Sound forest management planning requires cost-efficient approaches to optimally utilize 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.
Table of Contents
Introduction and terminology
Sampling finite populations: the essentials
Sampling schemes and inclusion probabilities
The Horvitz–Thompson estimator
Simple random sampling without replacement
Unequal probability sampling with replacement
Estimation of ratios
Stratification and post-stratification
Sampling finite populations: advanced topics
Three-stage element sampling
Abstract nonsense and elephants
Model-assisted estimation procedures
Forest Inventory: one-phase sampling schemes
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
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
Forest Inventory: advanced topics
The model-dependent approach
Kriging with sampling error
Double Kriging for two-phase sampling schemes
Optimal sampling schemes for forest inventory
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
The Swiss National Forest Inventory
Estimating change and growth
IUR transect sampling
PPL transect sampling
Transects with fixed length
Buffon’s needle problem
APPENDIX A: Simulations
Simple random sampling
Systematic cluster sampling
Two-phase simple systematic sampling
APPENDIX B: Conditional expectations and variances
APPENDIX C: Solutions to selected exercises
…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