
Waldo Rudolf Tobler, one of the world's leading geographers and cartographers, introduced the first law of geography, also known as Tobler's first law of geography. Tobler's law is based on the concept of spatial dependence and spatial autocorrelation, stating that everything is related to everything else, but near things are more related than distant things. This law has significant implications for spatial analysis and various geographic phenomena, including human and urban geography, economic activities, and scientific disciplines such as geographic information science. While some have disputed the validity of Tobler's law, it has nonetheless left a profound impact on the field of geography and paved the way for the development of quantitative geography and analytical cartography.
| Characteristics | Values |
|---|---|
| Name | Waldo R. Tobler |
| Year | 1969 or 1970 |
| First Law of Geography | Everything is related to everything else, but near things are more related than distant things |
| Second Law of Geography | The phenomenon external to an area of interest affects what goes on inside |
| Career | Geographer, cartographer, scientist |
| Notable Contributions | Establishment of analytical cartography, early contributions to Geographic Information Systems (GIS), groundwork for geographic information science (GIScience), contributions to computer cartography, first animated map |
| Education | B.S. and Ph.D. in Geography |
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What You'll Learn
- Waldo R. Tobler introduced the first law of geography in 1969
- The law is based on the concept of the friction of distance
- The law is the foundation of spatial dependence and spatial autocorrelation
- Tobler's law was proposed during the quantitative revolution in geography
- The usefulness and validity of Tobler's first law have been disputed

Waldo R. Tobler introduced the first law of geography in 1969
Tobler's first law of geography, also known as TFL, states that "everything is related to everything else, but near things are more related than distant things". In other words, objects or phenomena that are geographically closer together are more likely to be similar or have some kind of spatial relationship compared to objects that are farther apart. This law is based on the concept of cost distance or distance decay, where greater distance hinders interaction between places.
The first law of geography was introduced in an article published by Tobler in the journal Economic Geography in 1970. In this article, Tobler discussed creating a computer simulation of population growth in Detroit. Tobler stated that to make his model operational, he would "invoke the first law of geography". The full law as stated by Tobler is:
> Everything is related to everything else, but near things are more related than distant things.
Tobler's first law has been widely cited and is considered important in the field of geography, particularly within the sub-discipline of geographic information science. It is used as the theoretical basis for many statistics in spatial analysis and has led to the development of improved statistical models and methods for studying geographic phenomena in a quantitative manner.
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The law is based on the concept of the friction of distance
Waldo Tobler is credited with first presenting the concept of the first law of geography as a formal law. In 1970, he published an article in the journal Economic Geography, introducing the law in the context of a simulation of population growth in Detroit. Tobler's first law of geography, also known as TFL, states that "everything is related to everything else, but near things are more related than distant things".
The friction of distance and the increase in cost as distance grows combine to produce the distance decay effect, where the volume of interaction between two locations decreases as the distance between them increases. This effect is observed in various geographic patterns, such as economic agglomeration and wildlife migration, as well as in spatial analysis techniques. The concept of friction of distance has been incorporated into many geographic theories and applications, including Tobler's first law of geography, network routing, and cost distance analysis.
While Tobler is the first to formalize the concept as a law, the idea itself existed in some form before him. In 1935, R.A. Fisher made a similar observation, noting that "patches in close proximity are commonly more alike, as judged by the yield of crops, than those which are further apart." Additionally, some scholars have pointed out that Tobler's law closely resembles a phrase in a book by R.A. Fisher published in 1935. However, it is generally accepted that Tobler came up with the first law independently.
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The law is the foundation of spatial dependence and spatial autocorrelation
Waldo Tobler is credited with formulating the First Law of Geography, also known as Tobler's First Law, which states that "everything is related to everything else, but near things are more related than distant things." This law was introduced in an article published in the journal Economic Geography in 1970, where Tobler presented a model of population growth in Detroit.
Tobler's First Law is considered the foundation of spatial dependence and spatial autocorrelation. It emphasizes the role of proximity in spatial relationships, suggesting that nearby things are more similar than distant things. This concept is pivotal in geospatial studies, influencing the interpretation, modelling, and visualization of spatial data. By considering spatial proximity, analysts can make predictions and draw inferences about specific locations based on known values in nearby areas.
The law has practical applications in various domains, including environmental monitoring, urban planning, public health, and agriculture. For example, in environmental monitoring, it helps assess pollution levels, while in urban planning, it aids in socioeconomic analysis. In public health, it is used to track disease spread, and in agriculture, it assists in precision farming by predicting soil variations based on nearby samples.
