In GIS, interpolation is made possible by a principle called
Spatial autocorrelation
Geographic Information Systems (GIS) often require estimating values at locations where data hasn't been collected directly. This process is called interpolation. Think of it like predicting the temperature in a city based on readings from nearby weather stations.
Interpolation in GIS relies heavily on a fundamental concept known as spatial autocorrelation. This principle essentially states that features or phenomena that are close to each other in geographic space tend to be more related than features that are farther apart. This idea is famously summarized by Tobler's First Law of Geography:
"Everything is related to everything else, but near things are more related than distant things."
In GIS, spatial autocorrelation means that a measured value at a specific location is likely similar to values at nearby locations. This inherent geographic ordering allows us to make predictions.
Interpolation techniques leverage spatial autocorrelation by using known data points to estimate values at unknown points. The closer a known data point is to the unknown location, the more influence (or weight) its value typically has on the estimate. Methods like Inverse Distance Weighting (IDW) and Kriging are built upon this principle. They assume that the values closer to the prediction point are better indicators of the value at that point.
Therefore, the presence of spatial autocorrelation in geographic data is the key principle that makes interpolation a valid and useful technique in GIS.
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