Abstract
This paper deals with the design of optimal spatial sampling of water quality variables in remote regions, where logistics are complicated and the optimization of monitoring networks may be critical to maximize the effectiveness of human and material resources. A methodology that combines the probability of exceeding some particular thresholds with a measurement of the information provided by each pair of experimental points has been introduced. This network optimization concept, where the basic unit of information is not a single spatial location but a pair of spatial locations, is used to emphasize the locations with the greatest information, which are those at the border of the phenomenon (for example contamination or a quality variable exceeding a given threshold), that is, where the variable at one of the locations in the pair is above the threshold value and the other is below the threshold. The methodology is illustrated with a case of optimizing the monitoring network by optimal selection of the subset that best describes the information provided by an exhaustive survey done at a given moment in time but which cannot be repeated systematically due to time or economic constrains.








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Adelana SMA, MacDonald AM (2008) Groundwater research issues in Africa. In: Applied groundwater studies in Africa. IAH selected papers on hydrogeology, vol 13. CRC Press/Balkema, Leiden
Angulo JM, Bueso MC, Alonso FJ (2000) A study on sampling design for optimal prediction of space–time stochastic processes. Stoch Environ Res Risk Assess 14:412–427
Angulo JM, Madrid AE, Ruiz-Medina MD (2011) Entropy-based correlated shrinkage of spatial random processes. Stoch Environ Res Risk Assess 25:389–402
Bard Y (1974) Nonlinear parameter estimation. Academic Press, New York
Barry B, Obuobie E (2012) Mali. In: Pavelic P, Giordano M, Keraita B, Ramesh V, Rao T (eds) Groundwater availability and use in Sub-Saharan Africa: a review of 15 countries. International Water Management Institute (IWMI), Colombo. https://doi.org/10.5337/2012.213
Bueso MC, Angulo JM, Cruz-Sanjulián J, García-Aróstegui JL (1999) Optimal spatial sampling design in a multivariate framework. Math Geosci 31(5):507–525
Calow RC, MacDonald AM, Nicol AL, Robins NS (2010) Ground water security and drought in Africa: linking availability, access, and demand. Ground Water 48(2):246–256
Chen S, Hong X, Harris CJ (2003) Sparse kernel regression modeling using combined locally regularized orthogonal least squares and D-optimality experimental design. IEEE Trans Autom Control 48(6):1029–1036
Douaik A, van Meirvenne M, Tóth T, Serre M (2004) Space–time mapping of soil salinity using probabilistic Bayesian maximum entropy. Stoch Environ Res Risk Assess 18:219–227
Foster S, Garduño H (2013) Groundwater-resource governance: are governments and stakeholders responding to the challenge? Hydrogeol J 21(2):317–320
Hachich EM, Di Bari M, Christ APG, Lamparelli CC, Ramos SS, Sato MIZ (2012) Comparison of thermotolerant coliforms and Escherichia coli densities in freshwater bodies. Braz J Microbiol 43(2):675–681
He J, Kolovos A (2017) Bayesian maximum entropy approach and its applications: a review. Stoch Environ Res Risk Assess. https://doi.org/10.1007/s00477-017-1419-7
Kitanidis PK (1997) Introduction to geostatistics: applications to hydrogeology. Cambridge University Press, Cambridge
Llamas MR, Martínez-Santos P (2005) Intensive groundwater use: silent revolution and potential source of social conflict. ASCE J Water Resour Plan Manag 131(5):337–341
MacDonald AM, Bonsor HC, Dochartaigh BEÓ, Taylor RG (2012) Quantitative maps of groundwater resources in Africa. Environ Res Lett 7:024009
Martínez-Santos P (2017a) Does 91% of the world’s population really have “sustainable access to safe drinking water”? Int J Water Resour Dev 33(4):514–533. https://doi.org/10.1080/07900627.2017.1298517
Martínez-Santos P (2017b) Determinants for water consumption from improved sources in rural villages of southern Mali. Appl Geogr 85:113–125. https://doi.org/10.1016/j.apgeog.2017.06.006
