ESTIMATION OF SPATIAL RELATIONSHIPS OF AVERAGE ANNUAL RIVER RUNOFF WITHIN THE RIGHT BANK OF THE PRIPYAT RIVER

Abstract

Assessment of the spatial relationships of any element of river water flow or meteorological indicators of a certain territory is based on the use of the spatial correlation function. The aim of the presented study is to construct such a function for the average annual water flow of the rivers of the right-bank part of the Pripyat basin and to establish the territorial patterns of its interrelations. The initial data were the series of observations of the average annual water discharges on 11 rivers, which turned out to be representative for further calculations. Checking the series of observations for homogeneity was carried out according to the parametric criteria: t -Student’s and F-Fisher’s at the 5% and 1% significance levels. She showed that the rows are uniform. Only a sequence of average annual water discharges on the river Pripyat near the village of Rechitsa turned out to be heterogeneous according to Fisher’s criterion. Based on the calculations, two matrices were obtained – the correlation matrix of the average annual river water flow and the matrix of distances between the centers of attraction of their basins, on the basis of which the spatial correlation function r = f (L) of the average annual river water flow for the territory of Pripyat within Ukraine was constructed. The largest number of joint years of observations in determining the correlation coefficients was 70 years, the smallest – 52. The resulting regression equation of the spatial correlation function was evaluated for accuracy and homogeneity. This test gave positive results. It was found that the pair correlation coefficients decrease with an increase in the distance between the centers of river basins. Significant spatial relationships of the average annual river flow for the territory of Pripyat within Ukraine with correlation coefficients of more than 0.75 are observed at a distance of up to 100 km between them. Satisfactory territorial correlation with a coefficient ranging from 0.60 to 0.75 – at a distance between them up to 100-150 km. The development can be used for practical purposes in hydrological calculations and forecasts, to optimize the hydrological observation network, etc.