Análise probabilística da vulnerabilidade à estenoespermocarpia por estresse higrotérmico em mangas 'Palmer', por meio de abordagem baseada em cópulas

Santiago, Edgo Jackson Pinto; Cantalice, José Ramon Barros; Gomes-Silva, Frank; Mouco, Maria Aparecida do Carmo; Silva, Antonio Samuel Alves da; Cunha Filho, Moacyr; Oliveira, Gertrudes Macario de; Freire, Ana Karla da Silva

Edgo Jackson Pinto Santiago Corresponding author

Universidade de Pernambuco, Núcleo Comum das Licenciaturas do Campus Petrolina, BR 203, KM 2, s/n^o, Vila Eduardo, CEP 56328-900 Petrolina, PE, Brazil

https://orcid.org/0000-0003-3981-7635

José Ramon Barros Cantalice

Universidade Federal Rural de Pernambuco, Departamento de Estatística e Informática, Rua Dom Manuel de Medeiros, s/n^o, Dois Irmãos, CEP 52171-900 Recife, PE, Brazil

https://orcid.org/0000-0002-8209-341X

Frank Gomes-Silva

Universidade Federal Rural de Pernambuco, Departamento de Estatística e Informática, Rua Dom Manuel de Medeiros, s/n^o, Dois Irmãos, CEP 52171-900 Recife, PE, Brazil

https://orcid.org/0000-0002-3481-3099

Maria Aparecida do Carmo Mouco

Embrapa Semiárido, BR 428, Km 152, Zona Rural, Caixa Postal 23, CEP 56302-970 Petrolina, PE, Brazil

https://orcid.org/0000-0003-0697-9638

Antonio Samuel Alves da Silva

Universidade Federal Rural de Pernambuco, Departamento de Estatística e Informática, Rua Dom Manuel de Medeiros, s/n^o, Dois Irmãos, CEP 52171-900 Recife, PE, Brazil

https://orcid.org/0000-0002-8759-0036

Moacyr Cunha Filho

Universidade Federal Rural de Pernambuco, Departamento de Estatística e Informática, Rua Dom Manuel de Medeiros, s/n^o, Dois Irmãos, CEP 52171-900 Recife, PE, Brazil

https://orcid.org/0000-0002-3466-8143

Gertrudes Macario de Oliveira

Universidade do Estado da Bahia, Departamento de Tecnologia e Ciências Sociais, Campus III, Rua Edgar Chastinet, s/n^o, São Geraldo, CEP 48905-680 Juazeiro, BA, Brazil

https://orcid.org/0000-0002-7587-5800

Ana Karla da Silva Freire

Universidade Federal Rural de Pernambuco, Núcleo de Assistência e Promoção à Saúde, Rua Cento e Sessenta e Três, n^o 300, Garapu, CEP 54503-900 Cabo de Santo Agostinho, PE, Brazil

https://orcid.org/0000-0003-0338-9536

Corresponding author

Month	Tmean				Tmax				Tmin
Month	N	LN	G	GEV	N	LN	G	GEV	N	LN	G	GEV
Jan.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	-	^* * Significant adherence.	ns	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
Feb.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	-	ns	ns	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
Mar.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	-	ns	ns	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
Apr.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	-	^* * Significant adherence.	ns	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
May	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	-	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	ns	ns	^* * Significant adherence.
June	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	-	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	ns	ns	^* * Significant adherence.
July	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	-	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
Aug.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
Sept.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	ns	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	-
Oct.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	-	ns	ns	ns	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
Nov.	^* * Significant adherence.	ns	ns	-	ns	ns	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
Dec.	ns	ns	ns	^* * Significant adherence.	ns	ns	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
Month	Hmean				Hmax				Hmin
Month	N	LN	G	GEV	N	LN	G	GEV	N	LN	G	GEV
Jan.	ns	ns	ns	ns	ns	ns	ns	ns	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
Feb.	ns	^* * Significant adherence.	^* * Significant adherence.	-	^* * Significant adherence.	ns	^* * Significant adherence.	ns	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
Mar.	ns	ns	ns	-	ns	ns	ns	ns	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
Apr.	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	ns	ns	ns	ns	ns	^* * Significant adherence.	ns	^* * Significant adherence.
May	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	ns	^* * Significant adherence.	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
June	ns	ns	ns	^* * Significant adherence.	ns	ns	ns	^* * Significant adherence.	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
July	ns	ns	ns	^* * Significant adherence.	ns	^* * Significant adherence.	ns	^* * Significant adherence.	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
Aug.	ns	^* * Significant adherence.	ns	^* * Significant adherence.	ns	ns	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
Sept.	ns	^* * Significant adherence.	ns	^* * Significant adherence.	ns	ns	ns	^* * Significant adherence.	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
Oct.	ns	ns	ns	^* * Significant adherence.	ns	ns	ns	ns	ns	^* * Significant adherence.	ns	^* * Significant adherence.
Nov.	ns	ns	ns	^* * Significant adherence.	ns	ns	ns	^* * Significant adherence.	ns	^* * Significant adherence.	^* * Significant adherence.	^* * Significant adherence.
Dec.	ns	ns	ns	^* * Significant adherence.	ns	ns	ns	ns	ns	^* * Significant adherence.	ns	^* * Significant adherence.

