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Resumo(s)
This study explores and analyses the impact of sample density on the performances
of the spatial interpolation techniques. It evaluates the performances of two
alternative deterministic techniques – Thin Plate Spline and Inverse Distance
Weighting, and two alternative stochastic techniques – Ordinary Kriging and
Universal Kriging; to interpolate two climate indices - Annual Total Precipitation in
Wet Days and the Yearly Maximum Value of the Daily Maximum Temperature, in
a low sample density region - Bangladesh, for 60 years – 1948 to 2007. It implies
the approach of Spatially Shifted Years to create mean variograms with respect to
the low sample density. Seven different performance measurements - Mean
Absolute Error, Root Mean Square Errors, Systematic Root Mean Square Errors,
Unsystematic Root Mean Square Errors, Index of Agreement, Coefficient of
Variation of Prediction and Confidence of Prediction, have been applied to evaluate
the performance of the spatial interpolation techniques. The resulted performance
measurements indicate that for most of the years the Universal Kriging method
performs better to interpolate total precipitation, and the Ordinary Kriging method
performs better to interpolate the maximum temperature. Though the difference
surfaces indicate a very little difference in the estimating ability of the four spatial
interpolation techniques, the residual plots refer to the differences in the
interpolated surfaces by different techniques in terms of their over and under
estimation. The results also indicate that the Inverse Distance Weighting method
performs better for both indices, when the sample density is too low, but the
performance is questioned by the inclusion of measurement errors in the interpolated surfaces. All the error measurements show a decreasing trend with the
increasing sample density, and the index of agreement and confidence of prediction
show an increasing trend over years. Finally, the strong correlation between the
Sample Coefficient of Variation and the performance measurements, implies that
the more representative the samples are of the climate phenomenon, the more
improved are the performances of the spatial interpolation techniques. The
correlation between the sample coefficient of variation and the number of samples
implies that the high representativity of the sample is attainable with an increased
sample density.
Descrição
Dissertation submitted in partial fulfillment of the requirements for the Degree of Master of Science in Geospatial Technologies.
Palavras-chave
Spatial Interpolation Low Sample Density Climate Change Index Performance Evaluation
