Modelling diameter distribution of Tetraclinis articulata in Tunisia using normal and weibull distributions with parameters depending on stand variables

The objective of this study was to evaluate the effectiveness of both Normal and two-parameter Weibull distributions in describing diameter distribution of Tetraclinis articulata stands in north-east Tunisia. The parameters of the Weibull function were estimated using the moments method and maximum likelihood approaches. The data used in this study came from temporary plots. The three diameter distribution models were compared firstly by estimating the parameters of the distribution directly from individual tree measurements taken in each plot (parameter estimation method), and secondly by predicting the same parameters from stand variables (parameter prediction method). The comparison was based on bias, mean absolute error, mean square error and the Reynolds’ index error (as a percentage). On the basis of the parameter estimation method, the Normal distribution gave slightly better results, whereas the Weibull distribution with the maximum likelihood approach gave the best results for the parameter prediction method. Hence, in the latter case, the Weibull distribution with the maximum likelihood approach appears to be the most suitable to estimate the parameters for reducing the different comparison criteria for the distribution of trees by diameter class in Tetraclinis articulata forests in Tunisia. © SISEF.

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Bibliographic Details
Main Authors: Sghaier, T., Cañellas, I., Calama Sainz, Rafael Argimiro, Sánchez-González, M.
Format: artículo biblioteca
Language:English
Published: Italian Society of Silviculture and Forest Ecology (SISEF) 2016
Subjects:Diameter Class Model, Normal Distribution, Weibull Distribution, Maximum Likelihood Approach, Moments Method, Tetraclinis articulata,
Online Access:http://hdl.handle.net/20.500.12792/4313
http://hdl.handle.net/10261/292959
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spelling dig-inia-es-10261-2929592023-02-21T02:41:20Z Modelling diameter distribution of Tetraclinis articulata in Tunisia using normal and weibull distributions with parameters depending on stand variables Sghaier, T. Cañellas, I. Calama Sainz, Rafael Argimiro Sánchez-González, M. Diameter Class Model Normal Distribution Weibull Distribution Maximum Likelihood Approach Moments Method Tetraclinis articulata The objective of this study was to evaluate the effectiveness of both Normal and two-parameter Weibull distributions in describing diameter distribution of Tetraclinis articulata stands in north-east Tunisia. The parameters of the Weibull function were estimated using the moments method and maximum likelihood approaches. The data used in this study came from temporary plots. The three diameter distribution models were compared firstly by estimating the parameters of the distribution directly from individual tree measurements taken in each plot (parameter estimation method), and secondly by predicting the same parameters from stand variables (parameter prediction method). The comparison was based on bias, mean absolute error, mean square error and the Reynolds’ index error (as a percentage). On the basis of the parameter estimation method, the Normal distribution gave slightly better results, whereas the Weibull distribution with the maximum likelihood approach gave the best results for the parameter prediction method. Hence, in the latter case, the Weibull distribution with the maximum likelihood approach appears to be the most suitable to estimate the parameters for reducing the different comparison criteria for the distribution of trees by diameter class in Tetraclinis articulata forests in Tunisia. © SISEF. 2023-02-20T07:34:17Z 2023-02-20T07:34:17Z 2016 artículo IForest 9(1): 702-709 (2016) 1971-7458 http://hdl.handle.net/20.500.12792/4313 http://hdl.handle.net/10261/292959 10.3832/ifor1688-008 en open Italian Society of Silviculture and Forest Ecology (SISEF)
institution INIA ES
collection DSpace
country España
countrycode ES
component Bibliográfico
access En linea
databasecode dig-inia-es
tag biblioteca
region Europa del Sur
libraryname Biblioteca del INIA España
language English
topic Diameter Class Model
Normal Distribution
Weibull Distribution
Maximum Likelihood Approach
Moments Method
Tetraclinis articulata
Diameter Class Model
Normal Distribution
Weibull Distribution
Maximum Likelihood Approach
Moments Method
Tetraclinis articulata
spellingShingle Diameter Class Model
Normal Distribution
Weibull Distribution
Maximum Likelihood Approach
Moments Method
Tetraclinis articulata
Diameter Class Model
Normal Distribution
Weibull Distribution
Maximum Likelihood Approach
Moments Method
Tetraclinis articulata
Sghaier, T.
Cañellas, I.
Calama Sainz, Rafael Argimiro
Sánchez-González, M.
Modelling diameter distribution of Tetraclinis articulata in Tunisia using normal and weibull distributions with parameters depending on stand variables
description The objective of this study was to evaluate the effectiveness of both Normal and two-parameter Weibull distributions in describing diameter distribution of Tetraclinis articulata stands in north-east Tunisia. The parameters of the Weibull function were estimated using the moments method and maximum likelihood approaches. The data used in this study came from temporary plots. The three diameter distribution models were compared firstly by estimating the parameters of the distribution directly from individual tree measurements taken in each plot (parameter estimation method), and secondly by predicting the same parameters from stand variables (parameter prediction method). The comparison was based on bias, mean absolute error, mean square error and the Reynolds’ index error (as a percentage). On the basis of the parameter estimation method, the Normal distribution gave slightly better results, whereas the Weibull distribution with the maximum likelihood approach gave the best results for the parameter prediction method. Hence, in the latter case, the Weibull distribution with the maximum likelihood approach appears to be the most suitable to estimate the parameters for reducing the different comparison criteria for the distribution of trees by diameter class in Tetraclinis articulata forests in Tunisia. © SISEF.
format artículo
topic_facet Diameter Class Model
Normal Distribution
Weibull Distribution
Maximum Likelihood Approach
Moments Method
Tetraclinis articulata
author Sghaier, T.
Cañellas, I.
Calama Sainz, Rafael Argimiro
Sánchez-González, M.
author_facet Sghaier, T.
Cañellas, I.
Calama Sainz, Rafael Argimiro
Sánchez-González, M.
author_sort Sghaier, T.
title Modelling diameter distribution of Tetraclinis articulata in Tunisia using normal and weibull distributions with parameters depending on stand variables
title_short Modelling diameter distribution of Tetraclinis articulata in Tunisia using normal and weibull distributions with parameters depending on stand variables
title_full Modelling diameter distribution of Tetraclinis articulata in Tunisia using normal and weibull distributions with parameters depending on stand variables
title_fullStr Modelling diameter distribution of Tetraclinis articulata in Tunisia using normal and weibull distributions with parameters depending on stand variables
title_full_unstemmed Modelling diameter distribution of Tetraclinis articulata in Tunisia using normal and weibull distributions with parameters depending on stand variables
title_sort modelling diameter distribution of tetraclinis articulata in tunisia using normal and weibull distributions with parameters depending on stand variables
publisher Italian Society of Silviculture and Forest Ecology (SISEF)
publishDate 2016
url http://hdl.handle.net/20.500.12792/4313
http://hdl.handle.net/10261/292959
work_keys_str_mv AT sghaiert modellingdiameterdistributionoftetraclinisarticulataintunisiausingnormalandweibulldistributionswithparametersdependingonstandvariables
AT canellasi modellingdiameterdistributionoftetraclinisarticulataintunisiausingnormalandweibulldistributionswithparametersdependingonstandvariables
AT calamasainzrafaelargimiro modellingdiameterdistributionoftetraclinisarticulataintunisiausingnormalandweibulldistributionswithparametersdependingonstandvariables
AT sanchezgonzalezm modellingdiameterdistributionoftetraclinisarticulataintunisiausingnormalandweibulldistributionswithparametersdependingonstandvariables
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