losordo1994
TRANSCRIPT
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JOURNAL
OF
THE
WORLD AQUACULTURE
SOCIETY
Vol.
25, No.2
June,
1994
An Analysis
of
Biological, Economic, and Engineering Factors
Affecting the Cost of Fish Production in Recirculating
Aquaculture Systems
THOMAS
. U S O R D O
Department of Zoology and Biological & Agricultural E ngineering,
North Carolina State University, Raleigh, North Carolina 27695 USA
PHILIP
W.
WESTERMAN
Department
of
Biological & Agricultural E ngineering,
North Carolina State University, Raleigh, North Carolina 27695 USA
Abstract
Aquaculture production in recirculating systems has been the focus of research and development
efforts for decades. Although considerable resources have been expended on these systems in the
private sector, there is a scarcity of data on the economic or engineering performance of commercial
scale recirculating production systems. This paper presents the results of a computer simulation of
tilapia production in a small recirculating production system. Much of the performance data has
been developed at a demonstration facility at North Carolina State University. Given the assump-
tions of the base case simulation, the cost of producing a kilogram of tilapia in the recirculating
system described is estimated to be 2.79 ( 1.27/lb). The results of a model sensitivity analysis
indicate that while improvements n the performance efficiency of system components did not greatly
affect fish production costs, reductions in feed costs and improvements in the feed conversion ratio
caused the greatest reduction of production cost of all of the operational variables investigated. The
analysis further indicates that the greatest gains to be realized in improving profitability are those
associated with increasing the productive capacity or decreasing the investment cost of a recirculating
fish production system.
Recirculating aquaculture production
systems have stirred a great deal of interest
in the aquaculture community worldwide.
There is little doubt that most fish grown in
ponds, floating net pens, or raceways can be
reared in commercial scale recirculating
systems, given enough resources. Unfortu-
nately, the economic viability of growing
commonly cultured species in recirculating
systems is not as certain. The question of
system economics has not always been ad-
equately addressed prior to the develop-
ment of an aquaculture business based on
recirculating technology. Although there are
numerous corporations and entrepreneurs
selling “package turnkey” systems, there are
relatively few reports of profitable com-
mercial aquaculture recirculating produc-
tion systems in operation (Losordo et al.
1989).’ Currently most commercial recir-
culating production systems in the United
States are small, less than
45,000
kg of pro-
duction per year, providing fresh high qual-
ity product at premium prices to niche mar-
kets. Although there have recently been a
number of large scale efforts in commercial
system development, only two large scale
systems remain operating in the United
States with long term production of whole-
sale quantities of fish.
Given the level of interest and activity in
commercial recirculating production sys-
tems, there is a scarcity of data and system-
Mention
of
a specific product or tradename does
not constitutean endorsement by North Carolina State
University nor imply its approval to the exclusion of
other suitable products.
Copyright by the
World
Aquaculture
Society
1994
193
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LOSORDO AND
WESTERMAN
TABLE.
Simulated change in production cost
of hy-
brid striped
b ss
in a recirculating system due to a
10 change
in
selected input variables.
96
change in
Changed input variable oroduction cost
System capacity
Feed conversion ratio
Feed cost
Labor rate of pay
Mortality rate
Cost o f electricity
Cost o f liquid oxygen
5.0
4.1
2.8
1.8
1.4
1.4
0.5
After Losordo
I99 1.
atic evaluations of the economic aspects of
these systems in the literature. To reduce
the number of future economic failures and
aid in the design and development of suc-
cessful production systems, non-biased and
non-proprietary studies of the biological,
economic and engineering aspects of recir-
culating systems must be completed.
As part of a study of the feasibility of
recirculating aquaculture production sys-
tems, the authors developed a computer
model to simulate the biological, engineer-
ing and economic performance of closed
systems. The preliminary results were pre-
sented in Losordo et al. (1989). The findings
concluded that while it was not economical
to grow catfish in recirculating systems,
striped bass hybrids showed promise. A
sensitivity analysis of the simulation of the
production cost of hybrid striped bass to
changes in selected input costs was reported
in Losordo 199 1). In each simulation, only
one selected input was adjusted by 10%and
the resulting fish production cost was re-
corded. The selected input variables includ-
ed the cost of bulk oxygen, cost of electricity,
cost of feed, cost of labor, production mor-
tality, feed conversion ratio, and system
carrying capacity. Table
1
contains the re-
sults of the 7 simulations.
Interestingly enough, a
1
OYo intensifica-
tion of the production capacity of the sys-
tem (without a corresponding increase in
the fixed investment) produced the largest
decline ( 5 ) in production cost. These re-
sults suggested that future efforts in recir-
culating production system development
should be in the intensification of systems
without making them more expensive.
This paper will investigate this conclu-
sion and describe the results of simulations
of the production of tilapia in a recirculating
system. The computer model was upgraded
to more realistically represent a functioning
recirculating production system and where
possible, the model utilized verified input
data from a recirculating fish production
demonstration system at North Carolina
State University. The sensitivity of produc-
tion costs to changes in the variable and
fixed input costs and the biological and en-
gineering performance of the system are re-
ported.
Computer Simulation Methods
A general dynamic simulation model of
recirculating aquaculture systems was de-
veloped, using a commercially available
modelling language called STELLAB as a
framework in which to determine the en-
gineering, economic and biological perfor-
mance of recirculating fish production sys-
tems. While the model will not be described
in detail in this paper, a description of the
input and output variables and general
model structure follows.
STELLA model overview.
The computer
software package referred to as STELLAB
is a product of High Performance Systems,
Inc. The computer language was developed
for use only on the Apple Macintosh com-
puter. For a description of the programming
language, the reader is referred to Rich-
mond et al. 1987).
The model was originally developed to
simulate the growth and production of hy-
brid striped bass or channel catfish. The
model was expanded for this study to in-
clude the production of tilapia. Many of the
engineering simulation functions were also
expanded and refined for this study. Fish
growth rate algorithms were selected from
the literature as listed in Table 2. To run
the simulation, the user enters the appro-
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FISH PRODUmON COSTS IN RECIRCULATING SYSTEMS
195
TABLE
.
Recirculatingfish production system model
input variables.
Input variable Selection and/or units
Species cultured Hybrid Striped Bass
(Brown
19898)
Catfish (Boyd 1978)
Tilapia (Soderberg
1990)
Continuous or Batch
ode of operation
Cost of fingerlings each
Fingerling length mm
Fingerling weight
g
each
Fish harvest weight kg each
Fish survival
System capacity kg
Nursery decimal fraction
Growout decimal fraction
Production cycle length
Nursery d
Growout d
Feed cost
Fry %/kg
Juvenile feed %/kg
Grower feed S
Finishing feed
%/kg
Fry feed
%
Juvenile feed %
Grower feed %
Finishing feed
%
Feed protein content
Expected feed conversion dimensionless
Electricity costs
ratio
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196 LOSORDO ND WESTERMAN
TABLE. Selected recirculatingjishproduction system
model output variables.
Output variable Selection and/or un it s-
Total production cost
Feed cost
Labor cost
Fingerling cost
Heating costs
Water recirculating power
Water costs
Oxygen cost
Cost
of
borrowed capital
Cost of operating capital
Opportunity cost of equi-
Maintenance cost
Depreciation cost
Fish weight g/fish
System biomass kilograms
Recirculating flow rate Ipm
Make-up water flow rate Ipm
Feed rate kg/d
/kg of fish produced
/kg of fish produced
/kg of fish produced
/kg of fish produced
/kg
of
fish produced
/kg of fish produced
/kg of fish produced
/kg of fish produced
/kg of fish produced
/kg of fish produced
/kg of fish produced
/kg of fish produced
/kg of fish produced
costs
ty capital
and a production cost breakdown for each
input variable such as feed cost or water cost
per kg of fish produced. The output vari-
ables used for the system analysis in this
report are listed in Table
3.
Tilapia Production Simulation
The recirculating production system sim-
ulation model was configured to simulate
the production of tilapia in a small
43,500
kglyr
(96,000
lbs/yr) production system. The
following are details of the production sys-
tem simulated and the simulation model
assumptions.
Production system description. The pro-
duction system was modelled as a contin-
uous production unit consisting of
3
juve-
nile nursery tanks and 8 growout tanks. Each
nursery tank was capable of growing up to
6,560 83
g tilapia from
3
g
(50.8
cm,
2“
long) animals in
90
d. With the harvest of
one nursery tank each month, the
3
nursery
tanks provide enough 83 g tilapia to restock
2
growout tanks per month. Each growout
tank provides for the production of ap-
proximately 3,200 567 g (1.25 lb) tilapia in
approximately 120d. With
8
growout tanks,
2
harvests per month can be scheduled to
TABLE
.
Growout system compon ent cost and depre-
ciation estimates.
Compo-
Cost nent
installed life
System component
0 )
(Yr)
Fiberglass production tank
Floating bead filter
Rotating biological contactor
Aeration or oxygen delivery sys-
Pipes and valves
Pumps (3 each
@
120)
Solenoid valves
&
timers
Heater and controller
Feed delivery system
tem
Total cost
3,800
4 000
4,000
1,500
400
360
1,000
240
1,000
16,300
15
10
1 . 5
15
10
3
5
5
5
yield an overall yearly tilapia production of
slightly over
43,500
kg
(96,000
lb).
Systems design and cost. The cost esti-
mates in this section are derived from the
development of a demonstration “Fish
Barn” and recirculating production systems
at North Carolina State University. The
components described here are, for the most
part, of the same scale and similar to those
currently in use at the North Carolina Fish
Barn project.
The simulated production system is
housed within a
28
m x 11 m
(92’
x
36’)
metal clad, wooden post and beam barn with
minimal insulation and an earthen floor.
Each tank is configured with an individual
water renovation system consisting of an in-
line resistance type electric water heater, a
0.57
m3
(20
ft3) floating bead filter as de-
scribed by Losordo (199 1) and a V4 hp ro-
tating biological contactor (total surface area
=
418
m2) used in series (Fig. 1). Dissolved
oxygen additions to the culture tanks were
provided by either in tank diffised aeration
or whole recycle stream oxygenation with
pure oxygen (depending on the simulation
input selections). Each growout system con-
sists of a
4.25
m diameter,
1.45
m deep
fiberglass tank. Total cost of each growout
tank system with all associated support
equipment installed was modelled to be
16,300. The individual component costs
and estimated useful life are listed in Table
4.
