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Application of index number theory to the construction of a water quality index: Aggregated nutrient loadings related to the areal extent of hypoxia in the northern Gulf of Mexico

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Title Application of index number theory to the construction of a water quality index: Aggregated nutrient loadings related to the areal extent of hypoxia in the northern Gulf of Mexico
Names Whittaker, Gerald (creator)
Barnhart, Bradley (creator)
Färe, Rolf (creator)
Grosskopf, Shawna (creator)
Date Issued 2015-02 (iso8601)
Note To the best of our knowledge, one or more authors of this paper were federal employees when contributing to this work. This is the publisher’s final pdf. The published article is copyrighted by Elsevier and can be found at: http://www.journals.elsevier.com/ecological-indicators.
Abstract Numerous studies have linked individual nutrient loadings from the Mississippi and Atchafalaya Rivers to
the growth of the hypoxic, or oxygen depleted, zone in the northern Gulf of Mexico. However, in the
discussion of policy to remediate Gulf hypoxia, it is beneficial for stakeholders and policymakers to obtain
a single measure for water quality that characterizes information from multiple water pollutants. This
study aggregates loadings from six nutrients measured at the entrance to the Gulf of Mexico into a single
time-varying index of water quality. The index is constructed using traditional index number theory
originating from economic production theory, mainly, Shephard’s distance functions calculated using
data envelopment analysis (DEA). The methodology is an advance over other index construction schemes
because the determined metric weights are endogenous, calculated from the data itself, and do not
require external user input. To validate the index, May values of the index are used within a statistical
regression model to model the areal extent of Gulf hypoxia using mid-July cruise measurements from
1985 to 2013, excluding 1989 when no cruise data were available. Regression results (R²[subscript adj] = 0.81) suggest
the index is successful at aggregating multiple pollutants into a single measure of water quality and may
be useful for tracking their aggregated effect on the growth of the hypoxia area in the northern Gulf of
Mexico. Calculation of the water quality index described here is automatic in the sense that no human
intervention is required for variable selection, statistical analysis or assignment of weights. This is very
useful for specifying a water quality objective in a multiple objective optimization for watershed
management.
Genre Article
Topic Eutrophication
Identifier Whittaker, G., Barnhart, B., Färe, R., & Grosskopf, S. (2015). Application of index number theory to the construction of a water quality index: Aggregated nutrient loadings related to the areal extent of hypoxia in the northern Gulf of Mexico. Ecological Indicators, 49, 162-168. doi:10.1016/j.ecolind.2014.10.003

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