AN ABSTRACT OF THE THESIS OF Breanna S Sabin for the degree of Master of Science in Forest Resources presented on June 6 2008. Title: Relationship Between Allometric Variables and Biomass in Western Juniper (Juniperus occidentalis) Abstract approved: _______________________________________________________________ Richard F. Miller Paul S. Doescher A tenfold expansion of western juniper (Juniperus occidentalis spp. occidentalis) into the sagebrush steppe has led to the degradation of the economic and ecological potential of these landscapes. Land managers have enacted numerous methods to reduce distributions and densities of these trees. Assessment of above ground juniper biomass, expressed overall as well as in each of four fuel - size classes is useful information to land managers for several reasons. These include: enhance smoke management for prescribed burns, appraise feasibility of locating biomass cogeneration power plants, and extrapolating known nutrient and carbon concentrations contained within juniper to the landscape scale. Two sites were selected within Lake County, OR for this research. Allometric measurements including canopy area, canopy volume, age, height, basal diameter were taken from 129 trees and 56 of these were destructively sampled to obtain biomass of each tree; by size classes as well as over all. Regression statistics were utilized to find the correlation between allometric and biomass measurements. Of the allometric variables measured for this research, canopy volume, canopy area, and basal diameter were the strongest predictors of biomass found, with respective R2 values of 0.88, 0.87, 0.81. The proportion of biomass within each of the four size classes was: 34% for size class 1, 15% for size class 2, 23% for size class 3, and 28% for size class 4. Average biomass for these sites was 2,482 kg/ha for the Fort Rock site and 5,410 kg/ha for the Lakeview site. These models can be used to estimate biomass for co-generation plants, estimate nutrient pools and fuel loads, and predict changes in community biomass based on species or growth form groups. ©Copyright by Breanna S. Sabin June 6, 2008 All Rights Reserved Relationship Between Allometric Variables and Biomass in Western Juniper (Juniperus occidentalis) by Breanna S. Sabin A THESIS submitted to Oregon State University in partial fulfillment of the requirements for the degree of Master of Science Presented June 6, 2008 Commencement June 2009 Master of Science thesis of Breanna S. Sabin presented on June 6, 2008. APPROVED: _______________________________________________________________ Co-Major Professor, representing Forest Resources _______________________________________________________________ Co-Major Professor, representing Forest Resources _______________________________________________________________ Head of the Department of Forest Resources _______________________________________________________________ Dean of the Graduate School I understand that my thesis will become part of the permanent collection of Oregon State University libraries. My signature below authorizes release of my thesis to an reader upon request. _______________________________________________________________ Breanna S. Sabin, Author ACKNOWLEDGEMENTS The completion of this thesis would not be possible without my family, friends and professors. Their continued patience and encouragement has helped me to learn and grow as a student and individual. I would especially like to thank the following individuals. My Parents: for believing in me and always recognizing my potential. My Husband: for his sacrifices and continued support. My Sisters: for their positive encouragement My Professors: for the great leadership, education and patience TABLE OF CONTENTS Page INTRODUCTION……………………………………………………………1 METHODS…...................................................................................................5 Study Area………………………………………………………………..5 Lakeview……………………………………….............................6 Fort Rock………………………………………………………....8 Data Collection….....................................................................................10 Study Design…………………………………………………….10 Field Data Collection……………………………………………12 Destructive Sampling……………………………………………14 Data Analysis……………………………………………………………17 RESULTS……………………………………………………………….…..19 Fort Rock versus Lakeview……………………………………………..20 Fort Rock………………………………………………………………..22 Total Tree Dry Weight…………………………………………..22 Size Class Dry Weight…………………………………………..24 Lakeview………………………………………………………………...27 Total Tree Dry Weight…………………………………………..27 Size Class Dry Weight…………………………………………..28 Combined Sites ……………………………………………………………..31 Total Tree Dry Weight…………………………………………………..31 Size Class Dry Weight…………………………………………………..32 TABLE OF CONTENTS (Continued) Page DISCUSSION……………………………………………………………..35 Total Tree Dry Weight………………………………………………...35 Size Class Dry Weight………………………………………………...37 MANAGEMENT IMPLICATIONS……………………………………...39 SCOPE OF INFERENCE…………………………………………………41 BIBLIOGRAPHY…………………………………………………………42 APPENDIX………………………………………………………………..45 LIST OF FIGURES Figure Page 1. Location of research sites within Lake County within the state of Oregon ……………………………………………………………..….6 2. The Lakeview study area composed of Idaho fescue, mountain big sagebrush, green rabbitbrush, and western juniper.…………………………………………………………………....8 3. The Fort Rock study area composed of Idaho fescue, sagebrush, bitterbrush, green rabbitbrush, and western juniper …………..…….......10 4. A map of the Lakeview site showing locations of weighed and unweighed trees………………..………………………………………...11 5. A map of the Fort Rock site showing the location of weighed and unweighed trees…………………………..……………………………...12 6. The various sizes of the first three size classes ………………..………...14 7. Picture of the work truck with the boom attached to the rear of the pickup with the load cell attached ……..………………………………...15 8. Picture of the scale and pulley system connected with the tarp which was used to lift the samples ……………………..………………..16 9. Scatterplot and correlation between total tree weights and canopy area from the Fort Rock site.………………………….………....23 10. Average percentages of size class weights for the Fort Rock site for individual western juniper trees ………….…………….…24 11. Scatterplot and correlation between total tree weights and canopy area from the Lakeview site…………….……….………………28 12. Average percentage of size class weights for the Lakeview site for individual western juniper trees……………….…………….…...29 13. Scatterplot showing the correlation between total tree weights and canopy area measurements for both sites combined…………….…….....32 14. Average percentage of size class weights for both sites combined for individual western juniper trees………….....……….33 LIST OF TABLES Table Page 1. Descriptions of field measurements and techniques……….……………13 2. Sub-Sample measurements: technique, minimum weight per sample without paper bag, temperature and time it took to dry, for the four fuel classes. ………………. …………………………….…17 3. The formula used to solve for the total dry weight of the tree. ….……...17 4. Simple comparisons between the Fort Rock and Lakeview site….……..19 5. Two-sample t-test assuming unequal variances results for total tree weights, allometric variables, and age between Fort Rock and Lakeview………………………………………………...20 6. Two-sample t-test assuming unequal variances results for size class weights between Fort Rock and Lakeview……………...……21 7. P-values comparing slopes of the relationships among tree variables and weights between the two sites………………………….....22 8. Results of linear regression analysis predicting total tree dry weight (kg) with tree allometric and age variables at the Fort Rock site……………………………………………………………23 9. Results of linear regression analysis predicting dry weight (kg) for each of the four size classes with tree allometric and age variables at the Fort Rock site……………………………………………………...26 10. Results of linear regression analysis predicting total tree dry weight (kg) with tree allometric and age variables at the Lakeview site………………………………………………………………………..27 11. Results of linear regression analysis predicting dry weight (kg) for each of the four size classes with tree allometric and age variables at the Lakeview site……………………………………………………...30 12. Results of linear regression analysis predicting dry weight (kg) for each of the four size classes with tree allometric and age variables for both sites combined………………………………………..31 LIST OF TABLES (Continued) Table Page 13. Results of linear regression analysis predicting dry weight (kg) for each of the four size classes with tree allometric and age variables for both sites combined…………………………………………………..34 LIST OF APPENDICES Appendix Page 1. Study site characteristics…………………… …………………………46 2. Scatterplot and correlation between the total tree weights and tree height (transformed) from the Fort Rock site.…….…………..48 3. Scatterplot and correlation between the total tree weights and tree basal diameter (transformed) from the Fort Rock site….……..48 4. Scatterplot and correlation between total tree weights and tree age (transformed) from the Fort Rock site. …….……………..49 5. Scatterplot and correlation between total tree weights and canopy volume (transformed) from the Fort Rock site….…………49 6. Scatterplot and correlation between size class 1 weights and tree height (transformed) from the Fort Rock site.………………...50 7. Scatterplot and correlation between size class 1 weights and tree basal diameter (transformed) from the Fort Rock site………...50 8. Scatterplot and correlation between size class 1 weights and tree age (transformed) from the Fort Rock site.……....…………....51 9. Scatterplot and correlation between size class 1 weights and canopy area (transformed) from the Fort Rock site………….…......51 10. Scatterplot and correlation between size class 1 weights and canopy volume (transformed) from the Fort Rock site……....…….52 11. Scatterplot and correlation between size class 2 weights and tree height (transformed) from the Fort Rock site…………....…….52 12. Scatterplot and correlation between size class 2 weights and basal diameter (transformed) from the Fort Rock site……………...53 13. Scatterplot and correlation between size class 2 weights and tree age (transformed) from the Fort Rock site…………………….53 14. Scatterplot and correlation between size class 2 weights and tree canopy area (transformed) from the Fort Rock site…….……...54 LIST OF APPENDICES (Continued) Appendix Page 15. Scatterplot and correlation between size class 2 weights and tree canopy volume (transformed) from the Fort Rock site…….….54 16. Scatterplot and correlation between size class 3 weights and tree height (transformed) from the Fort Rock site…………………55 17. Scatterplot and correlation between size class 3 weights and basal diameter (transformed) from the Fort Rock site……………..55 18. Scatterplot and correlation between size class 3 weights and tree age (transformed) from the Fort Rock site……………………56 19. Scatterplot and correlation between size class 3 weights and tree canopy area (transformed) from the Fort Rock site....………...56 20. Scatterplot and correlation between size class 3 weights and tree canopy volume (transformed) from the Fort Rock site……….57 21. Scatterplot and correlation between size class 4 weights and tree height (transformed) from the Fort Rock site…………………57 22. Scatterplot and correlation between size class 4 weights and tree basal diameter (transformed) from the Fort Rock site………...58 23. Scatterplot and correlation between size class 4 weights and tree age (transformed) from the Fort Rock site…………………….58 24. Scatterplot and correlation between fuel class 4 weights and tree canopy area (transformed) from the Fort Rock site…………....59 25. Scatterplot and correlation between size class 4 weights and tree canopy volume (transformed) from the Fort Rock site………..59 26. Scatterplot and correlation between total tree weights and tree height (transformed) from the Lakeview site………………….60 27. Scatterplot and correlation between total tree weight and tree basal diameter (transformed) from the Lakeview site…………60 28. Scatterplot and correlation between total tree weight and tree age (transformed) from the Lakeview site……………………..61 LIST OF APPENDICES (Continued) Appendix Page 29. Scatterplot and correlation between total tree weight and tree canopy volume (transformed) from the Lakeview site.……….61 30. Scatterplot and correlation between size class 1 weights and tree height (transformed) from the Lakeview site………………....62 31. Scatterplot and correlation between size class 1 weights and tree basal diameter (transformed) from the Lakeview site………...62 32. Scatterplot and correlation between size class 1 weights and tree age (transformed) from the Lakeview site…………………….63 33. Scatterplot and correlation between size class 1 weights and tree canopy area (transformed) from the Lakeview site…………...63 34. Scatterplot and correlation between size class 1 weights and tree canopy volume (transformed) from the Lakeview site………..64 35. Scatterplot and correlation between size class 2 weights and tree height (transformed) from the Lakeview site…………………64 36. Scatterplot and correlation between size class 2 weights and tree basal diameter (transformed) from the Lakeview site………...65 37. Scatterplot and correlation between size class 2 weights and tree age (transformed) from the Lakeview site…………………….65 38. Scatterplot and correlation between size class 2 weights and tree canopy area (transformed) from the Lakeview site…………...66 39. Scatterplot and correlation between size class 2 weights and tree canopy volume (transformed) from the Lakeview site………..66 40. Scatterplot and correlation between size class 3 weights and tree height (transformed) from the Lakeview site…………………67 41. Scatterplot and correlation between size class 3 weights and tree basal diameter (transformed) from the Lakeview site………...67 42. Scatterplot and correlation between size class 3 weights and tree age (transformed) from the Lakeview site…………………….68 LIST OF APPENDICES (Continued) Appendix Page 43. Scatterplot and correlation between size class 3 weights and tree canopy area (transformed) from the Lakeview site……………..68 44. Scatterplot and correlation between size class 3 weights and tree canopy volume (transformed) from the Lakeview site………....69 45. Scatterplot and correlation between size class 4 weights and tree height (transformed) from the Lakeview site……………….…..69 46. Scatterplot and correlation between size class 4 weights and basal diameter (transformed) from the Lakeview site………….……70 47. Scatterplot and correlation between size class 4 weights and tree age (transformed) from the Lakeview site……………………...70 48. Scatterplot and correlation between size class 4 weights and tree canopy area (transformed) from the Lakeview site………….…71 49. Scatterplot and correlation between size class 4 weights and tree canopy volume (transformed) from the Lakeview site………..71 50. Scatterplot and correlation between total tree weight and tree height (transformed) for both sites combined…………………..72 51. Scatterplot and correlation between total tree weight and tree basal diameter (transformed) for both sites combined………….72 52. Scatterplot and correlation between total tree weight and tree age (transformed) for both sites combined……………………...73 53. Scatterplot and correlation between total tree weight and tree canopy volume (transformed) for both sites combined………....73 54. Scatterplot and correlation between size class 1 weights and tree height (transformed) for both sites combined………....