Variance estimation for spatially balanced samples of environmental resources

Environmetrics

Volumn 14, Issue 6, 2003, Pages 593-610

  Stevens Jr , Don L ^a   Olsen, Anthony R ^b  

^a OREGON STATE UNIVERSITY   (United States)

^b U S ENVIRONMENTAL PROTECTION AGENCY   (United States)

Author keywords

Environmental monitoring; Horvitz Thompson; Spatial sampling

Indexed keywords

ENVIRONMENTAL MONITORING; RESOURCE MANAGEMENT; SPATIAL ANALYSIS;

EID: 0041411663     PISSN: 11804009     EISSN: None     Source Type: Journal    
DOI: 10.1002/env.606     Document Type: Review

References (33)

1. Bellhouse DR. 1977. Some optimal designs for sampling in two dimensions. Biometrika 64: 605-611.
2. Breidt FJ. 1995. Markov chain designs for one-per-stratum sampling. Sarvey Methodology 21(1): 63-70.
3. Cochran WG. 1946. Relative accuracy of systematic and stratified random samples for a certain class of populations. Annals of Mathematical Statistics 17: 164-177.
4. Cochran WG. 1977. Sampling Techniques, 3rd edn. Wiley: New York.
5. Cordy C. 1993. An extension of the Horvitz-Thompson theorem to point sampling from a continuous universe. Probability and Statistics Letters 18: 353-362.
6. Cotter J, Nealon J. 1987. Area Frame Design for Agricultural Surveys, U.S. Department of Agriculture, National Agricultural Statistics Service, Research and Applications Division, Area Frame Section.
7. Cressie N. 1991. Statistics for Spatial Data. Wiley: New York.
8. Dalenius T, Hájek J, Zubrzycki S. 1961. On plane sampling and related geometrical problems. Proceedings of the 4th Berkeley Symposium on Probability and Mathematical Statistics 1: 125-150.
9. Dunn R, Harrison AR. 1993. Two-dimensional systematic sampling of land-use. Applied Statistics 42: 585-601.
10. Gibson L, Lucas D. 1982. Spatial data processing using balanced ternary. Proceedings of the IEEE Computer Society Conference on Pattern Recognition and Image Processing. IEEE Computer Society Press: Silver Springs, MD.
11. Gilbert RO. 1987. Statistical Methods for Environmental Pollution Monitoring. Van Nostrand Reinhold: New York; 320.
12. Herlihy AT, Larsen DP, Paulsen SG, Urquhart NS, Rosenbaum BJ. 2000. Designing a spatially balanced, randomized site selection process for regional stream surveys: the EMAP mid-Atlantic pilot study. Environmental Monitoring and Assessment 63(1): 95-113.
13. Horvitz DG, Thompson DJ. 1952. A generalization of sampling without replacement from a finite universe. Journal of the American Statistical Association 47: 663-685.
14. Larsen DP, Stevens DL Jr, Selle AR, Paulsen SG. 1991. Environmental Monitoring and Assessment Program, EMAP-Surface Waters: a northeast lakes pilot. Lake and Reservoir Management 7(1): 1-11.
15. Madow WG. 1949. On the theory of systematic sampling, II. Annals of Mathematical Statistics 20: 333-354.
16. Mark DM. 1990. Neighbor-based properties of some orderings of two-dimensional space. Geographical Analysis 2: 145-157.
17. Munholland PL, Borkowski JJ. 1996. Simple Latin square sampling +1: a spatial design using quadrats. Biometrics 52: 125-136.
18. Olea RA. 1984. Sampling design optimization for spatial functions. Mathematical Geology 16: 369-392.
19. Overton WS, Stehman SV. 1993. Properties of designs for sampling continuous spatial resources from a triangular grid. Communications in Statistics Part A: Theory and Methods 22: 2641-2660.
20. Peano G. 1890. Sur une courbe, qui remplit toute une aire plane. Mathematische Annalen 36: 157-160.
21. Rao CR, Mitra SK. 1971. Generalized Inverse of Matrices and its Applications. Wiley: New York.
22. Saalfeld A. 1991. Construction of spatially articulated list frames for household surveys. In Proceedings of Statistics Canada Symposium 91, Spatial Issues in Statistics. Statistics Canada: Ottawa, Ontario, Canada; 41-53.
23. Särndal C, Swensen B, Wretman J. 1992. Model Assisted Survey Sampling. Springer-Verlag: New York; 421-423.
24. Simmons GF. 1963. Introduction to Topology and Modern Analysis. McGraw-Hill: New York.
25. Stehman SV, Overton WS. 1994. Environmental sampling and monitoring. In Handbook of Statistics, Vol. 12, pp. 263-305, Patil GP, Rao CR (eds). Elsevier Science: Amsterdam, The Netherlands.
26. Stevens DL Jr. 1994. Implementation of a national environmental monitoring program. Journal of Environmental Management 42: 1-29.
27. Stevens DL Jr. 1997. Variable density grid-based sampling designs for continuous spatial populations. Environmetrics 8: 167-195.
28. Stevens DL Jr, Olsen AR. 1999. Spatially restricted surveys over time for aquatic resources. Journal of Agricultural, Biological, and Environmental Statistics 4: 415-428.
29. Stevens DL Jr, Olsen AR. 2000. Spatially-restricted random sampling designs for design-based and model-based estimation. In Accuracy 2000: Proceedings of the 4th International Symposium on Spatial Accuracy Assessment in Natural Resources and Environmental Sciences. Delft University Press: The Netherlands; 609-616.
30. Wolter K. 1985. Introduction to Variance Estimation. Springer-Verlag. New York: 287.
31. Wolter KM, Harter RM. 1990. Sample maintenance based on Peano keys. In Proceedings of the 1989 International Symposium: Analysis of Data in Time. Statistics Canada: Ottawa, Ontario, Canada; 21-31.
32. Yates F. 1981. Sampling Methods for Censuses and Surveys, 4th edn. Griffin: London.
33. Yates F, Grundy PM. 1953. Selection without replacement from within strata with probability proportional to size. Journal of the Royal Statistical Society B15: 253-261.