KRIGRADI: A cokriging program for estimating the gradient of spatial variables from sparse data

Computers and Geosciences

Volumn 33, Issue 4, 2007, Pages 497-512

  Pardo Igúzquiza, Eulogio ^a   Chica Olmo, Mario ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

Directional derivative; Estimated vector field; Geostatistics; Hydraulic gradient; Linear systems theory; Semi variogram; Trend

Indexed keywords

COVARIANCE MATRIX; ESTIMATION; LINEAR SYSTEMS; VECTORS;

DIRECTIONAL DERIVATIVE; ESTIMATED VECTOR FIELD; GRADIENT MEASUREMENT; LINEAR SYSTEMS THEORY;

SPATIAL VARIABLES MEASUREMENT;

COVARIANCE MATRIX; ESTIMATION; LINEAR SYSTEMS; SPATIAL VARIABLES MEASUREMENT; VECTORS;

GEOSTATISTICS; GRADIENT ANALYSIS; HYDRAULICS; KRIGING; TREND ANALYSIS; VARIOGRAM; VECTOR;

EID: 33947179386     PISSN: 00983004     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cageo.2006.08.004     Document Type: Article

References (19)

1. Bradley G.L., and Smith K.L. Calculus (1989), Prentice-Hall, Englewood Cliffs 1239p
2. Brochu Y., and Marcotte D. A simple approach to account for radial flow and boundary conditions when kriging hydraulic head fields for conditioned aquifers. Mathematical Geology 35 2 (2003) 111-139
3. Chilès J.-P., and Delfiner P. Geostatistics: Modelling Spatial Uncertainty (1999), Wiley, New York 695pp
4. Cressie N. Statistics for Spatial Data. revised ed (1993), Wiley, New York 900pp
5. Goovaerts P. Geostatistics for Natural Resources Evaluation (1997), Oxford University Press, New York 483pp
6. Gribov A., and Krivoruchko K. Geostatistical mapping with continuous moving neighborhood. Mathematical Geology 36 2 (2004) 267-281
7. Hoeksema R.J., Clapp R.B., Thomas A.L., Hunley A.E., Farrow N.D., and Dearstone K.C. Cokriging model for estimation of water table elevation. Water Resources Research 25 3 (1989) 429-438
8. Iaaks E.H., and Srisvastava R.M. An Introduction to Applied Geostatistics (1989), Oxford University Press, Oxford 365pp
9. Journel A.G., and Huijbregts Ch.J. Mining Geostatistics (1978), Academic Press, New York 600pp
10. Meyer T.H. The discontinuous nature of kriging interpolation for digital terrain modelling. Cartography and Geographic Information Science 31 4 (2004) 209-216
11. Meyer T.H., Eriksson M., and Maggio R.C. Gradient estimation from irregularly spaced data sets. Mathematical Geology 33 6 (2001) 693-717
12. Papoulis A. Probability, Random Variables and Stochastic Processes, International Editions. second ed (1984), McGraw-Hill, New York, NY 576pp
13. Pardo-Igúzquiza E., and Chica-Olmo M. Estimation of gradients from sparse data by universal kriging. Water Resources Research 40 (2004) 1-17 W12418
14. Parzen E. Stochastic Processes (1972), Holden-Day Inc., San Francisco (Spanish edition, Editorial Parainfo, Madrid), 370pp
15. Philip R.D., and Kitanidis P.K. Geostatistical estimation of hydraulic head gradients. Ground Water 27 6 (1989) 855-865
16. Press H.W., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical Recipes in Fortran. second ed (1992), Cambridge University Press, New York 963pp
17. Rajaram H., and McLaughlim D. Identification of large-scale spatial trends in hydrologic data. Water Resources Research 26 10 (1990) 2411-2423
18. Saito H., and Goovaerts P. Accounting for source location and transport direction into geostatistical prediction of contaminants. Environmental Science and Technology 35 (2001) 4823-4829
19. Schrage S.R. A more portable Fortran random number generator: ACM (Association for Computing Machinery). Transactions on Mathematical Software 5 2 (1979) 132-138