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In pursuit of the first objective, numerous growth equations were reviewd in Chapter \u2161 and classified into four categories, i.e., the empiricals, the quasitheoreticals, the particular theoreticals and the general theoreticals. In doing so discussion was made as to the superiorities of the theoretical equations over the empirical ones, and of the particular theoreticals over the general ones. However, it was also found that as of today there is no particular theoretical equation expressing the growth of individual trees, and thus it was concluded that the available best for describing the growth of individual trees was the general theoretical equation. In Chapter III, the characteristics of the three general theoretical equations thus chosen, i.e., the Mitscherlich, the logistic and the Gompertz were discussed from an a priori theoretical point of view. In further pursuit of the most prospective growth equations for trees, the three general theoreticals were applied to the radial stem growth of 84 white spruce trees in Chapter III. It turned out that although all the equations did not work in application as satisfactorily as expected from the theory, the Mitscherlich revealed the least theoretical discrepancy, while the logistic did the most. The best graphical agreement with the observed growth was attained by the Gompertz, followed by the Mitscherlich, then by the logistic. The easiest to fit was the Mitscherlich, followed by the logistic, then by the Gompertz. A similar analysis as in Chapter \u2162 was conducted with 349 individual growth records of jack pine in Chapter \u2163. All the equations worked better with jack pine than with white spruce in every criterion employed. The most remarkable improvement was achieved by the Mitscherlich. It revealed the least theoretical discrepancy, while the logistic did the most as with white spruce. The best graphical agreement with the observed growth was achieved by the Mitscherlich followed by the Gompertz, then by the logistic. The easiest to fit was the Mitscherlich followed by the Gompertz, then by the logistic. As an overall conclusion of Chapters \u2162 and \u2163, at the present state of knowledge the best growth equation to describe the growth of trees in stem radius would be the Mitscherlich. \\n The last two chapters of the present work is devoted to the second objective, i.e., the application of the theory of the growth equation to the other important subjects of mensuration, i.e., the stem taper curve and the heightdiameter curve. In Chapter V assuming that the growth of individual trees in stem diameter and height follows the Mitscherlich equation, a theoretical stem taper curve was derived mathematically. Subsequently it was compared with 50 observed stem taper curves and its theoretical compatibility was discussed. The proposed stem taper curves and its theoretical compatibility was discussed. The proposed stem taper curve was also compared with other existing empirical stem taper curves in terms of the goodness of fit to 50 observed taper curves. It turned out that the ten equations compared were separated into five groups significantly differing from each other, of which the proposed equation fell into the second best group. \\n In Chapter \u2165 again assuming that the growth of individual trees in stem diameter and height follows the Mitscherlich equation, a heightdiameter curve for allaged stands was derived. Then based on a similar but slightly different assumption, another heightdiameter curve for evenaged stand was derived. 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THEORETICAL GROWTH EQUATIONS AND THEIR APPLICATIONS IN FORESTRY
https://doi.org/10.18999/bulnuf.7.149
03e4e4ca76c044fcbd656936bd16ec2c
名前 / ファイル  ライセンス  アクション  

bulnuf_7_149.pdf (7.7 MB)


Item type  紀要論文 / Departmental Bulletin Paper(1)  

公開日  20070815  
タイトル  
タイトル  THEORETICAL GROWTH EQUATIONS AND THEIR APPLICATIONS IN FORESTRY  
その他のタイトル  
その他のタイトル  理論的生長曲線と林学におけるその応用  
著者 
SWEDA, Tatsuo
× SWEDA, Tatsuo× 末田, 達彦 

