臺灣博碩士論文加值系統

競爭作用為影響林木生長的重要因子之一，人工林競爭作用主要發生在林木之間。本研究目的在於應用競爭指數評估競爭作用對楓香人工幼齡林單木生長影響。研究地點位於臺灣中部地區國立中興大學所屬之惠蓀林場第1林班，對象為8年生楓香人工林，林分除了楓香樹種外，尚包括其他闊葉樹種，為瞭解林木間的競爭作用，本研究主要分成楓香樹種與非楓香樹種進行探討，分別採用3種距離獨立和8種距離相依指數量化林木的競爭作用，而距離相依競爭指數搭配競爭木的方式則使用固定半徑法、最近林木選取法和角度判定法，3種方式選擇競爭木。本研究使用2種回歸模式探討競爭作用對林木生長的影響，結果顯示，經轉換過變項(取log)的回歸模式效果較佳，將競爭指數納入胸徑生長模式後，可提升模式預測能力，然而使用距離獨立指數與距離相依指數兩者則差異不大，兩類競爭指數皆可用以解釋楓香與非楓香樹種受到競爭作用影響。在距離相依指數中，DD1-DD4與DD5-DD7兩類指數解釋能力差異不大，本研究以距離相依指數(DD2-20°)為例，採用回歸模式分析楓香樹種的種間競爭與種內競爭狀況，結果顯示本研究區域楓香樹種在現階段生長以種內競爭為主。

Competition is a key factor to influence tree growth and this factor is mainly occurred among trees in plantations. The purpose of this study was to assess competition factor affecting tree growth in a juvenile Fragrant Maple (Liquidambar formosana) plantation based on the competition indices. The study area was located at the compartment 1 of Huisun forest area of central Taiwan which belonging to National Chung Hsing University. The stand was a 8-year-old Liquidambar formosana plantation with Fragrant Maple and other broad-leaf trees. The stand was surveyed at 2018 and 2019. This study mainly addressed Liquidambar formosana trees and the other trees. In order to measure competition among trees, the competition indices of distance dependent (DD) and independent (DI) were simultaneously employed to measure competition factor. Meanwhile, three approaches of the search radius, number of trees and approach of angle determine were used to determine competition trees in DD competition indices. On the other hand, diameter at breast height (DBH) of mean increments of trees were used as growth variable to explore the competition indices affecting growth of trees. This study used two regression models to explore the effects of competition on forest growth. The results showed that the regression model with conversion variable is better than not convert. When the model added the competition variable, the model prediction ability can be improved. The distance dependent and distance independent indices were not different in model to explain ability the tree growth and they could explain the impact of competition on trees growth. The types of distance dependent indices (DD1-DD4, DD5-DD7) explain ability were not much different. In this study, we used the DD2-20°competition index as example to illustrate the relationships between interspecific competition and intraspecific competition of Liquidambar formosana. The results showed that the growth of Liquidambar formosana species was dominated by intra-specific competition.

目錄

摘要 i
Abstract ii
目錄 iii
表目錄 iv
圖目錄 v
第一章、前言 1
第二章、前人文獻 3
一、人工林生長與收穫 3
二、林木間競爭作用 4
第三章、材料與方法 18
一、 研究區域 18
二、 研究方法 21
第四章、結果與討論 31
一、 目標木性態值分析 31
二、 樹冠投影面積與林地比值 32
三、 競爭指數與林木生長量之相關性 32
四、 單木競爭指數分析與生長模式建立 55
第五章、結論與建議 100
第六章、參考文獻 102

中央氣象局 (2019) 氣候統計。交通部中央氣象局。
內政部 (2018) 國土測繪圖資網路地圖服務系統。內政部國土測繪中心。
王亞男、顏添明、李隆恩、陳淯婷 (2011) 生長空間對柳杉人工同齡林胸高斷面積生長及存活之影響。臺灣大學生物資源暨農學院實驗林研究報告25(2): 129-138。
呂俊廷 (2014) 由惠蓀林場百年經營歷史探討地景之變遷(1916~ 2012)。國立中興大學森林學研究所碩士論文。52頁。
李隆恩、顏添明 (2012) 以競爭指數配合搜尋半徑預測單木胸徑與胸高斷面積生長之研究－以紅檜人工林為例。中華林學季刊 45(3)：349-362。
汪大雄、王兆桓、高毓斌、吳楊浚 (2004) 多納地區台灣杉與台灣赤陽人工混淆林生長競爭之研究。台灣林業科學 19(4)：337-351。
林俊成、鄭美如、劉淑芬、李國忠 (2002) 全民造林運動二氧化碳吸存潛力之經濟效益評估。臺灣林業科學17(3):311-321。
林務局 (2017) 第四次森林資源及土地利用調查。行政院農業委員會林務局。
國立中興大學實驗林管理處 (2017) 惠蓀林場林地測量資料。
張翔 (1991) 楓香幼苗之礦物營養試驗。東海大學生物學研究所碩士論文。70頁。
莊采蓁、林政融、顏添明 (2019) 楓香人工幼齡林林分結構之量化及碳吸存能力之評估—以惠蓀林場為例。林業研究季刊 41(1):65-80 。
楊榮啟、林文亮 (2003) 森林測計學。國立教育研究院。309頁
廖科澄、顏添明 (2019) 應用競爭指數推估楓香人工幼齡林單木生長之效果評估。林業研究季刊 (已投稿)。
顏添明 (1997) 臺灣大雪山地區紅檜人工林生長收穫系統之研究。國立中興大學森林學研究所博士論文。178頁。
顏添明、劉兆昌、張維仁 (2006) 低密度林分杉木樹冠特性之研究。中華林學季刊39(3), 303-314.
