INVITED PAPER
Jul 1, 2009

Comparison of Spatial Interpolation Methods for Water Quality Evaluation in the Chesapeake Bay

Publication: Journal of Environmental Engineering
Volume 136, Issue 2

Abstract

Spatial interpolation methods are frequently used to estimate values of physical or chemical constituents in locations where they are not measured. Very little research has been conducted, however, to investigate the relative performance of different interpolation methods in surface waters. The study reported here uses archived water quality data from the Chesapeake Bay to compare three spatial interpolation methods: inverse distance weighting, ordinary kriging, and a universal kriging method that incorporates output from a process-based water quality model. Interpolations were performed on salinity, water temperature, and dissolved oxygen “snap shots” (cruise-based data sets) taken between 1985 and 1994 at 21 different depths for multiple locations in the mainstem Bay, using data compiled by the prototypical Chesapeake Bay Environmental Observatory. The kriging methods generally outperform inverse distance weighting for all parameters and depths. Incorporating output from the water quality model through universal kriging appears to improve some of the interpolations by specifically accounting for some physical and biogeochemical features of the estuary. Such integration of process-based information with statistical interpolation warrants further study.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This study was supported by funding from the National Science Foundation (Grant No. NSF0618986). We would also like to thank Carl Cerco and Mark Noel of the Army Corps of Engineers for access to and valuable support in the use of the WQM output; EPA Chesapeake Bay Program for access to the observational data; several anonymous reviewers for their comments; and the CBEO team, particularly Randal Burns, Eric Perlman, Dominic Di Toro, Michael Kemp, Damian Brady, Maureen Brooks, and Jeremy Testa for suggestions and aid in this study.

