EnErgy and thE EnvironmEnt SerieS editor abbas ghassemi New Mexico State University PUbliShed titleS Forest-Based Biomass Energy : Concepts and applications Frank r. Spellman introduction to renewable Energy Vaughn Nelson geothermal Energy: renewable Energy and the Environment William e. Glassley Solar Energy: renewable Energy and the Environment robert Foster, Majid Ghassemi, Alma Cota Jeanette Moore, Vaughn Nelson Wind Energy: renewable Energy and the Environment Vaughn Nelson Frank R. 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SD387.B48S69 2011 333.95’39--dc23 2011025401 Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com For Lynn Eubanks Contents Series Preface ...............................................................................................................................xix Series Editor ...............................................................................................................................xxiii Preface ..........................................................................................................................................xxv Author ........................................................................................................................................xxvii Prologue: May I Borrow a Light? ............................................................................................xxix Section I The Basics 1. Introduction .............................................................................................................................3 From Caveman to the Greatest to the Grasshopper Generation .......................................3 World Energy Supplies: Current Status ................................................................................4 Bioenergy to Feed the Grasshopper ......................................................................................6 Chapter Review Question .......................................................................................................7 References and Recommended Reading ..............................................................................7 2. Basic Math Operations ..........................................................................................................9 Introduction ..............................................................................................................................9 Basic Math Terminology and Definitions ............................................................................9 Sequence of Operations ........................................................................................................11 Rules ....................................................................................................................................11 Examples ............................................................................................................................11 Rounding and Significant Digits .........................................................................................14 Rounding Numbers ..........................................................................................................14 Determining Significant Figures ....................................................................................15 Powers and Exponents ..........................................................................................................15 Solving for the Unknown .....................................................................................................17 Equations ............................................................................................................................17 Axioms ................................................................................................................................18 Solving Equations .............................................................................................................18 Checking the Answer .......................................................................................................20 Setting up Equations ........................................................................................................20 Dimensional Analysis ...........................................................................................................21 Basic Operation: Horizontal to Vertical .........................................................................22 Basic Operation: Divide by a Fraction ............................................................................22 Basic Operation: Cancel or Divide Numerators and Denominators .........................22 Chapter Review Questions ...................................................................................................25 3. Units of Measurement and Conversions ..........................................................................27 Introduction ............................................................................................................................27 Symbols and Abbreviations .................................................................................................27 SI Unit Rules and Style Conventions ..............................................................................28 Scales of Measurement ..........................................................................................................30 Units of Measurement ...........................................................................................................31 vii viii Contents Conversion Factors .................................................................................................................31 General Conversions .........................................................................................................33 Weight, Concentration, and Flow ...................................................................................34 Woody Biomass Utilization Conversion Factors ..........................................................34 Forest Fuel/Biomass Conversion Factors.......................................................................35 Conversion Examples .......................................................................................................37 Temperature Conversions ................................................................................................41 Specific Gravity and Density ................................................................................................42 Flow..........................................................................................................................................43 Horsepower and Energy Costs ............................................................................................44 Water Horsepower ............................................................................................................45 Brake Horsepower ............................................................................................................45 Motor Horsepower ............................................................................................................46 Electrical Power ......................................................................................................................46 Fundamental Measurements ...............................................................................................47 Linear Measurements .......................................................................................................47 Time Measurements .........................................................................................................48 Perimeter and Circumference Measurements ..............................................................48 Perimeter .......................................................................................................................48 Circumference ..............................................................................................................49 Area Measurements ..........................................................................................................50 Area of a Rectangle ......................................................................................................50 Area of a Circle .............................................................................................................51 Area of a Circular or Cylindrical Tank .....................................................................52 Volume ................................................................................................................................52 Volume of a Rectangular Basin ..................................................................................53 Volume of Round Pipe and Round Surface Areas ..................................................53 Crown Volume ..............................................................................................................54 Volume of a Cone .........................................................................................................54 Volume of a Sphere ......................................................................................................55 Volume of a Circular or Cylindrical Tank ................................................................55 Weight Measurements ......................................................................................................56 