………..74 55. Scatterplot and correlation between size class 1 weights and tree basal diameter (transformed) for both sites combined………….74 56. Scatterplot and correlation between size class 1 weights and tree age (transformed) for both sites combined……………………...75 LIST OF APPENDICES (Continued) Appendix Page 57. Scatterplot and correlation between size class 1 weights and tree canopy area (transformed) for both sites combined…………...75 58. Scatterplot and correlation between size class 1 weights and tree canopy volume (transformed) for both sites combined………..76 59. Scatterplot and correlation between size class 2 weights and tree height (transformed) for both sites combined…………………76 60. Scatterplot and correlation between size class 2 weights and tree basal diameter (transformed) for both sites combined………...77 61. Scatterplot and correlation between size class 2 weights and tree age (transformed) for both sites combined…………………….77 62. Scatterplot and correlation between size class 2 weights and tree canopy area (transformed) for both sites combined…………...78 63. Scatterplot and correlation between size class 2 weights and tree canopy volume (transformed) for both sites combined………..78 64. Scatterplot and correlation between size class 3 weights and tree height (transformed) for both sites combined…………………79 65. Scatterplot and correlation between size class 3 weights and tree basal diameter (transformed) for both sites combined………..79 66. Scatterplot and correlation between size class 3 weights and tree age (transformed) for both sites combined…………………….80 67. Scatterplot and correlation between size class 3 weights and tree canopy area (transformed) for both sites combined…………...80 68. Scatterplot and correlation between size class 3 weights and tree canopy volume (transformed) for both sites combined………..81 69. Scatterplot and correlation between size class 4 weights and tree height (transformed) for both sites combined…………………81 70. Scatterplot and correlation between size class 4 weights and tree basal diameter (transformed) for both sites combined………...82 LIST OF APPENDICES (Continued) Appendix Page 71. Scatterplot and correlation between size class 4 weights and tree age (transformed) for both sites combined……………………82 72. Scatterplot and correlation between size class 4 weights and tree canopy area (transformed) for both sites combined…………...83 73. Scatterplot and correlation between size class 4 weights and tree canopy volume (transformed) for both sites combined………..83 74. Scatterplot and correlation between total tree weight and tree height for the Fort Rock site…………………………………...84 75. Scatterplot and correlation between total tree weight and tree basal diameter for the Fort Rock site…………………………..84 76. Scatterplot and correlation between total tree weight and tree age for the Fort Rock site………………………………………85 77. Scatterplot and correlation between total tree weight and tree canopy area for the Fort Rock site……………………………..85 78. Scatterplot and correlation between total tree weight and tree canopy volume for the Fort Rock site………………………….86 79. Scatterplot and correlation between size class 1 weights and tree height for the Fort Rock site……………………………………86 80. Scatterplot and correlation between size class 1 weights and tree basal diameter for the Fort Rock site…………………………...87 81. Scatterplot and correlation between size class 1 weights and tree age for the Fort Rock site.……………………………………...87 82. Scatterplot and correlation between size class 1 weights and tree canopy area for the Fort Rock site.…………………………….88 83. Scatterplot and correlation between size class 1 weights and tree canopy volume for the Fort Rock site………………………….88 LIST OF APPENDICES (Continued) Appendix Page 84. Scatterplot and correlation between size class 2 weights and tree height for the Fort Rock site. ……...………….…………….…89 85. Scatterplot and correlation between size class 2 weights and tree basal diameter for the Fort Rock site.…...………………….…89 86. Scatterplot and correlation between size class 2 weights and tree age for the Fort Rock site………...…………………………....90 87. Scatterplot and correlation between size class 2 weights and tree canopy area for the Fort Rock site.………...……………….…90 88. Scatterplot and correlation between size class 2 weights and tree canopy volume for the Fort Rock site…………………………91 89. Scatterplot and correlation between size class 3 weights and tree height for the Fort Rock site…………………………………...91 90. Scatterplot and correlation between size class 3 weights and tree basal diameter for the Fort Rock site…………………………..92 91. Scatterplot and correlation between size class 3 weights and tree age for the Fort Rock site………………………………………92 92. Scatterplot and correlation between size class 3 weights and tree canopy area for the Fort Rock site……………………………..93 93. Scatterplot and correlation between size class 3 weights and tree canopy volume for the Fort Rock site………………………….93 94. Scatterplot and correlation between size class 4 weights and tree height for the Fort Rock site…………………………………...94 95. Scatterplot and correlation between size class 4 weights and tree basal diameter for the Fort Rock site…………………………..94 96. Scatterplot and correlation between size class 4 weights and tree age for the Fort Rock site………………………………………95 97. Scatterplot and correlation between size class 4 weights and tree canopy area for the Fort Rock site……………………………..95 LIST OF APPENDICES (Continued) Appendix Page 98. Scatterplot and correlation between size class 4 weights and tree canopy volume for the Fort Rock site…………………..………96 99. Scatterplot and correlation between total tree weight and tree height for the Lakeview site…………………………..………...96 100. Scatterplot and correlation between total tree weight and tree basal diameter for the Lakeview site………..…………..97 101. Scatterplot and correlation between total tree weight and tree age for the Lakeview site…………………………….....97 102. Scatterplot and correlation between total tree weight and tree canopy area for the Lakeview site………………………98 103. Scatterplot and correlation between total tree weight and tree canopy volume for the Lakeview site…………………..98 104. Scatterplot and correlation between size class 1 weights and tree height for the Lakeview site………………………….....99 105. Scatterplot and correlation between size class 1 weights and tree basal diameter for the Lakeview site…………………...99 106. Scatterplot and correlation between size class 1 weights and tree age for the Lakeview site.……………………………..100 107. Scatterplot and correlation between size class 1 weights and tree canopy area for the Lakeview site.…………………….100 108. Scatterplot and correlation between size class 1 weights and tree canopy volume for the Lakeview site…………………101 109. Scatterplot and correlation between size class 2 weights and tree height for the Lakeview site…………………………...101 110. Scatterplot and correlation between size class 2 weights and tree basal diameter for the Lakeview site………………….102 111. Scatterplot and correlation between size class 2 weights and tree age for the Lakeview site……………………………...102 LIST OF APPENDICES (Continued) Appendix Page 112. Scatterplot and correlation between size class 2 weights and tree canopy area for the Lakeview site…………………….103 113. Scatterplot and correlation between size class 2 weights and tree canopy volume for the Lakeview site…………………103 114. Scatterplot and correlation between size class 3 weights and tree height for the Lakeview site…………………………..104 115. Scatterplot and correlation between size class 3 weights and tree basal diameter for the Lakeview site………………….104 116. Scatterplot and correlation between size class 3 weights and tree age from the Lakeview site……………………………105 117. Scatterplot and correlation between size class 3 weights and tree canopy area for the Lakeview site…………………….105 118. Scatterplot and correlation between size class 3 weights and tree canopy volume for the Lakeview site………………....106 119. Scatterplot and correlation between size class 4 weights and tree height for the Lakeview site…………………………...106 120. Scatterplot and correlation between size class 4 weights and tree basal diameter for the Lakeview site…………………..107 121. Scatterplot and correlation between size class 4 weights and tree age for the Lakeview site……………………………...107 122. Scatterplot and correlation between size class 4 weights and tree canopy area for the Lakeview site…………….……….108 123. Scatterplot and correlation between size class 4 weights and tree canopy volume for the Lakeview site…….…………...108 124. Scatterplot and correlation between total tree weight and tree height for both sites combined………………………..109 125. Scatterplot and correlation between total tree weight and tree basal diameter for both sites combined……………….109 LIST OF APPENDICES (Continued) Appendix Page 126. Scatterplot and correlation between total tree weight and tree age for both sites combined…………………………...110 127. Scatterplot and correlation between total tree weight and canopy area for both sites combined…….110 128. Scatterplot and correlation between total tree weight and tree canopy volume for both sites combined…………….……..111 129. Scatterplot and correlation between size class 1 weights and tree height for both sites combined……………..……………...111 130. Scatterplot and correlation between size class 1 weights and tree basal diameter for both sites combined………….………..112 131. Scatterplot and correlation between size class 1 weights and tree age for both sites combined……….……………………...112 132. Scatterplot and correlation between size class 1 weights and tree canopy area for both sites combined……….………...113 133. Scatterplot and correlation between size class 1 weights and tree canopy volume for both sites combined………….…..113 134. Scatterplot and correlation between size class 2 weights and tree height for both sites combined……..………………...114 135. Scatterplot and correlation between size class 2 weights and tree basal diameter for both sites combined…….………...114 136. Scatterplot and correlation between size class 2 weights and tree age measurements for both sites combined..…………115 137. Scatterplot and correlation between size class 2 weights and tree canopy area for both sites combined……….………...115 138. Scatterplot and correlation between size class 2 weights and canopy volume for both sites combined……………….….116 139. Scatterplot and correlation between size class 3 weights and tree height for both sites combined…….…………………116 LIST OF APPENDICES (Continued) Appendix Page 140. Scatterplot and correlation between size class 3 weights and basal diameter for both sites combined…………………..117 141. Scatterplot and correlation between size class 3 weights and tree age for both sites combined………………………….117 142. Scatterplot and correlation between size class 3 weights and tree canopy area for both sites combined………………...118 143. Scatterplot and correlation between size class 3 weights and tree canopy volume for both sites combined……………..118 144. Scatterplot and correlation between size class 4 weights and tree height for both sites combined………………………119 145. Scatterplot and correlation between size class 4 weights and tree basal diameter for both sites combined……………...119 146. Scatterplot and correlation between size class 4 weights and tree age for both sites combined………………………….120 147. Scatterplot and correlation between size class 4 weights and tree canopy area for both sites combined….……………..120 148. Scatterplot and correlation between size class 4 weights and tree canopy volume for both sites combined…….……….121 149. R-squares for correlations between individual tree weight and individual independent variables (canopy area, canopy volume, age, height, and basal diameter) for the Fort Rock site............................................................................121 150. R-squares for correlations between individual tree weight and individual independent variables (canopy area, canopy volume, age, height, and basal diameter) for the Lakeview site.………………………………………………...122 151. R-squares for correlations between individual tree weight and individual independent variables (canopy area, canopy volume, age, height, and basal diameter) for both sites combined.……………………………………………………..123 LIST OF APPENDICES (Continued) Appendix Page 152. R-squares for correlations between independent variables (canopy area, canopy volume, age, height, and basal diameter) and fuel class weights (1,2,3, and 4) for the Fort Rock site…………………………………………………...123 153. R-squares for correlations between independent variables (canopy area, canopy volume, age, height, and basal diameter) and fuel class weights (1, 2, 3 and 4) for the Lakeview site…….……………………………………………..124 154. R-squares for correlations between independent variables (canopy area, canopy volume, age, height, and basal diameter) and fuel class weights (1, 2, 3, and 4) for both sites combined.……………...……………………………………......124 155. Weight prediction equations for individual tree dry weight for Fort Rock, Lakeview, and both sites combined……...……..125 156. Coefficient estimates, root mean squared errors (MSE), sample sizes (n) and r-squared values for the models in appendix 155…………………………..……………………..125 157. Size class weight prediction equations for the Fort Rock site……………………..………………………………….126 158. Coefficient estimates, root mean squared errors (MSE) and r-squared values for the models in appendix 157, for the Fort Rock site…….………………………………………....126 159. Size class weight prediction equations for the Lakeview site…………………….……………………………..127 160. Coefficient estimates, root mean squared errors (MSE) and r-squared values for the models in appendix 159, for the Lakeview site…….…………………………..………………....127 161. Fuel class weight prediction equations for both sites combined…………….………………………………………….128 162. Coefficient estimates, root mean squared errors (MSE) and r-squared values for the models in appendix 161, for both sites combined ………………..………………..