Understanding spatial inertia: center of gravity, population densities, the Weber problem, and gravity potential

Article Abstract:

The mathematical relationship between the 'center of gravity,' 'point of maximum population density,' 'minimum of the comprehensive Weber problem' and 'maximum comprehensive gravity potential' concepts was explored to further shed light on the spatial inertia problem. Results revealed that the center of gravity coincides with the comprehensive Weberian optimum, which in turn coincides with the point of gravity potential. A coincidence between the point of maximum population density and the concepts of comprehensive Weberian optimum and point of maximum gravity potential was also established.

Metropolitan areas, Population, Residential mobility

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Further understanding spatial inertia: a reply to Plastria and Rosing

Article Abstract:

The criticisms leveled by Plastria and Rosing on the work of Tellier and Vertefeuille failed to take into account that the use of the center of gravity and the Euclidian Minisun Distance Problem in the analysis of the movement the Canado-American population's center of gravity was meant as a partial explanation of the phenomenon. As to the movement of the center of gravity and the Weber points, all computed points of maximum gravity potential coincide with attraction points.

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Understanding spatial inertia: a comment on Tellier and Vetefeuille

Article Abstract:

Criticisms on the treatment made by Tellier and Vertefeuille on the Euclidean Minisun Distance Problem include their conclusion regarding the Weberian location function, wherein both researchers stated that the Weberian optima moves in conjunction with the movement of the center of gravity. Both researchers also failed to note that the movement of the center of gravity towards infinity would also lead to a movement of the Weber point towards infinity, only at a lesser rate.

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