Tobler's First Law also contributed to the development of spatial interpolation methods, such as Kriging, and spatial autocorrelation measures. These techniques ensure that spatial dependencies are considered in statistical analyses, facilitating the identification of patterns and clusters.
While Tobler is credited with formalizing the concept as the First Law of Geography, it is important to note that similar ideas existed before him. For instance, in 1935, R.A. Fisher observed that "patches in close proximity are commonly more alike, as judged by the yield of crops, than those which are further apart."
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Tobler's law was proposed during the quantitative revolution in geography
Waldo Tobler is credited with formulating the first law of geography, which states that "everything is related to everything else, but near things are more related than distant things". Tobler first introduced this concept in 1969 during a meeting of the International Geographical Union's Commission on Qualitative Methods. He later published his work in 1970 in a paper titled "A Computer Movie Simulating Urban Growth in the Detroit Region".
Tobler's law was proposed towards the end of the quantitative revolution in geography. The quantitative revolution in geography was a paradigm shift that sought to develop more rigorous and systematic methodologies for the discipline. It occurred during the 1950s and 1960s and marked a rapid change in the methods behind geographical research, transforming the field from descriptive (idiographic) geography to empirical law-making (nomothetic) geography. This shift towards scientific and systematic methods was conducive to the acceptance of Tobler's law, and it can be seen as a direct product of the quantitative revolution.
The quantitative revolution had enormous implications in shaping the discipline of geography. It led to the spread of positivist thinking and counter-positivist responses, with geographers seeking to develop spatial analysis and technical geography. The revolution also witnessed the greater use of computers in geography, leading to advancements in geomatics, such as the creation and application of geographic information systems (GIS) and remote sensing. These developments empowered geographers to assess complex models on a full-scale basis, encompassing space and time, and the relationships between spatial entities.
The University of Iowa, the University of Wisconsin–Madison, and the University of Washington were at the forefront of these changes, with faculty and graduate students driving the shift towards spatial-quantitative revolution. Graduate students, such as William Bunge, Artur Getis, and Waldo R. Tobler, expanded on this work throughout their careers, with Bunge's book, "Theoretical Geography", described as a seminal text of the spatial-quantitative revolution.
While Tobler is the first to present the concept as the first law of geography, it existed in some form before him. In 1935, R.A. Fisher made a similar observation, noting that "patches in close proximity are commonly more alike, as judged by the yield of crops, than those which are further apart." Tobler appears to have independently formulated his law, and it has since faced criticisms regarding its usefulness and validity. Some have proposed amendments, such as combining Tobler's law with von Thünen's concept of accessibility.
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The usefulness and validity of Tobler's first law have been disputed
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." Tobler's law was proposed towards the end of the quantitative revolution in geography, which saw a shift towards using systematic and scientific methods in geography. The usefulness and validity of Tobler's first law have been disputed, with some critics questioning whether it truly qualifies as a "law."
One criticism of Tobler's law is that it does not hold up in all cases, especially when considering dramatic differences at political borders or physical barriers like rivers. Additionally, the law is explicitly spatial rather than temporal, which may limit its applicability in certain contexts. Despite these criticisms, Tobler's law has been immensely influential and has been cited over 5000 times in academic and research literature.
In defence of Tobler's law, it is argued that it is not intended to be an immutable truth but rather a compact description of patterns and regularities in geography. Furthermore, the law has been useful in the development of better and refined statistical models and methods for studying geographic phenomena quantitatively.
The validity and usefulness of Tobler's first law have also been discussed in academic journals such as the Annals of the Association of American Geographers, with articles specifically addressing the topic, indicating that the debate among geographers is ongoing. Additionally, there have been proposals to replace Tobler's first law of geography with another, suggesting that the law's position may be contested within the discipline.
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Frequently asked questions
Waldo R. Tobler.
Everything is related to everything else, but near things are more related than distant things.
Tobler first presented the idea in 1969 and it was published in 1970.
Tobler was discussing variables in a model of population growth in Detroit.
It is the foundation of the fundamental concepts of spatial dependence and spatial autocorrelation and is considered the theoretical basis of many statistics in spatial analysis.











































