Crown morphometry for <i>Quercus crassifolia</i> Humb. &amp; Bonpl. and <i>Quercus rugosa</i> Née in Hidalgo, Mexico

Hernández-Ramos, Jonathan; Ángeles-Pérez, Gregório; Pérez-Miranda, Ramiro; Reyes-Hernández, Valentin José; Razo-Zárate, Ramón

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Artigo • Ciênc. Florest. 32 (3) • Jul-Sep 2022 • https://doi.org/10.5902/1980509865276 copy

Crown morphometry for Quercus crassifolia Humb. & Bonpl. and Quercus rugosa Née in Hidalgo, Mexico

Authorship SCIMAGO INSTITUTIONS RANKINGS

Abstract

Quercus crassifolia and Quercus rugosa are species of ecological and economic importance due to their geographical distribution, altitudinal range, abundance in mountainous regions, and plasticity. However, forest management and exploitation have proven incompatible with the ecological needs of each Quercus species, partly due to the lack of quantitative silvicultural tools. For this reason, the following objectives were established i) to determine the morphometric indices (MI) and their correlation with the normal diameter (dn), total height (At), crown diameter (dc) and clean stem height (Afl); and ii) to adjust with Mixed Effects Models (MEM), the characteristics of the Quercus crassifolia and Quercus rugosa crown as a function of dn, with the inclusion of the altitude covariate. With dasometric information from 128 sampling sites distributed in 32 clusters in temperate climate forests of the state of Hidalgo, eight MI were calculated and correlated using the Pearson coefficient. In addition, the Schumacher, Allometric and Linear models were adjusted with MEM to estimate the dc, crown projection area (Apc), and crown proportion in percentage (pc%), respectively. For Quercus crassifolia, for every meter that the crown radius grows there is an increase of 8.8 cm in dn, while in Quercus rugosa the increase is 9.8 cm. The average slenderness index is 0.53 and 0.51, respectively. The Pearson correlation between dasometric variables and MI with the cup shape was -0.61 and for the total height, Apc, dc and pc% with the dn it was >0.64, both for the two species. The MEMs were statistically robust and without violations of the regression assumptions. The silvicultural information generated can be a reference to plan management and monitoring activities in the Quercus crassifolia and Quercus rugosa stands.

Keywords:
Allometric relationships; Forest use; Oak forest; Forest management

No.	Modelo	Estructura
9,1	Schumacher	$d c = a_{0 j} ∙ e^{({- a}_{1} ∙ {d n}^{- 1})} + ε_{i j}$
9,2	Schumacher	$d c = a_{0} ∙ e^{({- a}_{1 j} ∙ {d n}^{- 1})} + ε_{i j}$
10,1	Alométrico	$A p c = a_{0 j} ∙ {d n}^{a_{1}} + ε_{i j}$
10,2	Alométrico	$A p c = a_{0} ∙ {d n}^{a_{1 j}} + ε_{i j}$
11,1	Lineal	$p c % = a_{0 j} + a_{1} ∙ d n + ε_{i j}$
11,2		$p c % = a_{0} + a_{1 j} ∙ d n + ε_{i j}$
11,3		$p c % = a_{0 j} + a_{1 j} ∙ d n + ε_{i j}$

