A study of variance estimation methods for systematic spatial sampling

作者: Geir-Harald Strand

DOI: 10.1016/J.SPASTA.2017.06.008

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摘要: Abstract An undesirable property of systematic spatial sampling is that there no known method allowing unbiased estimation the uncertainty statistical estimates from these surveys. A number alternative variance methods have been tested and reported by various authors. Studies comparing estimators are inconclusive, partly because studies compare different sets estimators. In this paper, three recommended in recent compared using a single test dataset with properties. The first estimator study (ST4) based on post-stratification data. second (V08) predetermined correction factor calculated autocorrelation. third (MB) model prediction values semivariogram. MB ST4 were both found to be fairly accurate, while V08 consistently underestimated study. relies assumption autocorrelation structure can described particular exponential function. most likely explanation weak result for violated empirical data used experiment. better calculated, but safe approach use or ST4.

参考文章(29)
R. Dunn, A. R. Harrison, Two‐Dimensional Systematic Sampling of Land Use Applied statistics. ,vol. 42, pp. 585- 601 ,(1993) , 10.2307/2986177
Kirk M. Wolter, Variance Estimation for Systematic Sampling Springer, New York, NY. pp. 298- 353 ,(2007) , 10.1007/978-0-387-35099-8_8
Bertil Matérn, Spatial variation : Stochastic models and their application to some problems in forest surveys and other sampling investigations Meddelanden fran Statens Skogsforskningsinstitut. ,vol. 49, pp. 5144- ,(1960)
JEAN D. OPSOMER, MARIO FRANCISCO-FERNÁNDEZ, XIAOXI LI, Model-Based Non-parametric Variance Estimation for Systematic Sampling Scandinavian Journal of Statistics. ,vol. 39, pp. 528- 542 ,(2012) , 10.1111/J.1467-9469.2011.00773.X
Javier Gallego, Jacques Delincé, The European Land Use and Cover Area‐Frame Statistical Survey Agricultural Survey Methods. pp. 149- 168 ,(2010) , 10.1002/9780470665480.CH10
Marcello D’Orazio, Estimating the variance of the sample mean in two-dimensional systematic sampling Journal of Agricultural Biological and Environmental Statistics. ,vol. 8, pp. 280- 295 ,(2003) , 10.1198/1085711032174
Kirk M. Wolter, An Investigation of Some Estimators of Variance for Systematic Sampling Journal of the American Statistical Association. ,vol. 79, pp. 781- 790 ,(1984) , 10.1080/01621459.1984.10477095
D.J.J. Walvoort, D.J. Brus, J.J. de Gruijter, An R package for spatial coverage sampling and random sampling from compact geographical strata by k-means Computers & Geosciences. ,vol. 36, pp. 1261- 1267 ,(2010) , 10.1016/J.CAGEO.2010.04.005
W.E Dramstad, W.J Fjellstad, G.-H Strand, H.F Mathiesen, G Engan, J.N Stokland, Development and implementation of the Norwegian monitoring programme for agricultural landscapes Journal of Environmental Management. ,vol. 64, pp. 49- 63 ,(2002) , 10.1006/JEMA.2001.0503
Linda Aune-Lundberg, Geir-Harald Strand, Comparison of variance estimation methods for use with two-dimensional systematic sampling of land use/land cover data Environmental Modelling and Software. ,vol. 61, pp. 87- 97 ,(2014) , 10.1016/J.ENVSOFT.2014.07.001