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1 | (8) |
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1.1 Quantifying Forest Trees and Stands |
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1 | (1) |
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2 | (1) |
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1.3 Empirical Modeling of Forests |
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3 | (1) |
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1.4 Organization of Book Contents |
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4 | (1) |
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1.5 Abbreviations and Symbols Used |
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5 | (4) |
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7 | (2) |
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2 Tree Form and Stem Taper |
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9 | (34) |
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9 | (1) |
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10 | (14) |
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12 | (4) |
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2.2.2 Segmented Functions |
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16 | (4) |
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2.2.3 Variable-Exponent Functions |
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20 | (4) |
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2.3 Inclusion of Additional Predictor Variables |
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24 | (5) |
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25 | (1) |
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2.3.2 Site and Stand Variables |
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26 | (2) |
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2.3.3 Upper-Stem Diameters |
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28 | (1) |
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2.4 Compatible Prediction of Inside and Outside Bark Diameters |
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29 | (1) |
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2.5 Taper-Volume Compatible Functions |
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30 | (1) |
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2.6 Statistical Considerations |
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31 | (12) |
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31 | (1) |
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32 | (1) |
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2.6.3 Retransformation Bias |
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33 | (2) |
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2.6.4 Mixed-Effects Approach |
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35 | (3) |
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38 | (5) |
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3 Tree-Stem Volume Equations |
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43 | (22) |
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3.1 Developing Volume Equations |
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43 | (2) |
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3.2 Equations for Total Stem Volume |
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45 | (5) |
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3.2.1 Combined Variable Equations |
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45 | (3) |
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3.2.2 Logarithmic Volume Equations |
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48 | (2) |
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3.2.3 Honer Volume Equation |
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50 | (1) |
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3.3 Estimating Merchantable Stem Volume |
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50 | (9) |
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3.3.1 Volume Ratio Equations |
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51 | (3) |
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3.3.2 Deriving Taper Functions from Volume Equations |
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54 | (1) |
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3.3.3 Compatible Stem Volume and Taper Functions |
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55 | (4) |
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3.4 Inclusion of Variables in Addition to dbh and Total Height |
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59 | (1) |
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3.5 Volume Prediction for Irregular Stems |
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60 | (1) |
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3.6 Stem Quality Assessment and Prediction |
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61 | (4) |
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62 | (3) |
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4 Tree Weight and Biomass Estimation |
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65 | (20) |
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4.1 Estimating Green Weight of Stems |
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65 | (2) |
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4.2 Estimating Dry Weight of Stems |
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67 | (4) |
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71 | (14) |
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4.3.1 Models for Biomass Estimation |
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71 | (1) |
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4.3.2 Additivity of Linear Biomass Equations |
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72 | (3) |
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4.3.3 Additivity of Nonlinear Biomass Equations |
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75 | (3) |
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4.3.4 Inclusion of Additional Predictor Variables |
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78 | (1) |
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79 | (6) |
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5 Quantifying Tree Crowns |
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85 | (26) |
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5.1 Approximating Tree Crowns with Geometric Shapes |
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85 | (1) |
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5.2 Modeling Crown Profiles |
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86 | (7) |
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5.2.1 Incorporating Stochastic Variation |
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90 | (3) |
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5.2.2 Additional Techniques for Describing Tree Crowns |
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93 | (1) |
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5.3 Modeling Crown Morphology |
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93 | (7) |
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5.4 Tree Crowns and Growth |
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100 | (11) |
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5.4.1 Modeling Crown Ratio |
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101 | (5) |
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5.4.2 Crown Relationships for Open-Grown Trees |
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106 | (1) |
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106 | (5) |
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111 | (20) |
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111 | (1) |
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6.2 Empirical Versus Mechanistic or Theoretical Growth Functions |
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112 | (4) |
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6.3 Growth Functions of the Lundqvist-Korf Type |
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116 | (2) |
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6.3.1 Schumacher Function |
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116 | (1) |
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6.3.2 Lundqvist-Korf Function |
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116 | (2) |
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6.4 Growth Functions of the Richards Type |
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118 | (5) |
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6.4.1 Monomolecular Function |
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118 | (1) |
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6.4.2 Logistic and Generalized Logistic Functions |
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119 | (1) |
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120 | (1) |
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120 | (3) |
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6.5 Functions of the Hossfeld IV Type |
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123 | (4) |
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6.5.1 The Hossfeld IV Function |
