Tobler's first law of geography
The first law of geography according to Waldo Tobler is "Everything is related to everything else, but near things are more related than distant things."[1]
This observation is embedded in the gravity model of trip distribution. It is also related to the law of demand, in that interactions between places are inversely proportional to the cost of travel, which is much like the probability of purchasing a good is inversely proportional to the cost.
It is also related to the ideas of Isaac Newton's Law of universal gravitation and is essentially synonymous with the concept of spatial dependence that forms the foundation of spatial analysis. Furthermore, it is the founding principal upon which the understanding and corrective measures for spatial autocorrelation have been based upon.[2]
The link structure of Wikipedia's collection of geolocated articles has been demonstrated to be consistent with Tobler's first law of geography.[3]
References
- ^ Tobler W., (1970) "A computer movie simulating urban growth in the Detroit region". Economic Geography, 46(2): 234-240.
- ^ Luc Anselin, Spatial Econometrics, 1999 <https://csiss.ncgia.ucsb.edu/aboutus/presentations/files/baltchap.pdf>
- ^ Hecht, B., Moxley, E.: "Terabytes of Tobler: Evaluating the first law in a massive, domain-neutral representation of world knowledge" (PDF).. In Hornsby, K.S., Claramunt, C., Denis, M., Ligozat, G., eds.: Spatial Information Theory, 9th International Conference, COSIT 2009, Aber Wrac'h, France, September 21-25, 2009, Proceedings. Volume 5756 of Lecture Notes in Computer Science., Springer (2009) 88-105
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