Journals / Turkish Journal of Agriculture and Forestry / 2014 / Cilt: 38 - Sayı: 1

Dynamic base-age invariant site index models based on generalized algebraic difference approach for mixed Scots pine (Pinus sylvestris L.) and Oriental beech (Fagus orientalis Lipsky) stands

Pages
134–147
Publication Date
2014-05-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Therefore, the new dynamic base-age invariant site index models developed based on GADA methodology can be recommended for dominant height prediction and forest site quality evaluations in the mixed stands of these 2 species.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Data from stem analysis of 397 dominant trees (198 Scots pine and 199 Oriental beech) were used to evaluate dynamic base-age invariant site index models derived from Bertalanffy-Richards, Hossfeld, and Lundqvist-Korf functions with the generalized algebraic difference approach (GADA) for mixed Scots pine (Pinus sylvestris L.) and Oriental beech (Fagus orientalis Lipsky) stands.
📊
Key Findings & Data:These functions were compared with respect to residuals of these models; specifically, the evaluation criteria were bias (E), root mean square error (RMSE), absolute mean error (AME), adjusted coefficient of determination (R2adj), and Akaike information criterion.
💡
Conclusion & Impact:Therefore, the new dynamic base-age invariant site index models developed based on GADA methodology can be recommended for dominant height prediction and forest site quality evaluations in the mixed stands of these 2 species.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Key words: Site index model · generalized algebraic difference approach · Scots pine

Abstract

Data from stem analysis of 397 dominant trees (198 Scots pine and 199 Oriental beech) were used to evaluate dynamic base-age invariant site index models derived from Bertalanffy-Richards, Hossfeld, and Lundqvist-Korf functions with the generalized algebraic difference approach (GADA) for mixed Scots pine (Pinus sylvestris L.) and Oriental beech (Fagus orientalis Lipsky) stands. These functions were compared with respect to residuals of these models; specifically, the evaluation criteria were bias (E), root mean square error (RMSE), absolute mean error (AME), adjusted coefficient of determination (R2adj), and Akaike information criterion. The best results were obtained with generalized algebraic difference equations derived from the base models of Bertalanffy-Richards for Oriental beech and Hossfeld for Scots pine. These selected models accounted for 95%-96% of the total variance in height-age relationships in dominant trees with bias of 0.049841 and 0.00171, RMSE of 1.55624 and 1.353736, AME of 0.940128 and 0.884034, and AIC of 723.55 and 1250.78 for Scots pine and Oriental beech, respectively. These dynamic base-age invariant site index models for the 2 tree species presented more effective and accurate polymorphic site index curves with multiple asymptotes than earlier site index models for Oriental beech and Scots pine. The important differences of height growth trend between developed base-age invariant site index models in this study and earlier site curves were determined by graphical comparisons for site index predictions. Therefore, the new dynamic base-age invariant site index models developed based on GADA methodology can be recommended for dominant height prediction and forest site quality evaluations in the mixed stands of these 2 species.

Özet

Data from stem analysis of 397 dominant trees (198 Scots pine and 199 Oriental beech) were used to evaluate dynamic base-age invariant site index models derived from Bertalanffy-Richards, Hossfeld, and Lundqvist-Korf functions with the generalized algebraic difference approach (GADA) for mixed Scots pine (Pinus sylvestris L.) and Oriental beech (Fagus orientalis Lipsky) stands. These functions were compared with respect to residuals of these models; specifically, the evaluation criteria were bias (E), root mean square error (RMSE), absolute mean error (AME), adjusted coefficient of determination (R2adj), and Akaike information criterion. The best results were obtained with generalized algebraic difference equations derived from the base models of Bertalanffy-Richards for Oriental beech and Hossfeld for Scots pine. These selected models accounted for 95%-96% of the total variance in height-age relationships in dominant trees with bias of 0.049841 and 0.00171, RMSE of 1.55624 and 1.353736, AME of 0.940128 and 0.884034, and AIC of 723.55 and 1250.78 for Scots pine and Oriental beech, respectively. These dynamic base-age invariant site index models for the 2 tree species presented more effective and accurate polymorphic site index curves with multiple asymptotes than earlier site index models for Oriental beech and Scots pine. The important differences of height growth trend between developed base-age invariant site index models in this study and earlier site curves were determined by graphical comparisons for site index predictions. Therefore, the new dynamic base-age invariant site index models developed based on GADA methodology can be recommended for dominant height prediction and forest site quality evaluations in the mixed stands of these 2 species.

