Abstract
To evaluate the efficiencies of different sampling methods for a rare and clustered population, we investigated the sampling effects for the two species Tamarix chinensis (Salt cedar) and Elaeagnus angustifolia (Russian olive) in western Inner Mongolia with two-stage sequential sampling, which is a new sampling method, traditional simple random sampling and two-stage sampling. Based on two-stage sequential sampling and two-stage sampling, each population was partitioned into four primary sampling units, and then two of them were randomly selected. Sampling designs were simulated based on the conditions of five secondary sampling unit areas, two criterion values, five initial secondary sampling units and two sequential secondary sampling units in 1000 repetitions. To evaluate the performance of the sampling designs for each method, the variance and relative error of the density estimates were used. The relative sampling efficiencies of the three sampling methods were compared using the same final sampling sizes. We analyzed the sampling efficiency generated by two-stage sequential sampling and found that it yielded smaller variances than those of simple random sampling and two-stage sampling in all sampling designs, and that two-stage sampling was more efficient than simple random sampling. Density estimates from the two-stage sequential sampling were very close to the true values. We also determined the optimum secondary sampling unit areas for the two species in the two-stage sequential sampling. It was best for Tamarix chinensis and Elaeagnus angustifolia when the secondary sampling unit areas were 200 and 100 m2, respectively.
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References
Brown J A. The application of adaptive cluster sampling to ecological studies. In: Fletcher D J, Manly B F J, eds. Statistics in Ecology and Environmental Monitoring. Dunedin: University of Otego Press, 1994. 86–97
Philippi T. Adaptive cluster sampling for estimation of abundances within local populations of low-abundance plants. Ecology, 2005, 86: 1091–1100
Roesch F A Jr. Adaptive cluster sampling for forest inventories. For Sci, 1993, 39: 655–669
Smith D R, Conroy M J, Brakhage D H. Efficiency of adaptive cluster sampling for estimating density of Wintering Waterfowl. Biometrics, 1995, 51: 777–788
Magnussen S, Kurz W, Leckie D G, et al. Adaptive cluster sampling for estimation of deforestation rates. Eur J For Res, 2005, 124: 207–220
Shi J J, Lei Y C, Zhao T Z. Comparison between adaptive cluster sampling and simple random sampling: A case study of coastal Bruguiert gymnorrhiza (in Chinese). J Northeast For Univ, 2011, 39: 105–106
Salehi M M. Rao-Blackwell versions of the Horvitz-Thompson and Hansen-Hurwitz in adaptive cluster sampling. Environ Ecol, 1999, 6: 183–195
Salehi M M, Smith D R. Two-stage sequential sampling: A neighborhood-free adaptive sampling procedure. J Agric Biol Environ Stat, 2005, 10: 84–103
Salehi M, Moradi M, Brown J A, et al. Efficient estimators for adaptive stratified sequential sampling. J Stat Comput Simul, 2010, 80: 1163–1179
Brown J A, Salehi M M, Moradi M, et al. An adaptive two-stage sequential design for sampling rare and clustered populations. Soc Ecol Popul Springer, 2008, 50: 239–245
Murthy M N. Ordered and unordered estimators in sampling without replacement. Sankhya, 1957, 18: 379–390
Brown J A. Designing an efficient adaptive cluster sample. Environ Ecol Stat, 2003, 10: 95–105
Morrison L W, Smith D R, Young C C, et al. Evaluating sampling designs by computer simulation: A case study with the Missouri bladderpod. Popul Ecol, 2008, 50: 417–425
Song X M. Sampling Techniques (in Chinese). Beijing: China Forestry Publishing House, 1995
Thompson S K, Seber G A F. Adaptive Sampling. New York: Wiley, 1996
Christman M C, Lan F. Inverse adaptive cluster sampling. Biometrics, 2001, 57: 1096–1105
Rocco E. Constrained inverse adaptive cluster sampling. J Off Stat, 2003, 19: 45–57
Brown J A, Manly B J F. Restricted adaptive cluster sampling. Environ Ecol Stat, 1998, 5: 49–63
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Shi, J., Zhao, T. & Lei, Y. Two-stage sequential sampling for two rare species in western Inner Mongolia of China. Chin. Sci. Bull. 58, 507–516 (2013). https://doi.org/10.1007/s11434-012-5308-7
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DOI: https://doi.org/10.1007/s11434-012-5308-7