Abstract

In the assessment of natural resources, such as forests or grasslands, it is common to apply a two-stage cluster sampling design, the application of which in the field determines the following situations: (a) difficulty in locating secondary sampling units (SSUs) precisely as planned, so that a random pattern of SSUs can be identified; and (b) the possibility that some primary sampling units (PSUs) have fewer SSUs than planned, leading to PSUs of different sizes. In addition, when considering the estimated variance of the various potential estimators for two-stage cluster sampling, the part corresponding to the variation between SSUs tends to be small for large populations, so the estimator’s variance may depend only on the divergence between PSUs. Research on these aspects is incipient in grassland assessment, so this study generated an artificial population of 759 PSUs and examined the effect of six estimation methods, using 15 PSU sample sizes, on unbiased and relative sampling errors when estimating aboveground, belowground, and total biomass of halophytic grassland. The results indicated that methods 1, 2, 4, and 5 achieved unbiased biomass estimates regardless of sample size, while methods 3 and 6 led to slightly biased estimates. Methods 4 and 5 had relative sampling errors of less than 5% with a sample size of 140 when estimating total biomass.

Highlights

  • It is common to use statistical sampling for parameter estimation in natural resource assessment, such as mean, total, or proportion [1,2]

  • An immediate implication is that the values of the variables of interest are treated as fixed; the randomness in the estimators is only due to the random selection of the samples [6]

  • Considering that research on these aspects is incipient in grassland assessment, this study examined the effect of six estimation methods, using 15 primary sampling units (PSUs) sample sizes, on unbiased and relative sampling errors when estimating aboveground, belowground, and total biomass of halophytic grassland in Puebla, Mexico

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Summary

Introduction

It is common to use statistical sampling for parameter estimation in natural resource assessment, such as mean, total, or proportion [1,2]. There are two types of inference: design-based and model-based. In design-based inference, randomisation is used to select the population units to be measured; for statistical validity, estimators are constructed based on this randomisation [3,4,5]. An immediate implication is that the values of the variables of interest are treated as fixed; the randomness in the estimators is only due to the random selection of the samples [6]. The inference is based on the variance among all possible samples selected for the population with a given sampling design. The expected value and variance of the estimators are based on the random variation of the different estimates among all possible samples

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