Table 1 Parameters of distance from ARs, sampled depth layer, and their interaction term for number of OTUs or each response variable of eDNA quantities estimated from a BIC minimum model based on generalized liner modelling.

	Estimate	SE	Five dominant species	Estimate^b	SE^b	Estimate^c	SE^c
Number of OTUs			Beryx splendens eDNA^a
Intercept	2.86	0.06	Intercept	3.02	0.36	-3.30	1.02
Distance			log(Distance + 0.1)
Depth layer (middle)	−0.24	0.10	Depth layer (middle)	−1.64	0.50
Distance : Depth layer			log(Distance + 0.1) : Depth layer (middle)
Total fish eDNA			Parapristipoma trilineatum eDNA^a
Intercept	5.42	0.41	Intercept	3.01	0.57	−3.30	1.02
log(Distance + 0.1)	−0.30	0.06	log(Distance + 0.1)	−0.23	0.10
Depth layer (middle)	−1.25	0.36	Depth layer (middle)	0.55	0.84
log(Distance + 0.1) : Depth layer (middle)			log(Distance + 0.1) : Depth layer (middle)	−0.41	0.15
Demersal fish eDNA			Scomber spp. eDNA
Intercept	5.08	0.41	Intercept	−1.86	0.41
log(Distance + 0.1)	−0.34	0.06	log(Distance + 0.1)	−0.15	0.07
Depth layer (middle)	−1.17	0.35	Depth layer (middle)	−1.86	0.41
log(Distance + 0.1) : Depth layer (middle)			log(Distance + 0.1) : Depth layer (middle)
Pelagic fish eDNA			Pargus major eDNA^a
Intercept	4.10	0.45	Intercept	3.21	0.47	−6.16	3.60
log(Distance + 0.1)	−0.23	0.06	log(Distance + 0.1)	−0.39	0.08	0.62	0.56
Depth layer (middle)	−1.34	0.39	Depth layer (middle)	−5.19	0.69	3.18	1.24
log(Distance + 0.1) : Depth layer (middle)			log(Distance + 0.1) : Depth layer (middle)	0.46	0.13
			Trachurus japonicus eDNA^a
			Intercept	1.83	0.52	−3.30	1.02
			log(Distance + 0.1)	−0.24	0.09
			Depth layer (middle)	0.14	0.72
			log(Distance + 0.1) : Depth layer (middle)	−0.31	0.13

^aGamma hurdle model was used. ^bAn estimate and error of Gamma component when using Gamma or Gamma hurdle model. ^cAn estimate and error of binomial component when using Gamma hurdle model.

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