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Spatial variability

Spatial variability occurs when a quantity that is measured at different spatial locations exhibits values that differ across the locations. Spatial variability can be assessed using spatial descriptive statistics such as the range.

Let us suppose that the Rev' z(x) is perfectly known at any point x within the field under study. Then the uncertainty about z(x) is reduced to zero, whereas its spatial variability still exists. Uncertainty is closely related to the amount of spatial variability, but it is also strongly dependent upon sampling.[1]

Geostatistical analyses have been strictly performed to study the spatial variability of pesticide sorption[2][3][4] and degradation[5] in the field. Webster and Oliver[6] provided a description of geostatistical techniques. Describing uncertainty using geostatistics is not an activity exempt from uncertainty itself as variogram uncertainty may be large[7] and spatial interpolation may be undertaken using different techniques.[8]

References edit

  1. ^ Delhomme 1979, pp. 269–280.
  2. ^ Cambardella et al. 1994, pp. 1501–1511.
  3. ^ Novak, Moorman & Cambardella 1997, pp. 1271–1277.
  4. ^ Jacques et al. 1999, pp. 31–52.
  5. ^ Walker, Wood & Oliver 2001, pp. 233–238.
  6. ^ Webster 2007.
  7. ^ Jansen 1998, pp. 247–253.
  8. ^ Dubus, Brown & Beulke 2003, pp. 53–72.

Literature edit

  • Isaaks, E.H., Srivastava R.M.: Applied Geostatistics. 1989
  • Fortin, Marie-Josee, Dale, Mark.: Spatial Analysis A Guide for Ecologists. 2005. Cambridge University Press, 365 pp.
  • Kristensen, Terje; Ohlson, Mikael; Bolstad, Paul; Nagy, Zoltan (2015-07-24). "Spatial variability of organic layer thickness and carbon stocks in mature boreal forest stands—implications and suggestions for sampling designs". Environmental Monitoring and Assessment. 187 (8). Springer Science and Business Media LLC: 521. doi:10.1007/s10661-015-4741-x. ISSN 0167-6369. PMID 26205281. S2CID 6396005.
  • Delhomme, J. P. (1979). "Spatial variability and uncertainty in groundwater flow parameters: A geostatistical approach". Water Resources Research. 15 (2). American Geophysical Union (AGU): 269–280. Bibcode:1979WRR....15..269D. doi:10.1029/wr015i002p00269. ISSN 0043-1397.* Cambardella, C. A.; Moorman, T. B.; Novak, J. M.; Parkin, T. B.; Karlen, D. L.; Turco, R. F.; Konopka, A. E. (1994). "Field-Scale Variability of Soil Properties in Central Iowa Soils". Soil Science Society of America Journal. 58 (5). Wiley: 1501–1511. Bibcode:1994SSASJ..58.1501C. doi:10.2136/sssaj1994.03615995005800050033x. ISSN 0361-5995.* Novak, J. M.; Moorman, T. B.; Cambardella, C. A. (1997). "Atrazine Sorption at the Field Scale in Relation to Soils and Landscape Position". Journal of Environmental Quality. 26 (5). Wiley: 1271–1277. doi:10.2134/jeq1997.00472425002600050011x. ISSN 0047-2425.* Jacques, D; Mouvet, C; Mohanty, B; Vereecken, H; Feyen, J (1999). "Spatial variability of atrazine sorption parameters and other soil properties in a podzoluvisol" (PDF). J Contam Hydrol. 36 (1): 31–52. Bibcode:1999JCHyd..36...31J. doi:10.1016/S0169-7722(98)00141-7.
  • Price, OR; Walker, A; Wood, M; Oliver, MA (2001). "Using geostatistics to evaluate spatial variation in pesticideysoil interactions". In Walker A. (ed.). Pesticide behaviour in soils and water. BCPC Symposium Proceedings No. 78. Farnham, UK. pp. 233–238.{{cite book}}: CS1 maint: location missing publisher (link)
  • Webster, R (2007). Geostatistics for environmental scientists. Chichester Hoboken, NJ: Wiley. ISBN 978-0-470-02858-2. OCLC 212122100.
  • Jansen, Michiel J.W. (1998). "Prediction error through modelling concepts and uncertainty from basic data". Nutrient Cycling in Agroecosystems. 50 (1/3). Springer Science and Business Media LLC: 247–253. doi:10.1023/a:1009748529970. ISSN 1385-1314. S2CID 38278687.
  • Dubus, Igor G; Brown, Colin D; Beulke, Sabine (2003). "Sources of uncertainty in pesticide fate modelling". Science of the Total Environment. 317 (1–3). Elsevier BV: 53–72. Bibcode:2003ScTEn.317...53D. CiteSeerX 10.1.1.472.35. doi:10.1016/s0048-9697(03)00362-0. ISSN 0048-9697. PMID 14630412.

