56
4 Sefficiency (Sustainable Efficiency)
combination of the three variables), but rather how to detect patterns and tradeoffs. Furthermore, the figures show the domain (space or hyperspace) of Eq. (4.15),
meaning that whatever is mentioned below can be proven by this equation having in
mind that C1 + R1 = 1. In this context, let us see a non-exhaustive list of the patterns
and trade-offs inherent in the figures, which can help water managers discussing their
own conclusions for their cases.
• Because C1 + R1 = 1, specifying C1 or R1 will automatically fix the other, which
produces equal graphs. For example, the graph for C1 = 0.3 in Fig. 4.6 is the same
as the one for R1 = 0.7 of Fig. 4.7.
• For Figs. 4.6, 4.7, 4.8 and 4.9, the contour lines are linear and for any graph the
Sefficiency increases as WR1 and/or WC1 increases.
• SE sometimes shows high variation or gradient. For example, in Fig. 4.9c, as cSE
increases, the contours get closer to each other.
• Various figures mirror each other. For example, Figs. 4.11 and 4.13 are mirrors of
Figs. 4.10 and 4.12, respectively, giving equal SE for the complimentary C1 and
R1 graphs. For example, iSE = 64%, for C1 = 0.8, WR1 = 0.4 in Fig. 4.10c, and
Fig. 4.8 Contour lines of WR1-WC1-cSE trade-offs and patterns along four C1 values
4 Sefficiency (Sustainable Efficiency)
combination of the three variables), but rather how to detect patterns and tradeoffs. Furthermore, the figures show the domain (space or hyperspace) of Eq. (4.15),
meaning that whatever is mentioned below can be proven by this equation having in
mind that C1 + R1 = 1. In this context, let us see a non-exhaustive list of the patterns
and trade-offs inherent in the figures, which can help water managers discussing their
own conclusions for their cases.
• Because C1 + R1 = 1, specifying C1 or R1 will automatically fix the other, which
produces equal graphs. For example, the graph for C1 = 0.3 in Fig. 4.6 is the same
as the one for R1 = 0.7 of Fig. 4.7.
• For Figs. 4.6, 4.7, 4.8 and 4.9, the contour lines are linear and for any graph the
Sefficiency increases as WR1 and/or WC1 increases.
• SE sometimes shows high variation or gradient. For example, in Fig. 4.9c, as cSE
increases, the contours get closer to each other.
• Various figures mirror each other. For example, Figs. 4.11 and 4.13 are mirrors of
Figs. 4.10 and 4.12, respectively, giving equal SE for the complimentary C1 and
R1 graphs. For example, iSE = 64%, for C1 = 0.8, WR1 = 0.4 in Fig. 4.10c, and
Fig. 4.8 Contour lines of WR1-WC1-cSE trade-offs and patterns along four C1 values
