Modelling Stand Diameter Distribution by Using 3-Parameters Weibull Probability Density Function in Sarıçiçek-Vezirköprü Forest Enterprise

Abstract

In this study, it is aiming to model stand diameter distribution by using different parameter prediction methods for 3-Parameter Weibull probability density function in Sariciçek Forest Enterprise. The parameter of Weibull pdf were estimated by using five methods based on 25th, 31th, 50th, 63th and 95th percentiles obtained from data including 428 sample plots. In evaluations based on Rennolds et. al. (1988)’s error index values, the method using some equations including 31th, 50th and 63th percentiles were assessed to the most successful technique for modeling stand diameter in studied forest areas. When the relationships between the parameters of Weibull function and some stand attributes were analyzed, the statistical significant relationships were obtained for species admixtures and stand diameter classes. However, it is determined that stand crown closure has no effect on the value of the parameters of 3-Parameter Weibull probability density function.

Keywords

• Stand diameter distribution models,3-Parameter Weibull probability density function,Parameter prediction method based on percentile values

Vezirköprü-Sarıçiçek Orman İşletme Şefliği Sınırları İçerisinde Yer Alan Meşçerelerin Çap Dağılımlarının 3 Parametreli Weibull Olasılık Yoğunluk Fonksiyonu İle Modellenmesi

Abstract

Bu çalışmada, Sarıçiçek Orman İşletme Şefliğinde yayılış gösteren farklı meşcereleri için 3 parametreli Weibull olasılık yoğunluk fonksiyonun parametrelerinin tahmine ilişkin farklı eşitlikler ile çap dağılımlarının modellenmesi amaçlanmıştır. Bu amaçla, çalışmaya konu meşcerelerden alınmış 428 örnek alan verisi kullanılarak çap dağılımlarının %25,  %31, %50, %63 ve %95’lik değerlerine karşılık gelen çapları esas alan 5 farklı yüzdelik yöntemi ile 3 parametreli Weibull olasılık yoğunluk fonksiyonun parametreleri tahmin edilmiştir. Rennolds vd. (1988) tarafından geliştirilen hata indeksine bağlı olarak yapılan karşılaştırmada,  %31,  %50 ve %63’lük değerleri esas alan eşitliklere dayanan parametre tahmin yöntemi; çalışma alanındaki meşcerelerinin çap dağılımını modellemede en başarılı parametre tahmin yöntemi olarak belirlenmiştir. Ayrıca, olasılık yoğunluk fonksiyonun parametrelerinin çeşitli meşcere özelliklerine göre değişimleri değerlendirildiğinde; parametre değerleri ile ağaç tür karışımları ve çağ sınıfları arasında istatistiksel olarak anlamlı ilişkiler elde edilmiştir. Meşcere kapalılığının ise meşcere çap dağılımın modelleyen Weibull fonksiyonun parametre değeri üzerinde bir etkisinin olmadığı belirlenmiştir.

Keywords

• Çap dağılım modelleri,3 Parametreli Weibull olasılık yoğunluk fonksiyonu,Yüzdelikleri esas alan parametre tahmin yöntemi

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