Parallel ordinary kriging interpolation incorporating automatic variogram fitting

2011 ◽  
Vol 37 (4) ◽  
pp. 464-473 ◽  
Author(s):  
Lluís Pesquer ◽  
Ana Cortés ◽  
Xavier Pons
Keyword(s):  
Ordinary Kriging ◽  
Kriging Interpolation ◽  
Variogram Fitting

scholarly journals Optimal biased Kriging: Homeogram tapering and applications to geoid undulations in Korea

2018 ◽  
Vol 8 (1) ◽  
pp. 154-161
Author(s):  
B. Schaffrin ◽  
T.-S. Bae ◽  
Y. Felus
Keyword(s):  
Ordinary Kriging ◽  
Sparse Matrices ◽  
Geoid Undulation ◽  
Kriging Interpolation ◽  
System Of Equations ◽  
Spatial Sorting ◽  
Optimal Linear ◽  
Squared Prediction Error ◽  
Kriging Predictor ◽  
Spatial Coherency

Abstract This article studies the Optimal Biased Kriging (OBK) approach which is an alternative geostatistical method that gives up the unbiasedness condition of Ordinary Kriging (OK) to gain an improved Mean Squared Prediction Error (MSPE). The system of equations for the optimal linear biased Kriging predictor is derived and itsMSPE is compared with that of Ordinary Kriging. A major impediment in implementing this system of equations and performing Kriging interpolation with massive datasets is the inversion of the spatial coherency matrix. This problem is investigated and a novel method, called “homeogram tapering”, which exploits spatial sorting techniques to create sparse matrices for efficient matrix inversion, is described. Finally, as an application, results from experiments performed on a geoid undulation dataset from Korea are presented. A precise geoid is usually the indispensable basis for meaningful hydrological studies over wide areas. These experiments use the theory presented here along with a relatively new spatial coherency measure, called the homeogram, also known as the non-centered covariance function.

Taylor Kriging Metamodeling for Stochastic Simulation Interpolation

2013 ◽  
pp. 25-39
Author(s):  
Heping Liu ◽  
Yanli Chen
Keyword(s):  
Stochastic Simulation ◽  
Ordinary Kriging ◽  
Taylor Expansion ◽  
Kriging Model ◽  
Kriging Interpolation ◽  
The Novel ◽  
Key Factors ◽  
Empirical Results ◽  
Simple Kriging ◽  
Kriging Metamodeling

This paper applies a novel Kriging model to the interpolation of stochastic simulation with high computational expense. The novel Kriging model is developed by using Taylor expansion to construct a drift function for Kriging, thus named Taylor Kriging. The interpolation capability of Taylor Kriging for stochastic simulation is empirically compared with those of Simple Kriging and Ordinary Kriging according to two stochastic simulation cases. Results show that the interpolation of Taylor Kriging is more accurate than Simple Kriging and Ordinary Kriging. The authors analyze two key factors in stochastic simulation, simulation replications and variance, which influence the accuracy of Kriging interpolation, and obtain some important empirical results.

scholarly journals INTERPOLASI SPASIAL DENGAN METODE ORDINARY KRIGING MENGGUNAKAN SEMIVARIOGRAM ISOTROPIK PADA DATA SPASIAL (Studi Kasus: Curah Hujan di Kabupaten Karangasem)

2015 ◽  
Vol 4 (1) ◽  
pp. 26
Author(s):  
PUTU MIRAH PURNAMA D. ◽  
KOMANG GDE SUKARSA ◽  
KOMANG DHARMAWAN
Keyword(s):  
Spatial Data ◽  
Ordinary Kriging ◽  
Spatial Interpolation ◽  
Interpolation Method ◽  
Kriging Interpolation ◽  
Control Points ◽  
Kriging Method ◽  
3D Data ◽  
Kriging Interpolation Method ◽  
Relationship Of

Spatial data is data that is presented in the geographic of an object, related to the location, shape and relationship of the earth in space. One of example of spatial data is rainfall. To determine the value of rainfall in an area, built to predict rain post information regarding rainfall. Spatial interpolation is used to estimate rainfall by collecting rainfall values held rain heading around. Assessment methods used in the estimate the rainfall in the Karangasem district is ordinary kriging using isotropic semivariogram that takes into account height on spatial data. Isotropic semivariogram which only takes into account the distance alone. Ordinary kriging method using isotropic semivariogram that takes into account height  value estimated rainfall is much different to the values at the control points Amlapura and Besakih. Interpolation on 3D data are not suitable for use on ordinary kriging method, grouping should be done at the data into a few weeks to application of ordinary kriging interpolation method using anisotropic semivariogram on 3D data.