Chapter Review Questions ...................................................................................................56 References and Recommended Reading ............................................................................57 4. Statistics ..................................................................................................................................59 Statistical Concepts ................................................................................................................59 Precision, Accuracy, and Bias ...............................................................................................59 Measure of Central Tendency .........................................................................................60 Basic Statistical Terms ......................................................................................................61 Frequency Distributions .......................................................................................................63 Normal Distribution .........................................................................................................65 Statistical Computations .......................................................................................................67 Mean ...................................................................................................................................67 Median ................................................................................................................................67 Mode ...................................................................................................................................68 Range (Spread of Data) .....................................................................................................68 Variance ..............................................................................................................................68 Standard Deviation ...........................................................................................................69 Contents ix Statistical Inference ................................................................................................................70 Chapter Review Questions ...................................................................................................72 References and Suggested Reading.....................................................................................72 5. Forest-Based Biomass: Heat Energy, Weight Considerations, and Estimations ......73 Introduction ............................................................................................................................73 Lower and Higher Heating Values ......................................................................................73 Effect of Fuel Moisture on Wood Heat Content ................................................................74 Moisture Content Wet- and Dry-Weight Basis Calculations ......................................75 Forestry Volume Unit to Biomass Weight Considerations ...............................................75 Estimation of Biomass Weights from Forestry Volume Data .....................................76 Biomass Expansion Factors..............................................................................................77 Stand-Level Biomass Estimation .........................................................................................77 Biomass Equations .................................................................................................................78 Key to Abbreviations Used in Biomass Equations .......................................................79 Tree Species/Biomass Example Equations ....................................................................79 Chapter Review Questions ...................................................................................................81 References and Recommended Reading ............................................................................81 6. Forest Biomass Sampling ....................................................................................................83 Introduction ............................................................................................................................83 Terms and Concepts ..............................................................................................................84 Simple Random Sampling ....................................................................................................85 Introduction to Simple Random Sampling ...................................................................86 Sample Selection................................................................................................................86 Estimates ............................................................................................................................86 Standard Errors .................................................................................................................87 Sampling with Replacement ............................................................................................88 Confidence Limits for Large Samples ............................................................................88 Confidence Limits for Small Samples ............................................................................89 Size of Sample ....................................................................................................................89 Effect of Plot Size on Variance .........................................................................................92 Stratified Random Sampling ................................................................................................93 Estimates ............................................................................................................................94 Standard Errors .................................................................................................................95 Estimation of Number of Sampling Units .....................................................................97 Proportional Allocation ...............................................................................................97 Optimum Allocation ....................................................................................................97 Optimum Allocation with Varying Sampling Costs ...................................................98 Sample Size in Stratified Random Sampling ................................................................99 Regression Estimation .........................................................................................................101 Standard Error .................................................................................................................103 Family of Regression Estimators ..................................................................................103 Ratio Estimation ..............................................................................................................104 Mean-of-Ratios Estimator ..............................................................................................106 Double Sampling..................................................................................................................107 Sampling Protocols and Vegetation Attributes ...............................................................109 x Contents Vegetation Attributes ......................................................................................................110 Frequency ....................................................................................................................110 Cover ............................................................................................................................111 Density .........................................................................................................................112 Biomass (Production) .................................................................................................113 Structure ......................................................................................................................114 Composition ................................................................................................................114 Matrix of Monitoring Techniques and Vegetation Attributes ..................................115 Pace Frequency, Quadrat Frequency, and Nested Frequency ..................................115 Advantages and Disadvantages ...............................................................................116 Dry-Weight Rank Method .............................................................................................116 Advantages and Disadvantages ...............................................................................116 Daubenmire Method ......................................................................................................117 Advantages and Disadvantages ...............................................................................117 Line Intercept Method ....................................................................................................117 Advantages and Disadvantages ...............................................................................117 Step-Point Method ..........................................................................................................117 Advantages and Limitations ....................................................................................118 Point Intercept Method: Sighting Devices, Pin Frames, and Point Frames ............118 Advantages and Limitations ....................................................................................118 Cover Board Method ......................................................................................................119 Advantages and Disadvantages ...............................................................................119 Density Method ...............................................................................................................119 Advantages and Disadvantages ...............................................................................119 Double-Weight Sampling ...............................................................................................120 Advantages and Limitations ....................................................................................120 Harvest Method ..............................................................................................................121 Advantages and Limitations ....................................................................................121 Comparative Yield Method ...........................................................................................121 Advantages and Limitations ....................................................................................121 Visual Obstruction Method (Robel Pole) .....................................................................122 Advantages and Disadvantages ...............................................................................122 Modified FIREMON Sampling Procedures .....................................................................122 Tree Data (TD) Sampling Method .....................................................................................124 Sampling Procedure .......................................................................................................126 TD Data Form Recordings ........................................................................................126 Plot Size Selection .......................................................................................................127 Macroplot Area ...........................................................................................................127 Subplot Area................................................................................................................128 Snag Plot Area ............................................................................................................128 Breakpoint Diameter .................................................................................................129 Preliminary Sampling Tasks .........................................................................................129 Sampling Tasks ................................................................................................................131 Define Macroplot Boundary .....................................................................................131 Define Initial Sample Position ..................................................................................131 Sampling Seedlings ...................................................................................................132 Saplings and Mature Trees .......................................................................................132 Measuring DBH ..........................................................................................................133 Contents xi Sampling Saplings ......................................................................................................134 Sampling Mature Trees .............................................................................................135 Sampling Snags ..........................................................................................................141 Precision Standards ........................................................................................................142 Fuel Load (FL) Sampling Method ......................................................................................142 Introduction .....................................................................................................................142 Sampling Procedure .......................................................................................................145 Preliminary Sampling Tasks ....................................................................................145 Determining Piece Size .............................................................................................146 Modifying FL Sampling ............................................................................................147 Laying Out the Measuring Tape ..............................................................................148 Determining the Slope of the Measuring Tape ......................................................149 What Is Woody, Dead, or Down Debris? ................................................................150 DWD Sampling Distances ........................................................................................150 Sampling FWD ...........................................................................................................151 Sampling CWD ...........................................................................................................151 What Are Duff, Litter, and the Duff/Litter Profile? ..............................................152 Sampling Duff and Litter ..........................................................................................152 What Is Woody and Nonwoody Vegetation? .........................................................153 Sampling Vegetation Cover and Height .................................................................154 Finishing Tasks ...........................................................................................................155 Successive Sampling Planes ......................................................................................155 Determining the Number of Sampling Planes ......................................................156 Resampling FL Plots ..................................................................................................158 What If … ....................................................................................................................158 Precision Standards ...................................................................................................158 Sampling Design Customization: Optional Fields .....................................................158 Line Intercept (LI) Sampling Method ...............................................................................159 Sampling Procedure .......................................................................................................161 Preliminary Sampling Tasks ....................................................................................161 Designing the LI Sampling Method ........................................................................162 Conducting LI Sampling Tasks ................................................................................162 Line Intercept Sampling ............................................................................................163 Precision Standards ...................................................................................................166 Sampling Design Customization ..................................................................................166 User-Specific LI Sampling Design ...........................................................................166 Sampling Hints and Techniques ..............................................................................167 Rare Species (RS) Sampling Method .................................................................................168 Sampling Procedure .......................................................................................................168 Preliminary Sampling Tasks ....................................................................................168 Designing the RS Sampling Method .......................................................................169 Conducting RS Sampling Tasks ...............................................................................170 Rare Species Sampling ..............................................................................................171 Precision Standards ...................................................................................................172 Sampling Design Customization ..................................................................................172 User-Specific RS Sampling Design for Forest Biomass Applications .................172 Sampling Hints and Techniques ..............................................................................173 Point Intercept (PO) Sampling Method ............................................................................173
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