Combining double sampling for stratification and cluster sampling to a three-level sampling design for continuous forest inventories. von Lüpke, N. & Saborowski, J. European Journal of Forest Research, 133(1):89–100, 2014. Pdf doi abstract bibtex We extend the well-known double sampling for stratification sampling$\$nscheme by cluster subsampling to a three-level design and present$\$ncorresponding estimators based on the infinite population approach$\$nin the first phase. After stratification of the sample points (phase$\$nI), a second-phase sample is drawn independently among the first-phase$\$npoints within each stratum. On level III, clusters are formed of$\$nthose phase II points and a sample of clusters is finally drawn without$\$nreplacement. We used the forest planning units compartment and subdistrict$\$nas clusters and moreover formed clusters with a heuristic for the$\$nvehicle routing problem. The precision of the new estimator was compared$\$nto that achieved with classical double sampling for stratification$\$nin a case study. The results indicate that the expected increase$\$nin sampling errors caused by clustering cannot be compensated by$\$nthe reduced inventory costs under the conditions given in the case$\$nstudy.
@Article{VonLupke2014,
author = {von L{\"{u}}pke, Nikolas and Saborowski, Joachim},
title = {{Combining double sampling for stratification and cluster sampling to a three-level sampling design for continuous forest inventories}},
journal = {European Journal of Forest Research},
year = {2014},
volume = {133},
number = {1},
pages = {89--100},
issn = {16124669},
url_pdf = {http://uni-goettingen.de/de/document/download/c5c6f0125f23977b2fcd67b18c2056bc.pdf/2014_EJFR_vLuepkeSab.pdf},
abstract = {We extend the well-known double sampling for stratification sampling$\backslash$nscheme by cluster subsampling to a three-level design and present$\backslash$ncorresponding estimators based on the infinite population approach$\backslash$nin the first phase. After stratification of the sample points (phase$\backslash$nI), a second-phase sample is drawn independently among the first-phase$\backslash$npoints within each stratum. On level III, clusters are formed of$\backslash$nthose phase II points and a sample of clusters is finally drawn without$\backslash$nreplacement. We used the forest planning units compartment and subdistrict$\backslash$nas clusters and moreover formed clusters with a heuristic for the$\backslash$nvehicle routing problem. The precision of the new estimator was compared$\backslash$nto that achieved with classical double sampling for stratification$\backslash$nin a case study. The results indicate that the expected increase$\backslash$nin sampling errors caused by clustering cannot be compensated by$\backslash$nthe reduced inventory costs under the conditions given in the case$\backslash$nstudy.},
comment = {public},
doi = {10.1007/s10342-013-0743-9},
keywords = {Cluster sampling,Continuous forest inventory,Double sampling for stratification,Infinite population approach},
}
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The results indicate that the expected increase$\\$nin sampling errors caused by clustering cannot be compensated by$\\$nthe reduced inventory costs under the conditions given in the case$\\$nstudy.","comment":"public","doi":"10.1007/s10342-013-0743-9","keywords":"Cluster sampling,Continuous forest inventory,Double sampling for stratification,Infinite population approach","bibtex":"@Article{VonLupke2014,\r\n author = {von L{\\\"{u}}pke, Nikolas and Saborowski, Joachim},\r\n title = {{Combining double sampling for stratification and cluster sampling to a three-level sampling design for continuous forest inventories}},\r\n journal = {European Journal of Forest Research},\r\n year = {2014},\r\n volume = {133},\r\n number = {1},\r\n pages = {89--100},\r\n issn = {16124669},\r\n url_pdf = {http://uni-goettingen.de/de/document/download/c5c6f0125f23977b2fcd67b18c2056bc.pdf/2014_EJFR_vLuepkeSab.pdf},\r\n abstract = {We extend the well-known double sampling for stratification sampling$\\backslash$nscheme by cluster subsampling to a three-level design and present$\\backslash$ncorresponding estimators based on the infinite population approach$\\backslash$nin the first phase. After stratification of the sample points (phase$\\backslash$nI), a second-phase sample is drawn independently among the first-phase$\\backslash$npoints within each stratum. On level III, clusters are formed of$\\backslash$nthose phase II points and a sample of clusters is finally drawn without$\\backslash$nreplacement. We used the forest planning units compartment and subdistrict$\\backslash$nas clusters and moreover formed clusters with a heuristic for the$\\backslash$nvehicle routing problem. The precision of the new estimator was compared$\\backslash$nto that achieved with classical double sampling for stratification$\\backslash$nin a case study. 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