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E-grāmata: Sampling Techniques for Forest Inventories

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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 HorvitzThompson 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.

Recenzijas

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 texts 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 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 texts 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 xi
Acknowledgments xv
Introduction and terminology
1(2)
Sampling finite populations: the essentials
3(28)
Sampling schemes and inclusion probabilities
3(1)
The Horvitz-Thompson estimator
4(4)
Simple random sampling without replacement
8(2)
Poisson sampling
10(1)
Unequal probability sampling with replacement
11(1)
Estimation of ratios
12(4)
Stratification and post-stratification
16(3)
Two-stage sampling
19(4)
Single-stage cluster-sampling
23(4)
Systematic sampling
27(1)
Exercises
27(4)
Sampling finite populations: advanced topics
31(22)
Three-stage element sampling
31(7)
Abstract nonsense and elephants
38(2)
Model-assisted estimation procedures
40(10)
Exercises
50(3)
Forest Inventory: one-phase sampling schemes
53(26)
Generalities
53(2)
One-phase one-stage simple random sampling scheme
55(10)
One-phase one-stage cluster random sampling scheme
65(4)
One-phase two-stage simple random sampling
69(4)
One-phase two-stage cluster random sampling
73(2)
Exercises
75(4)
Forest Inventory: two-phase sampling schemes
79(18)
Two-phase one-stage simple random sampling
79(2)
Two-phase two-stage simple random sampling
81(5)
Two-phase one-stage cluster random sampling
86(1)
Two-phase two-stage cluster random sampling
87(2)
Internal linear models in two-phase sampling
89(3)
Remarks on systematic sampling
92(2)
Exercises
94(3)
Forest Inventory: advanced topics
97(38)
The model-dependent approach
97(12)
Model-assisted approach
109(10)
Small-area estimation
119(2)
Modeling relationships
121(13)
Exercises
134(1)
Geostatistics
135(12)
Variograms
135(3)
Ordinary Kriging
138(3)
Kriging with sampling error
141(1)
Double Kriging for two-phase sampling schemes
142(3)
Exercises
145(2)
Case Study
147(8)
Optimal sampling schemes for forest inventory
155(22)
Preliminaries
155(1)
Anticipated variance under the local Poisson model
156(3)
Optimal one-phase one-stage sampling schemes
159(2)
Discrete approximations of PPS
161(3)
Optimal one-phase two-stage sampling schemes
164(3)
Optimal two-phase sampling schemes
167(7)
Exercises
174(3)
The Swiss National Forest Inventory
177(8)
Estimating change and growth
185(10)
Exercises
194(1)
Transect-Sampling
195(16)
Generalities
195(1)
IUR transect-sampling
196(5)
PPL transect-sampling
201(4)
Transects with fixed length
205(1)
Buffon's needle problem
206(3)
Exercises
209(2)
Appendices
A Simulations
211(10)
Preliminaries
211(1)
Simple random sampling
211(2)
Systematic cluster sampling
213(1)
Two-phase simple systematic sampling
213(2)
Figures
215(6)
Conditional expectations and variances
221(4)
Solutions to selected exercises
225(22)
Chapter 2
225(4)
Chapter 3
229(1)
Chapter 4
230(4)
Chapter 5
234(1)
Chapter 6
234(2)
Chapter 7
236(1)
Chapter 9
237(6)
Chapter 11
243(1)
Chapter 12
244(3)
Bibliography 247(6)
Index 253


Mandallaz, Daniel