SA - Spatial Autocorrelation Morans I Gearys C Arthur J....

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© Arthur J. Lembo, Jr. Salisbury University Spatial Autocorrelation Moran’s I Geary’s C
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© Arthur J. Lembo, Jr. Salisbury University Spatial Autocorrelation First law of geography: “everything is related to everything else, but near things are more related than distant things” – Waldo Tobler Many geographers would say “I don’t understand spatial autocorrelation” Actually, they don’t understand the mechanics, they do understand the concept.
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© Arthur J. Lembo, Jr. Salisbury University Spatial Autocorrelation Spatial Autocorrelation – correlation of a variable with itself through space. If there is any systematic pattern in the spatial distribution of a variable, it is said to be spatially autocorrelated If nearby or neighboring areas are more alike, this is positive spatial autocorrelation Negative autocorrelation describes patterns in which neighboring areas are unlike Random patterns exhibit no spatial autocorrelation
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© Arthur J. Lembo, Jr. Salisbury University Why spatial autocorrelation is important Most statistics are based on the assumption that the values of observations in each sample are independent of one another Positive spatial autocorrelation may violate this, if the samples were taken from nearby areas Goals of spatial autocorrelation Measure the strength of spatial autocorrelation in a map test the assumption of independence or randomness
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© Arthur J. Lembo, Jr. Salisbury University Spatial Autocorrelation Spatial Autocorrelation is, conceptually as well as empirically, the two- dimensional equivalent of redundancy It measures the extent to which the occurrence of an event in an areal unit constrains, or makes more probable, the occurrence of an event in a neighboring areal unit.
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© Arthur J. Lembo, Jr.
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SA - Spatial Autocorrelation Morans I Gearys C Arthur J....

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