Aakala, T., Fraver, S., D’Amato, A. W., & Palik, B. J. (2013). Influence of competition and age on tree growth in structurally complex old-growth forests in northern Minnesota, USA. Forest Ecology and Management, 308, 128-135.
Alemdag, I. S. (1978). Evaluation of some competition indexes for the prediction of diameter increment in planted white spruce. Information Report Forest Management Institute (Canada). no. FMR-X-108.
Alvarez Taboada, M. F., Barrio Anta, M., Gorgoso Varela, J., & Alvarez González, J. G. (2003). Influence of the competition on the section growth in Pinus radiata D. Don. Investigación Agraria. Sistemas y Recursos Forestales (España).
Barbeito, I., Collet, C., & Ningre, F. (2014). Crown responses to neighbor density and species identity in a young mixed deciduous stand. Trees, 28(6), 1751-1765.
Bella, I. E. (1971) A new competition model for individual trees. Forest Science 17: 364-372.
Bérubé-Deschênes, A., Franceschini, T., & Schneider, R. (2017). Quantifying competition in white spruce (Picea glauca) plantations. Annals of forest science. 74(2): 26.
Biging, G. S., & Dobbertin, M. (1992). A comparison of distance-dependent competition measures for height and basal area growth of individual conifer trees. Forest Science. 38(3): 695-720.
Biging, G. S., & Dobbertin, M. (1995). Evaluation of competition indices in individual tree growth models. Forest science, 41(2), 360-377.
Binkley, D. (2004). A hypothesis about the interaction of tree dominance and stand production through stand development. Forest ecology and management, 190(2-3), 265-271.
Boivin, F., Paquette, A., Papaik, M. J., Thiffault, N., & Messier, C. (2010). Do position and species identity of neighbours matter in 8–15-year-old post harvest mesic stands in the boreal mixedwood?. Forest Ecology and Management, 260(7), 1124-1131.
Bošeľa, M., Tobin, B., Šebeň, V., Petráš, R., & Larocque, G. R. (2015). Different mixtures of Norway spruce, silver fir, and European beech modify competitive interactions in central European mature mixed forests. Canadian Journal of Forest Research, 45(11), 1577-1586.
Brand, D. G. (1986). Competition-induced changes in developmental features of planted Douglas-fir in southwestern British Columbia. Canadian Journal of Forest Research, 16(2), 191-196.
Brand, D. G., & Magnussen, S. (1988). Asymmetric, two-sided competition in even-aged monocultures of red pine. Canadian Journal of Forest Research. 18(7): 901-910.
Brown, G. S. (1965). Point density in stems per acre. NZ Forest Research Institute.
Burkhart, H. E., & Tomé, M. (2012). Modeling forest trees and stands. Springer Science & Business Media.
Canham, C. D., LePage, P. T., & Coates, K. D. (2004). A neighborhood analysis of canopy tree competition: effects of shading versus crowding. Canadian Journal of Forest Research, 34(4), 778-787.
Carl, C., Biber, P., Veste, M., Landgraf, D., & Pretzsch, H. (2018). Key drivers of competition and growth partitioning among Robinia pseudoacacia L. trees. Forest ecology and management, 430, 86-93.