………….128 Relationship Between Allometric Variables and Biomass in Western Juniper (Juniperus occidentalis) INTRODUCTION The spread of western juniper (Juniperus occidentalis spp. occidentalis) into the sagebrush steppe has raised concerns about increased soil erosion, reduced water resources and forage production, and altered wildlife habitat (Buckhouse and Mattison 1980, Gifford 1975, Peiper 1990, Miller et al. 2005). This expansion is the result of several causes including fire and domestic livestock grazing. Western juniper currently occupies 3,642,170 ha ranging from northwestern Nevada to northeastern California and north through eastern Oregon and extending into southern Washington (Miller et al. 2005). Throughout much of its range of over 3.6 million ha, it has been shown that >90% of these potentially long lived trees have established post European settlement (Miller et al. 2008). The majority of this expansion has resulted in the replacement and continued encroachment into mountain big sagebrush (Artemisia tridentata ssp vaseyana ) and low sagebrush (Artemisia arbuscula) communities that occupy moderate to deep soil sites. Juniper reduction programs have been implemented with the goal of restoring northern Great Basin shrub-steppe plant communities and to reduce fuel loads (Bates et al. 2005). These programs use control methods such as prescribed fire, herbicide application, manual cutting, and mechanical treatments. The most common control method currently used is cutting, 2 which can be done either manually using chainsaws or mechanically (Miller et al. 2005). Cutting treatments are often used in woodlands that have a depleted shrub and herbaceous understory, making prescribed fire no longer a viable treatment due to a lack of fuels (Miller et al. 2000, Bates et al. 2005). Some of the advantages of cutting are: the ability to control the treated area, selectivity of what trees are to be cut, little soil disturbance, minimal liability, and the ability to apply the treatment over a longer time period during the year (Miller et al. 2005). Disadvantages include high cost, large amounts of woody debris remaining on site, limitation in size of the treated area due to the amount of time it takes to cut, and the life of the treatment is usually shorter as a result of missing the small trees (Miller et al. 2005). Prescribed fire is also a common method used for juniper control. This tool can be successful if conducted under the appropriate conditions. Primary factors that influence post-burn responses are plant composition, current seed pool, fire severity and complexity (patchiness), climate conditions and postmanagement (Miller et al. 2005). Advantage of prescribed fire include: it is a natural process, typically economical in terms of application costs, can treat large areas, has the longest return interval of juniper coming back to the site, and removes slash off site (Miller et al. 2005). Disadvantages include: liability, threat of weed invasions, reduction of shrubs, limited tree selectivity, need to have adequate fuels conditions, potential nutrient and carbon loss, 3 smoke management, and limitations due to climatic conditions (Miller et al. 2005). Mechanical reduction with heavy equipment is another method used to remove unwanted junipers. Techniques involve the use of heavy equipment such as bulldozers, feller-bunchers, excavators, front-end loaders, and farmforestry tractors. This method is expensive and can also disturb the soil and wildlife, often limiting its use (Miller et al. 2005). However, recent interest in using biomass of western juniper as fuel for energy operation plants, has the potential to sell, substantially reduce cost of juniper removal. One factor that will aid in the economic evaluation of using mechanical reduction for energy production is the development of a reliable means to estimate available biomass. Recently built and projected cogeneration plants need reliable estimates of available biomass to assess cost effectiveness. In addition the amounts of nutrient and carbon tied up in the above-ground tree biomass is also a concern related to juniper removal projects. At this time tools are limited to estimate above ground tree biomass at the individual, community or landscape level. Several studies have evaluated biomass of juniperus sp. and pinyon and the possible allometric measurements thereof (Gholz 1980, Miller 1981, Brown 1982, Tiedemann 2000). Miller found a close correlation between the crown diameter of juniper and pinyon to biomass (Miller 1981). Gholz’s used basal circumference to develop regression equations for estimation of biomass. To estimate juniper 4 biomass at the landscape level we need predictive models that will extrapolate the biomass of individual trees to the landscape level. My overall goal was to develop a tool that uses an easily measurable tree variable to predict western juniper biomass that could be used both in the field and from aerial imagery. Estimates of tree biomass could be useful to determine woody material available for converting to energy, fuel loads, estimating nutrient and carbon pools tied up in the tree layer, and estimating net annual productivity. To address this goal we evaluated the relationship between tree biomass to several tree allometrics. Our specific objective was to determine the strength of the relationship between total tree biomass and different components of the tree based on diameter class with canopy area, canopy volume, height, age and basal diameter. 5 METHODS Study Area Two study areas were located in the High Desert Ecological Province in Lake County, southeastern Oregon, on lands managed by Bureau of Land Management (BLM) Lakeview District (Fig. 1). This High Desert Ecological Province consists of numerous large and small closed basins surrounded by extensive terraces formed in ancient lakes (Anderson et al. 1998). This area is interspersed by low basaltic ridges, hilly uplands, isolated buttes, mountains, and block – faulted igneous formations. The High Desert Ecological Province, which encompasses the northern most extent of the Great Basin and a large portion of the range of western juniper, receives an average annual precipitation of 12.7 to 63.5 cm, with most juniper forest receiving 25.4 to 38.1 cm (Gedney et al. 1999). Plant associations for the study areas were representative of the mountain big sagebrush alliance. These communities are common throughout the region and have been actively encroached by western juniper since the late 1800’s (Miller et al. 2000 see JRM53-574-585). Both stands were in the early stage of woodland development, where although mature trees were present, they accounted for 6% or less canopy cover and grasses and shrubs dominate. This stage is similar to phase I described by Miller et al. (2005) and Johnson Miller (2006). 6 Figure 1. Location of research sites within Lake County within the state of Oregon (Geology 2008) Lakeview The first study area was located 0.4 km east of the Plush cut-off Road – CR3-13, which is about 32.2 km southeast of Lakeview, Oregon and 32.2 km east of Plush, Oregon (latitude of 42 degrees 15 minutes , longitude of 120 degrees 4 minutes). The plot was located on a Shallow Loam 10-20″ PZ ecological site ( NRCS (United States Department of Agriculture Natural Resources Conservation Service) 2008). In the winter months the mean 7 minimum temperature is 3.33º C and in the summer months the mean maximum temperature 20.3º C (WRCC (Western Regional Climate Center) 2008). The annual precipitation, which occurs mostly in the winter months, is approximately 35.6 to 45.7 cm and the mean annual air temperature is 7.2 – 8.3º C (NRCS 2008). The plant association is mountain big sagebrush / Idaho fescue (Festuca idahoensis) (NRCS 2008). The site is currently dominated by both species in addition to western juniper and green rabbitbrush (Chrysothamnus viscidiflorus). The elevation is 1713 m with an NE aspect and a 2 to 15 % slope (NRCS 2008). Soils are shallow loam 35.56 – 45.72 cm depth and are formed from colluvium derived from basalt, rhyolite and tuff (NRCS 2008). The underlying soil is the Booth complex, which has a depth of approximately 66.04 cm. Historical documentation from the BLM indicates that this area was used for grazing of cattle and sheep, and wildlife such as pronghorn antelope, mule deer, and various birds are also abundant in this area. 8 Figure 2. The Lakeview study area composed of Idaho fescue, mountain big sagebrush, green rabbitbrush, and western juniper. Fort Rock The second study area was located on the northern part of the BLM Lakeview District in the Fort Rock area, about 32.2 km north of Christmas Valley, (latitude of 43 degrees 31 minutes, longitude of 120 degrees 39 minutes). The plot was located on a Pumice High Plains 10-12″ PZ ecological site (NRCS 2008). The average annual precipitation is approximately 22.9 to 30.5 cm, and the mean annual air temp is 7.2 to 12.7º C (NRCS 2008). The temperature in this area has an average maximum temperature of 17.4º C in 9 the summer months and an average minimum of -0.72º C in the winter months (WRCC 2008). The plant association is mountain big sagebrush-bitterbrush (Purshia tridentata) / Idaho fescue (NRCS 2008). The community is currently codominated by Idaho fescue and western juniper. Mountain big sagebrush, bitterbrush, green rabbitbrush, and western needlegrass (Achnatherum occidentale) are also present on the site. Mountain big sagebrush has recently been reduced to less than 5% cover by the aroga moth (Aroga websterii). Elevation is around 1433 m with a 1 to 8% slope, and the terrain consists of lava plateaus and buttes (NRCS 2008). Soils are loamy, primarily derived from eolian deposits of volcanic ash overlying igneous residuum weathered from basalt and tuff (NRCS 1989). The soil type in this area is Moonbeam Connleyhills Complex. Historical documentation from the BLM indicates that this area has had small scattered wildfires and is good habitat for wildlife such as mule deer, elk and a variety birds. This site also contains scattered old growth juniper, which is prevalent throughout the whole Fort Rock Area. 10 Figure 3. The Fort Rock study area composed of Idaho fescue, sagebrush, bitterbrush, green and grey rabbitbrush, and western juniper. Data Collection Study Design Sampling within the study areas consisted of one 3.35 ha plot in Lakeview and one 4.5 ha plot in Fort Rock; each located within a single ecological site. Each site was chosen based on plant community, plot sites varied due to trees that were chosen to be sampled. Trees were chosen based on accessibility, overall tree condition and size. Since easy access was required to bring equipment in for weighing the trees on the study areas, plots were located adjacent to access roads. Allometric measures were recorded for 11 all trees over 3 m tall in each plot; excluding trees exhibiting old growth characteristics as explained by Miller et. al (2005). A subsample of trees from each plot were cut and weighed. The pictures below indicate which trees were sampled and weighed and which trees were left unweighed on each site (Fig 4 and 5). Figure 4. A map of the Lakeview site showing locations of weighed and unweighed trees. 12 Figure 5. A map of the Fort Rock site showing the location of weighed and unweighed trees. Field Data Collection Prior to destructive sampling, crown and trunk measurements were recorded on all trees over 3 m tall within each plot. Measurements taken included: live crown height, tree height, crown diameter, and basal diameter (Table 1). Crown area and crown volume were calculated using the formulas in Table 2. The formula used to estimate crown volume estimates a conoide (a shape whose base is a circle and whose sides taper in the shape of an arch to a point), which best fit the silhouette of the majority of trees on both study sites. A subsample of trees was selected in each plot for destructive sampling 13 to acquire biomass estimates. The number of trees sampled was 31 and 25 at the Fort Rock and Lakeview sites respectively. All sampling was done June through September of 2006 Table 1. Descriptions of field measurements and techniques. Parameter Description and Measurement Technique Basal Diameter Trunk diameter at 30 cm above ground level, read using a diameter tape Crown Diameter Foliage spread measured along and perpendicular to the direction of maximum foliage spread, measure with a meter tape Live Crown Height Measured from ground to first live foliage, measured with a meter tape Tree Height Measured after the tree was cut from base of the stump to top of the tree using a meter tape Age Measured after the tree was cut by counting the rings on the remaining stump at 30 cm Canopy Area π[(crown diameter1 +crown diameter2)/4]² Canopy Volume ((π/6)(live crown height * crown diameter1 * crown diameter2)) 14 Destructive Sampling Trees selected for biomass measurements were felled, all main branches (those originating from the main trunk) were removed from the main stem, and sectioned into manageable pieces (11.4 to 22.7 kg) using a chainsaw. All portions of the tree were separated into four size classes, based on branch diameters used for fuel measurements (Fig. 6). Each size class was weighed using a digital hanging scale (accurate to the decigram) attached to a boom extended from the rear of a pickup (Figs. 7 and 8). Following separation, the samples from each size class were placed separately into the tarp, weighed, and recorded (Fig. 7). Figure 6. The various sizes of the first three fuel classes (Brown 1978). 15 Figure 7. Picture of the work truck with the boom attached to the rear of the pickup with the load cell attached. 16 Figure 8. Picture of the scale and pulley system connected with the tarp, which was used to lift the samples. Sub-samples from each size class for each tree were collected and individually weighed in the field to attain wet field weight (Table 2). These sub-samples were then brought back to the Eastern Oregon Research Center’s drying ovens and dried at 60 Ù’C to determine field moisture content. All field wet weights for each size class were converted to dry weights (Table 3). Samples were weighed daily or weekly until a constant weight was reached. 17 Table 2. Sub-Sample dry weight measurements: minimum weight per sample without paper bag and time it took to dry, for the four fuel classes to reach a steady weight at 60 Ù’C. Fuel Class Minimum weight without paper bag Time 1-hour 500 g 1 – 2 weeks 10- hour 1000g 3-4 weeks 100-hour 1000g 3-4 weeks 1000-hour 1500g 4-6 weeks Table 3. The formula used to solve for the total dry weight of the tree. Total weight for fuel class % dry weight Add all weights for each fuel class and subtract tarp weight Sub-sample dry weight / sub-sample wet weight = % dry weight Total dry weight (% dry weight) (total field weight) = total dry weight Total weight of tree Total dry weight class 1 + class 2+ class 3+ class 4 = total weight Data Analysis Relationship between allometric and age measurements (independent variables) were regressed with dry weight for each size class and total tree biomass was determined using regression analysis (PROC MIX Statistical Analysis System, SAS). Plotted data points for both total tree and size class 18 biomass measurements showed uneven variability among varying size trees so all variables were log-transformed. 