Learning Outcomes
The aim of the course is to introduce students to the basic principles of spatial analysis and geostatistics. Random fields (definition, properties), Basic spatial dependence functions (autocovariance, crosscovariance, autocorrelation, variogram), Concepts of stationarity, ergodicity and anisotropy, Dependent random variables, Multidimensional trend models, Introduction to simulation, Estimation of variogram from scattered spatial data, Spatial estimation with deterministic methods (Voronoi polygons, nearest and natural neighbor, inverse distance weights, minimum curvature), Spatial interpolation (optimal estimation) with stochastic methods (kriging), Uncertainty analysis, Practical applications in the science of Agronomy and Surveying.
Upon successful completion of the course, the student will be able to:
• Recognize at a satisfactory level concepts of the theory of random fields
• Analyze the concept of spatial continuity and related functions
• Develop the concept of spatial interpolation and its implementation methods
• Evaluate the basic stages of geostatistical analysis
• Use computational tools of geostatistical analysis with ease
• Estimate and evaluate basic spatial variables and parameters with geostatistical methods
Course Content (Syllabus)
The course includes: Basic principles of spatial analysis and geostatistics. Random fields (definition, properties). Basic spatial dependence functions (autocovariance, heterocovariance, autocorrelation, variogram). Concepts of stationarity, ergodicity and anisotropy. Dependent random variables. Multidimensional trend models. Introduction to simulation. Estimation of variogram from scattered spatial data. Spatial estimation with deterministic methods (Voronoi polygons, nearest and natural neighbor, inverse distance weights, minimum curvature). Spatial interpolation (optimal estimation) with stochastic methods (kriging). Uncertainty analysis. Practical applications in the science of Agricultural and Surveying Engineering.
Keywords
geostatistics, Kriging, stationarity, ergodicity, variogram, random fields, dispersion, variance, covariance
Course Bibliography (Eudoxus)
Καπαγερίδης, Ι.Κ. «Εφαρμοσμένη Γεωστατιστική». Μαρία Παρίκου και Σια Ε.Π.Ε., 2006, σελ. 240. ISBN: 9789604115518, [Κωδικός Βιβλίου στον Εύδοξο: 122079976]
Μόδης, Κ., Βαλάκας, Γ. και Σιδέρη, Δ. «Γεωστατιστική και Υπολογισμός Μεταλλευτικών Αποθεμάτων», ΚΑΛΛΙΠΟΣ Ανοικτές Ακαδημαϊκές Εκδόσεις, 2023, σελ. 330. ISBN 9786185726775, [Κωδικός Βιβλίου στον Εύδοξο: 121051719]
Additional bibliography for study
1) Σημειώσεις διδασκόντων
2) Journel, A. G. Huijbregts, C. Mining geostatistics Academic Press 1978 0123910501
3) Kitanidis, P. K. (1997), Introduction to geostatistics, Cambridge University Press, Cambridge.
4) Christakos, G. (2000), Modern Spatiotemporal Geostatistics, Oxford University Press, New York.Τερζίδης, Γ., Καραμούζης, Δ., «Υδραυλική Υπόγειων Νερών», Ζήτη, 2001, ISBN: 960-431-653-2, Κωδικός Βιβλίου στον Εύδοξο: 11389