Cokriging of compositional balances including a dimension reduction and retrieval of original units
dc.contributor.author
dc.date.accessioned
2017-03-15T09:45:04Z
dc.date.available
2017-03-15T09:45:04Z
dc.date.issued
2015
dc.identifier.issn
2225-6253
dc.identifier.uri
dc.description.abstract
Compositional data constitutes a special class of quantitative
measurements involving parts of a whole. The sample space has an
algebraic-geometric structure different from that of real-valued data. A
subcomposition is a subset of all possible parts. When compositional
data values include geographical locations, they are also regionalized
variables. In the Earth sciences, geochemical analyses are a common
form of regionalized compositional data. Ordinarily, there are
measurements only at data locations. Geostatistics has proven to be the
standard for spatial estimation of regionalized variables but, in general,
the compositional character of the geochemical data has been ignored.
This paper presents in detail an application of cokriging for the
modelling of compositional data using a method that is consistent with
the compositional character of the data. The uncertainty is evaluated by
a Monte Carlo procedure. The method is illustrated for the contents of
arsenic and iron in groundwaters in Bangladesh, which have the
peculiarity of being measured in milligrams per litre, units for which the
sum of all parts does not add to a constant. Practical results include
maps of estimates of the geochemical elements in the original concentration
units, as well as measures of uncertainty, such as the probability
that the concentration may exceed a given threshold. Results indicate
that probabilities of exceedance in previous studies of the same data are
too low
dc.description.sponsorship
This research has been partly supported by the Spanish Ministry of Economy and Competitiveness under the project METRICS (Ref. MTM2012-33236); and by the Agencia de Gestió d’Ajuts Universitaris i de Recerca of the Generalitat de Catalunya under project Ref: 2009SGR424
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
Southern African Institute of Mining and Metallurgy (SAIMM)
dc.relation
info:eu-repo/grantAgreement/MINECO//MTM2012-33236/ES/METODOS ESTADISTICOS EN ESPACIOS RESTRINGIDOS/
dc.relation.isformatof
Reproducció digital del document publicat a: http://www.saimm.co.za/Journal/v115n01p059.pdf
dc.relation.ispartof
The Journal of The Southern African Institute of Mining and Metallurgy, 2015, vol. 115, p.59-72
dc.relation.ispartofseries
Articles publicats (D-IMA)
dc.rights
Attribution 3.0 Spain
dc.rights.uri
dc.subject
dc.title
Cokriging of compositional balances including a dimension reduction and retrieval of original units
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.embargo.terms
Cap
dc.type.version
info:eu-repo/semantics/publishedVersion
dc.identifier.idgrec
023748
dc.contributor.funder
dc.relation.ProjectAcronym
dc.identifier.eissn
2411-9717