19 RESULTS Allometric measurements were collected on 58 trees in the Fort Rock and 71 trees in the Lakeview plots, of which we destructively sampled 31 and 25 trees, respectively (Table 4). Both sites had relatively open canopies ranging from 2% canopy cover at Fort Rock to 6% at Lakeview (Table 4). Of the five tree measurements, canopy area, canopy volume, and basal diameter were the strongest and most consistent variables for predicting biomass across the four size classes and for the total tree. Table 4. Simple comparisons between the Fort Rock and Lakeview site. Lakeview Fort Rock Trees Measured 71 58 Trees Sampled 25 31 Tree Density 20 trees / ha 13 trees / ha Tree Canopy Area 566 m²/ha 164 m²/ha Tree Height 4.2 to 11.6 m (avg 6.9 m) 3.6 to 7.95m (avg 6.2m) Tree Age 28 to 97 yr (avg 63 yr) 29 to 85 yr (avg 63yr) Tree Basal Diameter 19.1 to 63.2 cm (avg 40.3cm) 14 to 61cm (avg 30cm) 20 Fort Rock versus Lakeview The relationship between all tree allometric variables (canopy area, canopy volume, height and basal diameter) and age with individual tree weights and size class weights was compared between the two study sites (Table 5 and 6). Total tree weight, canopy area, canopy volume, and basal diameter were different between the two study sites. Size class one was also different between sites (Table 6). Table 5. Two-sample t-test assuming unequal variances results for total tree weights, allometric variables, and age between Fort Rock and Lakeview. Study Site Allometric Variable Mean Variance Fort Rock Total Tree Weight (kg) 2.163 .1134 2.323 .1119 1.032 .0855 1.334 .0871 Lakeview Fort Rock Canopy Area (m²) Lakeview Fort Rock Lakeview Fort Rock Canopy Volume 1.6094 (m³) 1.9214 Basal Diameter (cm) Lakeview Fort Rock Lakeview Tree Height (m) Fort Rock Lakeview Tree Age (yr) P t-stat .04 1.77 .0001 3.82 .0022 2.96 .1465 .1577 1.4489 .0248 1.5857 .0181 .0004 3.50 .7748 .8227 .0132 .0137 .066 1.53 1.7871 1.776 .0131 .0231 .381 -0.304 21 Table 6. Two-sample t-test assuming unequal variances results for size class weights between Fort Rock and Lakeview. Study Site Size Class Mean Variance P t-stat Fort Rock Lakeview One 1.7354 1.8764 .0797 .0831 .036 1.83 Fort Rock Lakeview Two 1.3841 1.4768 .0829 .0997 .131 1.14 Fort Rock Lakeview Three 1.4234 1.6076 .1939 .2085 .067 1.53 Fort Rock Lakeview Four 1.5496 1.7229 .2066 .1897 .076 1.45 All correlation relationships with tree allometric variables (canopy area, canopy volume, height and basal diameter) and age, and individual tree weights and size class weights were compared between the two study sites (Table 7). When comparing between sites there was no correlation differences found between tested variables and whole tree weights. However, differences were found between sites for certain variables and size class weights. Size class 1 showed a difference in age, size class 2 had a difference in basal diameter, and size class 4 has a difference in age and height (Table 7). 22 Table 7. P-values comparing slopes of the relationships among tree variables and weights between the two sites. Variable Tree Weight Size Class 1 Weight Size Class 2 Weight Size Class 3 Weight Size Class 4 Weight Canopy Area .5923 .5485 .4994 .8003 .2815 Canopy Volume .3208 .3329 .7899 .6280 .1338 Age .0204 .0126 .1752 .0865 .0140 Basal Diameter .1417 .2541 .0324 .1625 .7278 Height .1535 .1734 .4843 .3716 .0421 Fort Rock Total Tree Dry Weight On the Fort Rock site all allometric variables were significant in predicting total tree biomass; age being the weakest predictor and canopy volume and area the strongest (Table 8, Fig. 9 see Appendix for nontransformed relationships and graphs 74-78, 149, 155-156). The correlation between canopy area and canopy volume to total tree biomass was 15.7 kg/m2 and 3.37 kg/m3; respectively. The average individual tree weight increased 7 kg/yr for trees >3m in height. 23 Results of linear regression analysis predicting total tree dry weight (kg) with tree allometric and age variables at the Fort Rock site. Measured variables were log transformed for regression analysis. Table 8. Allometric variable Intercept Slope R2 P Canopy area (m2) Canopy volume (m3) Basal Diameter (cm) Height (m) Age (yr) 1.0107 0.7902 -0.6210 0.0684 -2.4816 1.1156 0.8530 1.9215 2.7033 2.5989 0.9389 0.9400 0.8079 0.8526 0.7822 <.0001 <.0001 <.0001 <.0001 <.0001 Total Tree Weight (kg) Fort Rock Total Tree Weight vs Tree Canopy Area (Transformed) y = 1.1157x + 1.0107 R2 = 0.9389 3 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 Tree Canopy Area (m²) Figure 9. Scatterplot and correlation between total tree weights and canopy area from the Fort Rock site. 24 Size Class Dry Weight Size Class Composition Over a third of the total tree biomass was accounted for in the smallest size class (< 0.64 cm), which was composed mostly of foliage. Biomass in the largest size class (> 7.6 cm) accounted for about a fourth of the total biomass (Fig. 10). Average Percentage of Size Class Weights for the Fort Rock Site for Individual Western Juniper Trees 28% 35% Size Class 1 Size Class 2 Size Class 3 22% 15% Size Class 4 Figure 10. Average percentages of size class weights for the Fort Rock site for individual western juniper trees. 25 Allometric Variables and Dry Weight All allometric variables and age were significant in predicting biomass for each size class on the Fort Rock site (Table 9). Age was generally the weakest predictor with the exception of size class 1 and 4 where basal diameter was the weakest predictor. The strongest and most consistent predictors for biomass among the different size classes were canopy volume and area (see Appendix for non-transformed relationships and graphs 79-98, 152, 157-158). 26 Table 9. Results of linear regression analysis predicting dry weight (kg) for each of the four size classes with tree allometric and age variables at the Fort Rock site. Measured variables were log transformed for regression analysis. Allometric variable Intercept Slope R2 P Size class 1 Canopy area (m2) Canopy volume (m3) Basal Diameter (cm) Height (m) Age (yr) 0.7827 0.5977 -0.5307 0.0114 -2.1362 0.9223 0.7068 1.5639 2.2248 2.1663 0.9128 0.9181 0.7613 0.8214 0.7731 <.0001 <.0001 <.0001 <.0001 <.0001 Size Class 2 Canopy area (m2) Canopy volume (m3) Basal Diameter (cm) Height (m) Age (yr) 0.4822 0.3068 -0.8743 -0.2565 -2.1984 0.8731 0.6693 1.5586 2.1173 2.0046 0.7871 0.7923 0.7276 0.7158 0.6369 <.0001 <.0001 <.0001 <.0001 <.0001 Size class 3 Canopy area (m2) Canopy volume (m3) Basal Diameter (cm) Height (m) Age (yr) -0.2080 -0.2870 -2.1781 -1.1512 -4.3659 1.4052 1.0627 2.4856 3.3227 3.2395 0.8715 0.8537 0.7910 0.7536 0.7110 <.0001 <.0001 <.0001 <.0001 <.0001 Size Class 4 Canopy area (m2) Canopy volume (m3) Basal Diameter (cm) Height (m) Age (yr) 0.6328 -0.2483 -1.8446 -1.3060 -4.6612 1.4390 1.1171 2.3425 3.6853 3.4753 0.8579 0.8855 0.6595 0.8702 0.7681 <.0001 <.0001 <.0001 <.0001 <.0001 27 Lakeview Total Tree Dry Weight On the Lakeview site, all allometric variables were significant in predicting total tree biomass with height being the weakest predictor and canopy volume and basal diameter the strongest (Table 10, Fig.11 see Appendix for non-transformed relationships and graphs 99-103, 150, 155156). Total tree weight averaged 10 kg for each 1.0 m² of canopy area, and 2.2 kg for every 1.0 m³ in canopy volume. Total individual tree weight increased an average of 6.25 kg/yr. Table 10. Results of linear regression analysis predicting total tree dry weight (kg) with tree allometric variables at the Lakeview site. Measured variables were log transformed for regression analysis. Allometric variable Intercept Slope R2 P Canopy area (m2) Canopy volume (m3) Basal Diameter (cm) Height (m) Age (yr) 0.9008 0.8301 -1.3509 0.6177 -0.5808 1.0655 0.7770 2.3169 2.0727 1.6351 0.8840 0.8522 0.8698 0.5263 0.5516 <.0001 <.0001 <.0001 <.0001 <.0001 28 Lakeview Total Tree Weight vs Tree Canopy Area y = 1.0655x + 0.9009 (Transformed) Total Tree Weight (kg) R2 = 0.884 4 3 2 1 0 0 0.5 1 1.5 2 2.5 Tree Canopy Area (m²) Figure 11. Scatterplot and correlation between total tree weights and canopy area from the Lakeview site. Size Class Dry Weight Size Class Composition Biomass averages were calculated from the Lakeview site data for each of the four size classes. The largest proportion of the biomass was found in size class 1 and 4, while size class 2 had the smallest proportion of biomass. 29 Average Percentage of Size Class Weights for the Lakeview Site for Individual Western Juniper Trees 28% 34% Size Class 1 Size Class 2 Size Class 3 24% 14% Size Class 4 Figure 12. Average percentage of size class weights for the Lakeview site for individual western juniper trees. Allometric Variables and Dry Weight Similar to the Fort Rock site, all allometric and age variables were found to be significantly correlated with tree weight for each size class. The best predictors for estimating biomass for each size class were canopy area and volume, and basal diameter. The least effective allometric predictor for size classes 2, 3, and 4 was height. Consistently the weakest allometric predictors of biomass across size classes were height and age (Table 11, see Appendix for non-transformed relationships and graphs 104-123, 153, 159-160). 30 Table 11. Results of linear regression analysis predicting dry weight (kg) for each of the four size classes with tree allometric and age variables at the Lakeview site. Measured variables were log transformed for regression analysis. Allometric variable Intercept Slope R2 P Size class 1 Canopy area (m2) Canopy volume (m3) Basal Diameter (cm) Height (m) Age (yr) 0.7299 0.6719 -1.0963 0.5011 -0.2009 0.8589 0.6269 1.8747 1.6716 1.1697 0.7733 0.7467 0.7665 0.4608 0.3800 <.0001 <.0001 <.0001 .0002 .0010 Size Class 2 Canopy area (m2) Canopy volume (m3) Basal Diameter (cm) Height (m) Age (yr) 0.1944 0.1395 -1.94 0.0059 -1.0415 0.9607 0.6960 2.1547 1.7877 1.4179 0.8063 0.7672 0.8441 0.4393 0.4655 <.0001 <.0001 <.0001 .0003 .0002 Size class 3 Canopy area (m2) Canopy volume (m3) Basal Diameter (cm) Height (m) Age (yr) -0.2078 -0.3006 -3.2149 -0.6426 -2.3743 1.3601 0.9932 3.0413 2.7350 2.2422 0.7729 0.7470 0.8040 0.4917 0.5565 <.0001 <.0001 <.0001 <.0001 <.0001 Size Class 4 Canopy area (m2) Canopy volume (m3) Basal Diameter (cm) Height (m) Age (yr) 0.0860 0.0019 -2.2812 -0.2722 -1.9769 1.2263 0.8957 2.5251 2.4249 2.0832 0.6906 0.6678 0.6093 0.4248 0.5281 <.0001 <.0001 <.0001 .0004 <.0001 31 Combined Sites Total Tree Dry Weight Pooled across the two sites all allometric variables were significant in predicting total tree biomass, with age being the weakest predictor and canopy volume and area the strongest (Table 12, Fig. 13 see Appendix for nontransformed relationships and graphs 124-128, 151, 155-156). Total tree weight was 12 kg for each 1.0 m² in canopy area, and 2.6 kg for every 1.0 m³ in canopy volume. Total individual tree weight increased an average of 6.25 kg/yr. Table 12. Results of linear regression analysis predicting total tree dry weight (kg) with tree allometric and age variables for both sites combined. Allometric variable Intercept Slope R2 P Canopy area (m2) Canopy volume (m3) Basal Diameter (cm) Height (m) Age (yr) 1.0982 0.8793 -0.6432 0.2787 -1.3406 0.9731 0.7749 1.9057 2.4563 2.0060 0.8701 0.8883 0.8111 0.7096 0.5933 <.0001 <.0001 <.0001 <.0001 <.0001 32 Total Tree Weight (kg) Combined Sites Total Tree Weight vs. Tree Canopy Area (Transformed) y = 0.9731x + 1.0982 R2 = 0.8701 4 3 2 1 0 0 0.5 1 1.5 2 2.5 Tree Canopy Area (m²) Figure 13. Scatterplot and correlation between total tree weights and canopy area from both study sites combined. Size Class Dry Weight Size Class Composition Biomass averages were calculated for both sites combined for each of the four size classes. Size class 1 had the largest proportion of the biomass, while size class 2 had the smallest. 33 Average Percentage of Size Class Weights for the Combined Sites for Individual Western Juniper Trees 28% 34% Size Class 1 Size Class 2 Size Class 3 23% 15% Size Class 4 Figure 14. Average percentage of size class weights for both sites combined for individual western juniper trees. Allometric Variables and Dry Weight For both sites combined the weakest allometric predictor for each size class was age and the strongest were canopy volume and area. (Table 13, see Appendix for non-transformed relationships and graphs 129-148, 154, 161162). 34 Table 13. Results of linear regression analysis predicting dry weight (kg) for each of the four size classes with tree allometric and age variables for both sites combined. Measured variables were log transformed for regression analysis. Allometric variable Intercept Slope R2 P Size class 1 Canopy area (m2) Canopy volume (m3) Basal Diameter (cm) Height (m) Age (yr) 0.8607 0.6805 -0.5603 0.1940 -0.9786 0.8029 0.6392 1.5620 2.0148 1.5582 0.8185 0.8352 0.7529 0.6597 0.4946 <.0001 <.0001 <.0001 <.0001 <.0001 Size Class 2 Canopy area (m2) Canopy volume (m3) Basal Diameter (cm) Height (m) Age (yr) 0.5107 0.3282 -0.9608 -0.1404 -1.5039 0.7834 0.6274 1.5803 1.9666 1.6437 0.7268 0.7507 0.7189 0.5863 0.5134 <.0001 <.0001 <.0001 <.0001 <.0001 Size class 3 Canopy area (m2) Canopy volume (m3) Basal Diameter (cm) Height (m) Age (yr) 0.0812 -0.1882 -2.1919 -0.9543 -3.1671 1.2199 0.9686 2.4487 3.0895 2.6219 0.7802 0.7919 0.7640 0.6406 0.5783 <.0001 <.0001 <.0001 <.0001 <.0001 Size Class 4 Canopy area (m2) Canopy volume (m3) Basal Diameter (cm) Height (m) Age (yr) 0.2496 -0.0346 -1.7014 -0.8695 -3.0581 1.1796 0.9501 2.2042 3.1353 2.6289 0.7376 0.7705 0.6260 0.6671 0.5879 <.0001 <.0001 <.0001 <.0001 <.0001 35 DISCUSSION Our work shows tree allometric measurements can be used to estimate total tree biomass as well as the proportion of biomass contained within each of the four fuel classes. Although all allometric and age measurements were usually significant in providing estimates of tree biomass, canopy area and canopy volume were the most consistent at predicting biomass for the total tree as well as for each of the four size classes. Tree canopy cover, which can be estimated using remote sensing data, is the most useful variable for predicting tree biomass at the landscape level. Total Tree Weight Although both study sites contained large mature trees, tree canopies were open and less than 6% canopy cover (Figs. 2-5). Densities of trees >3m in height were also 20 or less/ha. Both study sites were in the early stages of woodland development. Estimated above-ground juniper biomass for these two sites were 2,482 kg/ha in Fort Rock and 5,410 kg/ha in Lakeview. However, both sites have the potential to support a considerably greater canopy of western juniper. Mean tree canopy cover of 48% and densities of 478/ha in late succession juniper stands for the mountain big sagebrush/ Idaho fescue plant association have been reported for closed stands of western juniper (Miller et. al 2000). In the mountain big sagebrush / bluebunch wheatgrass (Pseudoroegneria spicata ) plant association a maximum of 43 36 percent western juniper tree cover and 345 trees per hectare were reported for late successional woodlands (Miller et al. 2000). Fully developed woodlands on similar ecological sites with greater than 40% tree canopy cover (assuming 12 kg/m²) total tree biomass could exceed 48,000 kg/ha. Gholz (1980) estimated total dry weight for a juniper forest (stands containing >10% cover) averaged across canopy classes was 21,161.4 kg/ha. According to Gedney (1999) the proportion of western juniper woodlands for five canopy cover classes in Lake County were: 34.1% had a canopy cover of 10-19%, 11.7% were 20-29% cover, 13.2% were 30-39% cover, 17.0% were 40-49% cover, and 24.0% greater than 50% cover. Cover and density values for western juniper woodlands are similar to those reported for other woodlands in the Intermountain West. Canopy cover and density in a young woodland consisting of a mix of singleleaf pinyon (Pinus edulis) and Utah juniper (Juniperus monosperma) in north-central Arizona averaged 28.6% and 344 trees/ha (Grier et al. 1992). In mature stands mean canopy cover typically increased to 40.1% and density slightly decreasing to 320 trees/ha (Grier et al. 1992). In singleleaf pinyon – Utah juniper woodlands in north-central Arizona, total dry weight in a 350 year old forest was 54,050 kg/ha and a 90 year old forest 23,700 kg/ha (Grier et al. 1992). Using the formula of tree canopy area to predict biomass developed for the combined sites, average dry weights of individual trees with canopy 37 diameters of 2.7, 4.4, and 7 meters had respective average dry weights of 92.5, 184.5, and 410 kg (8.9, 9.9, and 7.25 kg/m²). Tiedmann and Klemmedson (2000) estimated tree biomass for western juniper based off tree canopy diameters in Central Oregon. Trees ranging from 2.1 to 3.3 m canopy diameter had an average total dry weight of 56.4 kg. For trees with canopy diameters ranging from 3.2 to 5.6 m and 5.3 to 8.7 m, estimated total weight was 212.3 kg and 433.6 kg, respectively. Size Class Dry Weight Since both study sites had an open canopy with a canopy cover of <6%, we decided to use the data for each size class and linearly raise the canopy cover to 40% to be able to make comparisons to other research that has been done. Using the derived 40% canopy cover on the Fort Rock site, size class 1 would have 16,800 kg/ha, size class 2 would have 7,200 kg/ha, size class 3 would have 10,560 kg/ha and for size class 4 it would be 13,440 kg/ha. Trees on the Lakeview site would have an average of 16,800 kg/ha for size class 1, 6,720 kg/ha for size class 11,520 kg/ha for size class 3 and 13,440 kg/ha for size class 4. The average biomass for both sites would have been: 16,320 kg/ha for size class 7,200 kg/ha for size class 11,040 kg/ha for size class 3, and 13,440 kg/ha for size class 4. Grier (1992) sampled mature pinyonjuniper forest with a 20% pinyon and 20% juniper canopy cover and found that foliage, which would be comparable to size class 1, had 4,390 kg/ha, size 38 class 2 had a weight of 3,330 kg/ha, size class 3 had 3,910 kg/ha, and size class 4 had 3,470 kg/ha. Grier (1992) sampled both live and dead fuels for his research, but for this research, live fuels were only accounted for. The drastic difference between this work, and what was found by Grier (1992), can most likely be attributed to our assumption that canopy cover and biomass increased proportionally. 