Characterization of diameter distribution data in near-natural forests using the Birnbaum–Saunders distribution

Podlaski, Rafał

doi:10.1139/x07-190

Cited by 42 publications

(25 citation statements)

References 28 publications

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“…wind) causing an intensive mortality of trees (Podlaski 2008a). In the investigated stands, I. typographus colonised all P. abies windfalls in the first year after damage from wind.…”

Section: Application To Analysis Of I Typographus Population Densitymentioning

confidence: 99%

Statistical evaluation of Ips typographus population density: a useful tool in protected areas and conservation-oriented forestry

Borkowski

Podlaski

2011

Biodivers Conserv

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Ips typographus (Col., Curculionidae, Scolytinae) occurring on Picea abies stems is a species characterised by large fluctuations in population numbers and causing frequent outbreaks. In protected areas, I. typographus is regarded as a sensitive bioindicator responsive to changes in forest health and vitality. In conservation-oriented forestry, attention is being paid to the ecological value of I. typographus beetles as ecosystem engineers and keystone species, driving forest natural regeneration and conversion. Despite many publications devoted to I. typographus, no accurate method for estimating the population density of this species has been developed. The objective of this study was to develop a statistical method for estimating I. typographus population density that enables calculation of estimation errors. The proposed method consists of two parts: tree-level analyses and stand-level analyses. Part one allows calculation of the total density of I. typographus infestation of each of P. abies selected stem (after selecting sample windfalls), part two allows estimation of the mean total infestation density of the stem in the area investigated. Linear regression functions were applied to part one and survey sampling to part two. The method is only marginally invasive because it involves debarking of one 0.5 m-long stem section on maximum 50 P. abies windfalls (trap trees can optionally be used). The developed method was employed to assess I. typographus population density in the Ś więtokrzyskie Mountains in Central Poland in an area of ca. 4,000 ha. In 2010, in the area investigated, the mean total I. typographus infestation density of the P. abies stem was 440.6 maternal galleries/m 2 (from 358.7 to 522.6 maternal galleries/m 2 with a = 0.05; the relative error of estimation was 18.6%). The examined I. typographus population was in a progradation phase. The proposed method can be used in nature reserves, national parks and managed forests, mainly for scientific purposes.

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“…wind) causing an intensive mortality of trees (Podlaski 2008a). In the investigated stands, I. typographus colonised all P. abies windfalls in the first year after damage from wind.…”

Section: Application To Analysis Of I Typographus Population Densitymentioning

confidence: 99%

Statistical evaluation of Ips typographus population density: a useful tool in protected areas and conservation-oriented forestry

Borkowski

Podlaski

2011

Biodivers Conserv

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“…Some recent applications include: modeling of hourly SO 2 concentrations at ten monitoring stations located in different zones in Santiago [20]; modeling of diameter at breast height distributions of near-natural complex structure silver fir-European beech forests [30]; modeling of hourly dissolved oxygen (DO) concentrations observed at four monitoring stations located at different areas of Santiago [33]; statistical analysis of redundant systems with one warm stand-by unit [27]. Because of the widespread study and applications of the BS distribution, it is very important to have a Fisher information matrix which works for all the values of the model parameters.…”

Section: Introductionmentioning

confidence: 99%

A note on the Fisher information matrix of the Birnbaumandash;Saunders distribution

Lemonte¹

2016

JSTA

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“…The BS distribution is a popular model, commonly used in different areas of sciences and engineering; for example, Desmond (1985) considered the BS distribution as a model in biology, Leiva et al (2007), Barros et al (2008) presented some applications in the medical field, and Podlaski (2008), Leiva et al (2010) and Vilca et al (2010) used it to model data related to the forestry and environmental sciences.…”

Section: Introductionmentioning

confidence: 99%

An Extension of the Birnbaum-Saunders Distribution Based on Skew-Normal t Distribution

Jamalizadeh¹,

Amirzadeh²,

Hashemi³

2015

JSRI

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Abstract. In this paper, we introducte a family of univariate BirnbaumSaunders distributions arising from the skew-normal-t distribution. We obtain several properties of this distribution such as its moments, the maximum likelihood estimation procedure via an EM-algorithm and a method to evaluate standard errors using the EM-algorithm. Finally, we apply these methods to a real data set to demonstrate its flexibility and conduct a simulation study to demonstrate the usefulness of this distribution when compared to the ordinary Birnbaum-Saunders and skew-normal Birnbaum-Saunders distributions.

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Characterization of diameter distribution data in near-natural forests using the Birnbaum–Saunders distribution

Cited by 42 publications

References 28 publications

Statistical evaluation of Ips typographus population density: a useful tool in protected areas and conservation-oriented forestry

Statistical evaluation of Ips typographus population density: a useful tool in protected areas and conservation-oriented forestry

A note on the Fisher information matrix of the Birnbaumandash;Saunders distribution

An Extension of the Birnbaum-Saunders Distribution Based on Skew-Normal t Distribution

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