Sound forest management planning requires cost-efficient approaches to optimally utilize the given resources. Emphasizing the mathematical and statistical features of forest sampling to assess classical dendrometrical quantities, Sampling Techniques for Forest Inventories presents the statistical concepts and tools needed to conduct a modern forest inventory.
The book first examines design-based survey sampling and inference for finite populations, covering inclusion probabilities and the Horvitz-Thompson estimator, followed by more advanced topics, including three-stage element sampling and the model-assisted estimation procedure. The author then develops the infinite population model/Monte Carlo approach for both simple and complex sampling schemes. He also uses a case study to reveal a variety of estimation procedures, relies on anticipated variance to tackle optimal design for forest inventories, and validates the resulting optimal schemes with data from the Swiss National Forest Inventory. The last chapters outline facts pertaining to the estimation of growth and introduce transect sampling based on the stereological approach. Containing many recent developments available for the first time in book form, this concise and up-to-date work provides the necessary theoretical and practical foundation to analyze and design forest inventories.
!the text is an excellent addition to the forest and natural resource inventory literature, and nicely compliments classic and contemporary texts focused broadly on applied concepts and tools but lacking in rigorous statistical treatment. ! this text is an important contribution to the literature, as it provides a unique, mathematically rigorous tour of classical and modern topics on forest sampling theory. Of particular importance is the text's emphasis on model-based methods, which are becoming increasingly important within forest and natural resources inventory. --The American Statistician, Vol. 63, No. 3, August 2009, and JASA, Winter 2008 !In this field, the author is a leading expert who presents the modern state of the art, in particular his own work of the last two decades. ! a valuable, up-to-date reference book for the theoretical aspects of forest inventories and sampling ! . --Dietrich Stoyan, Biometrical Journal, Vol. 51, 2009 This compact little volume is packed with important and useful ideas. --Donald E. Myers, University of Arizona, Technometrics, May 2009 This is an important reference for those wanting to understand the theory of sampling in forest inventory, and also for those with graduate- or postgraduate-level skills in statistics who apply these techniques in the forestry industry. Despite its length, the book provides reasonably thorough coverage of the theory of statistics applied to forest inventories. !a very useful, up-to-date reference book on the theory of statistics as it should be applied to forest inventory. --International Statistical Review, 2008
preface Introduction and terminology Sampling finite populations: the essentials Sampling schemes and inclusion probabilities The Horvitz--Thompson estimator Simple random sampling without replacement Poisson sampling Unequal probability sampling with replacement Estimation of ratios Stratification and post-stratification Two-stage sampling Single-stage cluster-sampling Systematic sampling Exercises Sampling finite populations: advanced topics Three-stage element sampling Abstract nonsense and elephants Model-assisted estimation procedures Exercises Forest Inventory: one-phase sampling schemes Generalities One-phase one-stage simple random sampling scheme One-phase one-stage cluster random sampling scheme One-phase two-stage simple random sampling One-phase two-stage cluster random sampling Exercises Forest Inventory: two-phase sampling schemes Two-phase one-stage simple random sampling Two-phase two-stage simple random sampling Two-phase one-stage cluster random sampling Two-phase two-stage cluster random sampling Internal linear models in two-phase sampling Remarks on systematic sampling Exercises Forest Inventory: advanced topics The model-dependent approach Model-assisted approach Small-area estimation Modeling relationships Exercises Geostatistics Variograms Ordinary Kriging Kriging with sampling error Double Kriging for two-phase sampling schemes Exercises CASE STUDY Optimal sampling schemes for forest inventory Preliminaries Anticipated variance under the local Poisson model Optimal one-phase one-stage sampling schemes Discrete approximations of PPS Optimal one-phase two-stage sampling schemes Optimal two-phase sampling schemes Exercises The Swiss National Forest Inventory Estimating change and growth Exercises Transect Sampling Generalities IUR transect sampling PPL transect sampling Transects with fixed length Buffon's needle problem Exercises APPENDIX A: Simulations Preliminaries Simple random sampling Systematic cluster sampling Two-phase simple systematic sampling Figures APPENDIX B: Conditional expectations and variances APPENDIX C: Solutions to selected exercises Bibliography INDEX
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ETH Zurich, Department of Environmental Sciences