Pub Date : 2023-10-12DOI: 10.1007/s11004-023-10104-7
Peter A. Dowd, Eulogio Pardo-Igúzquiza
Abstract In this expository review paper, we show that co-kriging, a widely used geostatistical multivariate optimal linear estimator, has a diverse range of extensions that we have collected and illustrated to show the potential of this spatial interpolator. In the context of spatial stochastic processes, this paper covers scenarios including increasing the spatial resolution of a spatial variable (downscaling), solving inverse problems, estimating directional derivatives, and spatial interpolation taking boundary conditions into account. All these spatial interpolators are optimal linear estimators in the sense of being unbiased and minimising the variance of the estimation error.
{"title":"The Many Forms of Co-kriging: A Diversity of Multivariate Spatial Estimators","authors":"Peter A. Dowd, Eulogio Pardo-Igúzquiza","doi":"10.1007/s11004-023-10104-7","DOIUrl":"https://doi.org/10.1007/s11004-023-10104-7","url":null,"abstract":"Abstract In this expository review paper, we show that co-kriging, a widely used geostatistical multivariate optimal linear estimator, has a diverse range of extensions that we have collected and illustrated to show the potential of this spatial interpolator. In the context of spatial stochastic processes, this paper covers scenarios including increasing the spatial resolution of a spatial variable (downscaling), solving inverse problems, estimating directional derivatives, and spatial interpolation taking boundary conditions into account. All these spatial interpolators are optimal linear estimators in the sense of being unbiased and minimising the variance of the estimation error.","PeriodicalId":51117,"journal":{"name":"Mathematical Geosciences","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136013532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Reducing the Effect of Incorrect Lithology Labels on the Training of Deep Neural Networks for Lithology Identification","authors":"Xiaoyue Feng, Hongmei Luo, Changjiang Wang, Hanming Gu","doi":"10.1007/s11004-023-10094-6","DOIUrl":"https://doi.org/10.1007/s11004-023-10094-6","url":null,"abstract":"","PeriodicalId":51117,"journal":{"name":"Mathematical Geosciences","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135959878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-19DOI: 10.1007/s11004-023-10100-x
Mirko Anello, Marco Bittelli, Massimiliano Bordoni, Fabrizio Laurini, Claudia Meisina, Marco Riani, Roberto Valentino
Abstract The research presented in this paper aims at providing a statistical model that is capable of estimating soil water content based on weather data. The model was tested using a long-time series of field experimental data from continuous monitoring at a test site in Oltrepò Pavese (northern Italy). An innovative statistical function was developed in order to predict the evolution of soil–water content from precipitation and air temperature. The data were analysed in a framework of robust statistics by using a combination of robust parametric and non-parametric models. Specifically, a statistical model, which includes the typical seasonal trend of field data, has been set up. The proposed model showed that relevant features present in the field of experimental data can be obtained and correctly described for predictive purposes.
{"title":"Robust Statistical Processing of Long-Time Data Series to Estimate Soil Water Content","authors":"Mirko Anello, Marco Bittelli, Massimiliano Bordoni, Fabrizio Laurini, Claudia Meisina, Marco Riani, Roberto Valentino","doi":"10.1007/s11004-023-10100-x","DOIUrl":"https://doi.org/10.1007/s11004-023-10100-x","url":null,"abstract":"Abstract The research presented in this paper aims at providing a statistical model that is capable of estimating soil water content based on weather data. The model was tested using a long-time series of field experimental data from continuous monitoring at a test site in Oltrepò Pavese (northern Italy). An innovative statistical function was developed in order to predict the evolution of soil–water content from precipitation and air temperature. The data were analysed in a framework of robust statistics by using a combination of robust parametric and non-parametric models. Specifically, a statistical model, which includes the typical seasonal trend of field data, has been set up. The proposed model showed that relevant features present in the field of experimental data can be obtained and correctly described for predictive purposes.","PeriodicalId":51117,"journal":{"name":"Mathematical Geosciences","volume":"183 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135060660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-13DOI: 10.1007/s11004-023-10098-2
Koji Fukuma
{"title":"Quaternions for Rotations in Paleomagnetism","authors":"Koji Fukuma","doi":"10.1007/s11004-023-10098-2","DOIUrl":"https://doi.org/10.1007/s11004-023-10098-2","url":null,"abstract":"","PeriodicalId":51117,"journal":{"name":"Mathematical Geosciences","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135735411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-11DOI: 10.1007/s11004-023-10099-1
Nanjun Liu, Longxia Qian, Denghua Yan, Wei Hu, Mei Hong
{"title":"A Nonlinear Dynamical Model for Monthly Runoff Forecasting in Situations of Small Samples","authors":"Nanjun Liu, Longxia Qian, Denghua Yan, Wei Hu, Mei Hong","doi":"10.1007/s11004-023-10099-1","DOIUrl":"https://doi.org/10.1007/s11004-023-10099-1","url":null,"abstract":"","PeriodicalId":51117,"journal":{"name":"Mathematical Geosciences","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135980544","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-06DOI: 10.1007/s11004-023-10095-5
A. Chlingaryan, Raymond Leung, A. Melkumyan
{"title":"Augmenting Stationary Covariance Functions with a Smoothness Hyperparameter and Improving Gaussian Process Regression Using a Structural Similarity Index","authors":"A. Chlingaryan, Raymond Leung, A. Melkumyan","doi":"10.1007/s11004-023-10095-5","DOIUrl":"https://doi.org/10.1007/s11004-023-10095-5","url":null,"abstract":"","PeriodicalId":51117,"journal":{"name":"Mathematical Geosciences","volume":"594 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85341449","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-01DOI: 10.1007/s11004-023-10088-4
Rayan Kanfar, T. Mukerji
{"title":"Stochastic Geomodeling of Karst Morphology by Dynamic Graph Dissolution","authors":"Rayan Kanfar, T. Mukerji","doi":"10.1007/s11004-023-10088-4","DOIUrl":"https://doi.org/10.1007/s11004-023-10088-4","url":null,"abstract":"","PeriodicalId":51117,"journal":{"name":"Mathematical Geosciences","volume":"6 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74620986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-01DOI: 10.1007/s11004-023-10096-4
A. F. Duarte, A. Soares, M. Pereira, A. Peralta-Santos, Pedro Pinto Leite, Leonardo Azevedo
{"title":"A Stochastic Model of an Early Warning System for Detecting Anomalous Incidence Values of COVID-19","authors":"A. F. Duarte, A. Soares, M. Pereira, A. Peralta-Santos, Pedro Pinto Leite, Leonardo Azevedo","doi":"10.1007/s11004-023-10096-4","DOIUrl":"https://doi.org/10.1007/s11004-023-10096-4","url":null,"abstract":"","PeriodicalId":51117,"journal":{"name":"Mathematical Geosciences","volume":"32 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78590543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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