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Digital Climatic Atlas of Texas - Texas Water Development Board

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interpolation <strong>of</strong> the missing value at the target station. Although this limits the number <strong>of</strong><br />

target stations that can be used, it is necessary to maintain the integrity <strong>of</strong> the<br />

interpolation. While no interpolation can recover the data that does not exist, research<br />

shows that using less than ten years <strong>of</strong>ten produces erroneous interpolations (Figure 5).<br />

From Figure 5, for all climatic parameters using less than 10 years <strong>of</strong> training data<br />

increased the mean absolute error <strong>of</strong> interpolation, however increasing it beyond 10 years<br />

did not considerably reduce the error. Further, the test runs also showed that limiting the<br />

search for stations with four highest monthly weights from among the 20 closest<br />

benchmark station to the target station did not increase the interpolation error<br />

considerably (Figure 6).<br />

Another important finding from this test run is that lower standard errors were<br />

obtained by using more than one month to create the monthly weights. For example,<br />

using both September and October data as opposed to using only the October data to<br />

calculate the October monthly weights produced a more accurate result (lower standard<br />

error). Table 2 shows the combinations <strong>of</strong> months that produced the lowest standard<br />

error, based on tests using one, two, and three months <strong>of</strong> data. Separate evaluations were<br />

made for East and West <strong>Texas</strong> to calculate the monthly weights for precipitation and<br />

temperature. Only for May and August in West <strong>Texas</strong> is a single month <strong>of</strong> data optimal<br />

for calculating the monthly weight.<br />

12

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