ISSN 2070-7401 (Print), ISSN 2411-0280 (Online)
Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa


Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2023, Vol. 20, No. 2, pp. 125-134

Ordinal and scale statistics of valleys found by digital terrain model

A.A. Zlatopolsky 1 , E.A. Shekman 2 
1 Space Research Institute RAS, Moscow, Russia
2 Pacific Geographical Institute FEB RAS, Vladivostok, Russia
Accepted: 10.03.2023
DOI: 10.21046/2070-7401-2023-20-2-125-134
The development of GIS technologies and the emergence of widely available spatial geodata have created new opportunities for the analysis of river system models (M-networks consisting of M-valleys). The article presents the results of the development and testing of a new approach to the analysis of M-networks, in which they are divided into parts with a certain catchment area, M-bands. Experiments on a large area of the Amur basin have shown that M-bands obey the same Horton laws as M-valleys of the same order. It turned out that when an adequate interval of values of the catchment area is specified, the M-range consists mainly of the same fragments of the M-network as the M-valleys of the corresponding order and has similar statistical characteristics: density, number and average length of valleys, their local average orientation. It is shown how partitioning into M-bands can replace partitioning into orders, for example, when determining the average local orientation of valleys. Moreover, in contrast to ordinal M-valleys, one can directly set the M-ranges of the required scale and interval without choosing the algorithm for determining the order, the threshold for the catchment area of the first order, and the order number. It seems that the M-range can be useful in constructing reference surfaces, as well as in searching for a direct relationship between the scale (catchment area) and the age of the valleys. An example of such a comparison for the considered territory is given. A modification of Horton’s law for the density of M-valleys is presented for the case when the interval of the catchment area of the M-range differs significantly from the ordinal one. For most of the given measurements, a raster with the values of the catchment area was sufficient, and it was not required to build a description of the M-network in the form of a graph.
Keywords: DTM, valley network calculation, valley order, statistical characteristics of valleys, Horton ratios, scale factor
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