CONDITIONAL SIMULATION OF SPATIOTEMPORAL RANDOM FIELDS OF ENVIRONMENTAL CONTAMINATION
The paper considers a method of conditional simulation of spatiotemporal scalar random fields of certain environmental phenomena. The method can be used to predict field values at given space points at specified time, on the basis of field values at other locations and data on second order moment f...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Gdańsk University of Technology
2006-01-01
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| Series: | TASK Quarterly |
| Subjects: | |
| Online Access: | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2115 |
| _version_ | 1828797335983882240 |
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| author | ROBERT JANKOWSKI HENRYK WALUKIEWICZ |
| author_facet | ROBERT JANKOWSKI HENRYK WALUKIEWICZ |
| author_sort | ROBERT JANKOWSKI |
| collection | DOAJ |
| description |
The paper considers a method of conditional simulation of spatiotemporal scalar random fields of certain environmental phenomena. The method can be used to predict field values at given space points at specified time, on the basis of field values at other locations and data on second order moment functions in the domain. This approach has been applied to a space-time prognosis of soil contamination fields. The assessment of the spatiotemporal variability of heavy metals’ concentrations provides the knowledge needed to monitor and control soil contamination. Empirical data of heavy metal (viz. chromium) concentration in the soil of northern Poland have been used in the study. The acceptance-rejection method has been applied to generate covariance matrices and vectors of discrete field values, taking into account conditional probability distributions. The results of the study show that the considered method can be successfully used to model conditional, spatiotemporal random fields of contamination with relatively small simulation errors.
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| first_indexed | 2024-12-12T04:38:23Z |
| format | Article |
| id | doaj.art-ef75283ff4ee4fbea7ee7575a6677a07 |
| institution | Directory Open Access Journal |
| issn | 1428-6394 |
| language | English |
| last_indexed | 2024-12-12T04:38:23Z |
| publishDate | 2006-01-01 |
| publisher | Gdańsk University of Technology |
| record_format | Article |
| series | TASK Quarterly |
| spelling | doaj.art-ef75283ff4ee4fbea7ee7575a6677a072022-12-22T00:37:53ZengGdańsk University of TechnologyTASK Quarterly1428-63942006-01-01101CONDITIONAL SIMULATION OF SPATIOTEMPORAL RANDOM FIELDS OF ENVIRONMENTAL CONTAMINATIONROBERT JANKOWSKI0HENRYK WALUKIEWICZ1Gdansk University of Technology, Faculty of Civil and Environmental EngineeringGdansk University of Technology, Faculty of Civil and Environmental Engineering The paper considers a method of conditional simulation of spatiotemporal scalar random fields of certain environmental phenomena. The method can be used to predict field values at given space points at specified time, on the basis of field values at other locations and data on second order moment functions in the domain. This approach has been applied to a space-time prognosis of soil contamination fields. The assessment of the spatiotemporal variability of heavy metals’ concentrations provides the knowledge needed to monitor and control soil contamination. Empirical data of heavy metal (viz. chromium) concentration in the soil of northern Poland have been used in the study. The acceptance-rejection method has been applied to generate covariance matrices and vectors of discrete field values, taking into account conditional probability distributions. The results of the study show that the considered method can be successfully used to model conditional, spatiotemporal random fields of contamination with relatively small simulation errors. https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2115stochastic modellingrandom fieldsspatiotemporal covariance functionsoil contamination |
| spellingShingle | ROBERT JANKOWSKI HENRYK WALUKIEWICZ CONDITIONAL SIMULATION OF SPATIOTEMPORAL RANDOM FIELDS OF ENVIRONMENTAL CONTAMINATION TASK Quarterly stochastic modelling random fields spatiotemporal covariance function soil contamination |
| title | CONDITIONAL SIMULATION OF SPATIOTEMPORAL RANDOM FIELDS OF ENVIRONMENTAL CONTAMINATION |
| title_full | CONDITIONAL SIMULATION OF SPATIOTEMPORAL RANDOM FIELDS OF ENVIRONMENTAL CONTAMINATION |
| title_fullStr | CONDITIONAL SIMULATION OF SPATIOTEMPORAL RANDOM FIELDS OF ENVIRONMENTAL CONTAMINATION |
| title_full_unstemmed | CONDITIONAL SIMULATION OF SPATIOTEMPORAL RANDOM FIELDS OF ENVIRONMENTAL CONTAMINATION |
| title_short | CONDITIONAL SIMULATION OF SPATIOTEMPORAL RANDOM FIELDS OF ENVIRONMENTAL CONTAMINATION |
| title_sort | conditional simulation of spatiotemporal random fields of environmental contamination |
| topic | stochastic modelling random fields spatiotemporal covariance function soil contamination |
| url | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2115 |
| work_keys_str_mv | AT robertjankowski conditionalsimulationofspatiotemporalrandomfieldsofenvironmentalcontamination AT henrykwalukiewicz conditionalsimulationofspatiotemporalrandomfieldsofenvironmentalcontamination |