Within a studywatershed there are six precipitation gauges with the followingaverage annual rainfall [mm] at the following elevations [m]:
GaugeElevations =[442, 548, 736, 770, 852, 1031]
GaugePrecipitation= [1392, 1246, 1495, 1698, 1717, 1752]
Topographic analysisof this watershed gives the following distribution of its area withelevation:
AreaElevations =[200, 400, 600, 800, 1000, 1200, 1400, 1600]
AreaFraction =[0.0, 0.028, 0.159, 0.341, 0.271, 0.151, 0.042, 0.008]
Where theAreaElevations are the upper end of that area's elevationrange. For example, 2.8%, of the basins area has an averageelevation of 300m (i.e. between 200m and 400m). Given thisinformation, estimate the average annual precipitation that thiswatershed receives.
