A stochastic model of water-table elevation |
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| Authors: | J Mohapl |
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| Institution: | (1) Department of Statistics and Actuarial Science, University of Waterloo, Waterloo N2L 3G1, Ontario, Canada, e-mail: jmmohapl@jeeves.uwaterloo.ca., CA |
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| Abstract: | A second order stochastic differential equation is used for modeling of water-table elevation. The data were sampled at the
Borden Aquifer as a part of a tracer experiment. The purpose of the water-table data collection was to determine presence
of a water flow. We argue that the water-table surface is a simple plane oscillating up and down in time according to an equation
for a stochastic oscillator. We derive the model, estimate its parameters and provide arguments for goodness-of-fit of the
model. |
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| Keywords: | : Stochastic differential equation spatial data irregularly sampled data parameter estimation |
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