39 MANAGEMENT IMPLICATIONS Results of this study indicate biomass of western juniper trees in Lake County, Oregon is closely correlated with canopy area and canopy volume. This correlation between biomass and these two allometric measurements could be utilized by land managers within the western juniper range in a number of ways. With >90% of the long lived western juniper trees having established post European settlement in southeastern Oregon central Nevada and western Utah (Miller et al. 2005, 2008), and the negative ecological and ecological ramifications of this encroachment well documented, land managers need to be able to make better inventories of juniper biomass on site (Miller et al. 2005). This not only enhances smoke management assessment of biomass for prescribed burns of early phase encroached sites, but also allows for appraisal for the feasibility of possible stewardship contracts utilizing biomass; such as is needed for determination of cogeneration power plants. With mechanical cutting of juniper trees currently costing $70-$80/acre in Lake County, and energy prices at an all time high, land managers and power companies could develop a mutually beneficial partnership in reclamation of juniper encroached sage steppe sites. Removal of juniper biomass for cogeneration power has the added benefit to land managers of removing downed-dead material from the site, and significantly reducing fuel loads, which if otherwise left on site could lead to devastating wildfires. Also using reported 40 nutrient and carbon concentrations in juniper, above ground pools contained in the tree layer can be estimated. 41 SCOPE OF INFERENCE AND LIMITATIONS The scope of inference for this study could potentially be the range of western juniper. Observations have shown growth forms of western juniper do not significantly change across sites or across its range as a result of different soils, climate, or topographic position. However, tree growth form does change on sites where a high density pulse of trees have established and intraspecific competition becomes a factor during the early stages of woodland development (Johnson and Miller 2006). These sites are typically characterized by small lower limbs, crown lift (lower limbs dying as trees increase in height), and tall often more gradually tapered canopies. The relationship between age and tree size also changes with site potential intraspecific competition, and age of the trees as they approach their maximum height. This potentially limits my research to stands in early to mid succession and possibly stands in approaching maximum canopy closure where tree growth form in similar to more open stands within this range, meaning trees growing with minimal competition. The primary limitation of this data set is due to having only two study sites. This significantly limits extrapolation to other sites in the same and different plant associations throughout the range of western juniper. Ideally it would have been nice to have 5 or more sites each in several plant associations and stands ranging from early-mid to late phase. 42 BIBLIOGRAPHIES Anderson, E.W., M.M. Borman, and W.C. Krueger. 1998. Ecological provinces of Oregon: a treatise on the basic ecological geography of the state. Oregon Agricultural Experiment Station, Oregon State University, Corvallis, OR. Azuma, David L.; Hiserote, Bruce A.; Dunham, Paul A. 2005. The western juniper resource of eastern Oregon, 1999. Resource Bulletin PNWRB-249. Portland, OR: United States Department of Agriculture, Forest Service, Pacific Northwest Research Station. 18p. Bates J.D., R.F. Miller, and T. Svejcar 2005. Long-Term Successional Trends Following Western Juniper Cutting. Journal of Rangeland Ecology & Management: Vol. 58, No. 5 pp. 533-541. Brown, J.K., R.F. Oberheu, and C.M. Johnston. 1982. Handbook for Inventorying Surface Fuels and Biomass in the Interior West. USDA Forest Service General Technical Report. INT-129, Intermountain Forest and Range Experimental Station, Ogden, Utah. Brown, J.K. 1978. Weight and density of crowns of Rocky Mountain conifers. USDA Forest Service Resource Paper INT-197, 56 p. Intermountain Forest and Range Experimental Station. Ogden, Utah. Buckhouse, J.C. and J.L. Mattison. 1980. Potential soil erosion of selected habitat types in the high desert region of central Oregon. Journal of Range Management 33:282-285. Eddleman, L.E., R.F. Miller, P.M. Miller, and P.L. Dysart. 1994 Western juniper woodlands of the Pacific Northwest: Science Assessment. Department of Rangeland Resources, Oregon State University, Corvallis, OR. Gedney, D.R., D.L. Azuma, C.L. Bolsinger, and N. McKay. 1999. Western Juniper in eastern Oregon. United States Forest Service General Technical Report NW-GTR-464. Geology.com [online]. 2005-2008. U.S. Map Collections. www.geology.com Gholz, H.L. 1980. Structure and productivity of Juniperus occidentalis in central Oregon. American Midland Naturalist. 103: 251-261. 43 Gifford, G.E., and F.E. Busby, eds. 1975 The pinyon-juniper ecosystem: a symposium 194 p. Utah Stat University, College of Natural Resources, Utah Agriculture Experiment Station, Logan. Grier, C.C., K.J. Elliot and D.G. McCullough. 1992. Biomass distribution and productivity of Pinus edulis-Juniperus monosperma woodlands of north-central Arizona. Journal of Forest Ecology and Management 50:331-350. Johnson, D.D., and R.F. Miller. 2006. Structure and development of expanding western juniper woodlands as influenced by two topographic variables. Journal of Forest Ecology and Management. 229: 7-15. Miller, E. L., R.O. Meeuwig, and J.D. Budy. 1981. Biomass of singleleaf pinyon and Utah juniper. USDA Forest Service Intermountain Forest and Range Experiment Station Resource Paper INT-273, 11 p. Miller, R.F., J.D. Bates, T.J. Svejcar, F.B. Pierson, L.E. Eddleman. 2005. Biology, ecology, and management of western juniper. Oregon State University Agricultural Experiment Station Technical Bulletin 152, Corvallis, OR. Miller, R.F., T.J. Svejcar, and J.A. Rose. 2000. Impacts of western juniper on plant community composition and structure. Journal of Range Management 53:574 -585. Pieper, R.D. 1990. Overstory-understory relations in pinyon-juniper woodlands in New Mexico. Journal of Range Management 43:413415. Shiflet, Thomas N., ed. 1994. Rangeland cover types of the United States. Denver, CO: Society for Range Management. 152 p. Tiedemann, A.R., and J.O. Klemmedson. 2000. Biomass and Nutrient Distribution and System Nutrient Budget for Western Juniper in Central Oregon. Northwest Science. 12-24. United States Department of Agriculture Natural Resources Conservation Service [online]. 1989 – 2008. Ecological Site Description. http://esis.sc.egov.usda.gov/esis_report/. 44 Vasek, F.C. 1966. The distribution and taxonomy of three western junipers. Brittonia 18:350-372. Western Regional Climate Center [online]. 2008. Historical Climate Information. www.wrcc.dri.edu. 45 APPENDICES 46 Appendix 1. Study site characteristics. Lakeview Fort Rock Slope (%) 2 to 15 1 to 8 Aspect North NA Elevation (m) 5000m 4700 to 5000m Terrain Foot slopes and benches on hill Lava plateaus and buttes Topography Soil Booth Complex Connleyhills Parent Material Colluvium from basalt, rhyolite and tuff Eolian deposits and Volcanic ash eolian residuum weathered deposits from volcanic from basalt and tuff rock over igneous residuum weathered from basalt and tuff 0 to 4 inches : very dark brown very stony loam 0 to 4 inches: gravelly ashy sandy loam 0 to 3 inches: stony ashy sandy loam 4 to 11 inches: ashy coarse sandy loam 3 to 8 inches: gravelly ashy sandy clay loam Typical Profile: 4 to 12 inches: very dark brown clay 12 to 24 inches: dark brown clay 24 to 26 inches: olive brown partially weathered tuff 26 inches: unweathered tuff Drainage 11 to 15 inches: very cobbly ashy clay loam 15 to 22 inches: very cobbly clay Moonbeam 8 to 14 inches: clay 14 to 18 inches: clay 22 to 29 inches: clay 18 to 27 inches: cemented material 29 to 32 inches: very stony ashy clay loam 27 to 31 inches: bedrock 32 to 43 inches: bedrock 47 Class: Well drained Well drained Well drained Appendix 1. Continued Climate Mean Annual Precipitation 14 to 18 inches 9 to 12 inches Mean Annual Air Temperature 45 to 47 degrees Fahrenheit 45 to 55 degrees Fahrenheit Minimum Temperature -11 degrees Fahrenheit -15 degrees Fahrenheit Maximum Temperature 103 degrees Fahrenheit 105 degrees Fahrenheit Plant Association Idaho fescue, Antelope bitterbrush, Mountain big sagebrush, Basin wildrye, Bluebunch wheatgrass Idaho fescue, Bluebunch wheatgrass, Mountain big sage, Western juniper, Sandberg bluegrass Dominant Plant Idaho fescue, Mountain big sage, Western juniper Idaho fescue, Western juniper, Mountain big sage Vegetation 48 Appendix 2. Scatterplot and correlation between the total tree weights and tree height (transformed) from the Fort Rock site. Fort Rock Total Tree Weight vs Tree Height (Transformed) y = 2.7033x + 0.0684 R2 = 0.8526 3 Tree Weight 2.5 2 1.5 1 0.5 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Tree Height Appendix 3. Scatterplot and correlation between the total tree weights and tree basal diameter (transformed) from the Fort Rock site. Fort Rock Total Tree Weight vs Tree Basal Diameter y = 1.9215x - 0.621 (Transformed) R2 = 0.8079 3 Tree Weight 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Tree Basal Diameter 1.4 1.6 1.8 2 49 Appendix 4. Scatterplot and correlation between total tree weights and tree age (transformed) from the Fort Rock site. Fort Rock Total Tree Weight vs Tree Age (Transformed) y = 2.5989x - 2.4816 R2 = 0.7822 3 Tree Weight 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 Tree Age Appendix 5. Scatterplot and correlation between total tree weights and canopy volume (transformed) from the Fort Rock site. Fort Rock Total Tree Weight vs Tree Canopy Volume y = 0.853x + 0.7902 (Transformed) Total Tree Weight (kg) R2 = 0.94 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 Tree Canopy Volume (m³) 2 2.5 50 Appendix 6. Scatterplot and correlation between size class 1 weights and tree height (transformed) from the Fort Rock site. Size Class 1 Weight Fort Rock Size Class 1 Weight vs Tree Height (Transformed) y = 2.2248x + 0.0114 R2 = 0.8214 2.5 2 1.5 1 0.5 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Tree Height Appendix 7. Scatterplot and correlation between size class 1 weights and tree basal diameter (transformed) from the Fort Rock site. Fort Rock Size Class 1 Weight vs Tree Basal Diameter (Transformed) y = 1.5639x - 0.5307 Size Class 1 Weight R2 = 0.7613 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Tree Basal Diameter 1.4 1.6 1.8 2 51 Appendix 8. Scatterplot and correlation between size class 1 weights and tree age (transformed) from the Fort Rock site. Size Class 1 Weight Fort Rock Size Class 1 Weight vs Tree Age (Transformed) y = 2.1663x - 2.1362 R2 = 0.7731 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 Tree Age Appendix 9. Scatterplot and correlation between size class 1 weights and canopy area (transformed) from the Fort Rock site. Fort Rock Size Class 1 Weight vs Tree Canopy Area y = 0.9224x + 0.7827 (Transformed) Size Class 1 Weight (kg) R2 = 0.9128 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 Tree Canopy Area (m²) 1.2 1.4 1.6 52 Appendix 10. Scatterplot and correlation between size class 1 weights and canopy volume (transformed) from the Fort Rock site. Fort Rock Size Class 1 Weight vs. Tree Canopy Volume (Transformed) y = 0.7068x + 0.5978 Size Class 1 Weight R2 = 0.9181 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 Canopy Volume Appendix 11. Scatterplot and correlation between size class 2 weights and tree height (transformed) from the Fort Rock site. Size Class 2 Weight Fort Rock Size Class 2 Weight vs Tree Height (Transformed) y = 2.1173x - 0.2565 R2 = 0.7158 2 1.5 1 0.5 0 0 0.1 0.2 0.3 0.4 0.5 Tree Height 0.6 0.7 0.8 0.9 1 53 Appendix 12. Scatterplot and correlation between size class 2 weights and basal diameter (transformed) from the Fort Rock site. Fort Rock Size Class 2 Weight vs Tree Basal Diameter y = 1.5586x - 0.8743 (Transformed) Size Class 2 Weight R2 = 0.7276 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 Tree Basal Diameter Appendix 13. Scatterplot and correlation between size class 2 weights and tree age (transformed) from the Fort Rock site. Size Class 2 Weight Fort Rock Size Class 2 Weight vs Tree Age (Transformed) y = 2.0046x - 2.1984 R2 = 0.6369 2 1.5 1 0.5 0 0 0.5 1 1.5 Tree Age 2 2.5 54 Appendix 14. Scatterplot and correlation between size class 2 weights and tree canopy area (transformed) from the Fort Rock site. Size Class 2 Weight (kg) Fort Rock Size Class 2 Weight vs Tree Canopy Area (Transformed) y = 0.8731x + 0.4823 R2 = 0.7871 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 Tree Canopy Area (m²) Appendix 15. Scatterplot and correlation between size class 2 weights and tree canopy volume (transformed) from the Fort Rock site. Fort Rock Size Class 2 Weight vs. Tree Canopy Volume (Transformed) y = 0.6693x + 0.307 Size Class 2 Weight R2 = 0.792 2 1.5 1 0.5 0 0 0.5 1 1.5 Canopy Volume 2 2.5 