抄録  
内容記述  The objective of the present work is twofold, i.e., one of straightening out the cluttering jam of growth equations in search of the most potential one for the growth of trees especially in stem radius, and of applying the theory of growth equation to other important issues of mensuration and forestry to reorganize them into a more rationallyrelated and interwoven system. In pursuit of the first objective, numerous growth equations were reviewd in Chapter Ⅱ and classified into four categories, i.e., the empiricals, the quasitheoreticals, the particular theoreticals and the general theoreticals. In doing so discussion was made as to the superiorities of the theoretical equations over the empirical ones, and of the particular theoreticals over the general ones. However, it was also found that as of today there is no particular theoretical equation expressing the growth of individual trees, and thus it was concluded that the available best for describing the growth of individual trees was the general theoretical equation. In Chapter III, the characteristics of the three general theoretical equations thus chosen, i.e., the Mitscherlich, the logistic and the Gompertz were discussed from an a priori theoretical point of view. In further pursuit of the most prospective growth equations for trees, the three general theoreticals were applied to the radial stem growth of 84 white spruce trees in Chapter III. It turned out that although all the equations did not work in application as satisfactorily as expected from the theory, the Mitscherlich revealed the least theoretical discrepancy, while the logistic did the most. The best graphical agreement with the observed growth was attained by the Gompertz, followed by the Mitscherlich, then by the logistic. The easiest to fit was the Mitscherlich, followed by the logistic, then by the Gompertz. A similar analysis as in Chapter Ⅲ was conducted with 349 individual growth records of jack pine in Chapter Ⅳ. All the equations worked better with jack pine than with white spruce in every criterion employed. The most remarkable improvement was achieved by the Mitscherlich. It revealed the least theoretical discrepancy, while the logistic did the most as with white spruce. The best graphical agreement with the observed growth was achieved by the Mitscherlich followed by the Gompertz, then by the logistic. The easiest to fit was the Mitscherlich followed by the Gompertz, then by the logistic. As an overall conclusion of Chapters Ⅲ and Ⅳ, at the present state of knowledge the best growth equation to describe the growth of trees in stem radius would be the Mitscherlich. \n The last two chapters of the present work is devoted to the second objective, i.e., the application of the theory of the growth equation to the other important subjects of mensuration, i.e., the stem taper curve and the heightdiameter curve. In Chapter V assuming that the growth of individual trees in stem diameter and height follows the Mitscherlich equation, a theoretical stem taper curve was derived mathematically. Subsequently it was compared with 50 observed stem taper curves and its theoretical compatibility was discussed. The proposed stem taper curves and its theoretical compatibility was discussed. The proposed stem taper curve was also compared with other existing empirical stem taper curves in terms of the goodness of fit to 50 observed taper curves. It turned out that the ten equations compared were separated into five groups significantly differing from each other, of which the proposed equation fell into the second best group. \n In Chapter Ⅵ again assuming that the growth of individual trees in stem diameter and height follows the Mitscherlich equation, a heightdiameter curve for allaged stands was derived. Then based on a similar but slightly different assumption, another heightdiameter curve for evenaged stand was derived. Both equations are identical in their mathematical appearance but are different in what they mean.  
内容記述タイプ  Abstract  
内容記述  
内容記述  農林水産研究情報センターで作成したPDFファイルを使用している。  
内容記述タイプ  Other  
出版者  
出版者  名古屋大学農学部付属演習林  
言語  
言語  eng  
資源タイプ  
資源  http://purl.org/coar/resource_type/c_6501  
タイプ  departmental bulletin paper  
ID登録  
ID登録  10.18999/bulnuf.7.149  
ID登録タイプ  JaLC  
関連情報  
関連タイプ  isVersionOf  
関連識別子  
識別子タイプ  URI  
関連識別子  http://rms1.agsearch.agropedia.affrc.go.jp/contents/JASI/pdf/academy/402631.pdf  
ISSN（print）  
収録物識別子タイプ  ISSN  
収録物識別子  0469ｰ4708  
書誌情報 
名古屋大学農学部演習林報告 巻 7, p. 149260, 発行日 198403 

フォーマット  
application/pdf  
著者版フラグ  
値  publisher  
URI  
識別子  http://hdl.handle.net/2237/8659  
識別子タイプ  HDL 