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MENTAL MODEL · M3473

Tobler's First Law of Geography

Tobler's First Law of Geography
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Updated 2026-07-31

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INTRODUCTION

English translation pending.

CORE DEFINITION

A principle stated by Waldo Tobler in 1970: everything is related to everything else, but near things are more related than distant things. It formalises distance decay, the tendency of similarity, interaction and influence to fall with separation. The law underlies spatial autocorrelation, the fact that values at nearby locations resemble each other more than values drawn at random, and it justifies spatial weights and local models in geography and spatial statistics. It describes a regularity rather than a causal mechanism, and the strength of the effect varies by phenomenon.

SCAFFOLDING EFFECT

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- Spatial Weighting: model influence as decaying with distance rather than spread evenly. - Local Baseline: compare a location with its neighbours instead of with a global average. - Neighbour Audit: check what the adjacent units imply before trusting a distant trend.

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Interaction, exchange and diffusion all require contact, and contact becomes less frequent and more costly as distance grows. Nearby units therefore share shocks, constraints and information, which produces similarity in outcomes such as prices, disease rates and trade flows. Because this correlation is spatial rather than random, ignoring it both wastes information and creates bias, since a variable that varies smoothly across space can look like a cause of another variable doing the same.

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    en.wikipedia.orghttps://en.wikipedia.org/wiki/Tobler's_first_law_of_geographyZH · Explicit
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