Sampling Theory: For the Ecological and Natural Resource Sciences

Sampling theory considers how methods for selection of a subset of units from a finite population (a sample) affect the accuracy of estimates of descriptive population parameters (mean, total, proportion). Although a sound knowledge of sampling theory principles would seem essential for ecologists and natural resource scientists, the subject tends to be somewhat overlooked in contrast to other core statistical topics such as regression analysis, experimental design, and multivariate statistics. This introductory text aims to redress this imbalance by specifically targeting ecologists and resource scientists, and illustrating how sampling theory can be applied in a wide variety of resource contexts. The emphasis throughout is on design-based sampling from finite populations, but some attention is given to model-based prediction and sampling from infinite populations.l Sampling Theory is an introductory textbook suitable for advanced undergraduates, graduate students, professional researchers, and practitioners in the fields of ecology, evolution, conservation biology, and natural resource sciences (including fisheries, wildlife, rangeland, ecology and forestry).

Table of Contents:
1: Introduction 2: Basic concepts 3: Equal probability sampling 4: Systematic sampling 5: Stratified sampling 6: Single-stage cluster sampling: Clusters of equal size 7: Ratio and regression estimation 8: Unequal probability sampling 9: Multi-stage sampling 10: Multi-phase sampling 11: Adaptive sampling 12: Spatially balanced sampling 13: Sampling through time 14: Appendix: Mathematical Foundations

About the Author :
David G. Hankin is a quantitative fisheries scientist who held a faculty position in the Department of Fisheries Biology at Humboldt State University (HSU) from 1978-2014. He holds a PhD in Fisheries Science from Cornell University. Over his long academic career at HSU, he taught introductory courses on fish population dynamics and sampling theory to audiences of senior and MS-level graduate students from natural resource and biological sciences. His fisheries research has focused on population dynamics and management of commercially important species, specifically Dungeness crab and Chinook salmon, with a special interest in life history and fishery inferences based on analysis of code wire tag recovery data. He has actively participated in the fishery management process, serving as a member of the Scientific and Statistical Committee of the Pacific Fisheries Management Council (1987-1992) and as a US member of the Committee on Scientific Cooperation (2001-2015). Michael S. Mohr is Supervisory Mathematical Statistician and Fisheries Assessment Program Leader for NOAA Fisheries, Southwest Fisheries Science Center, Fisheries Ecology Division, and a Research Fellow at the Institute of Marine Sciences, University of California, Santa Cruz. He holds a Bachelor of Arts degree in Mathematics and a Master of Science degree in Fisheries Science from Humboldt State University and received post-graduate training in Statistics at the University of California, Berkeley. He has over 30 years of experience in quantitative population assessment, applying sampling theory to resource management problems, and developing statistical methods and estimators. Ken B. Newman is principal researcher in statistical methodology for Biomathematics & Statistics Scotland and reader in the School of Mathematics, University of Edinburgh. He has a PhD in statistics from the University of Washington. From 1993 through 2003 he was on the faculty of the Division of Statistics at the University of Idaho and then moved to the University of St Andrews as a senior lecturer with a joint appointment in the Centre for Ecological and Environmental Modelling. Between 2006 and 2017, he was a mathematical statistician for the US Fish and Wildlife Service where he developed sampling designs for aquatic species and methods for estimating fish abundances and modeling fish population dynamics. His current position includes developing and applying statistical methods for agricultural and environmental processes as well as teaching Bayesian statistics.

Review :
I echo what the authors identified as a general lack of formal training into sampling theory. Sampling Theory has filled a gap in my lack of knowledge surrounding certain designs and analytical concepts, so this book should also be a good resource for applied ecologists and researchers, and as the primary text in a graduate-level course on sampling design. A good introduction to a difficult subject . . . The volume is easy to read if one can handle the mathematics and statistical theory required. There are many interesting examples (I especially like the one about hunting mushrooms) to motivate readers. Many exercises are also given at the end of most chapters.