Exam 15: Spatial Interpolation
A larger sample size will always produce more accurate estimations using the IDW method.
False
Anisotropy means the absence of directional differences in spatial dependence.
False
Describe in general terms how Thiessen polygons are derived.
Thiessen polygons, also known as Voronoi polygons, are derived by dividing a given area into polygons based on the proximity of a set of points. The process begins by placing a set of points, known as seeds, within the area of interest. These points could represent weather stations, soil sample locations, or any other type of data collection point.
Once the points are placed, Thiessen polygons are created by drawing lines that bisect the space between each pair of adjacent points. These lines form the boundaries of the polygons, with each polygon representing the area that is closest to a specific seed point. This means that every location within a Thiessen polygon is closer to the seed point it corresponds to than to any other seed point.
The resulting Thiessen polygons provide a way to visualize and analyze spatial relationships and patterns within the data. They can be used to identify areas of influence for each seed point, to interpolate values between points, and to analyze the distribution and density of the data points within the study area. Thiessen polygons are a valuable tool in various fields, including geography, meteorology, and environmental science.
A higher-order trend surface model can generally better approximate a more complex surface.
Illustrate the difference between the closest point sampling method and the quadrant sampling method by using a sample size of 12.
A larger band width used in kernel density estimation will result in a smoother surface.
Describe in general terms how cell densities are derived using the kernel density estimation method.
If the sampled points are spatially correlated in kriging, then one would expect a(n) _____ in the semivariance with an increase in the distance between sampled points.
A better spatial interpolation method should have a _____ RMS error.
Binning is a process for creating a usable semivariogram from empirical data. Describe how binning is performed.
A semivariogram must be fitted with a mathematical model before it can be used in kriging. Why?
Both IDW and kriging use weights in estimating an unknown value. Describe the difference between the two interpolation methods in terms of how these weights are derived.
Which of the following is a stochastic interpolation method?
Explain the difference between global and local interpolation methods.
The root-mean-square (RMS) error is commonly used for selecting an optimal interpolation method. What does the RMS error measure in spatial interpolation?
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