Analyzing correlations between stream and watershed attributes

Journal of the American Water Resources Association

Volumn 39, Issue 3, 2003, Pages 717-726

  Van Sickle, John ^a  

^a U S ENVIRONMENTAL PROTECTION AGENCY   (United States)

Author keywords

Confidence interval; Correlation; Regression; Significance test; Stream; Watershed

Indexed keywords

AGRICULTURE; ERROR ANALYSIS; WATERSHEDS;

AGRICULTURAL WATERSHEDS;

SURFACE WATER RESOURCES;

STATISTICAL ANALYSIS; STREAM CHANNEL; WATERSHED;

EID: 0042861676     PISSN: 1093474X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1752-1688.2003.tb03687.x     Document Type: Article

References (54)

1. Anderson, D. R. and K. P. Burnham, 2001. Commentary on Models in Ecology. Bulletin of the Ecological Society of America 82:160-161.
2. Budescu, D. V., 1993. Dominance Analysis: A New Approach to the Problem of Relative Importance of Predictors in Multiple Regression. Psychological Bulletin 114:542-551.
3. Burnham, K. P. and D. R. Anderson, 1998. Model Selection and Inference: A Practical Information-Theoretic Approach. Springer-Verlag, New York, New York, 353 pp.
4. Comeleo, R. L., J. F. Paul, P. V. August, J. Copeland, C. Baker, S. S. Hale, and R. W. Latimer, 1996. Relationships Between Watershed Stressors and Sediment Contamination in Chesapeake Bay Estuaries. Landscape Ecology 11:307-319.
5. Duncan, G. T. and M. W. J. Layard, 1973. A Monte-Carlo Study of Asymptotically Robust Tests for Correlation Coefficients. Biometrika 60:551-558.
6. Dunn, O. J. and V. Clark. 1971. Comparison of Tests of the Equality of Dependent Correlation Coefficients. Journal of the American Statistical Association 66:904-908.
7. Faloudi, R. T., 2000. Performance of Modified Test Statistics in Covariance and Correlation Structure Analysis Under Conditions of Multivariate Nonnormality. Structural Equation Modeling 7:356-410.
8. Fernandez-Duque, E. 1997. Comparing and Combining Data Across Studies: Alternatives to Significance Testing. Oikos 79:616-618.
9. Fitzpatrick, F. A., B. C. Scudder, B. N. Lenz, and D. J. Sullivan, 2001. Effects of Multi-Scale Environmental Characteristics on Agricultural Stream Biota in Eastern Wisconsin. Journal of the American Water Resources Association 37:1489-1507.
10. Gove, N. E., R. T. Edwards, and L. L. Conquest, 2001. Effects of Scale on Land Use and Water Quality Relationships: A Longitudinal Basin-Wide Perspective. Journal of the American Water Resources Association 37:1721-1734.
11. Harrell, F. E., Jr. 2001. Regression Modeling Strategies. Springer-Verlag, New York, New York.
12. Hill, A. R., 1978. Factors Affecting the Export of Nitrate-Nitrogen From Drainage Basins in Southern Ontario. Water Research 12:1045-1057.
13. Hill, A. R., 1981. Stream Phosphorus Exports From Watersheds With Contrasting Land Uses in Southern Ontario. Water Resources Bulletin 17:627-634.
14. Hotelling, H., 1940. The Selection of Variates for Use in Prediction With Some Comments on the General Problem of Nuisance Parameters. Annals of Mathematical Statistics 11:271-283.
15. Hughes, R. M., P. R. Kaufmann, A. T. Herlihy, T. M. Kincaid, L. Reynolds, and D. P. Larsen, 1998. A Process for Developing and Evaluating Indices of Fish Assemblage Integrity. Canadian Journal of Fisheries and Aquatic Science 55:1618-1631.
16. Hunsaker, C. T. and D. A. Levine, 1995. Hierarchical Approaches to the Study of Water Quality in Rivers. Bioscience 45:193-203.
17. Johnson, D. H., 1999. The Insignificance of Statistical Significance Testing. Journal of Wildlife Management 63:763-772.
18. Johnson, L. B., C. Richards, G. E. Host, and J. W. Arthur, 1997. Landscape Influences on Water Chemistry in Midwestern Stream Ecosystems. Freshwater Biology 37:193-208.
19. Johnson, S. L. and A. P. Covich, 1997. Scales of Observation of Riparian Forests and Distributions of Suspended Detritus in a Prairie River. Freshwater Biology 37:163-175.
20. Jones, K. B., A. C. Neale, M. S. Nash, R. D. Van Remortel, J. D. Wickham, K. H. Riitters, and R. V. O'Neill, 2001. Predicting Nutrient and Sediment Loadings to Streams From Landscape Metrics: A Multiple Watershed Study From the United States Mid-Atlantic Region. Landscape Ecology 16:301-312.
21. Lammert, M. and J. D. Allan, 1999. Assessing Biotic Integrity of Streams: Effects of Scale in Measuring the Influence of Land Use/Cover and Habitat Structure on Fish and Macroinvertebrates. Environmental Management 23:257-270.
22. Larzelere, R. E. and S. A. Mulaik, 1977. Single-Sample Tests for Many Correlations. Psychological Bulletin 84:557-569.
23. Lazorchak, J. M., D. J. Klemm, and D.V. Peck (Editors), 1998. Environmental Monitoring and Assessment Program - Surface Waters: Field Operations and Methods for Measuring the Ecological Condition of Wadeable Streams. EPA/620/R-94/004F, U.S. Environmental Protection Agency, Washington, D.C.