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123 | (1) |
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6.5.2 McDill-Amateis/Hossfeld IV Function |
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124 | (2) |
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6.5.3 Generalizations of the Hossfeld IV Function |
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126 | (1) |
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6.6 Other Growth Functions |
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127 | (1) |
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6.7 Zeide Decomposition of Growth Functions |
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127 | (1) |
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6.8 Formulating Growth Functions Without Age Explicit |
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128 | (3) |
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129 | (2) |
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7 Evaluating Site Quality |
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131 | (44) |
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7.1 Need to Quantify Site Quality |
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131 | (1) |
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132 | (1) |
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7.3 Data Sources for Developing Site Index Curves |
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133 | (4) |
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133 | (1) |
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133 | (1) |
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134 | (3) |
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7.4 Fitting Site Index Guide Curves |
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137 | (3) |
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7.4.1 Comparisons of Stem-Analysis and Guide-Curve Based Site Index Equations |
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139 | (1) |
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7.5 Site Index Equations Using Age and Height at Index Age |
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140 | (1) |
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7.6 Segmented Models for Site Index Curves |
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141 | (1) |
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7.7 Differential Equation Approach |
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142 | (2) |
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7.8 Difference Equation Approach |
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144 | (13) |
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7.8.1 Algebraic Difference Approach |
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145 | (3) |
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7.8.2 Generalized Algebraic Difference Approach for Dynamic Site Equations |
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148 | (6) |
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7.8.3 Estimating Parameters in ADA- and GADA-Type Formulations |
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154 | (3) |
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7.9 Mixed-Effects Models for Height Prediction |
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157 | (6) |
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7.9.1 Varying Parameter Model |
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158 | (1) |
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7.9.2 Mixed-Effects Models with Multiple Random Components |
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159 | (1) |
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7.9.3 Accounting for Serial Correlation |
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160 | (1) |
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7.9.4 Calibration of Nonlinear Mixed-Effects Models |
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161 | (1) |
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7.9.5 Evaluation of Population-Averaged and Subject-Specific Predictions |
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161 | (2) |
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7.10 Comparison of Subject-Specific Approaches for Modeling Dominant Height |
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163 | (2) |
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7.11 Including Concomitant Information in Height-Age Models |
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165 | (1) |
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7.12 Effect of Stand Density on Height Growth |
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166 | (9) |
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167 | (8) |
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8 Quantifying Stand Density |
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175 | (26) |
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8.1 Stocking and Stand Density |
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175 | (2) |
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8.1.1 Trees Per Unit Area |
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176 | (1) |
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8.1.2 Basal Area Per Unit Area |
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176 | (1) |
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8.2 Size-Density Relationships |
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177 | (4) |
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8.2.1 Reineke's Stand Density Index |
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177 | (2) |
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8.2.2 3/2 Rule of Self-thinning |
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179 | (1) |
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180 | (1) |
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8.3 Methods for Fitting Maximum Size-Density Relationships |
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181 | (6) |
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181 | (1) |
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181 | (1) |
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8.3.3 Reduced Major Axis Regression |
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182 | (1) |
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182 | (2) |
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184 | (1) |
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8.3.6 Curvilinear Size-Density Boundaries |
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184 | (1) |
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8.3.7 Segmented Regression |
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185 | (2) |
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8.4 Applying Maximum Size-Density Concepts to Complex Stand Structures |
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187 | (1) |
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8.5 Incorporating Size-Density Relationships in Models of Stand Dynamics |
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188 | (2) |
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8.6 Other Proposed Measures of Stand Density |
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190 | (2) |
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190 | (1) |
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8.6.2 Crown Competition Factor |
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191 | (1) |
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8.7 Similarity of Stand Density Measures |
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192 | (1) |
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8.8 Efficacy of Various Stand Density Measures for Growth and Yield Prediction |
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193 | (3) |
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8.9 Evaluation of Concepts Underlying Stand Density Measures |
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196 | (5) |
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197 | (4) |
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9 Indices of Individual-Tree Competition |
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201 | (32) |
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9.1 Distance-Independent Indices |
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202 | (2) |
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9.2 Distance-Dependent Indices |
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204 | (20) |
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9.2.1 Selection of Competitors |
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204 | (3) |
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9.2.2 Formulation of the Competition Index |
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207 | (8) |
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9.2.3 Asymmetric/One-Sided Versions of the Competition Indices |
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215 | (3) |
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9.2.4 Interspecific Competition |
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218 | (1) |
