4.3 Weights
51
1
2
3
4
5
6
7
8
9
0
0.1
0.2
0.3
0.4
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
Digits
Bins
Histogram (Ws)
Bedford's Law (secondary horizontal axis)
Fig. 4.5 Curves of Usefulness Criterion histogram and Benford’s Law
P(g) is the probability of g, which is the leading significant digit (non-zero).
Figure 4.5 shows the two curves: histogram of the Usefulness Criterion and Benford’s
Law. Their differences are negligible, which go from 0.03 to -0.03 with a zero average.
These patterns seem significant particularly parsing the quality and beneficial
weights in relation to Sefficiency and in the context of Benford’s Law. For example,
the streamflow data so important to the water balance and hence the theory presented
in this book should conform to the Benford’s Law and nonconformity could indicate specific issues with the data (Nigrini and Miller 2007). In other words, if the
Usefulness Criterion in a locality diverges from the Benford’s law, it should raise a
flag as to its accuracy, meaning that the beneficial and quality weights should be reexamined. However, the methodology to actually finding those divergences among
many beneficial and quality weights is not clear. Nevertheless and beyond what was
mentioned earlier in Sect. 2.2, these findings are indicative that the Useful Criterion
defined in this book is sound and valid.
4.4 Trade-Offs
Trade-offs between the three Pillars of water management are inevitable particularly under water scarcity and are highly complex to quantify. Sefficiency as a
centrepiece of the theory advanced in this book is about that complexity, meaning
achieving a better trade-off and consequently reducing the undesirables. However,
water resources development of an area has limits, i.e., the trade-offs of the three
Pillars of water management have a reasonable upper bound (Sect. 1.2) in the context
of the performance of systems. This feature can be used to reject the development plans, such as a new industrial plant, park or irrigated farm that reduce the
performance of the system.
51
1
2
3
4
5
6
7
8
9
0
0.1
0.2
0.3
0.4
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
Digits
Bins
Histogram (Ws)
Bedford's Law (secondary horizontal axis)
Fig. 4.5 Curves of Usefulness Criterion histogram and Benford’s Law
P(g) is the probability of g, which is the leading significant digit (non-zero).
Figure 4.5 shows the two curves: histogram of the Usefulness Criterion and Benford’s
Law. Their differences are negligible, which go from 0.03 to -0.03 with a zero average.
These patterns seem significant particularly parsing the quality and beneficial
weights in relation to Sefficiency and in the context of Benford’s Law. For example,
the streamflow data so important to the water balance and hence the theory presented
in this book should conform to the Benford’s Law and nonconformity could indicate specific issues with the data (Nigrini and Miller 2007). In other words, if the
Usefulness Criterion in a locality diverges from the Benford’s law, it should raise a
flag as to its accuracy, meaning that the beneficial and quality weights should be reexamined. However, the methodology to actually finding those divergences among
many beneficial and quality weights is not clear. Nevertheless and beyond what was
mentioned earlier in Sect. 2.2, these findings are indicative that the Useful Criterion
defined in this book is sound and valid.
4.4 Trade-Offs
Trade-offs between the three Pillars of water management are inevitable particularly under water scarcity and are highly complex to quantify. Sefficiency as a
centrepiece of the theory advanced in this book is about that complexity, meaning
achieving a better trade-off and consequently reducing the undesirables. However,
water resources development of an area has limits, i.e., the trade-offs of the three
Pillars of water management have a reasonable upper bound (Sect. 1.2) in the context
of the performance of systems. This feature can be used to reject the development plans, such as a new industrial plant, park or irrigated farm that reduce the
performance of the system.