Estadísticos/Variables	dn	At	dc	Afl	rc	Apc	pc	i	is	ia	fc	pc%
Quercus crassifolia
Media	18,61	9,09	4,21	3,83	2,11	13,99	5,26	0,53	0,23	0,47	1,00	56,67
Mínimo	7,50	2,70	0,40	0,60	0,20	0,13	0,20	0,19	0,03	0,05	0,18	4,44
Máximo	58,80	25,00	10,80	14,00	5,40	91,61	21,50	1,28	0,50	1,07	11,50	95,71
Error típico	0,33	0,15	0,07	0,09	0,04	0,57	0,12	0,01	0,00	0,01	0,03	0,70
Desviación estándar	8,83	3,86	1,95	2,28	0,97	15,15	3,09	0,17	0,07	0,15	0,76	18,59
Varianza de la muestra	77,97	14,87	3,80	5,18	0,95	229,49	9,55	0,03	0,00	0,02	0,58	345,54
Quercus rugosa
Estadísticos/Variables	dn	At	dc	Afl	rc	Apc	pc	ie	is	ia	fc	pc%
Media	16,73	7,82	3,43	3,02	1,71	9,19	4,80	0,51	0,22	0,47	0,99	59,55
Mínimo	7,50	2,00	0,90	1,00	0,45	0,64	0,20	0,17	0,07	0,15	0,29	7,84
Máximo	58,40	17,20	7,80	8,80	3,90	47,78	13,20	1,15	0,40	0,98	8,50	87,42
Error típico	0,80	0,32	0,14	0,16	0,07	0,93	0,26	0,02	0,01	0,01	0,10	1,70
Desviación estándar	8,56	3,46	1,46	1,74	0,73	10,00	2,80	0,19	0,07	0,16	1,10	18,20
Varianza de la muestra	73,23	11,97	2,14	3,04	0,54	99,91	7,82	0,03	0,00	0,03	1,20	331,08

No.	Especie	Parámetro	a ₀	a ₁	R ²	AIC
9,1	Quercus crassifolia		10,053	14,988	0,6996	2.090,53
9,1		Error estándar	0,43478	0,47423
9,2			10,373	15,368	0,6825	2.126,38
9,2		Error estándar	0,25383	0,715847
9,1	Quercus rugosa		7,280	11,439	0,6403	315,48
9,1		Error estándar	0,58759	0,963168
9,2			7,600	12,164	0,6053	323,73
9,2		Error estándar	0,45261	1,36793
10,1	Quercus crassifolia		0,200	1,464	0,6930	4.961,01
10,1		Error estándar	0,037	0,045186
10,2			0,261	1,380	0,6956	4.953,93
10,2		Error estándar	0,04157	0,053804
10,1	Quercus rugosa		0,432	1,149	0,4906	784,75
10,1		Error estándar	0,161	0,111694
10,2			0,127	1,497	0,7236	732,89
10,2		Error estándar	0,04804	0,128317

No.	Especie	Parámetro de efecto	Variable	Valor de F	Pr(F)	AIC	logLik
11,1	Quercus crassifolia	a ₀	dn	43,1210	<0,0001	5.919,6	-2.951,8
11,1		a ₀	factor(Altitud)	26,0200	<0,0001
11,2		a ₁	dn	42,0210	<0,0001	5.937,6	-2.960,8
11,2		a ₁	dn: factor(Altitud)	21,8320	<0,0001
11,3		a ₀ y a ₁	dn	43,2691	<0,0001	5.922,1	-2.948,1
			factor(Altitud)	26,1099	<0,0001
			dn:factor(Altitud)	1,4754	0,1956
11,1	Quercus rugosa	a ₀	dn	17,2500	<0,0001	961,7	-474,8
11,1		a ₀	factor(Altitud)	10,8510	<0,0001
11,2		a ₁	dn	16,2385	<0,0001	968,6	-478,3
11,2		a ₁	dn: factor(Altitud)	8,0643	<0,0001
11,3		a₀ y a ₁	dn	19,3084	<0,0001	951,5	-466,8
			factor(Altitud)	12,1453	<0,0001
			dn: factor(Altitud)	5,3756	<0,0001

Universidade Federal de Santa Maria Av. Roraima, 1.000, 97105-900 Santa Maria RS Brasil, Tel. : (55 55)3220-8444 r.37, Fax: (55 55)3220-8444 r.22 - Santa Maria - RS - Brazil
E-mail: cienciaflorestal@ufsm.br

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Ciencias Forestales, Me., Investigador Titular. • forestjonathanhdez@gmail.com