🔖

Cite This Article

ERCANLI, İ., KAHRİMAN, A., YAVUZ, H. (2014). Dynamic base-age invariant site index models based on generalized algebraic difference approach for mixed Scots pine (Pinus sylvestris L.) and Oriental beech (Fagus orientalis Lipsky) stands. Turkish Journal of Agriculture and Forestry, Cilt: 38 - Sayı: 1, 134–147. https://ajindex.com/articles/180154

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (10)

  1. Adame P, Cañellas I, Roig S, del Rio M (2006). Modeling dominant height growth and site index curves for Rebollo oak (Quercus pyrenaica Willd.). Ann For Sci 63: 929–940.
  2. Alemdağ İŞ (1967). Structure and yield potential of Scotch pine (Pinus sylvestris L.) forests in Turkey and the principles to be followed in managing these forests. Ankara, Turkey: Forest Research Institute, Technical Bulletin No: 20 (in Turkish with English summary). Atıcı E (1998). Değişik Yaşlı Doğu Kayını (Fagus orientalis Lipsky.) Ormanlarında Artım Büyüme. PhD, Graduate School of Natural and Applied Sciences, İstanbul University, Turkey (in Turkish). Bailey RL, Cieszewski CJ (2000). Development of a well-behaved siteindex equation: Jack pine in north-central Ontario: comment. Can J Forest Res 30: 1667–1668.
  3. Bailey RL, Clutter JL (1974). Base-age invariant polymorphic site curves. Forest Sci 20: 155–159. Bravo-Oviedo A, del Río M, Montero G (2007). Geographic variation and parameter assessment in generalized algebraic difference site index modeling. Forest Ecol Manag 247: 107–119.
  4. Bruchwald A (1988). Introductory program of the MDI-1 growth model for Scots pine. Ann Warsaw Agri. Univ SGGW-AR For and Wood Tech 36: 3–9.
  5. Carmean WH (1972). Site index curves for upland oaks in the Central States. For Sci 18: 109–120.
  6. Carus S (1998). Aynı Yaşlı Doğu Kayını (Fagus orientalis Lipsky.) Ormanlarında Artım ve Büyüme. PhD, Graduate School of Natural and Applied Sciences, İstanbul University, Turkey (in Turkish). Cieszewski CJ (2001). Three methods of deriving advanced dynamic site equations demonstrated on inland Douglas-fir site curves. Can J Forest Res 31: 165–173.
  7. Cieszewski CJ (2002). Comparing fixed and variable-base-age site equations having single versus multiple asymptotes. Forest Sci 48: 7–23.
  8. Cieszewski CJ (2003). Developing a well-behaved dynamic site equation using a modified Hossfeld IV function Y 3 = (Ax m )/(C + X m-1 ): a simplified mixed-model and scant subalpine fir data. Forest Sci 49: 539–554.
  9. Cieszewski CJ (2004). GADA Derivation of Dynamic Site Equations with Polymorphism and Variable Asymptotes From Richards to Weibull and Other Exponential Functions. Athens, GA, USA: Plantation Management Research Cooperative. Cieszewski CJ, Bailey RL (2000). Generalized algebraic difference approach: theory based derivation of dynamic site equations with polymorphism and variable asymptotes. Forest Sci 46: 116–126.
  10. Cieszewski CJ, Nigh G (2002). A dynamic equation for a Sitka Spruce heigh