Research of Critical Precipitation Distribution in Sichuan Province Based on Spatial Interpolation Method

2013 ◽  
Vol 726-731 ◽  
pp. 3469-3474
Author(s):  
Zhao Xian Wang ◽  
Wen Bo Xu ◽  
Shao Cai Jing ◽  
Li Mei Zhou ◽  
Wen Zhi Zhang
Keyword(s):  
Ordinary Kriging ◽  
Spatial Interpolation ◽  
Interpolation Method ◽  
Sichuan Province ◽  
Kriging Interpolation ◽  
Distribution Map ◽  
Rainfall Distribution ◽  
Kriging Interpolation Method ◽  
Critical Rainfall ◽  
Spatial Interpolation Method

Critical rainfall is one of the most important parameters of prediction, forecasting and early warning on mountain torrents disasters with important meanings for preventing mountain torrents disasters. In this paper, the measured rainfall method was taken to calculate the critical rainfall in typical regions based on the rainfall data of typical regional meteorological stations. Then, the Inverse Distance Weighting spatial interpolation method and Ordinary Kriging Interpolation method are taken based on the typical regional critical rainfall to get the critical rainfall distribution map of Sichuan Province. The critical rainfall distribution maps, which obtained from the two kinds of interpolation methods, both have universality and operability. Among them, the critical rainfall distribution map mapped by the Ordinary Kriging Interpolation method was more consistent with the practical situation.

scholarly journals Characterization of monochlorobenzene contamination in soils using geostatistical interpolation and 3D visualization for agrochemical industrial sites in southeast China

2016 ◽  
Vol 42 (3) ◽  
pp. 17-24 ◽  
Author(s):  
Lixia Ren ◽  
Hongwei Lu ◽  
Li He ◽  
Yimei Zhang
Keyword(s):  
Contaminated Soil ◽  
Ordinary Kriging ◽  
3D Visualization ◽  
Kriging Interpolation ◽  
Sampled Data ◽  
High Concentration ◽  
Pollution Levels ◽  
Industrial Sites ◽  
Geostatistical Interpolation

Abstract Persistent organic pollutants (POPs) originating from agrochemical industries have become an urgent environmental problem worldwide. Ordinary kriging, as an optimal geostatistical interpolation technique, has been proved to be sufficiently robust for estimating values with finite sampled data in most of the cases. In this study, ordinary kriging interpolation integrate with 3D visualization methods is applied to characterize the monochlorobenzene contaminated soil for an agrochemical industrial site located in Jiangsu province. Based on 944 soil samples collected by Geoprobe 540MT and monitored by SGS environmental monitoring services, 3D visualization in terms of the spatial distribution of pollutants in potentially contaminated soil, the extent and severity of the pollution levels in different layers, high concentration levels and isolines of monochlorobenzene concentrations in this area are provided. From the obtained results, more information taking into account the spatial heterogeneity of soil area will be helpful for decision makers to develop and implement the soil remediation strategy in the future.

scholarly journals Identifikasi Uranium dan Thorium di Desa Takandeang Mamuju Sulawesi Barat dengan Menginterpretasikan Data Radiometri Tanah atau Batuan

2018 ◽  
Vol 1 (1) ◽  
Author(s):  
Mutia Khairani ◽  
Sutrisno Sutrisno ◽  
Frederikus Dian Indrastomo
Keyword(s):  
Dose Rate ◽  
Ordinary Kriging ◽  
High Dose Rate ◽  
Kriging Interpolation ◽  
High Dose ◽  
Distribution Map ◽  
Probability Curve ◽  
Survey Results ◽  
Curve Method

 Abstrak. Hasil survey dosis radiasi lingkungan menunjukkan di daerah Mamuju memiliki nilai laju dosis radiasi (radioaktivitas) yang cukup tinngi.Nilai radioaktivitas tinggi yang dijumpai pada batuan diperkirakan berasal dari keterdapatan kandungan radioaktif alami seperti unsur uranium (U) dan thorium (Th). Penelitian yang dilakukan bertujuan untuk mendapatkan kesimpulan unsur radioaktif apa yang mempengaruhi nilai laju dosis di daerah tersebut tinggi. Metode penelitian yang diterapkan adalah pengukuran radiometri, penentuan nilai ambang (threshold), menentukan populasi anomali pada unsur radioaktif dari data radiometri dengan menggunakan metode kurva probabilitas, interpolasi kriging dengan metode ordinary kriging dan analisis peta sebaran laju dosis, peta sebaran uranium, dan peta sebaran thorium. geologi daerah penelitian tersusun atas batugamping, batu lava, batuan breksi dan endapan aluvial. Berdasarkan hasil analisis diketahui bahwa nilai laju dosis tinggi mencapai 4.271,3 nSv/h di Desa Takandeang dipengaruhi oleh keterdapatan unsur thorium, dengan kadar 435,7 ppm eTh dan uranium berkadar 426 ppm eU. Abstract. Survey results of environment radiation in Mamuju show that the value of dose rate of radiation (radioactivity) is high enough. That high radioactivity value that is found in rocks is hypothesized to be generated by natural radioactive unsure such as uranium (U) and thorium (Th). The aim of this study is to get conclusion of what radioactive unsure that influences high dose rate in that region. The methods in this study are radiometry measurement, determination of treshold, determination of anomaly population on radioactive unsure from radiometry data using probability curve method, kriging interpolation with ordinary kriging method and analysis of dose rate distribution map, uranium distribution map, and thorium distribution map. The geology of studied region is composed of limestones, lava rocks, breccia rocks, and alluvial sediments. Accroding to the result of analysis, we conclude that the value of high dose rate in Takandeang Village that reaches 4.271,3 nSv/h is influenced by thorium, with level 435,7 ppm eTh and uranium with level 426 ppmeU. 

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