Evaluation of monitoring network density using discrete entropy theory

Abstract

The regional evaluation of monitoring stations for water resources can be of great importance due to its role in finding appropriate locations for stations, the maximum gathering of useful information and preventing the accumulation of unnecessary information and ultimately reducing the cost of data collection. Based on the theory of discrete entropy, this study analyzes the density of rain gage stations in Zohreh Basin located in Fars Province, Iran. Considering the marginal entropy index H(x), joint entropy H(x, y), information send index S(i) and received index R(i) of each station and information transfer index (ITI) between stations, important stations and weak areas of information transfer have been determined in the monitoring network of the basin and spatial interpolation has been calculated. The results showed that the density of the rain gage monitoring network is acceptable. The calculated values for the indexes of R(i) and S(i) are completely parallel and each station receives almost the same amount of data that it sends to other stations. Finally, two new indexes of NH (x) and NH (xˆ(i)) produce equivalent results with R(i) and S(i) indexes. The obtained results showed that 3 stations Noorabad, Baraghan and Ghoshneghan are in the crisis condition and had been and replace it there. also due to the nature of the statistical method, removing of mention station without cheking hydrological conditions and how of hydrograph combination is recommended.