Table 7 Best trivariate fitted copula and goodness test results for Soleghan station.

Periods	Scenarios	# Climate change model	Best fitted copula	RMSE	AIC	NSE	BIC	MAX_L
1980–2012	SSP2-4.5	1	‘HET_C12141920’	0.018	−243.927	0.994	−241.059	123.963
		2	‘HET_C12141920’	0.02	−239.796	0.991	−236.928	121.898
		3	‘HET_C12141920’	0.033	−208.124	0.968	−205.256	106.062
		4	‘HET_AC1920’	0.026	−222.749	0.987	−219.881	113.374
		5	‘SYMMETRIC_F’	0.033	−208.924	0.98	−207.490	105.462
		6	‘HET_AC1920’	0.03	−213.543	0.974	−210.675	108.771
		7	‘HET_C12141920’	0.034	−206.455	0.973	−203.587	105.227
		8	‘ASYMMETRIC_G’	0.033	−208.335	0.982	−205.467	106.167
2040–2070	SSP2-4.5	1	‘ASYMMETRIC_F’	0.027	−219.659	0.988	−216.791	111.829
		2	‘ASYMMETRIC_J’	0.022	−231.732	0.992	−228.864	117.866
		3	‘ASYMMETRIC_F’	0.036	−201.883	0.981	−199.015	102.942
		4	‘HET_AC1920’	0.029	−216.005	0.985	−213.137	110.003
		5	‘HET_AC1920’	0.02	−238.997	0.992	−236.129	121.499
		6	‘SYMMETRIC_G’	0.026	−225.197	0.99	−223.763	113.598
		7	‘HET_AC1920’	0.022	−233.119	0.989	−230.251	118.559
		8	‘ASYMMETRIC_F’	0.026	−222.275	0.989	−219.407	113.138
2070–2100	SSP2-4.5	1	‘SYMMETRIC_G’	0.03	−215.991	0.989	−214.557	108.995
		2	‘ASYMMETRIC_G’	0.02	−237.370	0.994	−234.502	120.685
		3	‘ASYMMETRIC_F’	0.032	−209.467	0.985	−206.599	106.733
		4	‘ASYMMETRIC_F’	0.027	−220.794	0.988	−217.926	112.397
		5	‘HET_AC1920’	0.026	−222.566	0.989	−219.698	113.283
		6	‘ASYMMETRIC_F’	0.02	−239.561	0.995	−236.693	121.78
		7	‘ASYMMETRIC_F’	0.027	−219.904	0.988	−217.036	111.952
		8	‘SYMMETRIC_F’	0.032	−211.025	0.985	−209.591	106.512

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