Modified Cramér-von Mises statistics-W^*
Month	Tmean				Tmax				Tmin
Month	N	LN	G	GEV	N	LN	G	GEV	N	LN	G	GEV
Jan.	0.22	0.35	0.31	-	0.41	0.67	0.57	0.15	0.04	0.04	0.04	0.17
Feb.	0.15	0.26	0.22	-	0.83	1.21	1.07	0.41	0.06	0.03	0.04	0.04
Mar.	0.14	0.22	0.19	-	0.57	0.79	0.71	0.35	0.06	0.04	0.04	0.10
Apr.	0.07	0.10	0.09	-	0.43	0.68	0.59	0.09	0.10	0.17	0.14	0.19
May	0.08	0.10	0.09	-	0.15	0.25	0.21	0.09	0.41	0.63	0.55	0.39
June	0.11	0.06	0.08	-	0.04	0.03	0.03	0.06	0.21	0.35	0.30	0.09
July	0.13	0.20	0.17	-	0.11	0.19	0.16	0.23	0.19	0.39	0.32	0.12
Aug.	0.05	0.09	0.07	0.03	0.06	0.13	0.10	0.15	0.12	0.28	0.22	0.15
Sept.	0.08	0.14	0.12	0.02	0.16	0.28	0.23	0.16	0.06	0.07	0.06	-
Oct.	0.37	0.53	0.47	-	0.81	1.14	1.02	0.65	0.08	0.14	0.12	0.04
Nov.	0.43	0.61	0.55	-	0.76	1.12	0.99	0.46	0.03	0.06	0.05	0.06
Dec.	0.52	0.76	0.67	0.37	0.88	1.29	1.14	0.39	0.11	0.15	0.13	0.22
Month	Hmean				Hmax				Hmin
Month	N	LN	G	GEV	N	LN	G	GEV	N	LN	G	GEV
Jan.	0.52	0.52	0.39	0.41	0.92	2.91	2.04	1.10	1.16	0.18	0.39	0.06
Feb.	0.62	0.22	0.32	-	0.40	0.46	0.42	0.52	0.81	0.11	0.26	0.03
Mar.	0.77	0.63	0.65	-	1.12	1.13	1.11	1.22	0.49	0.04	0.11	0.04
Apr.	0.65	0.30	0.38	0.24	0.76	0.56	0.61	1.04	1.94	0.30	0.67	0.09
May	0.35	0.12	0.16	0.14	0.56	0.36	0.42	0.39	0.23	0.04	0.04	0.03
June	1.25	0.67	0.84	0.13	0.56	0.33	0.40	0.18	0.41	0.09	0.15	0.10
July	1.11	0.56	0.72	0.17	0.61	0.36	0.44	0.18	0.34	0.05	0.09	0.06
Aug.	0.89	0.47	0.60	0.43	0.97	0.63	0.74	0.20	0.35	0.03	0.07	0.03
Sept.	0.65	0.31	0.41	0.23	1.17	0.80	0.91	0.21	0.76	0.38	0.40	0.39
Oct.	2.95	1.64	2.02	0.09	2.84	2.12	2.35	0.34	0.83	0.33	0.65	0.13
Nov.	0.90	0.44	0.57	0.10	1.11	0.74	0.85	0.31	0.67	0.24	0.27	0.26
Dec.	1.85	0.97	1.22	0.25	1.02	0.75	0.83	0.64	1.50	0.27	0.55	0.05