Carrijo, J. V. N., de Freitas Ferreira, A. B., Ferreira, M. C., de Aguiar, M. C., Miguel, E. P., Matricardi, E. A. T., & Rezende, A. V. (2019). The growth and production modeling of individual trees of Eucalyptus urophylla plantations. Journal of Forestry Research, 1-10.
Castagneri, D., Vacchiano, G., Lingua, E., & Motta, R. (2008). Analysis of intraspecific competition in two subalpine Norway spruce (Picea abies (L.) Karst.) stands in Paneveggio (Trento, Italy). Forest Ecology and Management. 255(3-4): 651-659.
Cattaneo, N., Bravo-Oviedo, A., & Bravo, F. (2018). Analysis of tree interactions in a mixed Mediterranean pine stand using competition indices. European journal of forest research, 137(1), 109-120.
Clutter, J. L., Fortson, J. C., Pienaar, L. V., Brister, G. H., & Bailey, R. L. (1983). Timber management: a quantitative approach. John Wiley & Sons, Inc..
Contreras, M. A., Affleck, D., & Chung, W. (2011). Evaluating tree competition indices as predictors of basal area increment in western Montana forests. Forest Ecology and Management, 262(11), 1939-1949.
Cordonnier, T., & Kunstler, G. (2015). The Gini index brings asymmetric competition to light. Perspectives in Plant Ecology, Evolution and Systematics, 17(2), 107-115.
Daniels, R. F. (1976). Simple competition indices and their correlation with annual loblolly pine tree growth. Forest Science, 22(4), 454-456.
Daniels, R. F., Burkhart, H. E., & Clason, T. R. (1986). A comparison of competition measures for predicting growth of loblolly pine trees. Canadian Journal of Forest Research. 16(6): 1230-1237.
Das, A. (2012). The effect of size and competition on tree growth rate in old-growth coniferous forests. Canadian Journal of Forest Research, 42(11), 1983-1995.
Dimov, L. D., Chambers, J. L., & Lockhart, B. R. (2008). Five-year radial growth of red oaks in mixed bottomland hardwood stands. Forest Ecology and Management, 255(7), 2790-2800.
FAO (2015) Global forest resources Assessment. FAO Forestry Paper 140.
Filipescu, C. N., & Comeau, P. G. (2007). Competitive interactions between aspen and white spruce vary with stand age in boreal mixedwoods. Forest Ecology and Management, 247(1-3), 175-184.
Fox, T. R. (2000). Sustained productivity in intensively managed forest plantations. Forest Ecology and Management. 138(1-3): 187-202.
García, O. (2014). Siplab, a spatial individual-based plant modelling system. Computational Ecology and Software, 4(4), 215.
Gerrard, D. J. (1969). Competition quotient: a new measure of the competition affecting individual forest trees (Vol. 20). Agricultural Experiment Station, Michigan State University.
Getzin, S., Dean, C., He, F., Trofymow, J. A., Wiegand, K., & Wiegand, T. (2006). Spatial patterns and competition of tree species in a Douglas‐fir chronosequence on Vancouver Island. Ecography, 29(5), 671-682.
Glover, G. R., & Hool, J. N. (1979). A basal area ratio predictor of loblolly pine plantation mortality. Forest Science, 25(2), 275-282.
GÓMEZ‐APARICIO, L. O. R. E. N. A., GARCÍA‐VALDÉS, R. A. Ú. L., RUÍZ‐BENITO, P. A. L. O. M. A., & Zavala, M. A. (2011). Disentangling the relative importance of climate, size and competition on tree growth in Iberian forests: implications for forest management under global change. Global Change Biology, 17(7), 2400-2414.
Gonçalves, F. M., Revermann, R., Gomes, A. L., Aidar, M. P., Finckh, M., & Juergens, N. (2017). Tree species diversity and composition of miombo woodlands in south-central angola: A chronosequence of forest recovery after shifting cultivation. International Journal of Forestry Research, 2017.
Hartmann, H., Beaudet, M., Mazerolle, M. J., & Messier, C. (2009). Sugar maple (Acer saccharum Marsh.) growth is influenced by close conspecifics and skid trail proximity following selection harvest. Forest ecology and management, 258(5), 823-831.
Hegyi, F. (1974) A simulation model for managing jack-pine stands. Proceeding in growth models for tree and stand simulation. Fries J, editor. Stockholm, Sweden: Royal College of Forestry: 74-90.
