Correction to: How Does the Coupling of Real‑World Policies with Optimization Models Expand the Practicality of Solutions in Reservoir Operation Problems?

1 Correction to: Water Resour Manag (2021) 35:3121 https://doi.org/10.1007/s11269-021-02862-y

The original version of this article unfortunately contained a mistake in Eqs. 1, 5 and 15. The original article has been corrected. The mistakes and corrections are described in the following list.

1. Equation 1,

$${f}_{opt}^{n}\left({S}_{t},{{Q}}_{t}\right)=\frac{max}{{R}_{t}^{*}}\left[{Z}_{t}\left({S}_{t},{{Q}}_{t},{R}_{t}\right)+\gamma {f}_{opt}^{-n}\left({S}_{t+1},{{Q}}_{t}\right)\right]$$

should be

$${f}_{opt}^{n}\left({S}_{t},{{Q}}_{t}\right)=\underset{{R}_{t}^{*}}{\mathit{max}}\left[{Z}_{t}\left({S}_{t},{{Q}}_{t},{R}_{t}\right)+\gamma {f}_{opt}^{n-1}\left({S}_{t+1},{{Q}}_{t}\right)\right]$$

2. Equation 5,

${p}_{\theta }^{*}=\mathrm{arg}\frac{\text{min}}{{p}_{\theta }}{\text{J}}_{{p}_{\theta }}$ should be ${p}_{\theta }^{*}=\mathit{arg}\;\underset{{p}_{\theta }}{\mathit{min}}\;{\text{J}}_{{p}_{\theta }}$  

3. Equation 15,

$${f}_{opt}^{n}\left({S}_{t},{{Q}}_{t}\right)=\frac{max}{{R}_{t}^{*}}\left[{Z}_{t}\left({S}_{t},{{Q}}_{t},{R}_{t}\right)+{\text{E}}_{{{Q}}_{t-1}|{{Q}}_{t}}\left({f}_{opt}^{-n}\left({S}_{t+1},{{Q}}_{t+1}\right)\right)\right]$$

should be

$${f}_{opt}^{n}\left({S}_{t},{{Q}}_{t}\right)=\underset{{R}_{t}^{*}}{\mathit{max}}\left[{Z}_{t}\left({S}_{t},{{Q}}_{t},{R}_{t}\right)+\underset{{{Q}}_{t+1}|{{Q}}_{t}}{E}{f}_{opt}^{n-1}\left({S}_{t+1},{{Q}}_{t+1}\right)\right]$$