Compatible stem volume and taper equations for Cilicica fir

Abstract

Four taper estimating systems were evaluated for Cilicica fir (Abies cilicica Carr.) in Turkey to demonstrate statistical and practical considerations that should be used when selecting a taper estimating system for forest inventory purposes. The four equations selected were: Kozak et al. (1969), Demaerschalk (1972), Max and Burkhart (1976), and Clark et al. (1991). Tested models have been compared using evaluation statistics like as: mean difference (MD), standard error of the estimate (SEE), and Fit index (FI). Clark et al. (1991)’s segmented taper model was superior in predicting Cilicica fir stem form and stem volume than the other models. However, since this model also requires the measurement of the upper stem diameter value at 5.30 m for stem diameter and volume estimations, it was concluded that Max and Burkhart (1976) model is more suitable for practical forestry purposes among the models tested. Clark et al.’s, Max and Burkhart’s, and Demaerschalk’s models showed consistent prediction performances for both the whole stem and different parts of the stem in terms of MD and SEE values in diameter and volume estimates. Average diameter and volume prediction errors were less than 2.0 cm and 0.01 m3, respectively. All models produced reliable results for diameter and merchantable taper volume estimates at any point, based on 10 different relative height classes.

Keywords

• Compatible stem diameter model
• Taper and volume
• Abies cilicica

Toros göknarı için uyumlu hacim ve gövde çapı modelleri

Abstract

Bu çalışmada, orman envanteri uygulamaları için bir gövde çapı modelinin seçiminde kullanılabilecek istatistiksel ve pratik hususları göstermek amacıyla Toros göknarı (Abies cilicica Carr.) için dört gövde çapı modeli karşılaştırmalı olarak değerlendirilmiştir. Bu amaçla Kozak vd. (1969), Demaerschalk (1972), Max ve Burkhart (1976) ve Clark vd. (1991) tarafından geliştirilen uyumlu gövde çapı modelleri seçilmiştir. Modeller, ortalama hata (MD), tahminlerin standart hatası (SEE) ve uyum indeksi (FI) ölçüt değerleri kullanılarak karşılaştırılmıştır. Çalışma sonucunda, Clark vd. (1991) tarafından geliştirilen modelin gövde çapı ve gövde hacmi tahminlerinde diğer modellerden daha üstün olduğu görülmüştür. Ancak bu model gövde çapı ve hacim tahminleri için 5.30 m’deki çap değerine de ihtiyaç duyması nedeniyle Max ve Burkhart (1976) modelinin test edilen modeller arasında pratik ormancılık uygulamaları için daha uygun olduğu sonucuna varılmıştır. Clark vd. (1991), Max ve Burkhart (1976) ve Demaerschalk (1972) modelleri çap ve hacim tahminlerindeki MD ve SEE değerleri bakımından hem tüm gövde hem de gövdenin farklı bölümleri için tutarlı tahmin performansları göstermiştir. Test edilen modeller için çap tahminlerindeki ortalama hata 2.0 cm’den, hacim tahminlerindeki ortalama hata ise 0.01 m3’ten daha azdır. Karşılaştırılan tüm modeller, 10 farklı nispi boy sınıfı esas alındığında, herhangi bir noktadaki çap ve ticari gövde hacim tahminleri için güvenilir sonuçlar üretmiştir.

Keywords

• Uyumlu gövde çapı modeli
• Gövde çapı ve hacim
• Toros göknarı

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