References

Bahner, L. (2006). User guide for the Chesapeake bay and tidal tributary interpolator, NOAA Chesapeake Bay Office, Annapolis, Md.
CBEO Project Team. (2008). “Prototype system for multidisciplinary shared cyberinfrastructure: Chesapeake Bay Environmental Observatory.” J. Hydrol. Eng., 13(10), 960–970.
Cerco, C. F., and Cole, T. (1993). “3-dimensional eutrophication model of Chesapeake Bay.” J. Environ. Eng., 119(6), 1006–1025.
Cerco, C. F., and Meyers, M. (2000). “Tributary refinements to Chesapeake Bay Model.” J. Environ. Eng., 126(2), 164–174.
Cerco, C. F., and Noel, M. R. (2004). “The 2002 Chesapeake Bay eutrophication model.” Rep. No. EPA 903-R-04-004, U.S. Army Corps of Engineers, Waterways Experiment Station, Vicksburg, Miss.
Cerco, C. F., and Noel, M. R. (2005). “Incremental improvements in Chesapeake Bay environmental model package.” J. Environ. Eng., 131(5), 745–754.
Chehata, M., Jasinski, D., Monteith, M. C., and Samuels, W. B. (2007). “Mapping three-dimensional water-quality data in the Chesapeake Bay using geostatistics.” J. Am. Water Resour. Assoc., 43(3), 813–828.
Chesapeake Bay Program (CBP). (1993). “Guide to using Chesapeake Bay Program water quality monitoring data.” Rep. No. CBP/TRS 78/92, Chesapeake Bay Program, Annapolis, Md.
Chesapeake Bay Program (CBP). (2008a). “Facts & figures.” ⟨http://www.chesapeakebay.net/factsandfigures.aspx⟩ (July 17, 2008).
Chesapeake Bay Program (CBP). (2008b). “CBP water quality database (1984–present).” ⟨http://www.chesapeakebay.net/data_waterquality.aspx⟩ (June 20, 2008).
Cressie, N. A. C. (1989). “The many faces of spatial prediction.” Geostatistics, 1, 163–176.
Cressie, N. A. C. (1993). Statistics for spatial data, Wiley, New York.
Curriero, F. C. (2007). “On the use of non-Euclidean distance measures in geostatistics.” Math. Geol., 38(8), 907–926.
Day, J. W., Hall, C., Kemp, W. M., and Yanez-Arancibia, A. (1989). Estuarine ecology, Wiley, New York.
Diggle, P. J., and Ribeiro, P. J. (2007). Modeled-based geostatistics, Springer, New York.
Georgakarakos, S., and Kitsiou, D. (2008). “Mapping abundance distribution of small pelagic species applying hydroacoustics and co-kriging techniques.” Hydrobiologia, 612, 155–169.
Goovaerts, P., et al. (2008). “Geostatistical modeling of the spatial distribution of soil dioxins in the vicinity of an incinerator. 1. Theory and application to Midland, Michigan.” Environ. Sci. Technol., 42(10), 3648–3654.
Hagy, J. D., Boynton, W. R., Wood, C. W., and Wood, K. V. (2004). “Hypoxia in the Chesapeake Bay, 1950–2001: Long-term changes in relation to nutrient loading and river flows.” Estuaries, 27(4), 634–658.
Isaaks, E. H., and Srivastava, R. M. (1989). An introduction to applied geostatistics, Oxford University Press, New York.
Jensen, O. P., Christman, M. P., and Miller, T. J. (2006). “Landscape-based geostatistics: A case study of the distribution of blue crab in Chesapeake Bay.” Environmetrics, 17(6), 605–621.
Johnson, B. H., Kim, K. W., Heath, R. E., Hshieh, B. B., and Butler, H. L. (1993). “Validation of a three-dimensional hydrodynamic model of Chesapeake Bay.” J. Hydraul. Eng., 119(1), 2–20.
LoBuglio, J. N., Characklis, G. W., and Serre, M. L. (2007). “Cost-effective water quality assessment through the integration of monitoring data and modeling results.” Water Resour. Res., 43, W03435.
Matheron, G. (1969). “Le krigeage universel.” Rep. No. 1Cahiers du Centre de Morphologie Mathématique, l'Ecole des Mines de Paris, Fontainebleau, France.
Mueller, T. G., Pusuluri, N. B., Mathias, K. K., Cornelius, P. L., Barnhisel, R. I., and Shearer, S. A. (2004). “Map quality for ordinary kriging and inverse distance weighted interpolation.” Soil Sci. Soc. Am. J., 68, 2042–2047.
R Development Core Team. (2008). “The R project for statistical computing.” ⟨http://www.r-project.org/⟩ (Jan. 13, 2008).
Ribeiro, P. J., and Diggle, P. J. (2008). “geoR: A package for geostatistical analysis using the R software.” ⟨http://leg.ufpr.br/geoR/⟩ (May 22, 2008).
Ripley, B. D., and Lapsley, M. (2008). “RODBC: ODBC database access.” ⟨http://cran.r-project.org/web/packages/RODBC/index.html⟩ (May 22, 2008).
Rivest, M., Marcotte, D., and Pasquier, P. (2008). “Hydraulic head field estimation using kriging with an external drift: A way to consider conceptual model information.” J. Hydrol., 361, 349–361.
Schabenberger, O., and Gotway, C. A. (2004). Statistical methods for spatial data analysis, CRC, Boca Raton, Fla.
Schubel, J. R., and Pritchard, D. W. (1987). “A brief physical description of the Chesapeake Bay.” Contaminant problems and management of living Chesapeake Bay resources, S. K. Majumdar, L. W. Hall Jr., and H. M. Austin, eds., Pennsylvania Academy of Science, Phillipsburg, N.J., 1–32.
Shlomi, S., and Michalak, A. M. (2007). “A geostatistical framework for incorporating transport information in estimating the distribution of a groundwater contaminant plume.” Water Resour. Res., 43, W03412.
Simard, Y., Legendre, P., Lavoie, G., and Marcotte, D. (1992). “Mapping, estimating biomass, and optimizing sampling programs for spatially autocorrelated data: Case study of the northern shrimp (Pandalus borealis).” Can. J. Fish. Aquat. Sci., 49, 32–45.
Smith, D. E., Leffler, M., and Mackiernan, G., eds. (1992). Oxygen dynamics in the Chesapeake Bay: A synthesis of recent research, Maryland Sea Grant College, College Park, Md.
USEPA. (2008). “Chesapeake Bay Phase 5 community watershed model.” Rep. No. EPA XXX-X-XX-008, Chesapeake Bay Program Office, Annapolis, Md., in preparation.
USEPA, and Region III Chesapeake Bay Program Office. (2005). “Chesapeake Bay program analytical segmentation scheme: Revisions, decisions and rationales 1983–2003, 2005 addendum.” Rep. No. EPA 903-R-05-004, U.S. Environmental Protection Agency Region III, Chesapeake Bay Program Office, Monitoring and Analysis Subcommittee, and Tidal Monitoring and Analysis Workgroup, Annapolis, Md.
USEPA, and Region III Water Protection Division. (2007). “Ambient water quality criteria for dissolved oxygen, water clarity and chlorophyll a for the Chesapeake Bay and its tidal tributaries 2007 addendum.” Rep. No. EPA 903-R-07-003, U.S. Environmental Protection Agency Region III, Chesapeake Bay Program Office, and Region III Water Protection Division, Annapolis, Md.
Wackernagel, H. (2003). Multivariate geostatistics: An introduction with applications, Springer, Berlin.
Wang, H. V., and Johnson, B. H. (2000). “Validation and application of the second generation three dimensional hydrodynamic model of Chesapeake Bay.” Water Qual. Ecosyst. Model., 1, 51–90.
Zimmerman, D., Pavlik, C., Ruggles, A., and Armstrong, M. P. (1999). “An experimental comparison of ordinary and universal kriging and inverse distance weighting.” Math. Geol., 31(4), 375–390.

Information & Authors

Information

Published In

Go to Journal of Environmental Engineering
Journal of Environmental Engineering
Volume 136Issue 2February 2010
Pages: 160 - 171

History

Received: Nov 6, 2008
Accepted: Jun 29, 2009
Published online: Jul 1, 2009
Published in print: Feb 2010

Permissions

Request permissions for this article.

Authors

Affiliations

Rebecca R. Murphy
Ph.D. Student, Dept. of Geography and Environmental Engineering, Johns Hopkins Univ., 3400 N. Charles St., Baltimore, MD 21218 (corresponding author).
Frank C. Curriero
Associate Professor, Dept. of Environmental Health Sciences and Dept. of Biostatistics, Johns Hopkins Bloomberg School of Public Health, 615 N. Wolfe St., Baltimore, MD 21205.
William P. Ball, M.ASCE
Professor, Dept. of Geography and Environmental Engineering, Johns Hopkins Univ., 3400 N. Charles St., Baltimore, MD 21218.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share