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Temperature and Precipitation Series in the Tianshan Mountains Calculated Based on DEM

YANG Qing~(1,2),SHI Yu-guang~(1),YUAN Yu-jiang~(1), LI Yang~(1) (1.Institute of Desert Meteorology,China Meteorological Administration,rümqi Xinjiang 830002,China;2.Key Laboratory of Climate Change Research,China Meteorological Administration,Beijing 100081,China.)  
A new interpolating scheme is applied to calculate the time series of temperature and precipitation in the Tianshan Mountains.The data of 17 meteorological stations and 10 hydrological stations in 1961-2000 in the Tianshan Mountains are used.An interpolating model based on DEM(Digital Elevation Model,the spatial resolution is about 1 km×1 km) are formed,respectively,by using empirical orthogonal function(EOF) and polynomial regression.Time series of annual mean temperature and annual precipitation on each grid in the area higher than 1 500 m a.s.l.are calculated by using the interpolating model.According to an error analysis,the correlation coefficient of the annual mean temperature between the average value observed from the 27 stations and the area average value calculated by each grid is 0.996,and the systematic error is small,with an average relative error of 5.5%.For annual precipitation,the average relative error is 14.8%,which is higher than that of the temperature,the correlation coefficient of annual precipitation series is 0.972.There is different between the value calculated from the time series and the observed mean value from the 27 stations.As compared with the observed mean value,the calculated annual mean temperature is 4.3 ℃ lower and the calculated annual precipitation is 43.2 mm higher.This method is useable to obtain an area mean climate time series in mountain area with complicated terrain and less observation stations.
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