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


Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2021, Vol. 18, No. 5, pp. 97-107

Ordinal statistics of valleys: length, width, direction (applied to Bureya Ridge)

A.A. Zlatopolsky 1 , D.A. Simonov 2 , V.S. Zakharov 2 
1 Space Research Institute RAS, Moscow, Russia
2 Lomonosov Moscow State University, Moscow, Russia
Accepted: 13.10.2021
DOI: 10.21046/2070-7401-2021-18-5-97-107
Via comparing digital terrain model (DTM) with local valley models (LESSA methodology, Lineament Extraction and Stripe Statistical Analysis) the valley axes (stripes) are detected. These stripes are found in the sequence of data for one territory but with different resolution and are compared with the axes of the first orders valleys, detected in the original DTM by standard GIS tools. The following regularities were found in the Bureya Ridge region with a well-defined relief. 1. The width of the valleys (the local distance between the ridges bounding the valley) of the same order is mostly similar and in most valleys varies at most by a factor of two. 2. The average width of the valleys of two consecutive orders differs most by a factor of two. This conclusion is based both on the comparison of the valleys axes detected in the GIS with stripes of different scales, and on the similarity of the elongation lines drawings (local average direction) of the stripes with the elongation lines of the axes of the corresponding order GIS valleys. 3. As the order increases, the number of valleys becomes about four times smaller, their average length becomes twice bigger, and their total length becomes two times shorter. These regularities are fulfilled at least for the valleys of the first 4 orders and are close in meaning to the Horton relations, with the difference that we consider not a separate river system, but a region, and not existing flows, but the axes of the valleys. 4. The special scales of DTM analysis found earlier, at which the average direction of the stripes changes abruptly, now could be associated with valleys of certain orders. This means that the change in the valleys direction may be due to the fact that at the time when the valleys of these orders were laid, there was a significant restructuring of the region structural plan, which caused a change in the orientation of the structural elements of the relief.
Keywords: DTM, valley axis, valley order, Horton ratios, average direction of valleys axis
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