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Quantitative methods in geography refers to a method that applies mathematical methods and computer technology to the study of geography, also known as quantitative geography, and was once called quantitative geography. Geographical quantitative methods originated in the 30s of the 20th century, before the 60s were mainly general mathematical statistics, and developed rapidly since the 60s, developing mathematical models and mathematical simulation techniques of geographic systems, applying computers and multivariate analysis methods.
The main methods and models of the geoquantitative approach include:
Probability distributions. It is applied to the study of urban and population distribution, as well as the distribution of commercial facilities. Among them, the application of normal distribution, binomial distribution and Poisson distribution is more common.
General statistical characteristics.
For example, the mean, variance, coefficient of variation, etc. are used for the analysis of the temporal and spatial differences of various geographical elements, and the specially constructed statistical indices are used in various specialized analysis fields (such as the Lorentz curve and the Gini index are used for the analysis of the degree of specialization, etc.).
A statistical analysis method for spatial types.
According to the characteristics of point, line and area (regional) distribution of geographic features, various statistical feature parameters are designed, such as nearest neighbor index and regional shape index.
Regression analysis. Simple regression analysis, which is applied to the analysis and analysis of the quantitative relationship between two geographical elements; Multiple regression analysis and stepwise regression analysis are used to analyze the relationship between geographic system elements under the influence of two or more factors.
Trend surface analysis.
It is a special application of multiple regression technology, which regards the numerical value of geographic elements as a function of geographic coordinates, and is used for the establishment of mathematical models of the distribution law of geographic elements and the production of various trend maps.
Primary coordinate analysis.
The orthogonal transformation of coordinates is used to classify the geographic features of multi-index measures.
Principal component analysis and factor analysis.
Using the rotation of the multi-dimensional spatial coordinate axis, the principal component load, factor load and score of the geographic elements are calculated, and the correlation between the geographic elements is analyzed, so as to achieve the representation of the simplified system and numerically classify the geographic system.
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Correct answer: The first stage, roughly from the late 50s to the late 60s of the 20th century, was the initial stage of the development of quantitative geography. The second stage, which includes the 10-year search period from the late 60s to the late 70s of the 20th century, belongs to the middle stage.
The third stage, from the late 70s to the late 80s of the 20th century, is the stage when econometric geography moves towards a more mature and perfect stage. In the fourth stage, from the early 90s of the 20th century, quantitative geography in the traditional sense began to develop into computational geography.
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The first stage, roughly from the late 50s to the late 60s of the 20th century, was the initial stage of the development of quantitative geography.
The second stage, which includes a decade from the late 60s to the late 70s of the 20th century, is the middle stage.
The third stage, from the late 70s to the late 80s of the 20th century, is the stage when econometric geography is becoming more mature and perfect.
In the fourth stage, from the early 90s of the 20th century, quantitative geography in the traditional sense began to develop into computational geography.
Features: For example, the mean, variance, coefficient of variation, etc. are used for the analysis of the temporal and spatial differences of various geographical elements, and the specially constructed statistical indices are used in various specialized analysis fields (such as the Lorentz curve and Gini index are used for the analysis of the degree of specialization, etc.).
China University of Geosciences.
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