Lake Kasumigaura (year t)					Lake Kasumigaura (year t−1)
Variables	R	R²	p-value	AIC value	Variables	R	R²	p-value	AIC value
C_u,t, l_t	−0.548	0.301	5.50 × 10⁻⁴	503	C_u,t, l_t−₁	−0.516	0.267	1.10 × 10⁻³	517
C_u,t, w_t	−0.579	0.336	1.72 × 10⁻⁴	514	C_u,t, w_t−₁	−0.585	0.342	1.78 × 10⁻⁴	500
Lake Kitaura (year t)					Lake Kitaura (year t−1)
C_v,t, l_t	−0.657	0.431	1.01 × 10⁻⁵	456	C_v,t, l_t−₁	−0.606	0.368	8.89 × 10⁻⁵	447
C_v,t, z_t	−0.503	0.253	1.52 × 10⁻³	466	C_v,t, z_t−₁	−0.582	0.338	2.00 × 10⁻⁴	449
C_v,t, b_t^*	0.707	0.499	2.10 × 10⁻⁶	428	C_v,t, b_t−₁^**	0.661	0.437	2.09 × 10⁻⁵	419