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Moran's I

15 Jan 2007 (Updated 14 Oct 2008)

No BSD License

Calculates local Moran's I index of spatial correlation for raster.

File Information
Description	PURPOSE: calculate local Moran's I for a local grid using a weight matrix. ------------------------------------------------------------------- USAGE: m = moransI(grid, W, s); where: [grid] is the matrix to analyze [W] is the normalized weight matrix of the size the local Moran's I will be calculated for [s] is an optional flag to use zscores of input values for calculation. Set to 'true' if zscores of local grid should be calculated. Leave blank if not desired or input values are already standardized. ------------------------------------------------------------------------- OUTPUTS: [m] Moran's I of input raster weighted using [W] ------------------------------------------------------------------- NOTES: Weight matrix needs to be 'moving window' style, not contiguity matrix: Moran's I is calculated and weighted for neighbours to center cell. Matrix needs to be normalized (weights sum to 1) and center cell weight will be set to 0 if not already. See Anselin (1995, 'LISA.', Geogr. Analysis 27(2),p.93f) for details on standardized variables in calculation of local Moran's I.
MATLAB release	MATLAB 7.2 (R2006a)
Zip File Content
Other Files	moransI.m, morans_I.m

Tags for This File
Everyone's Tags	earth, local morans i, morans i, spatial autocorrelation
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Comments and Ratings (1)
20 Jun 2007	Jay Lennard	Ok, but use of confilt or nlfilter would speed up things (would require imageprocessing toolbox)

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Updates
18 Jun 2007	Updated version - Includes loop for whole matrix - use zscores() - includes example
14 Oct 2008	-> updated version uses colfilt to increase speed about factor 10 - image processing toolbox required. -> Original version renamed to morans_I() does not need IPT.
14 Oct 2008	.

Tag Activity for this File
Tag	Applied By	Date/Time
morans i	Felix Hebeler	22 Oct 2008 08:57:03
local morans i	Felix Hebeler	22 Oct 2008 08:57:03
spatial autocorrelation	Felix Hebeler	22 Oct 2008 08:57:03
earth	Felix Hebeler	22 Oct 2008 08:57:03

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