Skip to main content

Advertisement

Table 7 Parameters of linear regression (minimal adequate model according to Bayesian information criterion [41]) between modeled reservoir features and external predictor variables

From: Managing climate change in drinking water reservoirs: potentials and limitations of dynamic withdrawal strategies

Term (predictor variables and interaction)Characteristic features (response variables)
Int. heat energyTemp. 3 mTemp. 25 mBegin strat.End strat.Ice-off
Intercept (\(\beta _{0}\))1.068.8912−41345220
Predictor variables (\(\beta _{i}\))
 AT_sum−0.007120.331− 0.1538.135.17
 AT_win0.009730.148− 0.0735− 2.282.31− 20.8
 Qout0.0007750.0151−0.001180.0544
 Qrw0.00691− 0.06010.1661.780.51
 V− 0.00637− 0.00243− 0.1330.0269− 0.000614− 2.96
 Wind− 0.0463− 0.9361.23−15.6
Reservoir (\(\varvec{\beta _{r}}\))
 R.LB− 0.4280.0301− 4.3485.9−103− 168
 R.SB− 0.2732.56− 2.93− 18.236.9− 133
 Strategy (\(\varvec{\beta _{s}}\))
 S.dyn2− 0.0043− 0.154− 0.151− 0.646
 S.high− 0.00395− 0.0884− 0.32711.8
 S.low0.007050.01420.223− 0.454
Interaction reservoir (\(\varvec{\beta _{i:r}}\))
 AT_sum:R.LB− 0.295
 AT_sum:R.SB− 0.204
 AT_win:R.LB0.2619.79
 AT_win:R.SB0.1589.41
 Qout:R.LB0.001460.0461− 0.7980.277
 Qout:R.SB0.0005830.0154− 0.358− 0.572
 Qrw:R.LB0.01170.341− 0.0851− 8.466.2
 Qrw:R.SB− 0.005880.08− 0.135− 1.49−1.53
 V:R.LB0.002331.65.43
 V:R.SB− 0.08221.160.359
 wind:R.LB− 1.1−11.7
 wind:R.SB21.9−19.1
Interaction strategy (\(\varvec{\beta _{i:s}}\))
 Qout:S.dyn2− 0.000358− 0.00712
 Qout:S.high− 0.000559− 0.00986
 Qout:S.low− 0.000112− 0.00274
 Qrw:S.dyn20.465
 Qrw:S.high− 1.26
 Qrw:S.low− 0.761
 V:S.dyn2− 0.17
 V:S.high0.234
 V:S.low0.265
Model quality
 \(\hbox {R}^{2}\) full model0.9270.7380.6930.6030.850.657
 \(\hbox {R}^{2}\)0.920.7060.6260.5740.8350.622
 BIC full model− 732298416135414621780
 BIC− 866157307118813601604
  1. See Tables 3 and 4 for explanation of features and predictor variables. Dashes (-) indicate that the respective term was omitted from the model for the particular response variable and colons (e.g., AT_sum:R.SB) indicate interaction terms. The full linear model is provided in Additional file 1: Table S1. The values provided are the corresponding slopes and intercepts of the linear models described in Eq. 3, if the values are depending on the reservoir or used strategy the default values (\(\beta _0\), and \(\beta _i\)) correspond to reservoir ES and strategy dyn1