caa a22 4500 467928053 CHVBK 20180406152935.0 cr unu---uuuuu 170328e20061001xx s 000 0 eng 10.1007/s10109-006-0036-7 doi (NATIONALLICENCE)springer-10.1007/s10109-006-0036-7 Area-to-point Kriging with inequality-type data [Elektronische Daten] [E.-H. Yoo, P. Kyriakidis] In practical applications of area-to-point spatial interpolation, inequality constraints, such as non-negativity or more general constraints on the maximum and/or minimum attribute value, should be taken into account. The geostatistical framework proposed in this paper deals with the spatial interpolation problem of downscaling areal data under such constraints, while: (1) explicitly accounting for support differences between sample data and unknown values, (2) guaranteeing coherent (mass-preserving) predictions, and (3) providing a measure of reliability (uncertainty) for the resulting predictions. The formal equivalence between Kriging and spline interpolation allows solving constrained area-to-point interpolation problems via quadratic programming (QP) algorithms, after accounting for the support differences between various constraints involved in the problem formulation. In addition, if inequality constraints are enforced on the entire set of points discretizing the study domain, the numerical algorithms for QP problems are applied only to selected locations where the corresponding predictions violate such constraints. The application of the proposed method of area-to-point spatial interpolation with inequality constraints in one and two dimension is demonstrated using realistically simulated data. Springer-Verlag, 2006 Spline interpolation nationallicence Quadratic programming nationallicence Coherence nationallicence Downscaling nationallicence Yoo E.-H Department of Geography, University of California Santa Barbara, Ellison Hall 5831, 93106-4060, Santa Barbara, CA, USA aut Kyriakidis P. Department of Geography, University of California Santa Barbara, Ellison Hall 5831, 93106-4060, Santa Barbara, CA, USA aut Journal of Geographical Systems Springer-Verlag 8/4(2006-10-01), 357-390 1435-5930 8:4<357 2006 8 10109 https://doi.org/10.1007/s10109-006-0036-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10109-006-0036-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Yoo E.-H Department of Geography, University of California Santa Barbara, Ellison Hall 5831, 93106-4060, Santa Barbara, CA, USA aut NATIONALLICENCE 700 1- Kyriakidis P. Department of Geography, University of California Santa Barbara, Ellison Hall 5831, 93106-4060, Santa Barbara, CA, USA aut NATIONALLICENCE 773 0- Journal of Geographical Systems Springer-Verlag 8/4(2006-10-01), 357-390 1435-5930 8:4<357 2006 8 10109 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer