WSP02976

• File Number: 8271.300
• Description: Colorado River Basin Salinity Control Program - General Information and Publications-Reports
• Basin: Colorado Mainstem
• Water Division: 5
• Date: 12/1/1979
• Title: An Economic Evaluation of the Salinity Impacts From Energy Development - The Case of the Upper Colorado River Basin
• Water Supply Pro - Doc Type: Report/Study

TCE

8
,
8=1

8
CS RS + E
r r

(5)

N
,
k=l

M
,
r=l

CS QS
k k

s=l

W
N
l\.j
N

However, for energy conversion, a firm
can purchase raw energy material either
within the WRSA (s) or from another WRSA (u).
The purchasing decision will depend upon the
cost of extraction and transportation of that
raw material. Let Tt be the unit cost of
transportation mode t. Transportation cost
within the WRSA is included in the cost of
conversion. The TCE can be rewritten as

8 M 8 N
TeE , E eS RS + E , eS QS
8=1 r=l r r s=1 k=l k k
8 8
, E (es + TS'u )Rs,u for all t
8=1 u=1 r t.r,k r,k
+
S"" (6)

The net return of energy output (TIE) is
the difference between total revenue and
total cost:

WE = T"E - TeE

Adding Equations 3 and 7 yields the
joint net return of agricultural and energy
products which will be maximized. The
objective function Z is written as:

Max Z = TIA + 1TE

Sub~tituting Equations 1, 2, 4, and 6
into the objective function and 'rearranging
the terms, the object ive funct ion can be
written as:

8 H 8 M
Max Z '" E E (ps ,S _ Cs) xS + E E (ps _ CS)RS
8=1 1=1 1 1 1 1 s=1 r=1 r r r
8 N 8 8
+ E E (ps _ eS)Qs _ E E (cs + TS'u )RS'u
8=1 k=l k k k s=l u=1 r t,r,k r,k
S,,"

Basic Constraints

Agricultural production

Land. I'rrigated land is classified
between-cropland (Lc) and pasture land (Lp)'
Acreage of land irrigated for fieldcrops and
pasture production cannot exceed the total
irrigated acreage in each WRSA.

H-1
E x~ 2. L~
1=1

XS < LS
up _ P

Crop rotations. The proper crop rota-
tion is required tor diversification purposes
and to maintain the quality of soil. Frorr
the report of the U. S. Department of Afr i-
culture, Soil Conservation Service (1974)
and the observed production in 1974, the
specific rotational constraints are written
in terms of acreage as:

5 Nurse crop - Alfalfa> 0

5 Oat + 5 Barley - 2 Alfalfa < 0

Alfalfa + Wheat + Barley + Oat - 8 Corn grain
- 8 Corn silage> 0 (9)

Energy production

Energy output flow.
8 N
RS + , , RS'u IS 0
r u=1 k=l r,k r

8=1,

., 8
., M

(10)

r"'1,

(7)

The quantity of the rth raw material
directly sold in the market plus the sum of
the raw material flows to all conversion
processes in the basin must equal total
output (I) of the rth extraction process.

Conversion process efficiency.

8 M
S E E RS'u _ QS = 0 'I
"k "=1 r=l r,k k k=l, 2,
., N
s=1, 2, ., 8 (11)

The efficiency (n) of the kth energy
conversion process multiplied by the sum of
purchased r~w energy material from all WRSAs
used in this process equals the final output
of that process.

Capacity. The quantity of raw material
extracted from the ground must be less than
or equal to the resource availability (Dr)

IS < OS
r - r

(12)

r=1,2,...,M

The final energy output from
conversion process is subject to the
of that processing plant (Bk)
QS < BS
k - k

the kth
capacity

(13)

k=l, 2, . . ., N

Water requirements and availabilities

(8)

Water re uiremeot for a riculture.
</Ii be t e water consumptIve use per
required by crop i. The total water

Let
acre
con-

24