Scientific Reports

Table 1 Comparing bivariate versus univariate joint RPs (for different bivariate hazard scenario, i.e., AND and OR scenario) for station (a) Montreal (b) Quebec City (c) Ottawa (d) Toronto (e) Vancouver (f) Regina (g) Edmonton.

From: Compounded wind gusts and maximum temperature via semiparametric copula in the risk assessments of power blackouts and air conditioning demands for major cities in Canada

(a) MONTREAL
Univariate RPs (years)	Design quantiles (AMWGS (km/hr))	Design quantiles (Corresponding highest MT (Time lag = 0 day) (°C))	OR-JRP (AMWGS-MT (Time lag = 0 day) (Years)	AND-JRP (AMWGS-MT (Time lag = 0 day) (Years)	Design quantiles (Corresponding highest MT (Time lag = ± 1 days) (°C))	OR-JRP (AMWGS-MT (Time lag = ± 1 days) (Years)	AND-JRP (MT-WGS (Time lag = ± 1 days) (Years)	Design quantiles (Corresponding highest MT (Time lag = ± 2 days) (°C))	OR-JRP (AMWGS-MT (Time lag = ± 2 days) (Years)	AND-JRP (AMWGS-MT (Time lag = ± 2 days) (Years)	Design quantiles (Corresponding highest MT (Time lag = ± 3 days) (°C))	OR-JRP (AMWGS-MT (Time lag = ± 3 days) (Years)	AND-JRP (AMWGS-MT (Time lag = ± 3 days) (Years)
2	80.16	27.24	1.44	3.30	28.79	3.57	3.57	29.04	1.43	3.30	29.07	1.37	3.73
5	94.24	30.25	3.14	12.31	31.20	1.51	15.64	31.28	2.91	17.91	31.30	2.89	18.37
10	102.00	31.41	6.03	29.22	32.19	1.21	41.36	32.26	5.40	68.08	32.28	5.51	53.82
20	108.01	32.31	11.84	64.36	32.79	1.10	98.47	32.84	10.39	265.17	32.85	10.77	140.03
30	112.42	32.72	17.65	99.89	33.05	1.06	157.67	33.09	15.39	591.30	33.08	16.03	233.40
50	122.16	33.14	29.27	171.22	33.30	1.04	277.74	33.33	25.39	1630.52	33.31	26.56	426.95
70	124.66	33.37	40.90	242.65	33.44	1.03	398.55	33.46	35.39	3185.73	33.43	37.08	623.79
80	125.17	33.45	46.71	278.39	33.49	1.02	459.07	33.51	40.39	4158.00	33.48	42.34	722.75
90	125.52	33.52	52.52	314.13	33.54	1.02	519.64	33.55	45.39	5257.62	33.52	47.61	821.90
100	125.78	33.58	58.34	349.87	33.57	1.02	580.21	33.59	50.39	6485.08	33.55	52.87	921.23

Univariate RPs (years)	Design quantiles (Annual highest MT (°C))	Design quantiles (Corresponding WGS (Time lag = 0 day) (km/h))	OR-JRP (AHMT-WGS (Time lag = 0 day) (Years)	AND-JRP (AHMT-WGS (Time lag = 0 day) (Years)
2	32.53	40.34	1.44	3.30
5	33.78	57.64	2.91	17.89
10	34.40	68.75	5.40	67.97
20	35.33	79.75	10.39	264.73
30	36.06	82.34	15.39	590.28
50	37.41	85.59	25.39	1627.87
70	37.54	86.51	35.39	3180.66
80	37.56	86.69	40.39	4149.38
90	37.58	86.81	45.39	5249.34
100	37.60	86.90	50.39	6476.68

