Spatial dynamics of teak defoliator (Hyblaea puera Cramer) - Cochin ...
Spatial dynamics of teak defoliator (Hyblaea puera Cramer) - Cochin ...
Spatial dynamics of teak defoliator (Hyblaea puera Cramer) - Cochin ...
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APPENDIX A<br />
ALGORITHM: FOR COMPUTATION OF AUTOCORRELAnON INDICES<br />
The general notation used in spatial autocorrelation formulas and their interpretation<br />
is as follows:<br />
n - the total number <strong>of</strong>cells in a layer: N rows x N columns<br />
ij - any two adjacent cells<br />
Zi - the value <strong>of</strong>attribute <strong>of</strong>the cell i<br />
cij - the similarity <strong>of</strong> i's and j's attributes: (zi-zi<br />
wij - the similarity <strong>of</strong> i's and j's locations, Wij = 1 if cells i and j are directly adjacent<br />
and 0 other wise<br />
2 - the sample variance: (z, - zml / (n - 1) where Zm is the mean cell value for<br />
o the grid<br />
In the terms <strong>of</strong>the above notation, spatial autocorrelation is a measure <strong>of</strong>the attribute<br />
similarities in the set <strong>of</strong> cij with the locational similarities <strong>of</strong> the set <strong>of</strong> Wij. and then<br />
summing the results into a single index.<br />
The formula for calculating the Geary index is:<br />
c = W C ij I( 2 (w )(<br />
U ij<br />
where.<br />
w=4*n<br />
ij<br />
The formula for calculating the Moran index is<br />
where,<br />
LLWij:::::4*n<br />
z - Z m ) 2 ) I( n - 1))<br />
i<br />
\01