How to calculate the Moving Standard Deviation Index (MSDI) From Landsat Satellite Imagery?
Dear Hassan,
The vegetation change from one location to another is often spatially variable due to redistribution of sediments and water (Friedel et al. 1993). When observing an increase of spatial heterogeneity, the landscape has moved from a state of equilibrium to non-equilibrium, and one can say that it has become dysfunctional (Ludwig and Tongway 1997). MSDI can be calculated using a 3×3 filter that can be passed across the red band, and then calculate the standard deviation for every nine-pixel window. Then, the standard deviation is placed onto a new map at the same location as the central pixel of each nine-pixel window (Tanser 1997; Tanser and Palmer 1999; Jafari et al. 2008; Xu et al. 2009). The formula which can be used for MSDI is as follows:
MSDI = Squareroot (SUM from 1 to N (Square(DNi - DN')/N))
where N represents the pixel number of the filter (N= 9), DNi is the digital number of pixel, i, in each nine pixel window, and DN' is the average digital number value of each nine-pixel window
I hope this is helpful!
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