(b) QUEBEC CITY
Univariate RPs (years)	Design quantiles (AMWGS (km/hr))	Design quantiles (Corresponding highest MT (Time lag = 0day) (°C))	OR-JRP (AMWGS-MT (Time lag = 0 day) (Years)	AND-JRP (AMWGS-MT (Time lag = 0 day) (Years)	Design quantiles (Corresponding highest MT (Time lag = ± 1 days) (°C))	OR-JRP (AMWGS-MT (Time lag = ± 1 days) (Years)	AND-JRP (AMWGS-MT (Time lag = ± 1 days) (Years)	Design quantiles (Corresponding highest MT (Time lag = ± 2 days) (°C))	OR-JRP (AMWGS-MT (Time lag = ± 2 days) (Years)	AND-JRP (AMWGS-MT (Time lag = ± 2 days) (Years)	Design quantiles (Corresponding highest MT (Time lag = ± 3 days) (°C))	OR-JRP (AMWGS-MT (Time lag = ± 3 days) (Years)	AND-JRP (AMWGS-MT (Time lag = ± 3 days) (Years)
2	80.85	26.79	1.46	3.16	27.41	1.42	3.36	27.68	1.41	3.41	28.45	1.42	3.38
5	103.92	30.12	3.10	12.87	30.21	3.14	12.21	30.67	3.10	12.87	30.41	3.13	12.46
10	123.97	31.59	5.71	40.38	31.41	6.05	28.87	32.21	5.95	31.24	32.23	6.01	29.78
20	139.80	32.66	10.78	137.73	32.27	11.83	64.59	33.26	11.63	71.47	32.99	11.75	67.19
30	147.12	33.18	15.81	291.43	32.68	17.60	101.65	33.73	17.28	113.78	33.22	17.47	106.21
50	174.46	33.75	25.84	767.75	33.12	29.09	177.66	34.22	28.54	201.40	33.45	28.87	186.51
70	177.44	34.09	35.85	1469.29	33.39	40.57	255.02	34.50	39.78	291.26	33.57	40.25	268.46
80	178.36	34.22	40.86	1904.40	33.49	46.30	294.02	34.61	45.39	336.71	33.61	45.93	309.85
90	179.10	34.34	45.86	2395.78	33.57	52.03	333.18	34.70	51.00	382.45	33.65	51.61	351.43
100	179.71	34.43	50.86	2943.77	33.65	57.75	372.45	34.77	56.60	428.41	33.69	57.28	393.14

(c) OTTAWA
Univariate RPs (years)	Design quantiles (AMWGS (km/hr))	Design quantiles (Corresponding highest MT (Time lag = 0day) (°C))	OR-JRP (AMWGS-MT (Time lag = 0 day) (Years)	AND-JRP (AMWGS-MT (Time lag = 0 day) (Years)	Design quantiles (Corresponding highest MT (Time lag = ± 1 days) (°C))	OR-JRP (AMWGS-MT (Time lag = ± 1 days) (Years)	AND-JRP (AMWGS-MT (Time lag = ± 1 days) (Years)	Design quantiles (Corresponding highest MT (Time lag = ± 2 days) (°C))	OR-JRP (AMWGS-MT (Time lag = ± 2 days) (Years)	AND-JRP (AMWGS-MT (Time lag = ± 2 days) (Years)	Design quantiles (Corresponding highest MT (Time lag = ± 3 days) (°C))	OR-JRP (AMWGS-MT (Time lag = ± 3 days) (Years)	AND-JRP (AMWGS-MT (Time lag = ± 3 days) (Years)
2	77.05	27.38	1.37	3.70	28.92	1.41	3.44	29.27	1.40	3.51	29.61	1.38	3.66
5	86.32	30.44	2.86	19.80	31.36	3.09	13.18	31.88	3.03	14.23	32.27	2.95	16.53
10	93.85	31.83	5.39	69.63	32.80	5.91	32.38	33.12	5.79	36.46	33.59	5.60	46.51
20	102.53	33.17	10.43	243.42	34.14	11.54	74.89	34.17	11.29	87.63	34.58	10.89	122.55
30	109.51	33.86	15.46	505.28	34.67	17.14	119.90	34.70	16.76	143.19	35.04	16.15	210.85
50	131.00	34.56	25.50	1266.30	35.28	28.31	213.59	35.32	27.65	261.16	35.57	26.63	409.10
70	132.54	34.93	35.54	2317.50	35.68	39.45	310.04	35.71	38.50	384.54	35.89	37.07	626.13
80	133.02	35.05	40.55	2945.51	35.83	45.02	358.94	35.85	43.93	447.59	36.01	42.29	739.75
90	133.40	35.16	45.56	3639.01	35.97	50.58	408.20	35.98	49.34	511.35	36.11	47.50	856.09
100	133.71	35.24	50.58	4395.60	36.08	56.13	457.73	36.09	54.76	575.74	36.20	52.70	974.94