55 Appendix 16. Scatterplot and correlation between size class 3 weights and tree height (transformed) from the Fort Rock site. Size Class 3 Weight Fort Rock Size Class 3 Weight vs Tree Height (Transformed) y = 3.3227x - 1.1512 R2 = 0.7536 2.5 2 1.5 1 0.5 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Tree Height Appendix 17. Scatterplot and correlation between size class 3 weights and basal diameter (transformed) from the Fort Rock site. Fort Rock Size Class 3 Weight vs Tree Basal Diameter (Transformed) y = 2.4857x - 2.1781 Size Class 3 Weight R2 = 0.791 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Tree Basal Diameter 1.4 1.6 1.8 2 56 Appendix 18. Scatterplot and correlation between size class 3 weights and tree age (transformed) from the Fort Rock site. Size Class 3 Weight Fort Rock Size Class 3 Weight vs Tree Age (Transformed) y = 3.2395x - 4.3659 R2 = 0.711 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 Tree Age Appendix 19. Scatterplot and correlation between size class 3 weights and tree canopy area (transformed) from the Fort Rock site. Size Class 3 Weight (kg) Fort Rock Size Class 3 Weight vs Tree Canopy Area (Transformed) y = 1.4053x - 0.028 R2 = 0.8715 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 Tree Canopy Area (m²) 1.2 1.4 1.6 57 Appendix 20. Scatterplot and correlation between size class 3 weights and tree canopy volume (transformed) from the Fort Rock site. Fort Rock Size Class 3 Weight vs. Tree Canopy Volume (Transformed) y = 0.9399x - 0.247 Size Class 3 Weight R2 = 0.8501 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 Canopy Volume Appendix 21. Scatterplot and correlation between size class 4 weights and tree height (transformed) from the Fort Rock site. Size Class 4 Weight Fort Rock Size Class 4 Weight vs Tree Height (Transformed) y = 3.6853x - 1.306 R2 = 0.8702 2.5 2 1.5 1 0.5 0 0 0.1 0.2 0.3 0.4 0.5 Tree Height 0.6 0.7 0.8 0.9 1 58 Appendix 22. Scatterplot and correlation between size class 4 weights and basal diameter (transformed) from the Fort Rock site. Fort Rock Size Class 4 Weight vs Tree Basal Diameter y = 2.3425x - 1.8446 (Transformed) Size Class 4 Weight R2 = 0.6595 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 Tree Basal Diameter Appendix 23. Scatterplot correlation between size class 4 weights and tree age (transformed) from the Fort Rock site. Size Class 4 Weight Fort Rock Size Class 4 Weight vs Tree Age (Transformed) y = 3.4753x - 4.6612 R2 = 0.7681 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 Tree Age 2 2.5 59 Appendix 24. Scatterplot and correlation between size class 4 weights and tree canopy area (transformed) from the Fort Rock site. Size Class 4 Weight (kg) Fort Rock Size Class 4 Weight vs Tree Canopy Area (Transformed) y = 1.4391x + 0.0633 R2 = 0.8579 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 Tree Canopy Area (m²) Appendix 25. Scatterplot and correlation between size class 4 weights and tree canopy volume (transformed) from the Fort Rock site. Fort Rock Size Class 4 Weight vs. Tree Canopy Volume (Transformed) y = 0.7929x + 0.3807 Size Class 4 Weight R2 = 0.8861 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 Canopy Volume 2 2.5 60 Appendix 26. Scatterplot and correlation between total tree weight and tree height (transformed) from the Lakeview site. Tree Weight Lakeview Total Tree Weight vs Tree Height (Transformed) y = 2.0727x + 0.6177 R2 = 0.5263 3.5 3 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Tree Height Appendix 27. Scatterplot and correlation between total tree weight and tree basal diameter (transformed) from the Lakeview site. Lakeview Total Tree Weight vs Tree Basal Diameter y = 2.3169x - 1.3509 (Transformed) Tree Weight R2 = 0.8698 3.5 3 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Tree Basal Diameter 1.4 1.6 1.8 2 61 Appendix 28. Scatterplot and correlation between total tree weight and tree age (transformed) from the Lakeview site. Tree Weight Lakeview Total Tree Weight vs Tree Age (Transformed) y = 1.6351x - 0.5808 R2 = 0.5516 3.5 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 Tree Age Appendix 29. Scatterplot showing the correlation between total tree weight and tree canopy volume measurements from the Lakeview site. Lakeview Total Tree Weight vs. Tree Canopy Volume (Transformed) y = 1.0967x - 0.6265 R2 = 0.8522 Tree Weight 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 Canopy Volume 2.5 3 3.5 62 Appendix 30. Scatterplot and correlation between size class 1 weights and tree height (transformed) from the Lakeview site. Size Class 1 Weight Lakeview Size Class 1 Weight vs Tree Height (Transformed) y = 1.6716x + 0.5011 R2 = 0.4608 3 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Tree Height Appendix 31. Scatterplot and correlation between size class 1 weights and tree basal diameter (transformed) from the Lakeview site. Lakeview Size Class 1 Weight vs Tree Basal Diameter (Transformed) y = 1.8747x - 1.0963 Size Class 1 Weight R2 = 0.7665 3 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Tree Basal Diameter 1.4 1.6 1.8 2 63 Appendix 32. Scatterplot and correlation between size class 1 weights and tree age (transformed) from the Lakeview site. Size Class 1 Weight Lakeview Size Class 1 Weight vs Tree Age (Transformed) y = 1.1697x - 0.2009 R2 = 0.38 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 Tree Age Appendix 33. Scatterplot and correlation between size class 1 weights and tree canopy area (transformed) from the Lakeview site. Size Class 1 Weight (kg) Lakeview Size Class 1 Weight vs Tree Canopy Area (Transformed) y = 0.8589x + 0.7299 R2 = 0.7733 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 Tree Canopy Area (m²) 2 2.5 64 Appendix 34. Scatterplot and correlation between size class 1 weights and tree canopy volume (transformed) from the Lakeview site. Lakeview Size Class 1 Weight vs. Tree Canopy Volume (Transformed) y = 1.191x - 0.3136 Size Class 1 Weight R2 = 0.7467 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 3 Canopy Volume Appendix 35. Scatterplot and correlation between size class 2 weights and tree height (transformed) from the Lakeview site. Size Class 2 Weight Lakeview Size Class 2 Weight vs Tree Height (Transformed) y = 1.7877x + 0.0059 R2 = 0.4393 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 Tree Height 0.8 1 1.2 65 Appendix 36. Scatterplot and correlation between size class 2 weights and tree basal diameter (transformed) from the Lakeview site. Lakeview Size Class 2 Weight vs Tree Basal Diameter y = 2.1547x - 1.94 (Transformed) Size Class 2 Weight R2 = 0.8441 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 Tree Basal Diameter Appendix 37. Scatterplot and correlation between size class 2 weights and tree age (transformed) from the Lakeview site. Size Class 2 Weight Lakeview Size Class 2 Weight vs Tree Age (Transformed) y = 1.418x - 1.0415 R2 = 0.4655 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 Tree Age 2 2.5 66 Appendix 38. Scatterplot and correlation between size class 2 weights and tree canopy area (transformed) from the Lakeview site. Size Class 2 Weight (kg) Lakeview Size Class 2 Weight vs Tree Canopy Area (Transformed) y = 0.9607x + 0.1945 R2 = 0.8063 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 Tree Canopy Area (m²) Appendix 39. Scatterplot and correlation between size class 2 weights and tree canopy volume (transformed) from the Lakeview site. Lakeview Size Class 2 Weight vs. Tree Canopy Volume (Transformed) y = 1.1022x + 0.2935 Size Class 2 Weight R2 = 0.7672 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 Canopy Volume 2 2.5 67 Appendix 40. Scatterplot and correlation between size class 3 weights and tree height (transformed) from the Lakeview site. Size Class 3 Weight Lakeview Size Class 3 Weight vs Tree Height (Transformed) y = 2.735x - 0.6426 R2 = 0.4917 3 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Tree Height Appendix 41. Scatterplot and correlation between size class 3 weights and tree basal diameter (transformed) from the Lakeview site. Lakeview Size Class 3 Weight vs Tree Basal Diameter (Transformed) y = 3.0413x - 3.215 Size Class 3 Weight R2 = 0.804 3 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Tree Basal Diameter 1.4 1.6 1.8 2 68 Appendix 42. Scatterplot and correlation between size class 3 weights and tree age (transformed) from the Lakeview site. Size Class 3 Weight Lakeview Size Class 3 Weight vs Tree Age (Transformed) y = 2.2422x - 2.3744 R2 = 0.5565 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 Tree Age Appendix 43. Scatterplot and correlation between size class 3 weights and tree canopy area (transformed) from the Lakeview site. Size Class 3 Weight (kg) Lakeview Size Class 3 Weight vs Tree Canopy Area (Transformed) y = 1.3602x - 0.2078 R2 = 0.7729 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 Tree Canopy Area (m²) 2 2.5 69 Appendix 44. Scatterplot and correlation between size class 3 weights and tree canopy volume (transformed) from the Lakeview site. Lakeview Size Class 3 Weight vs. Tree Canopy Volume (Transformed) y = 0.7521x + 0.7121 Size Class 3 Weight R2 = 0.747 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 3 Canopy Volume Appendix 45. Scatterplot and correlation between size class 4 weights and tree height (transformed) from the Lakeview site. Size Class 4 Weight Lakeview Size Class 4 Weight vs Tree Height (Transformed) y = 2.4249x - 0.2722 R2 = 0.4248 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 Tree Height 0.8 1 1.2 70 Appendix 46. Scatterplot and correlation between size class 4 weights and tree basal diameter (transformed) from the Lakeview site. Lakeview Size Class 4 Weight vs Tree Basal Diameter (Transformed) y = 2.5251x - 2.2813 Size Class 4 Weight R2 = 0.6093 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 Tree Basal Diameter Appendix 47. Scatterplot and correlation between size class 4 weights and tree age (transformed) from the Lakeview site. Size Class 4 Weight Lakeview Size Class 4 Weight vs Tree Age (Transformed) y = 2.0832x - 1.9769 R2 = 0.5281 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 Tree Age 2 2.5 71 Appendix 48. Scatterplot and correlation between size class 4 weights and tree canopy area (transformed) from the Lakeview site. Size Class 4 Weight (kg) Lakeview Size Class 4 Weight vs Tree Canopy Area (Transformed) y = 1.2263x + 0.0861 R2 = 0.6906 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 Tree Canopy Area (m²) Appendix 49. Scatterplot and correlation between size class 4 weights and tree canopy volume (transformed) from the Lakeview site. Lakeview Size Class 4 Weight vs. Tree Canopy Volume (Transformed) y = 0.7455x + 0.6367 Size Class 4 Weight R2 = 0.6678 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 Canopy Volume 2 2.5 72 Appendix 50. Scatterplot and correlation between total tree weight and tree height (transformed) for both sites combined. Tree Weight Combined Sites Total Tree Weight vs Tree Height (Transformed) y = 2.4563x + 0.2787 R2 = 0.7096 3.5 3 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Tree Height Appendix 51. Scatterplot and correlation between total tree weight and tree basal diameter (transformed) for both sites combined. Combined Sites Total Tree Weight vs Tree Basal Diameter (Transformed) y = 1.9058x - 0.6432 Tree Weight R2 = 0.8111 3.5 3 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Tree Basal Diameter 1.4 1.6 1.8 2 73 Appendix 52. Scatterplot and correlation between total tree weight and tree age (transformed) for both sites combined. Tree Weight Combined Sites Total Tree Weight vs Tree Age (Transformed) y = 2.0061x - 1.3406 R2 = 0.5933 3.5 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 Tree Age Appendix 53. Scatterplot and correlation between total tree weight and tree canopy volume (transformed) for both sites combined. Combined Sites Total Tree Weight vs. Tree Canopy Volume (Transformed) y = 1.1464x - 0.813 R2 = 0.8883 Total Tree Weight 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 Canopy Volume 2.5 3 3.5 74 Appendix 54. Scatterplot and correlation between size class 1 weights and tree height (transformed) for both sites combined. Size Class 1 Weight Combined Sites Size Class 1 Weight vs Tree Height (Transformed) y = 2.0148x + 0.194 R2 = 0.6597 3 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Tree Height Appendix 55. Scatterplot and correlation between size class 1 weights and tree basal diameter (transformed) for both sites combined. Combined Sites Size Class 1 Weight vs Tree Basal Diameter (Transformed) y = 1.562x - 0.5603 Size Class 1 Weight R2 = 0.7529 3 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Tree Basal Diameter 1.4 1.6 1.8 2 75 Appendix 56. Scatterplot and correlation between size class 1 weights and tree age (transformed) for both sites combined. Size Class 1 Weight Combined Sites Size Class 1 Weight vs Tree Age (Transformed) y = 1.5582x - 0.9786 R2 = 0.4946 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 Tree Basal Age Appendix 57. Scatterplot and correlation between size class 1 weights and tree canopy area (transformed) for both sites combined. Size Class 1 Weight (kg) Combined Sites Size Class 1 Weight vs Tree Canopy Area (Transformed) y = 0.803x + 0.8608 R2 = 0.8185 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 Tree Canopy Area (m²) 2 2.5 76 Appendix 58. Scatterplot and correlation between size class 1 weights and tree canopy volume (transformed) for both sites combined. Combined Sites Size Class 1 Weight vs. Tree Canopy Volume (Transformed) y = 1.3066x - 0.6012 Size Class 1 Weight R2 = 0.8351 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 3 Canopy Volume Appendix 59. Scatterplot and correlation between size class 2 weights and tree height (transformed) for both sites combined. Size Class 2 Weight Combined Sites Size Class 2 Weight vs Tree Height (Transformed) y = 1.9666x - 0.1404 R2 = 0.5863 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 Tree Height 0.8 1 1.2 77 Appendix 60. Scatterplot and correlation between size class 2 weights and tree basal diameter (transformed) for both sites combined. Combined Sites Size Class 2 Weight vs Tree Basal Diameter (Transformed) y = 1.5803x - 0.9608 Size Class 2 Weight R2 = 0.7189 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 Tree Basal Diameter Appendix 61. Scatterplot and correlation between size class 2 weights and tree age (transformed) for both sites combined. Size Class 2 Weight Combined Sites Size Class 2 Weight vs Tree Age (Transformed) y = 1.6437x - 1.5039 R2 = 0.5134 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 Tree Age 2 2.5 78 Appendix 62. Scatterplot showing and between size class 2 weights and tree canopy area (transformed) for both sites combined. Combined Sites Size Class 2 Weight vs Tree Canopy Area (Transformed) y = 0.7834x + 0.5107 Size Class 2 Weight (kg) R2 = 0.7268 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 Tree Canopy Area (m²) Appendix 63. Scatterplot and correlation between size class 2 weights and tree canopy volume (transformed) for both sites combined. Combined Sites Size Class 2 Weight vs. Tree Canopy Volume (Transformed) y = 1.1964x + 0.0431 Size Class 2 Weight R2 = 0.7506 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 Canopy Volume 2 2.5 79 Appendix 64. Scatterplot and correlation between