high point

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Summary statistics of minimum, maximum, mean, and standard deviation gave us a general picture of how close the high points extracted from the DEM were to the GNIS summits, while a map identified the problem regions where distance to the nearest neighbor in the other data set was higher.
Using 8 x 8 mile (13 x 13 km) quadrats, GNIS summits and high points extracted from the DEM are similarly clustered: the coefficient of variation was 1.
It is therefore possible for GNIS to have a denser cluster of high points, which the 2-mile (3.
To further examine the difference between the two sets of high points, the difference analysis subtracted the number of DEM high points per 8-mile (13-km) quadrat from the number of GNIS high points.
Calculating the distance to the closest neighbor was used to assess how close the points extracted from the DEM were to the high points from the GNIS (Table 1).
Minor differences between the locations of high points can be easily explained as a result of two factors.
We can explain the more significant inconsistencies between the locations of high points in the GNIS and those extracted from the 1:250,000 DEM with reference to a geomorphic map of Arizona (Figure 10).
The minimum vertical gain in Step 1 also plays a role in explaining the nearly complete absence of high points extracted from the area of eastern Arizona that lies north of the White Mountains and the Mogollon Rim.
A third area with noticeable differences between the two sets of high points is southern Arizona, a region known for its basin-and-range topography.
This study has shown that an extraction algorithm applied to USGS 1:250,000 DEM data can approximate a similar number and pattern of high points as the summits listed in the USGS Geographic Names Information System.
Additional discrepancies between the two sets of high points are due to the fact that what society considers a high point worth naming is culturally determined and relative to the physiography of the region in question.
Such an approach might lower the minimum vertical gain for northeastern Arizona, which has less relief than other areas and, thus, might identify more high points.

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