(d) TORONTO
Univariate RPs (years)	Design quantiles (AHMT (°C))	Design quantiles (Corresponding maximum WGS (Time lag = 0day) (km/h))	OR-JRP (AHMT-WGS (Time lag = 0 day) (Years)	AND-JRP (AHMT-WGS (Time lag = 0 day) (Years)	Design quantiles (Corresponding maximum WGS (Time lag = ± 1 days) (km/h))	OR-JRP (AHMT-WGS (Time lag = ± 1 days) (Years)	AND-JRP (AHMT-WGS (Time lag = ± 1 days) (Years)	Design quantiles (Corresponding maximum WGS (Time lag = ± 2 days) (km/h))	OR-JRP (AHMT-WGS (Time lag = ± 2 days) (Years)	AND-JRP (AHMT-WGS (Time lag = ± 2 days) (Years)	Design quantiles (Corresponding maximum WGS (Time lag = ± 3 days) (km/h))	OR-JRP (AHMT-WGS (Time lag = ± 3 days) (Years)	AND-JRP (AHMT-WGS (Time lag = ± 3 days) (Years)
2	32.80	45.87	1.36	3.78	53.79	1.39	3.54	52.43	1.43	3.31	54.54	1.44	3.28
5	34.64	58.33	2.87	19.27	59.63	3.07	13.55	60.61	3.24	10.95	61.09	3.18	11.65
10	35.70	60.59	5.47	58.55	63.48	5.95	31.40	64.79	6.35	23.55	64.87	6.19	26.02
20	36.38	66.58	10.68	157.93	73.89	11.75	67.14	70.68	12.61	48.37	71.29	12.25	54.45
30	36.64	67.20	15.89	267.99	74.15	17.57	102.71	74.64	18.88	73.06	75.33	18.32	82.70
50	36.90	79.92	26.32	499.00	79.92	29.21	173.63	77.66	31.42	122.30	77.98	30.48	139.01
70	37.03	80.00	36.75	735.51	80.01	40.85	244.37	78.87	43.98	171.48	79.06	42.65	195.20
80	37.07	80.03	41.96	854.70	80.03	46.67	279.75	79.26	50.25	196.06	79.40	48.73	223.28
90	37.11	80.05	47.18	974.28	80.05	52.50	315.09	79.57	56.53	220.63	79.67	54.81	251.36
100	37.14	80.07	52.39	1094.09	80.07	58.32	350.41	79.82	62.81	245.21	79.90	60.90	279.42

