Within a study watershed there are six precipitation gauges with the following average annual rainfall [mm]...

Within a study watershed there are six precipitation gauges with the following average annual rainfall [mm] at the following elevations [m]:

GaugeElevations = [442, 548, 736, 770, 852, 1031]

GaugePrecipitation = [1392, 1246, 1495, 1698, 1717, 1752]

Topographic analysis of this watershed gives the following distribution of its area with elevation:

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 the AreaElevations are the upper end of that area's elevation range. For example, 2.8%, of the basins area has an average elevation of 300m (i.e. between 200m and 400m). Given this information, estimate the average annual precipitation that this watershed receives.

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Ally Wells answered 4 months ago

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