Unbiased emission factor estimators for large scale forest inventories: domain assessment techniques

Large scale forest inventories are often undertaken following a stratified random or systematic design. Yet the strata rarely correspond to the reporting areas of interest (domains) over which the country wants to report specific variables. The process is exemplified by a country aiming to use national forest inventory data to obtain average biomass estimates per forest type for GHGI international reporting, where activity data (areas of land use or land use changes) and emission factors (carbon coefficients) are typically compiled from disparate sources and estimated using different sampling schemes. This study aims to provide a decision tree for the use of data obtained from forest surveys to draw conclusions about population sub-groups created after (and independently of) the sample selection. While bias can arise whenever activity data and emission factors are calculated independently, it can be eliminated in case of a simple random or simple systematic design if properly weighted estimators are provided. This manuscript describes two unbiased estimators that can be used to estimate reporting-strata means, regardless of the sampling design adopted, and extends the result to the common situation in which the reporting-strata are spatially explicit, where a nested group estimator outperforms in terms of both bias and precision other more traditional estimators. From this estimator, an optimal sample allocation scheme is also derived.