(e) VANCOUVER
Univariate RPs (years)	Design quantiles (AHMT (°C))	Design quantiles (Corresponding maximum WGS (Time lag = 0 day) (km/h))	OR-JRP (AHMT-WGS (Time lag = 0 day) (Years)	AND-JRP (AHMT-WGS (Time lag = 0 day) (Years)	Design quantiles (Corresponding maximum WGS (Time lag = ± 1 days) (km/h))	OR-JRP (AHMT-WGS (Time lag = ± 1 days) (Years)	AND-JRP (AHMT-WGS (Time lag = ± 1 days) (Years)	Design quantiles (Corresponding maximum WGS (Time lag = ± 2 days) (km/h))	OR-JRP (AHMT-WGS (Time lag = ± 2 days) (Years)	AND-JRP (AHMT-WGS (Time lag = ± 2 days) (Years)	Design quantiles (Corresponding maximum WGS (Time lag = ± 3 days) (km/h))	OR-JRP (AHMT-WGS (Time lag = ± 3 days) (Years)	AND-JRP (AHMT-WGS (Time lag = ± 3 days) (Years)
2	28.81	0.02	1.41	3.44	32.21	1.04	2.01	0.12	1.44	3.29	39.27	1.39	3.59
5	29.99	0.14	2.96	16.20	40.78	1.16	5.09	40.79	2.97	15.94	46.49	2.84	20.79
10	31.43	34.40	5.54	51.31	47.62	1.35	10.49	46.40	5.53	52.51	49.78	5.33	81.02
20	31.90	36.01	10.66	161.05	51.17	1.59	21.73	51.64	10.61	173.02	52.29	10.32	319.83
30	33.30	36.90	15.75	313.52	52.72	1.86	34.12	54.94	15.68	347.54	53.61	15.32	716.44
50	34.38	37.82	25.89	724.01	54.56	2.32	61.21	67.97	25.77	836.89	55.44	25.32	1982.95
70	34.39	38.80	36.01	1255.18	67.87	3.06	96.62	68.02	35.84	1493.21	67.88	35.32	3881.99
80	34.39	39.20	41.05	1560.55	67.92	4.11	129.60	68.03	40.87	1878.29	67.93	40.31	5065.86
90	34.40	39.44	46.10	1891.79	67.95	5.91	183.95	68.04	45.90	2300.44	67.96	45.32	6410.26
100	34.40	39.59	51.13	2246.18	67.98	8.73	271.06	68.05	50.92	2757.10	67.99	50.31	7911.39

(f) REGINA
Univariate RPs (years)	Design quantiles (AMWGS (km/hr)	Design quantiles (Corresponding highest MT (Time lag = 0day) (°C))	OR-JRP (AMWGS-MT (Time lag = 0 day) (Years)	AND-JRP (AMWGS-MT (Time lag = 0 day) (Years)	Design quantiles (Corresponding highest MT (Time lag = ± 1 days) (°C))	OR-JRP (AMWGS-MT (Time lag = ± 1 days) (Years)	AND-JRP (AMWGS-MT (Time lag = ± 1 days) (Years)	Design quantiles (Corresponding highest MT (Time lag = ± 2 days) (°C))	OR-JRP (AMWGS-MT (Time lag = ± 2 days) (Years)	AND-JRP (AMWGS-MT (Time lag = ± 2 days) (Years)	Design quantiles (Corresponding highest MT (Time lag = ± 3 days) (°C))	OR-JRP (AMWGS-MT (Time lag = ± 3 days) (Years)	AND-JRP (AMWGS-MT (Time lag = ± 3 days) (Years)
2	102.87	26.58	1.46	3.16	28.27	1.42	3.38	29.10	1.41	3.45	29.25	1.39	3.53
5	120.25	29.64	3.23	11.09	31.57	3.05	13.77	32.53	2.93	17.15	32.90	2.88	18.76
10	133.11	31.19	6.04	29.14	32.92	5.70	40.77	33.70	5.45	61.04	34.12	5.41	66.30
20	140.10	32.28	11.36	83.29	33.84	10.83	130.08	34.57	10.46	227.35	35.16	10.45	234.36
30	143.24	32.77	16.54	161.20	34.29	15.90	266.09	34.96	15.47	498.23	35.60	15.47	490.51
50	147.05	33.27	26.72	387.82	34.78	25.96	677.78	35.34	25.47	1353.73	36.01	25.51	1243.78
70	149.35	33.55	36.82	708.57	35.08	35.99	1275.51	35.54	35.47	2627.43	36.22	35.54	2295.68
80	150.18	33.65	41.85	904.16	35.20	41.00	1644.20	35.61	40.47	3421.14	36.29	40.55	2928.26
90	150.86	33.74	46.88	1123.34	35.29	46.01	2059.31	35.67	45.47	4319.65	36.36	45.57	3628.45
100	151.44	33.82	51.90	1365.93	35.38	51.01	2520.80	35.72	50.47	5321.98	36.41	50.58	4395.60

