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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

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