Hubbell, S. P. (2001). The unified neutral theory of biodiversity and biogeography (MPB-32). Princeton University Press.
Hui, G., Wang, Y., Zhang, G., Zhao, Z., Bai, C., & Liu, W. (2018). A novel approach for assessing the neighborhood competition in two different aged forests. Forest Ecology and Management, 422, 49-58.
Köhl, M., Neupane, P. R., & Lotfiomran, N. (2017). The impact of tree age on biomass growth and carbon accumulation capacity: A retrospective analysis using tree ring data of three tropical tree species grown in natural forests of Suriname. PloS one, 12(8), e0181187.
Krajicek, J. E., Brinkman, K. A., & Gingrich, S. F. (1961). Crown competition—a measure of density. Forest Science, 7(1), 35-42.
Krejza, J., Světlík, J., & Pokorný, R. (2015). Spatially explicit basal area growth of Norway spruce. Trees, 29(5), 1545-1558.
Kuehne, C., Weiskittel, A. R., & Waskiewicz, J. (2019). Comparing performance of contrasting distance-independent and distance-dependent competition metrics in predicting individual tree diameter increment and survival within structurally-heterogeneous, mixed-species forests of Northeastern United States. Forest Ecology and Management, 433, 205-216.
Kutner, M. H., Nachtsheim, C. J., Neter, J., & Li, W. (2005). Applied linear statistical models (Vol. 103). Boston: McGraw-Hill Irwin.
Larson, A. J., Lutz, J. A., Donato, D. C., Freund, J. A., Swanson, M. E., HilleRisLambers, J., ... & Franklin, J. F. (2015). Spatial aspects of tree mortality strongly differ between young and old‐growth forests. Ecology, 96(11), 2855-2861.
Li, Y., Härdtle, W., Bruelheide, H., Nadrowski, K., Scholten, T., von Wehrden, H., & von Oheimb, G. (2014). Site and neighborhood effects on growth of tree saplings in subtropical plantations (China). Forest Ecology and Management, 327, 118-127.
Linkevičius, E. D. G. A. R. A. S., Kuliešis, A. N. D. R. I. U. S., Roehle, H., Schröder, J. E. N. S., & Aleinikovas, M. A. R. I. U. S. (2014). The impact of competition for growing space on diameter, basal area and height growth in pine trees. Baltic Forestry, 20(2), 301-313.
Looney, C. E., D’Amato, A. W., Fraver, S., Palik, B. J., & Reinikainen, M. R. (2016). Examining the influences of tree-to-tree competition and climate on size-growth relationships in hydric, multi-aged Fraxinus nigra stands. Forest Ecology and Management, 375, 238-248.
Looney, C. E., D'Amato, A. W., Palik, B. J., Fraver, S., & Kastendick, D. N. (2018). Size-growth relationship, tree spatial patterns, and tree-tree competition influence tree growth and stand complexity in a 160-year red pine chronosequence. Forest ecology and management, 424, 85-94.
Lorimer, C. G. (1983). Tests of age-independent competition indices for individual trees in natural hardwood stands. Forest Ecology and Management, 6(4), 343-360.
Maleki, K., Kiviste, A., & Korjus, H. (2015). Analysis of individual tree competition on diameter growth of silver birch in Estonia. Forest systems, 24(2), 8.
Martin, G. L., & Ek, A. R. (1984). A comparison of competition measures and growth models for predicting plantation red pine diameter and height growth. Forest Science, 30(3), 731-743.
Martin, G. L., Ek, A. R., & Monserud, R. A. (1977). Control of plot edge bias in forest stand growth simulation models. Canadian Journal of Forest Research, 7(1), 100-105.
Masaki, T., Mori, S., Kajimoto, T., Hitsuma, G., Sawata, S., Mori, M., ... & Seki, T. (2006). Long-term growth analyses of Japanese cedar trees in a plantation: neighborhood competition and persistence of initial growth deviations. Journal of Forest Research, 11(4), 217-225.
McTague, J., & Weiskittel, A. (2016). Individual-tree competition indices and improved compatibility with stand-level estimates of stem density and long-term production. Forests, 7(10), 238.
Metz, J., Seidel, D., Schall, P., Scheffer, D., Schulze, E. D., & Ammer, C. (2013). Crown modeling by terrestrial laser scanning as an approach to assess the effect of aboveground intra-and interspecific competition on tree growth. Forest Ecology and Management, 310, 275-288.
