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Table 5 Estimated variances with a systematic sample size of n = 100 in trend-less populations with autocorrelation, scaled sizes (N), and scaled expected number of site polygons (n(sT), T = 1, 2, 3). All results are based on 30 realizations of a superpopulation, and all or a maximum of 2000 random selections of all possible samples under a systematic sampling design. The standard deviation \( \left(\hat{\sigma}\right) \) across realizations is indicated \( \left(\pm \hat{\sigma}\right) \). Relative variances with DES fixed at 100 are in parentheses

From: Comparison of estimators of variance for forest inventories with systematic sampling - results from artificial populations

NArraydn (s1)n (s2)n (s3)Variance ×102
DESSRSMATSDRDOR
57,600240 × 24024961260.73 ± 0.10 (100)1.00 ± 0.13 (137)0.73 ± 0.22 (100)0.79 ± 0.22 (107)0.76 ± 0.13 (104)
230,400480 × 48048961260.69 ± 0.08 (100)1.00 ± 0.12 (145)0.74 ± 0.22 (107)0.79 ± 0.22 (114)0.76 ± 0.12 (111)
19224120.70 ± 0.08 (100)1.00 ± 0.13 (143)0.76 ± 0.22 (108)0.81 ± 0.22 (115)0.78 ± 0.11 (112)
921,600960 × 96096961260.73 ± 0.08 (100)1.00 ± 0.12 (136)0.76 ± 0.22 (104)0.80 ± 0.23 (110)0.78 ± 0.12 (106)
38448240.71 ± 0.08 (100)1.00 ± 0.13 (141)0.81 ± 0.23 (114)0.87 ± 0.23 (122)0.83 ± 0.11 (118)