Preface |
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xiii | |
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List of Mathematical Symbols |
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xv | |
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1 Terrestrial Biosphere Models |
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1 | (24) |
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1 | (1) |
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1 | (3) |
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1.2 The Ecological Ecosystem |
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4 | (4) |
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1.3 The Atmospheric Ecosystem |
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8 | (4) |
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1.4 The Hydrological Ecosystem |
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12 | (1) |
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13 | (1) |
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14 | (2) |
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1.7 Constructing a Terrestrial Biosphere Model |
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16 | (4) |
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1.8 The Goals of Modeling |
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20 | (1) |
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1.9 Complexity and Uncertainty |
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20 | (3) |
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23 | (2) |
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2 Quantitative Description of Ecosystems |
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25 | (15) |
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25 | (1) |
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25 | (3) |
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2.2 Leaf Angle Distribution |
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28 | (4) |
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32 | (1) |
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2.4 Canopy Nitrogen Profile |
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33 | (1) |
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34 | (2) |
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36 | (3) |
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2.7 Supplemental Programs |
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39 | (1) |
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3 Fundamentals of Energy and Mass Transfer |
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40 | (13) |
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40 | (1) |
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40 | (1) |
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41 | (2) |
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43 | (1) |
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43 | (1) |
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44 | (2) |
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46 | (2) |
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3.7 Diffusive Flux Equations |
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48 | (2) |
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3.8 Conductance and Resistance Networks |
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50 | (1) |
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3.9 Chapter Appendix -- Diffusive Flux Notation |
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51 | (2) |
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4 Mathematical Formulation of Biological Flux Rates |
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53 | (11) |
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53 | (1) |
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4.1 Michaelis--Menten Equation |
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53 | (1) |
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54 | (1) |
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55 | (4) |
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4.4 First-Order, Linear Differential Equations |
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59 | (1) |
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60 | (4) |
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64 | (16) |
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64 | (1) |
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64 | (1) |
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5.2 Transient, One-Dimensional Heat Conduction |
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65 | (1) |
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5.3 Numerical Implementation |
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66 | (4) |
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5.4 Soil Thermal Properties |
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70 | (3) |
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5.5 Diurnal and Annual Cycles |
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73 | (2) |
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75 | (3) |
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5.7 Supplemental Programs |
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78 | (1) |
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79 | (1) |
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6 Turbulent Fluxes and Scalar Profiles in the Surface Layer |
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80 | (21) |
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80 | (1) |
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80 | (1) |
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81 | (2) |
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6.3 Gradient--Diffusion Theory |
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83 | (1) |
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84 | (1) |
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6.5 Monin--Obukhov Similarity Theory |
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85 | (4) |
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6.6 Aerodynamic Conductances |
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89 | (2) |
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91 | (2) |
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93 | (7) |
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6.9 Supplemental Programs |
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100 | (1) |
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100 | (1) |
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101 | (14) |
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101 | (1) |
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101 | (1) |
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101 | (4) |
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105 | (5) |
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7.4 A Bucket Model Hydrologic Cycle |
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110 | (1) |
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111 | (1) |
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7.6 Penman-Monteith Equation |
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112 | (1) |
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7.7 Chapter Appendix: Snowmelt |
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113 | (1) |
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7.8 Supplemental Programs |
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114 | (1) |
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114 | (1) |
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115 | (19) |
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115 | (1) |
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115 | (1) |
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8.2 Measures of Soil Moisture |
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115 | (3) |
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8.3 Matric Potential and Hydraulic Conductivity |
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118 | (3) |
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121 | (2) |
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8.5 Finite Difference Approximation |
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123 | (4) |
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8.6 Iterative Numerical Solutions |
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127 | (3) |
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130 | (1) |
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8.8 Source and Sink Terms |
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131 | (1) |
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132 | (1) |
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8.1.0 Supplemental Programs |
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132 | (1) |
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133 | (1) |
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9 Hydrologic Scaling and Spatial Heterogeneity |
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134 | (18) |
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134 | (1) |
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134 | (1) |
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134 | (2) |
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136 | (10) |
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146 | (1) |
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147 | (2) |
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149 | (1) |
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9.7 Supplemental Programs |
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150 | (1) |
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150 | (2) |
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10 Leaf Temperature and Energy Fluxes |
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152 | (15) |
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152 | (1) |
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152 | (1) |
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153 | (4) |
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157 | (2) |
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159 | (4) |
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10.5 Characteristic Leaf Dimension |
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163 | (1) |
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10.6 Energy Budget Examples |
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163 | (2) |
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10.7 Supplemental Programs |
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165 | (1) |
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165 | (2) |
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167 | (22) |
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167 | (1) |
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167 | (5) |
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11.2 Parameter Values and Temperature Dependencies |
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172 | (3) |
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11.3 Photosynthetic Response to Environmental Factors |
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175 | (4) |
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11.4 Use of Vcmax in Models |