Modified Anderson-Darling statistics-A^*
Month	Tmean				Tmax				Tmin
Month	N	LN	G	GEV	N	LN	G	GEV	N	LN	G	GEV
Jan.	1.47	2.26	1.98	-	2.65	4.22	3.65	0.94	0.34	0.33	0.31	1.11
Feb.	1.03	1.73	1.47	-	5.11	7.34	6.54	2.44	0.37	0.23	0.26	0.28
Mar.	0.94	1.44	1.25	-	3.57	4.87	4.41	2.24	0.37	0.29	0.29	0.63
Apr.	0.49	0.77	0.66	-	3.09	4.70	4.12	0.79	0.56	0.95	0.79	1.11
May	0.47	0.61	0.55	-	0.93	1.57	1.33	0.60	2.24	3.46	3.02	2.12
June	0.63	0.36	0.44	-	0.30	0.19	0.20	0.33	1.14	2.00	1.67	0.54
July	0.79	1.12	1.00	-	0.75	1.24	1.05	1.56	1.19	2.42	1.95	0.70
Aug.	0.36	0.62	0.51	0.18	0.46	0.98	0.77	1.12	0.84	1.82	1.44	1.08
Sept.	0.51	0.86	0.73	0.19	0.88	1.59	1.32	0.83	0.36	0.50	0.41	-
Oct.	2.56	3.54	3.19	-	5.21	7.19	6.48	4.21	0.46	0.82	0.67	0.24
Nov.	2.83	3.97	3.56	-	5.10	7.28	6.50	2.95	0.23	0.41	0.33	0.45
Dec.	3.17	4.58	4.07	2.22	5.29	7.67	6.83	2.27	0.63	0.86	0.76	1.24
Month	Hmean				Hmax				Hmin
Month	N	LN	G	GEV	N	LN	G	GEV	N	LN	G	GEV
Jan.	3.35	4.93	3.55	3.17	8.68	21.8	16.24	6.48	7.27	1.30	2.63	0.52
Feb.	3.77	1.54	2.08	-	3.35	3.56	3.40	4.30	5.22	0.79	1.78	0.20
Mar.	4.78	3.68	3.88	-	7.34	7.28	7.24	8.16	2.95	0.29	0.68	0.29
Apr.	4.27	2.11	2.61	1.67	5.42	4.33	4.60	6.90	12.66	2.43	4.84	0.97
May	2.91	1.08	1.47	1.00	4.22	3.02	3.37	3.18	1.66	0.33	0.35	0.28
June	7.61	4.24	5.24	1.02	4.38	2.97	3.40	1.90	2.47	0.51	0.83	0.58
July	6.68	3.46	4.41	1.16	4.53	2.94	3.42	1.80	1.94	0.33	0.49	0.38
Aug.	5.24	2.92	3.59	2.73	6.28	4.23	4.86	1.63	2.11	0.28	0.47	0.29
Sept.	3.93	1.98	2.52	1.58	6.96	4.78	5.45	1.45	4.69	2.24	2.44	2.32
Oct.	17.3	9.80	12.0	0.59	15.7	11.68	12.0	2.08	6.09	2.18	4.23	0.89
Nov.	5.15	2.44	3.20	0.57	6.46	4.44	5.05	2.20	4.23	1.57	1.76	1.63
Dec.	10.9	5.84	7.27	1.67	6.93	5.30	5.75	4.61	9.41	1.74	3.55	0.33

\begin{matrix} f (x) = \frac{1}{σ \sqrt{2 π}} \exp [- \frac{1}{2} {(\frac{x - μ}{σ})}^{2}], - \infty < x ⟨ \infty, σ^{2} ⟩ 0, - \infty < μ < \infty; \\ f (x) = \frac{1}{x σ \sqrt{2 π}} \exp [- \frac{1}{2} {(\frac{\log x - μ}{σ})}^{2}], x > 0, σ^{2} > 0, - \infty < μ < \infty; \\ f (x) = \frac{1}{β^{α} Γ (α)} x^{α - 1} \exp (- \frac{x}{β}), x > 0, α > 0, β > 0; \\ f (x) = \frac{1}{σ} {[1 + ξ (\frac{x - μ}{μ})]}^{- (\frac{1 + ξ}{ξ})} \exp {{- [1 + ξ (\frac{x - μ}{σ})]]}^{- (\frac{1}{ξ})}}, \\ - \infty < x < μ - σ / ξ para ξ < 0; μ - σ / ξ < x < \infty para ξ > 0 . \end{matrix}

[1] Corresponding author

Brasil

Brasil

Análise probabilística da vulnerabilidade à estenoespermocarpia por estresse higrotérmico em mangas 'Palmer', por meio de abordagem baseada em cópulas

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