Martínez-Santos P, Martín-Loeches M, García-Castro N, Solera D, Díaz-Alcaide S, Coulibaly B, García-Rincón J, Montero E (2017) Pit latrines, shallow wells and domestic-scale water treatment: a delicate balance in rural settlements of Mali. Int J Hyg Environ Health 220(7):1179–1189. https://doi.org/10.1016/j.ijheh.2017.08.001
Olea RA (1999) Geostatistics for engineers and earth scientists. Springer, New York
Oxfam (2009) Oxfam Delagua portable water testing kit. User manual. University of Surrey, Guildford
Pardo-Igúzquiza E (1997) MLREML: a computer program for the inference of spatial covariance parameters by maximum likelihood and restricted maximum likelihood. Comput Geosci 23(2):153–162
Pardo-Igúzquiza E (1998a) Optimal selection of number and location of rainfall gauges for areal rainfall estimation using geostatistics and simulated annealing. J Hydrol 210(1–4):206–220
Pardo-Igúzquiza E (1998b) Inference of spatial indicator covariance parameters by maximum likelihood using MLREML. Comput Geosci 24(5):453–464
Pardo-Igúzquiza E, Dowd PA (2005) Multiple indicator cokriging with application to optimal sampling for environmental monitoring. Comput Geosci 31(1):1–13
Pardo-Igúzquiza E, Grimes DIF, Teo C (2006) Assessing the uncertainty associated with intermittent rainfall fields. Water Resour Res 42(W01412):1–13
Paruch AM, Mæhlum T (2012) Specific features of Escherichia coli that distinguish it from coliform and thermotolerant coliform bacteria and define it as the most accurate indicator of faecal contamination in the environment. Ecol Ind 23(2012):140–142
Pavelic P, Giordano M, Keraita B, Ramesh V, Rao T (2012) Groundwater availability and use in Sub-Saharan Africa: a review of 15 countries. International Water Management Institute (IWMI), Colombo. https://doi.org/10.5337/2012.213
Rouhani S (1985) Variance reduction analysis. Water Resour Res 21(6):837–846
Shannon CE (1948) A mathematical theory of communication. Bell Syst Tech J 27(3):379–423
Sphere (2011) Humanitarian Charter and minimum standards in humanitarian response. The Sphere Project, Rugby. ISBN 978-1-908176-00-4
UNICEF/WHO (2012) Progress on drinking water and sanitation: 2012 update (Report). UNICEF and World Health Organization, New York
UNICEF/WHO (2013) WASH targets and indicators post-2015: outcomes of an expert consultation. UNICEF and World Health Organization, New York
Wang H, Harrison KW (2013) Bayesian approach to contaminant source characterization in water distribution systems: adapative sampling framework. Stoch Environ Res Risk Assess 27:1921–1928
WHO (2002) Environmental health in emergencies and disasters: a practical guide. World Health Organization, Geneva. ISBN 92-4-154541-0
WHO (2011) Guidelines for drinking-water quality. Technical report. World Health Organization, Geneva. ISBN 978-92-4-154815-1
Wibrin MA, Bogaert P, Fasbender D (2006) Combining categorical and continuous spatial information within the Bayesian maximum entropy paradigm. Stoch Environ Res Risk Assess 20:423–433
Zeng X, Wang D, Wu J (2012) Sensitivity analysis of the probability distribution of groundwater level based on information entropy. Stoch Environ Res Risk Assess 26:345–356
Acknowledgements
This research has been funded by the Agencia Española de Cooperación al Desarrollo (AECID), Under Grants 2014/ACDE/005226 and 2016/ACDE/001953. For their time and support, the authors would like to thank Geólogos Sin Fronteras (Geologists Without Borders). We would like to thank the reviewers for their comments that have helped to improve the final version of this paper.
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Pardo-Igúzquiza, E., Martínez-Santos, P. & Martín-Loeches, M. A geostatistical protocol to optimize spatial sampling of domestic drinking water supplies in remote environments. Stoch Environ Res Risk Assess 32, 2433–2444 (2018). https://doi.org/10.1007/s00477-017-1499-4
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DOI: https://doi.org/10.1007/s00477-017-1499-4