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179 | (2) |
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11.5 The Kull and Kruijt (1998) Model |
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181 | (2) |
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11.6 Temperature Acclimation |
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183 | (2) |
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185 | (1) |
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11.8 Diffusive Limitations on CO2 Supply |
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186 | (2) |
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11.9 Supplemental Programs |
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188 | (1) |
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188 | (1) |
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189 | (24) |
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189 | (1) |
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189 | (2) |
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12.2 Empirical Multiplicative Models |
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191 | (2) |
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12.3 Semiempirical Photosynthesis-Based Models |
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193 | (2) |
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195 | (4) |
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12.5 Stomatal Response to Environmental Factors |
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199 | (3) |
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202 | (8) |
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12.7 Soil Moisture Stress |
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210 | (1) |
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12.8 Chapter Appendix -- Cubic Equation for An |
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211 | (1) |
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12.9 Supplemental Programs |
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212 | (1) |
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212 | (1) |
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213 | (15) |
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213 | (1) |
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213 | (1) |
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13.2 Plant Water Uptake and Leaf Water Potential |
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214 | (4) |
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13.3 Plant Hydraulics and Stomatal Conductance |
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218 | (1) |
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13.4 The Soil--Plant--Atmosphere (SPA) Model |
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219 | (2) |
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13.5 Soil-to-Root Conductance |
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221 | (3) |
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224 | (1) |
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225 | (1) |
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13.8 Supplemental Programs |
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226 | (1) |
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227 | (1) |
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228 | (32) |
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228 | (1) |
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228 | (1) |
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14.2 Leaf Optical Properties |
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229 | (1) |
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14.3 Light Transmission without Scattering |
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230 | (5) |
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14.4 Direct Beam Extinction Coefficient |
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235 | (4) |
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14.5 Diffuse Transmittance |
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239 | (2) |
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14.6 The Norman (1979) Model |
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241 | (5) |
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14.7 The Goudriaan and van Laar (1994) Model |
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246 | (4) |
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14.8 The Two-Stream Approximation |
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250 | (5) |
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255 | (1) |
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255 | (4) |
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14.11 Supplemental Programs |
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259 | (1) |
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259 | (1) |
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260 | (20) |
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260 | (1) |
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260 | (1) |
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261 | (5) |
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266 | (2) |
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268 | (7) |
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275 | (3) |
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278 | (1) |
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279 | (1) |
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16 Scalar Canopy Profiles |
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280 | (21) |
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280 | (1) |
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280 | (2) |
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282 | (4) |
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16.3 Scalar Continuity Equation |
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286 | (3) |
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16.4 Aerodynamic Conductance |
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289 | (1) |
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16.5 Scalar Concentration Profiles |
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290 | (2) |
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16.6 An Implicit Flux--Profile Solution |
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292 | (3) |
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16.7 Localized Near-Field Theory |
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295 | (4) |
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16.8 Chapter Appendix -- Terms in Table 16.1 |
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299 | (1) |
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16.9 Supplemental Programs |
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299 | (1) |
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300 | (1) |
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301 | (21) |
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301 | (1) |
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301 | (1) |
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302 | (5) |
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17.3 Generalized Matrix Form |
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307 | (2) |
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17.4 Allocation and Turnover |
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309 | (4) |
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313 | (2) |
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315 | (2) |
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317 | (3) |
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17.8 Supplemental Programs |
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320 | (1) |
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320 | (2) |
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322 | (22) |
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322 | (1) |
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322 | (2) |
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324 | (1) |
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325 | (3) |
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18.4 Litter Cohort Models |
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328 | (4) |
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18.5 Discrete Pool Models |
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332 | (7) |
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339 | (4) |
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18.7 Supplemental Programs |
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343 | (1) |
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343 | (1) |
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344 | (21) |
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344 | (1) |
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344 | (1) |
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345 | (7) |
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19.3 Area-Based Dynamic Global Vegetation Models |
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352 | (5) |
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19.4 Cohort-Based Ecosystem Demography Models |
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357 | (7) |
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19.5 Chapter Appendix: LPJ Allocation |
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364 | (1) |
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19.6 Chapter Appendix: ED Allocation |
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364 | (1) |
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365 | (16) |
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365 | (1) |
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365 | (2) |
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367 | (1) |
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368 | (1) |
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369 | (1) |
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369 | (2) |
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371 | (1) |
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20.7 Canopy-Chemistry Models |
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372 | (1) |
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373 | (8) |
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381 | (10) |
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Table A.1 Basic and Derived Scientific Units |
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381 | (1) |
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Table A.2 Metric Prefixes |
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381 | (1) |
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Table A.3 Diffusivity at Standard Pressure and Temperature |
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381 | (1) |
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Table A.4 Physical Constants |
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382 | (1) |
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383 | (8) |
References |
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391 | (38) |
Index |
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