External links edit

spatial, variability, confused, with, spatial, heterogeneity, occurs, when, quantity, that, measured, different, spatial, locations, exhibits, values, that, differ, across, locations, assessed, using, spatial, descriptive, statistics, such, range, suppose, tha. Not to be confused with Spatial heterogeneity Spatial variability occurs when a quantity that is measured at different spatial locations exhibits values that differ across the locations Spatial variability can be assessed using spatial descriptive statistics such as the range Let us suppose that the Rev z x is perfectly known at any point x within the field under study Then the uncertainty about z x is reduced to zero whereas its spatial variability still exists Uncertainty is closely related to the amount of spatial variability but it is also strongly dependent upon sampling 1 Geostatistical analyses have been strictly performed to study the spatial variability of pesticide sorption 2 3 4 and degradation 5 in the field Webster and Oliver 6 provided a description of geostatistical techniques Describing uncertainty using geostatistics is not an activity exempt from uncertainty itself as variogram uncertainty may be large 7 and spatial interpolation may be undertaken using different techniques 8 References edit Delhomme 1979 pp 269 280 Cambardella et al 1994 pp 1501 1511 Novak Moorman amp Cambardella 1997 pp 1271 1277 Jacques et al 1999 pp 31 52 Walker Wood amp Oliver 2001 pp 233 238 sfn error no target CITEREFWalkerWoodOliver2001 help Webster 2007 Jansen 1998 pp 247 253 Dubus Brown amp Beulke 2003 pp 53 72 Literature editThis further reading section may need cleanup Please read the editing guide and help improve the section February 2023 Learn how and when to remove this template message Isaaks E H Srivastava R M Applied Geostatistics 1989 Fortin Marie Josee Dale Mark Spatial Analysis A Guide for Ecologists 2005 Cambridge University Press 365 pp Kristensen Terje Ohlson Mikael Bolstad Paul Nagy Zoltan 2015 07 24 Spatial variability of organic layer thickness and carbon stocks in mature boreal forest stands implications and suggestions for sampling designs Environmental Monitoring and Assessment 187 8 Springer Science and Business Media LLC 521 doi 10 1007 s10661 015 4741 x ISSN 0167 6369 PMID 26205281 S2CID 6396005 Delhomme J P 1979 Spatial variability and uncertainty in groundwater flow parameters A geostatistical approach Water Resources Research 15 2 American Geophysical Union AGU 269 280 Bibcode 1979WRR 15 269D doi 10 1029 wr015i002p00269 ISSN 0043 1397 Cambardella C A Moorman T B Novak J M Parkin T B Karlen D L Turco R F Konopka A E 1994 Field Scale Variability of Soil Properties in Central Iowa Soils Soil Science Society of America Journal 58 5 Wiley 1501 1511 Bibcode 1994SSASJ 58 1501C doi 10 2136 sssaj1994 03615995005800050033x ISSN 0361 5995 Novak J M Moorman T B Cambardella C A 1997 Atrazine Sorption at the Field Scale in Relation to Soils and Landscape Position Journal of Environmental Quality 26 5 Wiley 1271 1277 doi 10 2134 jeq1997 00472425002600050011x ISSN 0047 2425 Jacques D Mouvet C Mohanty B Vereecken H Feyen J 1999 Spatial variability of atrazine sorption parameters and other soil properties in a podzoluvisol PDF J Contam Hydrol 36 1 31 52 Bibcode 1999JCHyd 36 31J doi 10 1016 S0169 7722 98 00141 7 Price OR Walker A Wood M Oliver MA 2001 Using geostatistics to evaluate spatial variation in pesticideysoil interactions In Walker A ed Pesticide behaviour in soils and water BCPC Symposium Proceedings No 78 Farnham UK pp 233 238 a href Template Cite book html title Template Cite book cite book a CS1 maint location missing publisher link Webster R 2007 Geostatistics for environmental scientists Chichester Hoboken NJ Wiley ISBN 978 0 470 02858 2 OCLC 212122100 Jansen Michiel J W 1998 Prediction error through modelling concepts and uncertainty from basic data Nutrient Cycling in Agroecosystems 50 1 3 Springer Science and Business Media LLC 247 253 doi 10 1023 a 1009748529970 ISSN 1385 1314 S2CID 38278687 Dubus Igor G Brown Colin D Beulke Sabine 2003 Sources of uncertainty in pesticide fate modelling Science of the Total Environment 317 1 3 Elsevier BV 53 72 Bibcode 2003ScTEn 317 53D CiteSeerX 10 1 1 472 35 doi 10 1016 s0048 9697 03 00362 0 ISSN 0048 9697 PMID 14630412 External links edit EPA Regional Vulnerability Assessment ReVA Environmental Decision Toolkit amethyst epa gov 2006 10 01 Archived from the original on 2006 10 01 Retrieved 2021 04 12 http gis esri com library userconf proc05 papers pap1184 pdf https web archive org web 20100110102738 http willingtoncropservices co uk case study GPS soil sampling nutrient mapping htm Willington Crop Services shows spatial variability in action with Case Study on GPS soil sampling GPS nutrient mapping and nutrient management Retrieved from https en wikipedia org w index php title Spatial variability amp oldid 1137729632, wikipedia, wiki, book, books, library,

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