Relative growth of <i>Menippe frontalis</i> (Crustacea: Brachyura) in the Gulf of Guayaquil, Ecuador, by multi-model approach

Zambrano, René; Ramos, John

doi:10.1590/2358-2936e2020030

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Original Article • Nauplius 28 • 2020 • https://doi.org/10.1590/2358-2936e2020030 copy

Relative growth of Menippe frontalis (Crustacea: Brachyura) in the Gulf of Guayaquil, Ecuador, by multi-model approach

Authorship SCIMAGO INSTITUTIONS RANKINGS

Abstract

Relative growth can help to identify dimorphism between individuals, and it is also used to determine changes in ontogeny related to sexual maturity. The morphometric variables recorded were width, length and height in carapace and chelae. The abdomen width was taken only in females. Data analysis was made separating males and females. Exploratory analysis used maximum, minimum and mean values and compared these values between sexes using MANOVA, ANOVA and LSD-Fisher methods. A weight-size relationship was also determined. Relative growth was estimated using a multi-model approach. Six models were applied, and the best was selected using Akaike and Bayesian information criteria. Residual versus predicted graphics were also produced based on the selected models. The mean sizes were similar between sexes, but the maximum values were observed in males. The weight-size relationships showed a negative allometry. The best model varied by morphometric variables and sex, but the type of relative growth was principally isometric and negative allometry. Biometric characteristics in Menippe frontalis A. Milne-Edwards, 1879 did not show abrupt changes in the relative growth. The threshold was not assumed as an indicator of morphometric sexual maturity however, they may be used for establishing legal minimum size in M. frontalis.

Keywords
Morphometry; multi-model approach; Pangora; relative growth; stone crab

Models	Abb.	Equations
Linear	LM	$L n (y) = {L n (a}_{1}) + b_{1} L n (x)$
Quadratic	QM	$L n (y) = L n {(a}_{1}) + b_{1} L n (x) + b_{2} L n {(x)}^{2}$
Cubic	CM	$L n (y) = L n {(a}_{1}) + b_{1} L n (x) + b_{2} L n {(x)}^{2} + b_{3} L n {(x)}^{3}$
Broken stick	BSM	$L n (y) = L n {(a}_{1}) + b_{1} L n (x) i f x \leq B_{1}$ $L n (y) = L n {(a}_{1}) + (b_{1} - b_{2}) L n (B_{1}) + b_{2} L n (x) i f x > B_{1}$
Two segments	TwSM	$L n (y) = {L n (a}_{1}) + b_{1} L n (x) i f x \leq B_{1}$ $L n (y) = {L n (a}_{2}) + b_{2} L n (x) i f x > B_{1}$
Three segments	ThSM	$L n (y) = {L n (a}_{1}) + b_{1} L n (x) i f x \leq B_{1}$ $L n (y) = {L n (a}_{2}) + b_{2} L n (x) i f B_{1} < x < B_{2}$ $L n (y) = L n {(a}_{2}) + b_{3} L n (x) i f x > B_{2}$

	Males			Females
	Min	Max	Mean ± SD	Min	Max	Mean ± SD	p	LSD Fisher
CW	50.65	144.80	92.84 ± 15.42	50.65	120.90	93.41 ± 16.63	0.7699	3.81
CL	37.60	117.17	67.87 ± 13.84	33.35	102.54	68.64 ± 15.26	0.6624	3.47
CH	17.29	49.28	32.78 ± 5.79	17.00	48.41	34.41 ± 6.65	0.0321	1.49

Males							Females
Carapace width vs
	BM	a₁	b₁	a₂	b₂	B₁	BM	a₁	b₁	a₂	b₂	b₃	B₁
LCL	TwSM (*)	0.79	0.76	-0.04	0.98	4.47	QM (*)	2.04	0.35		0.07
LCH	LM (***)	-1.28	1.07				QM (*)	9.58	-3.85		0.55
LCW	LM (***)	-1.62	1.07				QM (*)	7.25	-2.93		0.44
RCL	LM (*)	-0.39	1.06				CM (*)	59.64	-50.80		15.15	-1.47
RCH	LM (**)	0.09	1.03				CM (**)	45.35	-39.34		11.95	-1.18
RCW	LM (*)	-1.54	1.07				LM (***)	-1.17	0.96
CL	QM (*)	6.31	-2.06		0.35		LM (**)	-0.83	1.11
CH	LM (*)	-1.04	1.00				LM (***)	-1.12	1.03
AW							QM (*)	3.34	-0.92		0.21
Carapace length vs
LCL	QM (***)	-6.82	4.45		-0.43		QM (***)	-3.63	3.03		-0.28
LCH	TwSM (*)	-1.54	1.24	-0.03	0.85	4.24	LM (**)	0.26	0.75
LCW	TwSM (*)	-1.11	1.03	0.54	0.65	3.97	TwSM (***)	-0.78	0.93	-0.28	0.79		4.25
RCL	TwSM (*)	0.49	0.92	1.59	0.67	3.97	TwSM (*)	0.03	1.02	1.01	0.77		4.25
RCH	LM (***)	0.11	0.85				TwSM (*)	-0.59	1.00	0.73	0.67		4.25
RCW	TwSM (*)	-1.67	1.2	0.55	0.66	3.97	TwSM (*)	-0.96	1.00	0.66	0.6		4.25
CH	TwSM (*)	-0.99	1.08	0.23	0.77	4.24	TwSM (*)	-0.64	1.00	0.16	0.79		4.25
AW							TwSM (*)	-0.43	0.96	0.67	0.68		4.25
Carapace height vs
LCL	LM (***)	0.56	1.09				LM (**)	1.19	0.85
LCH	LM (**)	0.02	1.02				CM (*)	62.49	-53.62		15.85	-1.53
LCW	LM (***)	-0.3	1.02				CM (*)	45.65	-39.73		11.97	-1.17
RCL	LM (***)	0.88	1.01				CM (*)	28.33	-23.1		7.07	-0.69
RCH	LM (*)	0.09	1.03				LM (***)	0.44	0.89
RCW	LM (***)	-0.27	1.03				LM (**)	0.04	0.89
AW							CM (*)	28.83	-24.78		7.70	-0.77

Sociedade Brasileira de Carcinologia Instituto de Biociências, UNESP, Campus Botucatu, Rua Professor Doutor Antônio Celso Wagner Zanin, 250 , Botucatu, SP, 18618-689 - Botucatu - SP - Brazil
E-mail: editor.nauplius@gmail.com

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[1] CORRESPONDING AUTHOR
René Zambrano eddie_zam89@hotmail.com