Double sampling for stratification in periodic inventories—Infinite population approach

Saborowski, Joachim; Marx, Almuth; Nagel, Jürgen G.; Böckmann, Thomas

doi:10.1016/j.foreco.2010.08.035

Cited by 25 publications

(29 citation statements)

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“…2 shows an unbiased estimator for the variance of this sampling procedure under the infinite population approach (Saborowski et al 2010), where s 2 h is the estimator for the within-stratum variance of the target variable (Eq. 3) and m h ¼ n h =n 0 h the proportion of terrestrial sample points per stratum.…”

Section: Double Sampling For Stratificationmentioning

confidence: 99%

“…11. terrestrial sampling at the first occasion (n 1 = 3, n 2 = 4) 3rd phase: terrestrial sampling at the second occasion (n 1 *= 2, n 2 *= 2) Fig. 2 Sampling procedure of the three-phase design ten years according to a 2st design (Böckmann et al 1998;Saborowski et al 2010). In the first phase of this sampling procedure, sample points are located in a 100 m 9 100 m grid, and CIR aerial images are used to assess stand age and type at these points.…”

Section: Double Sampling For Stratificationmentioning

confidence: 99%

“…This is a well-known, widely used and efficient method (Cochran 1977;de Vries 1986;Schreuder et al 1993;Köhl 1994;Särndal et al 2003;Gregoire and Valentine 2008;Mandallaz 2008), which has recently been studied under the infinite population approach (Saborowski et al 2010). Scott and Köhl (1994) extended 2st by sampling with partial replacement (SPR).…”

Section: Introductionmentioning

confidence: 99%

“…After the stratification, within-strata subsamples of the first-phase units are inventoried; in forest inventories, it is common to do this with terrestrial sampling. Even though the costs of this sampling procedure are relatively low in comparison with other methods (Brassel and Köhl 2001;Saborowski et al 2010), a further cost reduction is desirable.…”

Section: Introductionmentioning

confidence: 99%

“…Saborowski et al (2010) showed how 2st-sampling can be applied in periodic inventories with optimised allocation of second-phase units. In periodic inventories, one may be willing to accept a slight loss of precision regularly on every second occasion, or at least temporarily on one occasion in times of small budgets, if that is accompanied by a remarkable cost reduction.…”

Section: Introductionmentioning

confidence: 99%

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A three-phase sampling procedure for continuous forest inventory with partial re-measurement and updating of terrestrial sample plots

2012

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For a current inventory using double sampling for stratification with a reduced second-phase sample size, compared with a previous inventory, we develop a threephase sampling procedure that exploits plot data from the previous inventory or their updates based on a growth model to increase precision. The three-phase procedure combines double sampling for stratification with a twophase regression estimator within strata. We consider sampling from an infinite population in the first phase. The combined estimator is tested in a case study using data from two consecutive inventories in four State Forest Districts in Lower Saxony, Germany. Data from a reduced number of sample plots from the second occasion are combined with (1) volumes from the first occasion or (2) growth simulations on the sample plots from the first occasion. The data from the previous inventory or their updates serve as the auxiliary variable for the regression estimator of the strata means of the target variable. This case study indicates a remarkable increase in precision and thereby an enormous cost-saving potential for reduced intermediate inventories in a periodic inventory design with both types of auxiliary variables.

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Section: Double Sampling For Stratificationmentioning

confidence: 99%

Section: Double Sampling For Stratificationmentioning

confidence: 99%