Table 3 Relationships for the first time slice.

From: Crop water productivity assessment and planting structure optimization in typical arid irrigation district using dynamic Bayesian network

Node

Relational formulas

AI_t_4

\({\text{AI}}\_{\text{t}}\_4 = {{0.027}}\)

CY_t_4

\({\text{ CY}}\_{\text{t}}\_4 = {131259.1}\)

ET_t_4

\({\text{ET}}\_{\text{t}}\_4 = {1}{\text{.215}} + {974}{\text{.065*AI}}\_{\text{t}}\_4\)

CP_t_4

\({\text{CP}}\_{\text{t}}\_4 = {33}{\text{.525}} + { 0}{\text{.206 *ET}}\_{\text{t}}\_4\)

EWP_t_4

\({\text{EWP}}\_{\text{t}}\_4 = { - 3}{\text{.627}} + {4}{\text{.654}} \cdot {10}^{{5 }} *{\text{CY}}\_{\text{t}}\_4\)

AGR_t_4

\({\text{AGR}}\_{\text{t}}\_4 = {4}{\text{.190}} \cdot {10}^{{2}} \, + {2}{\text{.158}} \cdot {10}^{{6}} {\text{*CY}}\_{\text{t}}\_4\)

CWR_t_4

\({\text{CWR}}\_{\text{t}}\_4 = { - 5}{\text{.417}} \cdot {10}^{{7}} + {1}{\text{.185}} \cdot {10}^{{9}} {\text{*AGR}}\_{\text{t}}\_4\)

RE_t_4

\({\text{ RE}}\_{\text{t}}\_4 = {1}{\text{.323} - {0}}{\text{.181 *EWP}}\_{\text{t}}\_4\)

CS_t_4

\({\text{CS}}\_{\text{t}}\_4 = {4}{\text{.529107}} \cdot 10^{{3}} + {5}{\text{.912}} \cdot 10^{{5}} *{\text{CWR}}\_{\text{t}}\_4 + {1}{\text{.253}} \cdot 10^{4} {\text{AGR}}\_{\text{t}}\_4\)

CWP_t_4

\({\text{CWP}}\_{\text{t}}\_4 = {0}{\text{.986} - {0}}{\text{.614*RE}}\_{\text{t}}\_4\)

IWU_t_4

\({\text{IWU}}\_{\text{t}}\_4 = {3}{\text{.964}} \cdot {10}^{{8}} { - 2}{\text{.039}} \cdot {10}^{{6}}\, {\text{*CP}}\_{\text{t}}\_4 + {6581}{\text{.14\,*\,CS}}\_{\text{t}}\_4 - 4{.808} \cdot {10}^{{8}} \,{\text{\,*CWP}}\_{\text{t}}\_4\)

PL_t_4

\({\text{PL}}\_{\text{t}}\_4 = {2}{\text{.320}} \cdot {10}^{{4}} + {3}{\text{.647}} \cdot {10}^{{6}} *{\text{IWU}}\_{\text{t}}\_4 + { 2}{\text{.804}} \cdot {10}^{{6}} \,{\text{*CWR}}\_{\text{t}}\_4\)

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