size class 3 weights and tree height (transformed) for both sites combined. Size Class 3 Weight Combined Sites Size Class 3 Weight vs Tree Height (Transformed) y = 3.0895x - 0.9544 R2 = 0.6406 3 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Tree Height Appendix 65. Scatterplot and correlation between size class 3 weights and tree basal diameter (transformed) for both sites combined. Combined Sites Size Class 3 Weight vs Tree Basal Diameter (Transformed) y = 2.4487x - 2.1919 Size Class 3 Weight R2 = 0.764 3 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Tree Basal Diameter 1.4 1.6 1.8 2 80 Appendix 66. Scatterplot and correlation between size class 3 weights and tree age (transformed) for both sites combined. Size Class 3 Weight Combined Sites Size Class 3 Weight vs Tree Age (Transformed) y = 2.622x - 3.1671 R2 = 0.5783 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 Tree Age Appendix 67. Scatterplot and correlation between size class 3 weights and tree canopy area (transformed) for both sites combined. Combined Sites Size Class 3 Weight vs Tree Canopy Area y = 1.2199x + 0.0812 (Transformed) Size Class 3 Weight (kg) R2 = 0.7802 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 Tree Canopy Area (m²) 2 2.5 81 Appendix 68. Scatterplot and correlation between size class 3 weights and tree canopy volume (transformed) for both sites combined. Combined Sites Size Class 3 Weight vs. Tree Canopy Volume (Transformed) y = 0.8176x + 0.5176 Size Class 3 Weight R2 = 0.7918 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 3 Canopy Volume Appendix 69. Scatterplot and correlation between size class 4 weights and tree height (transformed) for both sites combined. Size Class 4 Weight Combined Sites Size Class 4 Weight vs Tree Height (Transformed) y = 3.1354x - 0.8695 R2 = 0.6671 3 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 Tree Height 0.8 1 1.2 82 Appendix 70. Scatterplot and correlation between size class 4 weights and tree basal diameter (transformed) for both sites combined. Combined Sites Size Class 4 Weight vs Tree Basal Diameter y = 2.2042x - 1.7014 (Transformed) Size Class 4 Weight R2 = 0.626 2.5 2 1.5 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 Tree Basal Diameter Appendix 71. Scatterplot and correlation between size class 4 weights and tree age (transformed) for both sites combined. Size Class 4 Weight Combined Sites Size Class 4 Weight vs Tree Age (Transformed) y = 2.6289x - 3.0582 R2 = 0.5879 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 Tree Age 2 2.5 83 Appendix 72. Scatterplot and correlation between size class 4 weights and tree canopy area (transformed) for both sites combined. Combined Sites Size Class 4 Weight vs Tree Canopy Area y = 1.1796x + 0.2496 (Transformed) Size Class 4 Weight (kg) R2 = 0.7376 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 2.5 Tree Canopy Area (m²) Appendix 73. Scatterplot and correlation between size class 4 weights and tree canopy volume (transformed) for both sites combined. Combined Sites Size Class 4 Weight vs. Tree Canopy Volume (Transformed) y = 0.811x + 0.429 Size Class 4 Weight R2 = 0.7705 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 Canopy Volume 2 2.5 84 Scatterplot and correlation between total tree weight and tree height for the Fort Rock site. Appendix 74. Fort Rock Total Tree Weight vs Tree Height Tree Weight (kg) y = 69.321x - 238.74 R2 = 0.7058 700 600 500 400 300 200 100 0 0 1 2 3 4 5 6 7 8 9 10 Tree Height (m) Appendix 75. Scatterplot and correlation between total tree weight and tree basal diameter for the Fort Rock site. Fort Rock Total Tree Weight vs Tree Basal Diameter Tree Weight (kg) y = 10.926x - 138.92 R2 = 0.8129 700 600 500 400 300 200 100 0 0 10 20 30 40 Tree Basal Diameter (cm) 50 60 70 85 Scatterplot correlation between total tree weight and tree age for the Fort Rock site. Appendix 76. Fort Rock Total Tree Weight vs Tree Age Tree Weight (kg) y = 6.894x - 247.82 R2 = 0.6424 700 600 500 400 300 200 100 0 0 10 20 30 40 50 60 70 80 90 Tree Age (yr) Appendix 77. Scatterplot and correlation between total tree weight and tree canopy area for the Fort Rock site. Total Tree Weight (kg) Fort Rock Total Tree Weight vs Tree Canopy Area y = 15.502x - 15.375 R2 = 0.8711 700 600 500 400 300 200 100 0 0 5 10 15 20 Tree Canopy Area (m²) 25 30 35 86 Scatterplot and correlation between total tree weight and tree canopy volume for the Fort Rock site. Appendix 78. Fort Rock Total Tree Weight vs. Tree Canopy Volume y = 0.2877x + 1.6555 R2 = 0.8485 Tree Weight (kg) 200 150 100 50 0 0 100 200 300 400 500 600 700 Canopy Volume (m³) Scatterplot and correlation between size class 1 weights and tree height for the Fort Rock site. Appendix 79. Size Class 1 Weight (kg) Fort Rock Size Class 1 Weight vs. Tree Height y = 20.297x - 59.734 R2 = 0.7525 180 160 140 120 100 80 60 40 20 0 0 1 2 3 4 5 Tree Height (m) 6 7 8 9 10 87 Scatterplot and correlation between size class 1 weights and tree basal diameter for the Fort Rock site. Appendix 80. Fort Rock Size Class 1 Weight vs. Tree Basal Diameter y = 2.9628x - 23.442 Size Class 1 Weight (kg) R2 = 0.7434 180 160 140 120 100 80 60 40 20 0 0 10 20 30 40 50 60 70 Tree Basal Diameter (cm) Scatterplot and correlation between size class 1 weights and tree age for the Fort Rock site. Appendix 81. Size Class 1 Weight (kg) Fort Rock Size Class 1 Weight vs. Tree Age y = 2.0236x - 62.715 R2 = 0.6883 180 160 140 120 100 80 60 40 20 0 0 10 20 30 40 50 Tree Age (yr) 60 70 80 90 88 Appendix 82. Scatterplot and correlation between size class 1 weights and tree canopy area for the Fort Rock site. Size Class 1 Weight (kg) Fort Rock Size Class 1 Weight vs Tree Canopy Area y = 4.3287x + 8.4195 R2 = 0.8448 200 150 100 50 0 0 5 10 15 20 25 30 35 Tree Canopy Area (m²) Appendix 83. Scatterplot and correlation between size class 1 weights and tree canopy volume for the Fort Rock site. Fort Rock Size Class 1 Weight vs. Tree Canopy Volume Size Class 1 Weight (kg) y = 1.0026x - 9.6351 R2 = 0.8285 200 150 100 50 0 0 20 40 60 80 100 Canopy Volume (m³) 120 140 160 180 89 Appendix 84. Scatterplot and correlation between size class 2 weights and tree height for the Fort Rock site. Size Class 2 Weight (kg) Fort Rock Size Class 2 Weight vs. Tree Height y = 8.3478x - 22.214 R2 = 0.5896 90 80 70 60 50 40 30 20 10 0 0 1 2 3 4 5 6 7 8 9 10 Tree Height (m) Appendix 85. Scatterplot and correlation between size class 2 weights and tree basal diameter for the Fort Rock site. Fort Rock Size Class 2 Weight vs. Tree Basal Diameter y = 1.3523x - 11.288 Size Class 2 Weight (kg) R2 = 0.7173 90 80 70 60 50 40 30 20 10 0 0 10 20 30 40 Tree Basal Diameter (cm) 50 60 70 90 Appendix 86. Scatterplot and correlation between size class 2 weights and tree age for the Fort Rock site. Size Class 2 Weight (kg) Fort Rock Size Class 2 Weight vs. Tree Age y = 0.8188x - 22.588 R2 = 0.5219 90 80 70 60 50 40 30 20 10 0 0 10 20 30 40 50 60 70 80 90 Tree Age (yr) Appendix 87. Scatterplot and correlation between size class 2 weights and tree canopy area for the Fort Rock site. Size Class 2 Weight (kg) Fort Rock Size Class 2 Weight vs Tree Canopy Area y = 1.8265x + 5.2108 R2 = 0.6966 100 80 60 40 20 0 0 5 10 15 20 Tree Canopy Area (m²) 25 30 35 91 Scatterplot and correlation between size class 2 weights and tree canopy volume for the Fort Rock site. Appendix 88. Fort Rock Size Class 2 Weight vs. Tree Canopy Volume Size Class 2 Weight (kg) y = 1.9404x - 0.8724 R2 = 0.67 200 150 100 50 0 0 10 20 30 40 50 60 70 80 90 Canopy Volume (m³) Scatterplot and correlation between size class 3 weights and tree height for the Fort Rock site. Appendix 89. Size Class 3 Weight (kg) Fort Rock Size Class 3 Weight vs. Tree Height y = 18.133x - 70.992 R2 = 0.6074 180 160 140 120 100 80 60 40 20 0 0 1 2 3 4 5 Tree Height (m) 6 7 8 9 10 92 Scatterplot and correlation between size class 3 weights and tree basal diameter for the Fort Rock site. Appendix 90. Fort Rock Size Class 3 Weight vs. Tree Basal Diameter y = 3.0324x - 50.098 Size Class 3 Weight (kg) R2 = 0.7876 180 160 140 120 100 80 60 40 20 0 0 10 20 30 40 50 60 70 Tree Basal Diameter (cm) Scatterplot correlation between size class 3 weights and tree age for the Fort Rock site. Appendix 91. Size Class 3 Weight (kg) Fort Rock Size Class 3 Weight vs. Tree Age y = 1.7908x - 72.574 R2 = 0.5451 180 160 140 120 100 80 60 40 20 0 0 10 20 30 40 50 Tree Age (yr) 60 70 80 90 93 Appendix 92. Scatterplot and correlation between size class 3 weights and tree canopy area for the Fort Rock site. Size Class 3 Weight (kg) Fort Rock Size Class 3 Weight vs Tree Canopy Area y = 4.2786x - 15.496 R2 = 0.8347 200 150 100 50 0 -50 0 5 10 15 20 25 30 35 Tree Canopy Area (m²) Appendix 93. Scatterplot and correlation between size class 3 weights and tree canopy volume for the Fort Rock site. Fort Rock Size Class 3 Weight vs. Tree Canopy Volume Size Class 3 Weight (kg) y = 0.9997x + 15.119 R2 = 0.8145 200 150 100 50 0 0 20 40 60 80 100 Canopy Volume (m³) 120 140 160 180 94 Scatterplot and correlation between size class 4 weights and tree height for the Fort Rock site. Appendix 94. Size Class 4 Weight (kg) Fort Rock Size Class 4 Weight vs. Tree Height y = 22.534x - 85.757 R2 = 0.6841 250 200 150 100 50 0 0 1 2 3 4 5 6 7 8 9 10 Tree Height (m) Appendix 95. Scatterplot correlation between size class 4 weights and tree basal diameter for the Fort Rock site. Size Class 4 Weight (kg) Fort Rock Size Class 4 Weight vs. Tree Basal Diameter y = 3.5776x - 54.085 R2 = 0.7994 250 200 150 100 50 0 0 10 20 30 40 Tree Basal Diameter (cm) 50 60 70 95 Scatterplot and correlation between size class 4 weights and tree age for the Fort Rock site. Appendix 96. Size Class 4 Weight (kg) Fort Rock Size Class 4 Weight vs. Tree Age y = 2.2602x - 89.924 R2 = 0.6333 250 200 150 100 50 0 0 10 20 30 40 50 60 70 80 90 Tree Age (yr) Appendix 97. Scatterplot and correlation between size class 4 weights and tree canopy area for the Fort Rock site. Size Class 4 Weight (kg) Fort Rock Size Class 4 Weight vs Tree Canopy Area y = 5.0639x - 13.475 R2 = 0.8527 250 200 150 100 50 0 0 5 10 15 20 Tree Canopy Area (m²) 25 30 35 96 Appendix 98. Scatterplot and correlation between size class 4 weights and tree canopy volume for the Fort Rock site. Fort Rock Size Class 4 Weight vs. Tree Canopy Volume Size Class 4 Weight (kg) y = 0.8611x + 10.143 R2 = 0.8285 200 150 100 50 0 0 50 100 150 200 250 Canopy Volume (m³) Appendix 99. Scatterplot and correlation between total tree weight and tree height for the Lakeview site. Tree Weight (kg) Lakeview Total Tree Weight vs. Tree Height y = 76.236x - 255.98 R2 = 0.5757 900 800 700 600 500 400 300 200 100 0 0 2 4 6 8 Tree Height (m) 10 12 14 97 Appendix 100. Scatterplot and correlation between total tree weight and tree basal diameter for the Lakeview site. Tree Weight (kg) Lakeview Total Tree Weight vs. Tree Basal Diameter y = 13.717x - 283.38 R2 = 0.7569 900 800 700 600 500 400 300 200 100 0 0 10 20 30 40 50 60 70 Tree Basal Diameter (cm) Appendix 101. Scatterplot and correlation between total tree weight and tree age for the Lakeview site. Tree Weight (kg) Lakeview Total Tree Weight vs. Tree Age y = 6.2327x - 124.36 R2 = 0.4607 900 800 700 600 500 400 300 200 100 0 0 20 40 60 Tree Basal Age (yr) 80 100 120 98 Appendix 102. Scatterplot and correlation between total tree weight and tree canopy area for the Lakeview site. Total Tree Weight (kg) Lakeview Total Tree Weight vs Tree Canopy Area y = 9.6311x + 11.321 R2 = 0.9468 1000 800 600 400 200 0 0 10 20 30 40 50 60 70 80 90 100 Tree Canopy Area (m²) Appendix 103. Scatterplot and correlation between total tree weight and tree canopy volume for the Lakeview site. Lakeview Total Tree Weight vs. Tree Canopy Volume Total Tree Weight (kg) y = 0.6209x - 44.77 R2 = 0.874 700 600 500 400 300 200 100 0 0 100 200 300 400 500 Canopy Volume (m³) 600 700 800 900 99 Scatterplot and correlation between size class 1 weights and tree height for the Lakeview site. Appendix 104. Size Class 1 Weight (kg) Lakeview Size Class 1 Weight vs. Tree Height y = 22.275x - 62.276 R2 = 0.5341 300 250 200 150 100 50 0 0 2 4 6 8 10 12 14 Tree Height (m) Scatterplot and correlation between size class 1 weights and tree basal diameter for the Lakeview site. Appendix 105. Size Class 1 Weight (kg) Lakeview Size Class 1 Weight vs. Tree Basal Diameter 300 y = 3.9411x - 67.598 R2 = 0.6791 250 200 150 100 50 0 0 10 20 30 40 Tree Basal Diameter (cm) 50 60 70 100 Appendix 106. Scatterplot and correlation between size class 1 weights and tree age for the Lakeview site. Size Class 1 Weight (kg) Lakeview Size Class 1 Weight vs. Tree Age y = 1.5587x - 7.2685 R2 = 0.3131 300 250 200 150 100 50 0 0 20 40 60 80 100 120 Tree Age (yr) Appendix 107. Scatterplot and correlation between size class 1 weights and tree canopy area for the Lakeview site. Size Class 1 Weight (kg) Lakeview Size Class 1 Weight vs Tree Canopy Area y = 2.6586x + 19.981 R2 = 0.7841 300 250 200 150 100 50 0 0 10 20 30 40 50 60 Tree Canopy Area (m²) 70 80 90 100 101 Scatterplot and correlation between size class 1 weights and tree canopy volume for the Lakeview site. Appendix 108. Lakeview Size Class 1 Weight vs. Tree Canopy Volume Size Class1 Weight (kg) y = 1.8913x - 50.082 R2 = 0.7461 700 600 500 400 300 200 100 0 0 50 100 150 200 250 300 Canopy Volume (m³) Scatterplot and correlation between size class 2 weights and tree height for the Lakeview site. Appendix 109. Size Class 2 Weight (kg) Lakeview Size Class 2 Weight vs. Tree Height y = 10.652x - 34.941 R2 = 0.4646 140 120 100 80 60 40 20 0 0 2 4 6 8 Tree Height (m) 10 12 14 102 Scatterplot and correlation between size class 2 weights and tree basal diameter for the Lakeview site. Appendix 110. Lakeview Size Class 2 Weight vs. Tree Basal Diameter y = 2.1371x - 47.649 Size Class 2 Weight (kg) R2 = 0.7595 140 120 100 80 60 40 20 0 0 10 20 30 40 50 60 70 Tree Basal Diameter (cm) Appendix 111. Scatterplot and correlation between size class 2 weights and tree age for the Lakeview site. Size Class 2 Weight (kg) Lakeview Size Class 2 Weight vs. Tree Age y = 0.9059x - 18.761 R2 = 0.4023 140 120 100 80 60 40 20 0 0 20 40 60 Tree Age (yr) 80 100 120 103 Appendix 112. Scatterplot and correlation between size class 2 weights and tree canopy area for the Lakeview site. Size Class 2 Weight (kg) Lakeview Size Class 2 Weight vs Tree Canopy Area y = 1.4241x + 0.3135 R2 = 0.8557 140 120 100 80 60 40 20 0 0 10 20 30 40 50 60 70 80 90 100 Tree Canopy Area (m²) Appendix 113. Scatterplot and correlation between size class 2 weights and tree canopy volume for the Lakeview site. Lakeview Size Class 2 Weight vs. Tree Canopy Volume Size Class 2 Weight (kg) y = 3.7589x - 22.153 R2 = 0.7749 700 600 500 400 300 200 100 0 0 20 40 60 80 Canopy Volume (m³) 100 120 140 104 Scatterplot and correlation between size class 3 weights and tree height for the Lakeview site. Appendix 114. Size Class 3 Weight (kg) Lakeview Size Class 3 Weight vs. Tree Height y = 26.184x - 116.76 R2 = 0.5195 350 300 250 200 150 100 50 0 0 2 4 6 8 10 12 14 Tree Height (m) Scatterplot and correlation between size class 3 weights and tree basal diameter for the Lakeview site. Appendix 115. Lakeview Size Class 3 Weight vs. Tree Basal Diameter y = 4.3049x - 109.82 Size Class 3 Weight (kg) R2 = 0.5703 350 300 250 200 150 100 50 0 0 10 20 