2.5. Sources of Data for the Mathematical
Model
57
Table 2.1
List of Constants in the Mathematical Model
Equation in which
Constant
Description
it appears
a
Discount factor
(2.1), (2.2)
Designates whether flow occurs
(2.10), (2.13)
c»
Capital to build reservoir
(2.1), (2.2)
Cm
Maximum flow capacity of river or canal
(2.16)
F it
Minimum industrial and municipal demand
(2.11)
Gu
Minimum irrigation demand
(2.12)
Ju
Amount of imported water
(2.14)
Kn
Capital to build canal
(2.1)
L m
Minimum flow capacity in river or canal
(2.16)
M t
Capital budget limit for year
(2.2)
Mi
Number of links in system
(2.13)
Μ
Maximum number of dams
(2.1)-(2.3), (2.14)
Ν
Initial number of dams
(2.1)-(2.3)
Pu
Minimum energy demand
(2.10)
R it
Minimum acceptable recreational needs
(2.9)
Initial reservoir volume
(2.15)
Sir
Minimum reservoir volume for recreation
(2.8)
T^nax
Length of planning period
(2.1), (2.4), (2.5)
Uat
Net unregulated flow to reservoir
(2.13)
Vi
Maximum capacity of reservoir
(2.17)
similarly lists the independent and dependent variables. In this section we
point out the sources of information that can be used to obtain the values
of the constants and known inputs to the model.
2.5Runoff
(Unregulated
Flows)
Stream gauging in the United States is supervised by one federal agency,
the U.S. Geological Survey (USGS), Department of the Interior. Gauging
work is done under a long-standing 50-50 cooperative arrangement with
other "sponsoring" agencies that pay half the cost of the gauging program.
In Texas, for example, the gauging work is cosponsored by the Texas
Water Development Board.
For convenience, the Geological Survey has divided the United States
into its major river basins such as the Upper Mississippi Basin, the Ohio
River Basin and the St. Lawrence River Basin, For each river basin the
Model
57
Table 2.1
List of Constants in the Mathematical Model
Equation in which
Constant
Description
it appears
a
Discount factor
(2.1), (2.2)
Designates whether flow occurs
(2.10), (2.13)
c»
Capital to build reservoir
(2.1), (2.2)
Cm
Maximum flow capacity of river or canal
(2.16)
F it
Minimum industrial and municipal demand
(2.11)
Gu
Minimum irrigation demand
(2.12)
Ju
Amount of imported water
(2.14)
Kn
Capital to build canal
(2.1)
L m
Minimum flow capacity in river or canal
(2.16)
M t
Capital budget limit for year
(2.2)
Mi
Number of links in system
(2.13)
Μ
Maximum number of dams
(2.1)-(2.3), (2.14)
Ν
Initial number of dams
(2.1)-(2.3)
Pu
Minimum energy demand
(2.10)
R it
Minimum acceptable recreational needs
(2.9)
Initial reservoir volume
(2.15)
Sir
Minimum reservoir volume for recreation
(2.8)
T^nax
Length of planning period
(2.1), (2.4), (2.5)
Uat
Net unregulated flow to reservoir
(2.13)
Vi
Maximum capacity of reservoir
(2.17)
similarly lists the independent and dependent variables. In this section we
point out the sources of information that can be used to obtain the values
of the constants and known inputs to the model.
2.5Runoff
(Unregulated
Flows)
Stream gauging in the United States is supervised by one federal agency,
the U.S. Geological Survey (USGS), Department of the Interior. Gauging
work is done under a long-standing 50-50 cooperative arrangement with
other "sponsoring" agencies that pay half the cost of the gauging program.
In Texas, for example, the gauging work is cosponsored by the Texas
Water Development Board.
For convenience, the Geological Survey has divided the United States
into its major river basins such as the Upper Mississippi Basin, the Ohio
River Basin and the St. Lawrence River Basin, For each river basin the