Moore, J. A., Budelsky, C. A., & Schlesinger, R. C. (1973). A new index representing individual tree competitive status. Canadian Journal of Forest Research, 3(4), 495-500.
Mu, L. (2004). Polygon characterization with the multiplicatively weighted Voronoi diagram. The Professional Geographer, 56(2), 223-239.
Munro, D. D. (1974) Forest growth models-a prognosis. In: Fries, J. (Ed.), Growth models for tree and stand simulation. Royal College of Forestry, Stockholm, Sweden: 7-21.
Oheimb, G., Lang, A. C., Bruelheide, H., Forrester, D. I., Wäsche, I., Yu, M., & Härdtle, W. (2011). Individual-tree radial growth in a subtropical broad-leaved forest: the role of local neighbourhood competition. Forest Ecology and Management, 261(3), 499-507.
Pothier, D. (2017). Relationships between patterns of stand growth dominance and tree competition mode for species of various shade tolerances. Forest Ecology and Management, 406, 155-162.
Premer, M. I., Chhin, S., & Zhang, J. (2017). Alternative approaches to mixed conifer forest restoration: partitioning the competitive neighborhood. New Forests, 48(6), 801-816.
Pretzsch, H. (2009). Forest dynamics, growth, and yield. In Forest dynamics, growth and yield. Springer, Berlin, Heidelberg.
Pretzsch, H., & Schütze, G. (2009). Transgressive overyielding in mixed compared with pure stands of Norway spruce and European beech in Central Europe: evidence on stand level and explanation on individual tree level. European Journal of Forest Research, 128(2), 183-204.
Pretzsch, H., Schütze, G., & Uhl, E. (2013). Resistance of European tree species to drought stress in mixed versus pure forests: evidence of stress release by inter‐specific facilitation. Plant Biology, 15(3), 483-495.
Primicia, I., Camarero, J. J., Janda, P., Čada, V., Morrissey, R. C., Trotsiuk, V., ... & Svoboda, M. (2015). Age, competition, disturbance and elevation effects on tree and stand growth response of primary Picea abies forest to climate. Forest Ecology and Management, 354, 77-86.
Pukkala, T. (1989). Methods to describe the competition process in a tree stand. Scandinavian Journal of Forest Research, 4(1-4), 187-202.
Quiñonez-Barraza, G., Zhao, D., Héctor, M., & Corral-Rivas, J. J. (2018). Considering neighborhood effects improves individual dbh growth models for natural mixed-species forests in Mexico. Annals of Forest Science, 75(3), 78.
Radtke, P. J., & Burkhart, H. E. (1998). A comparison of methods for edge-bias compensation. Canadian journal of forest research, 28(6), 942-945.
Ratcliffe, S., Holzwarth, F., Nadrowski, K., Levick, S., & Wirth, C. (2015). Tree neighbourhood matters–Tree species composition drives diversity–productivity patterns in a near-natural beech forest. Forest Ecology and Management, 335, 225-234.
Reineke, L. H. (1933). Perfecting a stand-density index for even-aged forests.
Richards, M., McDonald, A. J. S., & Aitkenhead, M. J. (2008). Optimisation of competition indices using simulated annealing and artificial neural networks. Ecological Modelling, 214(2-4), 375-384.
Río, M., Schütze, G., & Pretzsch, H. (2014). Temporal variation of competition and facilitation in mixed species forests in C entral E urope. Plant Biology, 16(1), 166-176.
Rivas, J. C., González, J. Á., Aguirre, O., & Hernandez, F. J. (2005). The effect of competition on individual tree basal area growth in mature stands of Pinus cooperi Blanco in Durango (Mexico). European Journal of Forest Research, 124(2), 133-142.
Rouvinen, S., & Kuuluvainen, T. (1997). Structure and asymmetry of tree crowns in relation to local competition in a natural mature Scots pine forest. Canadian Journal of Forest Research, 27(6), 890-902.
Schröder, J., & Gadow, K. V. (1999). Testing a new competition index for Maritime pine in northwestern Spain. Canadian Journal of Forest Research, 29(2), 280-283.
Schwinning, S., & Weiner, J. (1998). Mechanisms determining the degree of size asymmetry in competition among plants. Oecologia, 113(4), 447-455.
Sedjo, R. A., & Botkin, D. (1997). Using foret plantations to spare natural forests. Environment: Science and Policy for Sustainable Development, 39(10), 14-30.
