Diametric distribution modeling of forest species in arboreal Caatinga vegetation, Brazil

Brito, Adriano Castro de; Paula, Alessandro de; Barreto-Garcia, Patrícia Anjos Bittencourt; Lima, Robson Borges de; Souza, Deoclides Ricardo

doi:10.1590/0034-737X202269040011

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Plant Health • Rev. Ceres 69 (4) • Jul-Aug 2022 • https://doi.org/10.1590/0034-737X202269040011 copy

Diametric distribution modeling of forest species in arboreal Caatinga vegetation, Brazil¹ This work is part of the master’s dissertation of the first author.

Authorship SCIMAGO INSTITUTIONS RANKINGS

ABSTRACT

The distribution modeling in diameter classes is an important indicator of the potential use of a forest community, as well as the projection of future forest production. The objective of this study was to evaluate the diametric structure and to select probabilistic density functions for three woody species in forested arboreal Caatinga vegetation in Bahia, Brazil. The study was carried out in the Contendas do Sincorá National Forest in the state of Bahia, Brazil. A total of 16 plots of 20 x 20 m were installed and all individuals with diameter at breast height equal to or greater than 5.0 cm were measured. The three species with the highest population density (Commiphora leptophloeos, Manihot catinga and Patagonula bahiensis) were selected for analysis and modeling of the diametric structure. Four probabilistic density models were adjusted. The Akaike information criterion was used to select the best model. The results found indicated that the three species presented a decreasing type curve. The Log-Normal function best described the diametric distribution and it can be indicated to describe the diametric distribution and assist in making decisions about the management and conservation of these species. It is concluded that the Normal function was less adequate to represent the distribution of the studied species.

Keywords:
probabilistic density functions; forest management; forested savanna-steppe

Function	Formula
Normal	$f (x) = \frac{1}{σ \sqrt{2 π}} e x p - (\frac{1}{2}) \frac{(x - μ) ²}{σ ²}$
Log-Normal	$f (x) = \frac{1}{x \sqrt{2 π σ ²}} e x p - (\frac{1}{2 σ^{2}}) (l n x - μ) ²$
Gamma	$f (x) = \frac{{(x - x m i n)}^{α - 1} {e x p}^{- (\frac{1}{β}) (x - x m i n)}}{Г (α) β^{α}}$
Weibull-2P	$f (x) = (\frac{γ}{β}) . {(\frac{x}{β})}^{γ - 1} e x p [- {(\frac{x}{β})}^{γ}]$

Species	Parameters	Maximum	Minimum	Mean ± DP
Commiphora leptophloeos	Basal area	2,1253 m²	0,00196 m²	0,0243 ± 0,1355
Commiphora leptophloeos	Height	14 m	3 m	6,2 ± 2,058
Manihot catingae	Basal area	0,0196 m²	0,00196 m²	0,0036 ± 0,0022
Manihot catingae	Height	12 m	3 m	6,4 ± 1,497
Patagonula bahiensis	Basal area	0,0594 m²	0,00196 m²	0,0058 ± 0,0064
Patagonula bahiensis	Height	13 m	2 m	6,5 ± 2,018

measure	Species
measure	Commiphora leptophloeos	Manihot catingae	Patagonula bahiensis
𝑑̅	12,49	6,57	7,95
M_d	9,05	6,1	7,0
M_o	6,0	5,0	5,5
D_min.	5,0	5,0	5,0
D_máx.	164,5	15,8	27,5
A	159,5	10,8	22,5
𝜎²	153,84	2,73	10,81
𝜎	12,4	1,65	3,29
CV%	99,27	25,11	41,38
Assimetria	7,90	2,15	2,47
Curtose	90,33	6,13	8,0

Function	Parameters	Species
Function	Parameters	Commiphora leptophloeos	Manihot catingae	Patagonula bahiensis
Normal	𝜎²	153,84	2,73	10,81
Normal	𝜎	12,4	1,65	3,29
Log-Normal	𝜎	0,235	0,093	0,142
Gamma	Α	2,7894	20,0275	8,3031
Gamma	Β	0,2232	3,0457	1,0440
Weibull-2P	Γ	1,3748	3,6376	2,4365
Weibull-2P	Β	13,8795	7,2181	8,9540

Species	Function	Ranking	AIC
Commiphora leptophloeos	Log Normal	1º	1586,264
	Gamma	2º	1667,704
	Weibull 2P	3º	1729,023
	Normal	4º	1987,208
Manihot catingae	Log Normal	1º	860,6554
	Gamma	2º	886,7801
	Normal	3º	951,8447
	Weibull 2P	4º	990,7603
Patagonula bahiensis	Log Normal	1º	1370,885
	Gamma	2º	1415,754
	Weibull 2P	3º	1514,326
	Normal	4º	1542,492

Universidade Federal de Viçosa Av. Peter Henry Rolfs, s/n, 36570-000 Viçosa, Minas Gerais Brasil, Tel./Fax: (55 31) 3612-2078 - Viçosa - MG - Brazil
E-mail: ceres@ufv.br

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[1] *Corresponding author: acbrito.eng@gmail.com

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Diametric distribution modeling of forest species in arboreal Caatinga vegetation, Brazil1 This work is part of the master’s dissertation of the first author.

ABSTRACT

Diametric distribution modeling of forest species in arboreal Caatinga vegetation, Brazil¹ This work is part of the master’s dissertation of the first author.