Abstract
Measurement error may be a large component of the total variation encountered in environmental variables. Therefore, for environmental analyses measurement error in sample data should be acknowledged and quantified. Further, it is important to understand how the variogram is affected by different kinds of measurement error. In this paper, a survey of field-based reflectance was undertaken in such a way as to allow the estimation of both the sample variogram γ z (h) and the component of the variogram due to measurement error γ e (h). The underlying variogram γ u (h) of true values u(x) was represented with a simple function. Then sequential Gaussian simulation was undertaken to introduce, via a locational error (δy), a measurement error e s (x) into the underlying true values u s (x) to give a set of ‘observed’ values z s (x). The results demonstrated the effects of locational error on the sample variogram γ zs (h), and in particular a negative cross-correlation between the underlying values and measurement error that results from a locational error. In addition, it is shown that the component of the sample variogram of reflectance due to measurement error γ e (h) could not be explained solely by a locational error δy.
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References
Atkinson, P.M., R. Dunn, and A.R. Harrison, 1996, Measurement error in reflectance data and its implications for regularizing the variogram, International Journal of Remote Sensing (in press).
Chilès, J.P., 1976, How to adapt kriging to non-classical problems: three case studies. In Advanced Geostatistics in the Mining Industry, edited by M. Guarascio, M. David, and C.J. Huijbregts ( Dordrecht: Reidel ), p. 69–90.
David, M., 1977, Geostatistical Ore Reserve Estimation ( Dordrecht: Elsevier).
Davis, F.W., Quottrochi, D.A., Ridd, M.K., Lam, N. S-M., Walsh, Si.,. Michaelson, J.C., Franklin, J., Stow, D.A., Johannsen, C.J., and Johnston, C.A., 1991, Environmental analysis using integrated GIS and remotely sensed data: some research needs and priorities. Photogrammetric Engineering and Remote Sensing, 57, 689–697.
Deutsch, C.V., and Journel, A.G., 1992, Geostatistical Software Library User’s Guide ( Oxford: Oxford University Press).
Dungan, J.L., Peterson, D.L., and Curran, P.I., 1994, Alternative approaches for mapping vegetation quantities using ground and image data. In Environmental Information Management and Analysis: Ecosystem to Global Scales, edited by W. Michener, S. Stafford and J. Brunt ( London: Taylor and Francis ), p. 237–261.
Goodchild, M., and Gopal, S., (Eds.), 1989, Accuracy of Spatial Databases ( London: Taylor and Francis ).
Isaaks, E.H., and Srivastava, R.M., 1989, Applied Geostatistics ( Oxford: Oxford University Press).
Journel, A.G., and Huijbregts, C.J., 1978, Mining Geostatistics ( London: Academic Press).
De Kwaadsteniet, J.W., 1990, On some fundamental weak spots of kriging technique and their consequences. Journal of Hydrology, 114, 277–284.
Lunetta, R.S., Congalton, R.G., Fenstermaker, L.K., Jensen, J.R., McGwire, K.C., and Tinney, L.R., 1991, Remote sensing and geographic information system data integration: error sources and research issues. Photogrammetric Engineering.and Remote Sensing, 57, 677–687.
Milton, E.J., 1980, A portable multiband radiometer for ground data collection in remote sensing. International Journal of Remote Sensing, 1, 153–165.
Milton, E.1., 1987, Principles of field spectroscopy. International Journal of Remote Sensing, 8, 1807–1827.
Rossi, R.E., Mulla, D.J., Journel, A.G., and Franz, E.H., 1992, Geostatistical tools for modeling and interpreting ecological spatial dependence. Ecological Monographs, 62, 277–314.
Rossi, R.E., Dungan, J.L., and Beck, L., 1994, Kriging in the shadows: geostatistical interpolation for remote sensing. Remote Sensing of Environment, 49, 32–40.
Webster, R., and Oliver, M.A., 1990, Statistical Methods for Soil and Land Resources Survey ( Oxford: Oxford University Press).
Yakowitz, Si and Szidarovszky, F., 1985, A comparison of kriging with nonparametric regression methods. Journal of Multivariate Analysis, 16, 21–53.
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© 1997 Springer Science+Business Media Dordrecht
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Atkinson, P.M. (1997). Simulating Locational Error in Field-Based Measurements of Reflectance. In: Soares, A., Gómez-Hernandez, J., Froidevaux, R. (eds) geoENV I — Geostatistics for Environmental Applications. Quantitative Geology and Geostatistics, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1675-8_25
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DOI: https://doi.org/10.1007/978-94-017-1675-8_25
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4861-5
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