24. Legendre, P. and L. Legendre, 1998. Numerical Ecology (Second Edition). Elsevier, Amsterdam, 853 pp.
25. Mardia, K. V., J. T. Kent, and J. M. Bibby, 1979. Multivariate Analysis. Academic Press, New York, New York, 518 pp.
26. Miller, Jr., R. G., 1981. Simultaneous Statistical Inference (Second Edition). Springer-Verlag, New York, New York, 299 pp.
27. Miller, Jr., R. G., 1986. Beyond ANOVA: Basics of Applied Statistics. John Wiley and Sons, New York, New York, 317 pp.
28. Morrison, D. F. 1990. Multivariate Statistical Methods (Third Edition). McGraw-Hill, New York, New York.
29. Moser, T. J., D. R. Lindeman, P. J. Wigington, Jr., M. J. Schuft, and J. Van Sickle, 2000. Methods for Multi-Scale Characterization of Riparian Corridors. In: Riparian Ecology and Management in Multi-Land Use Watersheds, P. J. Wigington, Jr., and R. L. Beschta (Editors). American Water Resources Association, Middleburg, Virginia, TPS-00-2, 616 pp.
30. Neill, J. J. and O. J. Dunn, 1975. Equality of Dependent Correlation Coefficients. Biometrics 31:531-543.
31. Nelder, J. A., 1999. Statistics for the Millenium: From Statistics to Statistical Science. The Statistician 48(Part 2):257-269.
32. Olkin, I. and J. D. Finn, 1990. Testing Correlated Correlations. Psychological Bulletin 108:330-333.
33. Olkin, I. and J. D. Finn, 1995. Correlations Redux. Psychological Bulletin 118:155-164.
34. Osborne, L. L. and M. J. Wiley, 1988. Empirical Relationships Between Land Use/Cover and Stream Water Quality in an Agricultural Watershed. Journal of Environmental Management 26:9-27.
35. Pennington, A. T., A. K. Harding, C. W. Hendricks, and H. M. K. Campbell, 2001. Evaluating Microbial Indicators of Environmental Condition in Oregon Rivers. Environmental Management 28:833-841.
36. Pielou, E. C., 1984. The Interpretation of Ecological Data: A Primer on Classification and Ordination. John Wiley and Sons, New York, New York, 263 pp.
37. Ramsey, F. L. and D. W. Schafer, 1997. The Statistical Sleuth: A Course in Methods of Data Analysis. Duxbury Press, Wadsworth Publishing, Belmont, California, 742 pp.
38. Roth, N. E., J. D. Allan, and D. L. Erickson, 1996. Landscape Influences on Stream Biotic Integrity Assessed at Multiple Spatial Scales. Landscape Ecology 11:141-156.
39. Rousseeuw, P. J. and G. Molenberghs, 1994. The Shape of Correlation Matrices. American Statistician 48:276-279.
40. Sokal, R. R. and F. J. Rohlf, 1995. Biometry (Third Edition). W. H. Freeman and Company, New York, New York.
41. Sponseller, R. A., E. F. Benfield and H. M. Valett, 2001. Relationships Between Land Use, Spatial Scale and Stream Macroinvertebrate Communities. Freshwater Biology 46:1409-1424.
42. Steiger, J. H., 1979. MULTICORR: A Computer Program for Fast, Accurate, Small-Sample Testing of Correlational Pattern Hypotheses. Educational and Psychological Measurement 39:677-680.
43. Steiger, J. H., 1980a. Tests for Comparing Elements of a Correlation Matrix. Psychological Bulletin 87:245-251.
44. Steiger, J. H. 1980b. Testing Pattern Hypotheses on Correlation Matrices: Alternative Statistics and Some Empirical Results. Multivariate Behavioral Research 15:335-352.
45. Steiger, J. H. and M. H. Browne, 1984. The Comparison of Interdependent Correlations Between Optimal Linear Composites. Psychometrika 49:11-24.
46. Steiger, J. H. and A. R. Hakstian, 1982. The Asymptotic Distribution of Elements of a Correlation Matrix: Theory and Application. British Journal of Mathematical and Statistical Psychology 35:208-215.
47. Stewart, J. S., L. Wang, J. Lyons, J. A. Horwatich, and R. Bannerman, 2001. Influences of Watershed, Riparian-Corridor, and Reach-Scale Characteristics on Aquatic Biota in Agricultural Watersheds. Journal of the American Water Resources Association 37:1475-1487.
48. Tong, S. T. Y., 2001. An Integrated Exploratory Approach to Examining the Relationships of Environmental Stressors and Fish Responses. Journal of Aquatic Ecosystem Stress and Recovery 9:1-19.
49. Wang, L., J. Lyons, P. Kanehl, R. Bannerman, and E. Emmons, 2000. Watershed Urbanization and Changes in Fish Communities in Southeastern Wisconsin Streams. Journal of the American Water Resources Association 36:1173-1189.
50. Wang, L., J. Lyons, P. Kanehl, and R. Bannerman, 2001. Impacts of Urbanization on Stream Habitat and Fish Across Multiple Spatial Scales. Environmental Management 28:255-266.
51. Williams, E. J., 1959a. The Comparison of Regression Variables. Journal of the Royal Statistical Society, Series B(21):396-399.
52. Williams, E. J., 1959b. Regression Analysis. John Wiley and Sons, New York, New York.
53. Yoccoz, N. G., 1991. The Overuse and Misuse of Significance Tests in Evolutionary Biology and Ecology. Bulletin of the Ecological Society of America 72:106-111.
54. Zar, J. H., 1999. Biostatistical Analysis (Fourth Edition). Prentice-Hall, Englewood Cliffs, New Jersey, 663 pp.