Sedjo, R., & Lyon, K. (1983) Long-term forest resources trade, global timber supply, and intertemporal comparative advantage. American Journal of Agricultural Economics 65 (5): 1010–16.
Setiawan, N. N., Vanhellemont, M., Baeten, L., Van de Peer, T., Ampoorter, E., Ponette, Q., & Verheyen, K. (2017). Local neighbourhood effects on sapling growth in a young experimental forest. Forest Ecology and Management, 384, 424-443.
Staebler, G. R. (1951). Growth and spacing in an even-aged stand of Douglas-fir (Doctoral dissertation).
Stephenson, N. L., Das, A. J., Condit, R., Russo, S. E., Baker, P. J., Beckman, N. G., ... & Alvarez, E. (2014). Rate of tree carbon accumulation increases continuously with tree size. Nature, 507(7490), 90.
Stoll, P., & Newbery, D. M. (2005). Evidence of species‐specific neighborhood effects in the Dipterocarpaceae of a Bornean rain forest. Ecology, 86(11), 3048-3062.
Stoll, P., & Weiner, J. (2000). A neighborhood view of interactions among individual plants. The geometry of ecological interactions: Simplifying spatial complexity, 11-27.
Sun, S., Cao, Q. V., & Cao, T. (2018). Evaluation of distance-independent competition indices in predicting tree survival and diameter growth. Canadian Journal of Forest Research, 49(999), 440-446.
Tenzin, J., Tenzin, K., & Hasenauer, H. (2017). Individual tree basal area increment models for broadleaved forests in Bhutan. Forestry: An International Journal of Forest Research, 90(3), 367-380.
Uriarte, M., Condit, R., Canham, C. D., & Hubbell, S. P. (2004). A spatially explicit model of sapling growth in a tropical forest: does the identity of neighbours matter? Journal of Ecology, 92(2), 348-360.
Vajari, K. A. (2018). Influence of interspecies competition on beech (Fagus orientalis Lipsky) trees and some features of stand in mixed broad-leaved forest. Environmental monitoring and assessment, 190(7), 377.
Van de Peer, T., Verheyen, K., Kint, V., Van Cleemput, E., & Muys, B. (2017). Plasticity of tree architecture through interspecific and intraspecific competition in a young experimental plantation. Forest ecology and management, 385, 1-9.
van Mantgem, P., & Das, A. (2014). An individual-based growth and competition model for coastal redwood forest restoration. Canadian Journal of Forest Research, 44(9), 1051-1057.
Wagner, R. G. (2000). Competition and critical-period thresholds for vegetation management decisions in young conifer stands. The Forestry Chronicle, 76(6), 961-968.
Wang, D. H., S. C. Tang, H. C. Hsieh, C. H. Chung and C. Y. Lin（2012）Distance-Dependent Competition Measures for Individual Tree Growth on a Taiwania Plantation in the Liuguei Area. Taiwan Journal of Science 27(3)：215-227.
Weigelt, A., & Jolliffe, P. (2003). Indices of plant competition. Journal of ecology, 91(5), 707-720.
Weiner, J. (1990). Asymmetric competition in plant populations. Trends in ecology & evolution, 5(11), 360-364.
Weiner, J., & Damgaard, C. (2006). Size-asymmetric competition and size-asymmetric growth in a spatially explicit zone-of-influence model of plant competition. Ecological Research, 21(5), 707-712.
Weiskittel, A. R., Hann, D. W., Kershaw Jr, J. A., & Vanclay, J. K. (2011). Forest growth and yield modeling. John Wiley & Sons.
Wimberly, M. C., & Bare, B. B. (1996). Distance-dependent and distance-independent models of Douglas-fir and western hemlock basal area growth following silvicultural treatment. Forest Ecology and Management, 89(1-3), 1-11.
Woodruff, D. R., Bond, B. J., Ritchie, G. A., & Scott, W. (2002). Effects of stand density on the growth of young Douglas-fir trees. Canadian Journal of Forest Research, 32(3), 420-427.
Wykoff, W. R., Crookston, N. L., & Stage, A. R. (1982). User's guide to the stand prognosis model (No. 04; USDA, SD381. 5 W8.). Ogden, UT: US Department of Agriculture, Forest Service, Intermountain Forest and Range Experiment Station.
Yen, T. M., & Wang, C. T. (2013). Assessing carbon storage and carbon sequestration for natural forests, man-made forests, and bamboo forests in Taiwan. International Journal of Sustainable Development & World Ecology. 20(5): 455-460.