) over n zones; near 1 for dispersed growth, near 0 for compact growth.
References
Yeh, A. G.-O. and Li, X. (2001). Measurement and monitoring of urban sprawl in a rapidly growing region using entropy. Photogrammetric Engineering and Remote Sensing 67, 83-90.
Examples
SprawlEntropy(c(5, 5, 5, 5))$relative
#> [1] 1