Univariate RPs (years)	Design quantiles (AHMT (°C))	Design quantiles (Corresponding maximum WGS (Time lag = 0day) (km/h))	OR-JRP (AHMT-WGS (Time lag = 0 day) (Years)	AND-JRP (AHMT-WGS (Time lag = 0 day) (Years)	Design quantiles (Corresponding maximum WGS (Time lag = ± 1 days) (km/h))	OR-JRP (AHMT-WGS (Time lag = ± 1 days) (Years)	AND-JRP (AHMT-WGS (Time lag = ± 1 days) (Years)	Design quantiles (Corresponding maximum WGS (Time lag = ± 2 days) (km/h))	OR-JRP (AHMT-WGS (Time lag = ± 2 days) (Years)	AND-JRP (AHMT-WGS (Time lag = ± 2 days) (Years)	Design quantiles (Corresponding maximum WGS (Time lag = ± 3 days) (km/h))	OR-JRP (AHMT-WGS (Time lag = ± 3 days) (Years)	AND-JRP (AHMT-WGS (Time lag = ± 3 days) (Years)
2	36.29	50.46	1.43	3.33	60.54	1.42	3.36	65.51	1.41	3.47	70.07	1.37	3.68
5	37.28	60.13	3.00	14.89	77.06	2.91	17.60	78.81	2.94	16.56	82.43	2.85	20.61
10	37.68	75.02	5.62	45.23	87.05	5.41	65.70	87.99	5.52	53.05	89.36	5.35	75.86
20	38.13	82.21	10.79	135.99	93.87	10.41	253.33	93.40	10.63	168.42	93.78	10.37	279.21
30	38.44	90.37	15.93	258.09	96.81	15.41	562.87	95.79	15.71	330.11	97.31	15.39	598.41
50	40.59	92.25	26.13	577.07	100.32	25.41	1547.75	99.90	25.84	768.99	110.84	25.41	1563.48
70	40.60	93.05	36.30	978.86	102.47	35.41	3020.24	102.94	35.94	1340.48	113.65	35.42	2942.91
80	40.60	93.31	41.37	1207.15	103.25	40.41	3938.56	103.87	40.98	1671.12	114.18	40.43	3782.15
90	40.61	93.51	46.44	1452.22	103.91	45.41	4980.08	104.53	46.02	2029.63	114.54	45.43	4721.44
100	40.61	93.67	51.50	1712.62	104.46	50.41	6142.51	105.02	51.05	2414.29	114.80	50.43	5753.74

(g) EDMONTON
Univariate RPs (years)	Design quantiles (AMWGS (km/h))	Design quantiles (Corresponding highest MT (Time lag = 0 day) ((°C)))	OR-JRP (AMWGS-MT (Time lag = 0 day) (Years)	OR-JRP (AMWGS-MT (Time lag = 0 day) (Years)	Design quantiles (Corresponding MT (Time lag = ± 1 days))	OR-JRP (AMWGS-MT (Time lag = ± 1 days) (Years)	AND-JRP (AMWGS-MT (Time lag = ± 1 days) (Years)
2	88.90	25.17	1.39	3.54	26.84	1.40	3.49
5	104.22	28.46	2.89	18.40	29.60	2.90	18.21
10	109.54	29.80	5.40	67.13	30.71	5.43	63.52
20	113.32	30.88	10.41	254.16	31.45	10.47	221.65
30	115.04	31.43	15.41	560.54	31.79	15.51	460.41
50	116.78	32.03	25.41	1531.39	32.17	25.55	1156.47
70	117.72	32.38	35.42	2979.74	32.41	35.59	2121.34
80	118.05	32.51	40.42	3881.99	32.50	40.60	2698.33
90	118.33	32.63	45.42	4904.36	32.57	45.62	3336.67
100	118.56	32.72	50.42	6045.95	32.64	50.63	4035.51

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