Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2026, V. 23, No. 4, pp. 171-181
Formal description of the runoff profile based on statistical analysis of the digital terrain model. Part tow. The Fall Matrix
1 Space Research Institute RAS, Moscow, Russia
Accepted: 29.05.2026
DOI: 10.21046/2070-7401-2026-23-4-171-181
This article continues the search of the average streamflow profile formal description. We use statistical analysis of runoff lines obtained by runoff modeling using a digital elevation model. A new tool for the relief studying is proposed: a fall matrix, which reflects the relationship between fall magnitude and distance to the source and the source's elevation above sea level. A detailed, illustrated example of this matrix for a large region of the Far East is provided. An assessment of the spread of data within a single matrix cell is provided. The fall matrix is compared with the fall formula presented in the previous article. An algorithm for finding parameters for this formula that provide good agreement with most of the matrix is developed and described. We verified that there is no systematic accumulation of error with the length of the runoff lines. Similar studies were conducted for two additional territories and for a matrix summarizing data for three territories. To the extent possible, the formulas obtained for the different territories were combined. The necessity of taking into account the height of the source and the power-law nature of the dependence on it is confirmed.
Keywords: DTM, runoff model, runoff line profile, fall of the runoff line, longitudinal slope, runoff line length, source height, statistical dependence
Full textReferences:
- Zlatopolsky A. A., Multi-scale statistical analysis of hydrological characteristics of the relief (based on runoff model rasters), Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2025, V. 22, No. 4, pp. 164–172 (in Russian), DOI: 10.21046/2070-7401-2026-23-1-164-172.
- Zlatopolsky A. A., Statistical relationship of local longitudinal slope of watercourse with other local characteristics (slope matrix), Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2026, V. 23, No. 1, pp. 140–149 (in Russian), DOI: 10.21046/2070-7401-2026-23-1-140-149.
- Chernova I.Yu., Nugmanov I. I., Dautov A. N., Application of GIS analytic functions for improvement and development of the structural morphological methods of the neotectonics studies, Geoinformatica, 2010, No. 4, pp. 9–23 (in Russian).