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9.2.5 Clumping, Differentiation and Mingling |
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219 | (2) |
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9.2.6 Using Change in Competition Indices to Model Thinning Effects |
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221 | (1) |
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9.2.7 Edge Bias in Competition Indices Computation |
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222 | (1) |
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9.2.8 Modeling and Simulating the Spatial Pattern of Forest Stands |
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223 | (1) |
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9.3 Evaluation and Comparison of Competition Measures |
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224 | (9) |
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9.3.1 Simple Correlations with Tree Growth or Models with the Competition Index as the Unique Independent Variable |
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224 | (1) |
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9.3.2 Contribution of Competition Indices to Tree Growth Models in Which Tree Size and/or Stand Variables Are Already Included |
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225 | (3) |
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9.3.3 Distance-Independent Versus Distance-Dependent Competition Indices |
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228 | (1) |
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228 | (5) |
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10 Modeling Forest Stand Development |
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233 | (12) |
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10.1 Need for Stand Models |
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233 | (1) |
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10.2 Approaches to Modeling Forest Stands |
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234 | (3) |
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10.3 Prediction, Parsimony and Noise |
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237 | (1) |
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10.4 Level for Modeling Forest Stands |
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238 | (1) |
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10.5 Field Data for Growth and Yield Modeling |
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239 | (3) |
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242 | (3) |
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243 | (2) |
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11 Whole-Stand Models for Even-Aged Stands |
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245 | (16) |
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245 | (1) |
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11.2 Growth and Yield Relationships |
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246 | (1) |
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11.3 Variable-Density Growth and Yield Equations |
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247 | (2) |
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11.3.1 Schumacher-Type Equations |
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247 | (1) |
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11.3.2 Chapman-Richards Equations |
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248 | (1) |
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11.4 Compatible Growth and Yield Equations |
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249 | (4) |
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11.4.1 Analytic Compatibility |
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249 | (1) |
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11.4.2 Ensuring Numeric Consistency |
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250 | (3) |
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11.5 Growth Models Based on Annual Increments |
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253 | (1) |
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11.6 Simultaneous Systems of Growth and Yield Equations |
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253 | (2) |
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11.7 Mixed-Effects Models for Growth and Yield Prediction |
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255 | (1) |
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256 | (5) |
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258 | (3) |
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12 Diameter-Distribution Models for Even-Aged Stands |
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261 | (38) |
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12.1 Estimating Yields by Size Class Using a Distribution Function Approach |
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261 | (19) |
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12.1.1 Selecting a Distribution Function |
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262 | (2) |
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12.1.2 Characterizing Diameter Distributions Using Parameter Prediction |
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264 | (2) |
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12.1.3 Characterizing Diameter Distributions Using Parameter Recovery |
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266 | (7) |
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12.1.4 Evaluations of Alternative Distributions and Parameter Estimation Methods |
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273 | (4) |
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12.1.5 Characterizing Diameter Distributions of Mixed-Species Stands |
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277 | (1) |
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12.1.6 Bivariate Approach |
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278 | (2) |
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12.2 Modeling Height-Diameter Relationships |
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280 | (2) |
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12.3 Predicting Unit-Area Tree Survival |
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282 | (4) |
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12.4 Alternatives to the Distribution Function Approach |
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286 | (13) |
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12.4.1 Percentile-Based Distributions |
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286 | (3) |
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289 | (2) |
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12.4.3 Functional Regression Tree Method |
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291 | (1) |
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292 | (7) |
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13 Size-Class Models for Even-Aged Stands |
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299 | (12) |
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13.1 Defining Size Classes |
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299 | (1) |
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13.2 Stand-Table Projection |
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299 | (8) |
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13.2.1 Stand-Table Projection Based on Change in Relative Basal Area |
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300 | (1) |
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13.2.2 A Distribution-Independent Approach to Stand Table Projection |
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301 | (1) |
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13.2.3 Stand Table Projection Algorithms that Incorporate a Diameter Growth Function |
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302 | (5) |
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13.3 Percentile-Based Models |
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307 | (1) |
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308 | (3) |
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308 | (3) |
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14 Individual-Tree Models for Even-Aged Stands |
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311 | (28) |
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311 | (1) |
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14.2 Types of Individual-Tree Models |
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311 | (1) |
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312 | (1) |
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14.4 Distance-Dependent Models |
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312 | (5) |
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14.4.1 Example Model Structure for Pine Plantations |
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313 | (2) |
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14.4.2 A Model for Complex Stand Structures |
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315 | (2) |
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14.5 Generating Spatial Patterns |