30 40 Tree Basal Diameter (cm) 50 60 70 105 Appendix 116. Scatterplot and correlation between size class 3 weights and tree age for the Lakeview site. Size Class 3 Weight (kg) Lakeview Size Class 3 Weight vs. Tree Age y = 2.0019x - 62.802 R2 = 0.3635 350 300 250 200 150 100 50 0 0 20 40 60 80 100 120 Tree Age (yr) Appendix 117. Scatterplot and correlation between size class 3 weights and tree canopy area for the Lakeview site. Size Class 3 Weight (kg) Lakeview Size Class 3 Weight vs Tree Canopy Area y = 3.3633x - 26.434 R2 = 0.8832 350 300 250 200 150 100 50 0 0 10 20 30 40 50 60 Tree Canopy Area (m²) 70 80 90 100 106 Scatterplot and correlation between size class 3 weights and tree canopy volume for the Lakeview site. Appendix 118. Lakeview Size Class 3 Weight vs. Tree Canopy Volume Size Class 3 Weight (kg) y = 1.7386x + 11.762 R2 = 0.8959 700 600 500 400 300 200 100 0 0 50 100 150 200 250 300 350 Canopy Volume (m³) Scatterplot and correlation between size class 4 weights and tree height for the Lakeview site. Appendix 119. Size Class 4 Weight (kg) Lakeview Size Class 4 Weight vs. Tree Height y = 16.337x - 36.851 R2 = 0.3058 250 200 150 100 50 0 0 2 4 6 8 Tree Height (m) 10 12 14 107 Scatterplot and correlation between size class 4 weights and tree basal diameter for the Lakeview site. Appendix 120. Lakeview Size Class 4 Weight vs. Tree Basal Diameter y = 3.2992x - 57.203 Size Class 4 Weight (kg) R2 = 0.5065 250 200 150 100 50 0 0 10 20 30 40 50 60 70 Tree Basal Diameter (cm) Appendix 121. Scatterplot and correlation between size class 4 weights and tree age for the Lakeview site. Size Class 4 Weight (kg) Lakeview Size Class 4 Weight vs. Tree Age y = 1.7544x - 35.06 R2 = 0.4222 250 200 150 100 50 0 0 20 40 60 Tree Age (yr) 80 100 120 108 Appendix 122. Scatterplot and correlation between size class 4 weights and tree canopy area for the Lakeview site. Size Class 4 Weight (kg) Lakeview Size Class 4 Weight vs Tree Canopy Area y = 2.0936x + 19.638 R2 = 0.5175 250 200 150 100 50 0 0 10 20 30 40 50 60 70 80 90 100 Tree Canopy Area (m²) Appendix 123. Scatterplot and correlation between size class 4 weights and tree canopy volume for the Lakeview site. Lakeview Size Class 4 Weight vs. Tree Canopy Volume Size Class 4 Weight (kg) y = 1.3913x + 16.937 R2 = 0.3794 700 600 500 400 300 200 100 0 0 50 100 150 Canopy Volume (m³) 200 250 109 Scatterplot and correlation between total tree weight and tree height for both sites combined. Appendix 124. Tree Weight (kg) Combined Sites Total Tree Weight vs. Tree Height y = 74.706x - 260.08 R2 = 0.6399 900 800 700 600 500 400 300 200 100 0 0 2 4 6 8 10 12 14 Tree Height (m) Scatterplot and correlation between total tree weight and tree basal diameter for both sites combined. Appendix 125. Tree Weight (kg) Combined Sites Total Tree Weight vs. Tree Basal Diameter y = 11.503x - 173.2 R2 = 0.7655 900 800 700 600 500 400 300 200 100 0 0 10 20 30 40 Tree Basal Diameter (cm) 50 60 70 110 Appendix 126. Scatterplot and correlation between total tree weight and tree age for both sites combined. Tree Weight (kg) Combined Sites Total Tree Weight vs. Tree Age y = 6.4927x - 185.99 R2 = 0.4924 900 800 700 600 500 400 300 200 100 0 0 20 40 60 80 100 120 Tree Age (yr) Appendix 127. Scatterplot and correlation between total tree weight and tree canopy area for both sites combined. Total Tree Weight (kg) Combined Sites Total Tree Weight vs Tree Canopy Area y = 9.7164x + 37.506 R2 = 0.8554 1000 800 600 400 200 0 0 10 20 30 40 50 60 Tree Canopy Area (m²) 70 80 90 100 111 Scatterplot and correlation between total tree weight and tree canopy volume for both sites combined. Appendix 128. Combined Sites Total Tree Weight vs. Tree Canopy Volume Tree Weight (kg) y = 0.517x - 30.452 R2 = 0.7964 700 600 500 400 300 200 100 0 0 100 200 300 400 500 600 700 800 900 Canopy Volume (m³) Scatterplot and correlation between size class 1 weights and tree height for both sites combined. Appendix 129. Size Class 1 Weight (kg) Combined Sites Size Class 1 Weight vs. Tree Height y = 21.986x - 65.733 R2 = 0.6255 300 250 200 150 100 50 0 0 2 4 6 8 Tree Canopy Height (m) 10 12 14 112 Scatterplot and correlation between size class 1 weights and tree basal diameter for both sites combined. Appendix 130. Combined Sites Size Class 1 Weight vs. Tree Basal Diameter y = 3.2783x - 36.468 Size Class 1 Weight (kg) R2 = 0.7017 300 250 200 150 100 50 0 0 10 20 30 40 50 60 70 Tree Basal Diameter (cm) Appendix 131. Scatterplot and correlation between size class 1 weights and tree age for both sites combined. Size Class 1 Weight (kg) Combined Sites Size Class 1 Weight vs. Tree Age y = 1.7445x - 33.431 R2 = 0.4012 300 250 200 150 100 50 0 0 20 40 60 Tree Age (yr) 80 100 120 113 Appendix 132. Scatterplot and correlation between size class 1 weights and tree canopy area for both sites combined. Size Class 1 Weight (kg) Combined Sites Size Class 1 Weight vs Tree Canopy Area y = 2.741x + 24.118 R2 = 0.7683 300 250 200 150 100 50 0 0 10 20 30 40 50 60 70 80 90 100 Tree Canopy Area (m²) Appendix 133. Scatterplot and correlation between size class 1 weights and tree canopy volume for both sites combined. Combined Sites Size Class 1 Weight vs. Tree Canopy Volume Size Class 1 Weight (kg) y = 1.6588x - 41.909 R2 = 0.7263 700 600 500 400 300 200 100 0 0 50 100 150 Canopy Volume (m³) 200 250 300 114 Scatterplot and correlation between size class 2 weights and tree height for both sites combined. Appendix 134. Size Class 2 Weight (kg) Combined Sites Size Class 2 Weight vs. Tree Height y = 9.7091x - 29.635 R2 = 0.5126 140 120 100 80 60 40 20 0 0 2 4 6 8 10 12 14 Tree Height (m) Scatterplot and correlation between size class 2 weights and tree basal diameter for both sites combined. Appendix 135. Size Class 2 Weight (kg) Combined Sites Size Class 2 Weight vs. Tree Basal Diameter y = 1.5891x - 21.591 R2 = 0.6928 140 120 100 80 60 40 20 0 0 10 20 30 40 Tree Basal Diameter (cm) 50 60 70 115 Appendix 136. Scatterplot and correlation between size class 2 weights and tree age for both sites combined. Size Class 2 Weight (kg) Combined Sites Size Class 2 Weight vs. Tree Age y = 0.8697x - 21.644 R2 = 0.4191 140 120 100 80 60 40 20 0 0 20 40 60 80 100 120 Tree Age (yr) Appendix 137. Scatterplot and correlation between size class 2 weights and tree canopy area for both sites combined. Size Class 2 Weight (kg) Combined Sites Size Class 2 Weight vs Tree Canopy Area y = 1.3313x + 7.725 R2 = 0.7617 140 120 100 80 60 40 20 0 0 10 20 30 40 50 60 Tree Canopy Area (m²) 70 80 90 100 116 Scatterplot and correlation between size class 2 weights and tree canopy volume for both sites combined. Appendix 138. Combined Sites Size Class 2 Weight vs. Tree Canopy Volume Size Class 2 Weight (kg) y = 3.3703x - 26.79 R2 = 0.7135 700 600 500 400 300 200 100 0 0 20 40 60 80 100 120 140 Canopy Volume (m³) Scatterplot and correlation between size class 3 weights and tree height for both sites combined. Appendix 139. Size Class 3 Weight (kg) Combined Sites Size Class 3 Weight vs. Tree Height y = 22.809x - 96.979 R2 = 0.5444 350 300 250 200 150 100 50 0 0 2 4 6 8 Tree Height (m) 10 12 14 117 Scatterplot and correlation between size class 3 weights and tree basal diameter for both sites combined. Appendix 140. Size Class 3 Weight (kg) Combined Sites Size Class 3 Weight vs. Tree Basal Diameter 350 y = 3.4029x - 66.683 R2 = 0.6115 300 250 200 150 100 50 0 0 10 20 30 40 50 60 70 Tree Basal Diameter (cm) Appendix 141. Scatterplot and correlation between size class 3 weights and tree age for both sites combined. Size Class 3 Weight (kg) Combined Sites Size Class 3 Weight vs. Tree Age y = 1.9142x - 70.061 R2 = 0.3907 350 300 250 200 150 100 50 0 0 20 40 60 Tree Age (yr) 80 100 120 118 Appendix 142. Scatterplot and correlation between size class 3 weights and tree canopy area for both sites combined. Size Class 3 Weight (kg) Combined Sites Size Class 3 Weight vs Tree Canopy Area 350 300 250 200 150 100 50 0 -50 0 10 20 30 40 50 60 70 y = 3.1553x - 9.7455 R2 = 0.8234 80 90 100 Tree Canopy Area (m²) Appendix 143. Scatterplot and correlation between size class 3 weights and tree canopy volume for both sites combined. Combined Sites Size Class 3 Weight vs. Tree Canopy Volume Size Class 3 Weight (kg) y = 1.6052x + 3.7972 R2 = 0.8409 700 600 500 400 300 200 100 0 0 50 100 150 200 Canopy Volume (m³) 250 300 350 119 Scatterplot and correlation between size class 4 weights and tree height for both sites combined. Appendix 144. Size Class 4 Weight (kg) Combined Sites Size Class 4 Weight vs. Tree Height y = 19.784x - 65.149 R2 = 0.4782 250 200 150 100 50 0 0 2 4 6 8 10 12 14 Tree Height (m) Scatterplot and correlation between size class 4 weights and tree basal diameter for both sites combined. Appendix 145. Combined Sites Size Class 4 Weight vs. Tree Basal Diameter y = 3.2143x - 47.939 Size Class 4 Weight (kg) R2 = 0.6369 250 200 150 100 50 0 0 10 20 30 40 Tree Basal Diameter (cm) 50 60 70 120 Appendix 146. Scatterplot and correlation between size class 4 weights and tree age for both sites combined. Size Class 4 Weight (kg) Combined Sites Size Class 4 Weight vs. Tree Age y = 1.9571x - 60.534 R2 = 0.4767 250 200 150 100 50 0 0 20 40 60 80 100 120 Tree Age (yr) Appendix 147. Scatterplot and correlation between size class 4 weights and tree canopy area for both sites combined. Size Class 4 Weight (kg) Combined Sites Size Class 4 Weight vs Tree Canopy Area y = 2.4241x + 16.519 R2 = 0.5674 250 200 150 100 50 0 0 10 20 30 40 50 60 Tree Canopy Area (m²) 70 80 90 100 121 Appendix 148. Scatterplot and correlation between size class 4 weights and tree canopy volume for both sites combined. Combined Sites Size Class 4 Weight vs. Tree Canopy Volume Size Class 4 Weight (kg) y = 1.2579x + 6.0581 R2 = 0.4423 700 600 500 400 300 200 100 0 0 50 100 150 200 250 Canopy Volume (m³) Appendix 149. R-squares for correlations between individual tree weight and individual independent variables (canopy area, canopy volume, age, height, and basal diameter) for the Fort Rock site. Weight Weight Canopy Area Canopy Volume Age Height .8711 .8485 .6431 .7067 .8116 .9145 .6635 .8170 .7868 .7560 .9114 .7538 .7288 .6538 Canopy Area .7792 Canopy Volume .8485 .9624 Age .6431 .6677 .7560 Height .7067 .7253 .9114 .7288 Basal Diameter .8116 .7725 .7538 .6538 .6226 Basal Diameter .6226 122 Appendix 150. R-squares for correlations between individual tree weight and individual independent variables (canopy area, canopy volume, age, height, and basal diameter) for the Lakeview site . Weight Weight Canopy Area Canopy Volume Age Height .9468 .8740 .4665 .5731 .7655 .9499 .3973 .6227 .6978 .3076 .6930 .5681 .2318 .4609 Canopy Area .9455 Canopy Volume .8740 .9499 Age .4665 .3973 .3076 Height .5731 .6227 .6930 .2318 Basal Diameter .7655 .6978 .5681 .4609 .4993 Basal Diameter .4993 123 Appendix 151. R-squares for correlations between individual tree weight and individual independent variables (canopy area, canopy volume, age, height, and basal diameter) for both sites combined. Weight Weight Canopy Area Canopy Volume Age Height .8554 .7963 .4965 .6396 .7704 .9449 .3460 .5849 .6960 .2895 .6211 .5620 .3940 .4379 Canopy Area .8554 Canopy Volume .7963 .9499 Age .4965 .3460 .2895 Height .6396 .5849 .6211 .3940 Basal Diameter .7704 .6960 .5620 .4379 .5372 Appendix 152. Basal Diameter .5372 R-squares for correlations between independent variables (canopy area, canopy volume, age, height, and basal diameter) and size class weights (1,2,3, and 4) for the Fort Rock site. Height Age Basal Diameter Canopy Area Canopy Volume Size Class 1 Size Class 2 Size Class 3 Size Class 4 .7687 .6983 .6972 .8447 .8282 .5975 .5281 .7100 .6966 .6701 .6032 .5418 .7908 .8346 .8144 .6610 .6158 .8285 .8526 .8281 124 Appendix 153. R-squares for correlations between independent variables (canopy area, canopy volume, age, height, and basal diameter) and size class weights (1,2,3, and 4) for the Lakeview site. Height Age Basal Diameter Canopy Area Canopy Volume Appendix 154. Size Class 1 Size Class 2 Size Class 3 Size Class 4 .5341 .3132 .6790 .7841 .7460 .4651 .4026 .7589 .8556 .7748 .5194 .3635 .5702 .8832 .8959 .3060 .4222 .5066 .5175 .3795 R-squares for correlations between independent variables (total tree weight, canopy area, canopy volume, age, height, and basal diameter) and fuel class weights (1, 2, 3, and 4) for both sites combined. Height Age Basal Diameter Canopy Area Canopy Volume Size Class 1 Size Class 2 Size Class 3 Size Class 4 .6346 .4058 .6899 .7683 .7261 .5161 .4214 .6910 .7616 .7134 .5428 .3897 .6117 .8234 .8409 .4679 .4712 .6433 .5673 .4424 125 Appendix 155. Weight prediction equations for individual tree dry weight for Fort Rock, Lakeview, and both sites combined. Site Weight Prediction Equations Fort Rock Dry Weight = A + B*(canopy area) + C*(basal diameter) Lakeview Dry Weight = A + B*(canopy area) +C*(basal diameter) Both Sites Dry Weight = A + B*(canopy volume) + C*(basal diameter) + D*(age) Appendix 156. Site Coefficient estimates, root mean squared errors (MSE), sample sizes (n) and r-squared values for the models associated in appendix 155. Coef. A Coef. B Coef. C Coef. D MSE R² Fort Rock -56.7634 10.0341 3.9281 49.72 .8542 Lakeview -72.1944 7.8121 3.2802 39.76 .9575 Both Sites -123.51 4.8455 49.75 .9085 .7473 1.7171 126 Appendix 157. Size class weight prediction equations for the Fort Rock site. Weight Prediction Equations Size Class 1 Dry Weight = A + B*(weight) + C* (height) Size Class 2 Dry Weight = A + B*(weight) Size Class 3 Dry Weight = A + B*(weight) + C* (height) + D* (canopy volume) Size Class 4 Dry Weight = A + B* (weight) Appendix 158. Coefficient estimates, root mean squared errors (MSE), and r-squared values for the models in appendix 157, for the Fort Rock site. Size Class One Coef. A Coef. B Coef. C -2.8922 .2374 3.8170 Two 6.2162 .1222 Three 13.5099 .2656 Four -8.0289 .3246 -5.7292 Coef. D .2067 MSE R² 7.705 .9584 6.4245 .8613 6.3093 .9728 7.7502 .9678 127 Appendix 159. Size class weight prediction equations for the Lakeview site. Weight Prediction Equations Size Class 1 Dry Weight = A + B*(weight) Size Class 2 Dry Weight = A + B*(weight) Size Class 3 Dry Weight = A + B* (weight) + C* (height) + D*(canopy volume) Size Class 4 Dry Weight = A + B* (weight) + C* (canopy volume) Appendix 160. Coefficient estimates, root mean squared errors (MSE), and r-squared values for the models in appendix 159, for the Lakeview site. Size Class One Coef. A Coef. B 16.9048 Two Coef. C Coef. D MSE R² .2761 24.83 .8148 -4.1386 .1610 10.27 .8973 Three 30.1620 .1060 -7.3127 18.59 .9330 Four -9.0574 .5141 -0.3842 26.25 .7826 .3942 128 Appendix 161. Size class weight prediction equations for both sites combined. Weight Prediction Equations Size Class 1 Dry Weight = A + B*(weight) Size Class 2 Dry Weight = A + B*(weight) Size Class 3 Dry Weight = A + B*(canopy volume) + C*(canopy area) + D*(weight) Size Class 4 Dry Weight = A + B* (canopy volume) + C* (canopy volume) + D* (weight) Appendix 162. Coefficient estimates, root mean squared errors (MSE), and r-squared values for the models in appendix 161, for both sites combined. Size Class One Coef. A Coef. B 13.1375 Two Coef. C Coef. D MSE R² .2820 17.77 .8677 2.5696 .1369 8.25 .8774 Three -3.0422 .4406 -2.3485 .2535 13.83 .9360 Four -15.349 -0.5093 2.4640 .3590 18.45 .8649 129