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317 | (2) |
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14.6 Controlling Plot Edge Bias |
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319 | (1) |
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14.7 Distance-Independent Models |
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320 | (5) |
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14.7.1 Example Model for Pure, Even-Aged Stands |
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321 | (3) |
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14.7.2 A Distance-Independent Modeling Platform for Complex Stand Structures |
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324 | (1) |
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14.8 Annualized Growth Predictions from Periodic Measurements |
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325 | (1) |
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14.9 Simultaneous Estimation of Model Component Equations |
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326 | (2) |
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14.10 Incorporating Stochastic Components |
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328 | (1) |
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14.11 Relating Predictions from Whole-Stand |
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And Individual-Tree Models |
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329 | (1) |
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14.12 Comparisons of Growth and Yield Models with Varying Levels of Resolution |
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330 | (2) |
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14.13 Developing Growth and Yield Models with Consistency at Varying Levels of Resolution |
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332 | (7) |
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333 | (6) |
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15 Growth and Yield Models for Uneven-Aged Stands |
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339 | (24) |
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15.1 Special Considerations for Modeling Uneven-Aged Stands |
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339 | (1) |
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340 | (3) |
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15.2.1 Equations Based on Elapsed Time |
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340 | (1) |
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15.2.2 Whole-Stand Models with Stand-Table Information |
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341 | (2) |
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15.3 Diameter Distribution Approach |
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343 | (3) |
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346 | (11) |
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15.4.1 Stand-Table Projection Equations |
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346 | (1) |
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15.4.2 Matrix Model Approach |
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347 | (10) |
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15.5 Individual-Tree Models |
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357 | (6) |
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15.5.1 A Distance-Dependent Approach |
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357 | (1) |
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15.5.2 A Distance-Independent Model |
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358 | (2) |
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360 | (3) |
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16 Modeling Response to Silvicultural Treatments |
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363 | (42) |
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16.1 Need to Model Response to Silvicultural Treatments |
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363 | (1) |
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16.2 Modeling Response of Juvenile Stands |
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364 | (2) |
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16.3 Frameworks for Modeling Stand Level Response |
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366 | (2) |
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16.3.1 Response Functions |
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366 | (2) |
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16.3.2 Distributing Stand Growth Response to Individual Trees |
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368 | (1) |
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16.4 Modeling Response to Selected Silvicultural Treatments |
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368 | (37) |
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369 | (10) |
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16.4.2 Vegetation Control |
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379 | (6) |
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16.4.3 Fertilizer Applications |
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385 | (8) |
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16.4.4 Genetic Improvement |
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393 | (5) |
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398 | (7) |
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17 Modeling Wood Characteristics |
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405 | (24) |
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17.1 Need for Information on Wood Characteristics |
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405 | (1) |
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406 | (4) |
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17.2.1 Characteristics of Juvenile Wood |
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406 | (1) |
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17.2.2 Estimating Juvenile-Mature Wood Demarcation |
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407 | (3) |
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17.3 Importance of Specific Gravity |
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410 | (3) |
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17.3.1 Models for Estimating Wood Specific Gravity |
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410 | (2) |
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17.3.2 Impacts of Silviculture and Site on Specific Gravity |
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412 | (1) |
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17.3.3 Relating Specific Gravity to Pulp Yields and Mechanical Properties |
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412 | (1) |
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17.4 Modeling Ring Widths |
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413 | (2) |
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17.5 Modeling Branches and Knots |
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415 | (5) |
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17.5.1 Number, Size and Location of Branches |
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415 | (4) |
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419 | (1) |
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17.6 Incorporating Wood Quality Information into Growth and Yield Models |
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420 | (2) |
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17.7 Linking Growth and Yield Models with Sawing Simulators |
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422 | (7) |
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423 | (6) |
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18 Model Implementation and Evaluation |
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429 | (18) |
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18.1 Model Implementation in Forest Simulators |
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429 | (4) |
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430 | (2) |
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432 | (1) |
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433 | (11) |
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18.2.1 Theoretical Aspects of Model Building |
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435 | (1) |
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18.2.2 Logic of Model Structure and Biological Aspects |
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436 | (1) |
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18.2.3 Characterization of Model Errors |
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437 | (5) |
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18.2.4 Data for Model Validation |
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442 | (2) |
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18.3 Applying Growth and Yield Models |
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444 | (3) |
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445 | (2) |
Index |
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447 | |