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FISH
PRODUCTION COSTS IN RECIRCULATING SYSTEMS
197
Rotating Biological Contactor
2
(surface area
=
418 m )
d
4.24m
Culhut Tank
23.375
liters
Foam
Fractionator
FIGURE
Typical simulated growout system component layout.
The nursery tank systems were modelled
as 3 m diameter, 1.25
m
deep fiberglass
tanks. Water and wastewater treatment for
all three nursery tanks are provided for by
one bead filter and one RBC as described
above. Total cost of the nursery production
system is $18,490 (Table
5 ) .
A
depreciation rate for each system was
estimated by the “straight line” method as-
suming a salvage value of zero dollars at the
end of the useful component life. The au-
thors chose to assign a salvage value of zero
for each asset due to the specialized (in many
cases custom fabrication) nature and the
limited market for used recirculation sys-
tem components. The yearly rate of depre-
ciation was estimated by calculating the dol-
lar value per year of depreciation for each
component (cost installedlcomponent life),
then summing the yearly depreciated value
for each component and dividing by the to-
tal system cost (Yearly Depreciation Rate
= ((L: (cost installed/component life))/total
system cost)).
Building cost, including water and elec-
trical service installation, was valued at
$129.10 per square meter ($12/f t2) or
$39,744. The total production system
equipment cost was valued at an additional
$148,890 or approximately $3.42 of fixed
investment per kg of annual production ca-
pacity ($1.55/lb). The total investment cost
for the fish production system including the
TABLE
. Nursery system component cost and depre-
ciation estimates.
Com-
Cost ponent
System installed life
component
( 1
(Yr)
Fiberglass tanks
(3
@ 2,000)
Floating bead filter
Rotating biological contactor
Aeration or oxygen delivery sys-
Pipes and valves
Pumps (3 each @ 120)
Solenoid valves
&
timers
Heater and controls
Feed delivery system
tem
Total cost
6,000
4,000
4,000
1,500
400
360
1,000
230
1,000
18,490
15
10
7.5
15
5
3
5
5
5
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FISH
PRODUCTION COSTS IN RECIRCULATING SYSTEMS
199
1 m
FIGURE
. Simulated recirculatingfrsh production system layout,
8
growout tanks and 3 nursery tanks.
lation indicate that under the given condi-
tions, overall fish production cost will be
approximately $2.79/kg ($1.27/lb). Given
the same set of assumptions, except with
pure oxygen as the oxygen source, the cost
of production was estimated to be $2.86/kg
($1.30/lb). Subsequent modelling runs de-
termined that the cost of bulk oxygen would
need todecrease to $0.18/m3 ($0.51/100 ft3)
for the overall fish production cost to equal
that of the simulation of a system with at-
mospheric aeration. The cost of bulk liquid
oxygen in the United States ranges from ap-
proximately $0.09-$0.28/m3 ($0.25- 0.801
100 ft3)depending on the distance from the
source of liquid oxygen and quantity used.
The production costs simulated in the base
case analysis for the system as described are
generally too high to be economically com-
petitive in the wholesale fish fillet market.
Currently, only the local markets for live or
whole fresh tilapia on ice product would
support such production costs. However,
there are production and engineering im-
provements that could be made to improve
the economic viability ofthese systems. The
sensitivity analysis of the modelled system
that follows provides a means for estimating
the impact of changes within the system.
The results of the sensitivity analysis can be
used to assist in identifying areas in need of
further research and development where
improvements to recirculating systems can
have their greatest performance and eco-
nomic impacts.
System Sensitivity Analysis
total of 12 model input variables were
selected for study in the sensitivity analysis
of the simulated system. The 12 variables
are grouped and reported as biological vari-
ables, variable operating cost inputs, engi-
neering performance variables, and system
or fixed cost variables. Twelve modelling
“runs” were executed each time only one
of the variables was changed by 10%. In
most cases the variables were changed to
provide a simulated improvement in the
system performance. Some simulated vari-
able values, such as fish survival, used in
the base case simulation were so good (based
on North Carolina Fish Barn performance
experience) that a 10% change for the better
was judged as not being realistic. In these
cases the variables were changed for the
worse. In all cases, changes in fish produc-
tion costs were monitored. The overall re-
sults of the sensitivityanalysis can
be
viewed
in Table 7.
Biological variables. The model input
variables that directly affect the biological
performance of the cultured product are feed
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200 LOSORDO AND WESTERMAN
(
Production Cost = 2.79 /
kg
( 1.27 / lb)
FIGURE
.
Simulated base case production cost
of
tilapia in a recirculating system.
conversion ratio (FCR) and fish mortality
rate. When the FCR was reduced from 1.3
to
1.17
(a
10%
change) the overall cost of
producing tilapia changed by O.OSS/kg
($0.04/lb), a
3.2%
change. Analysis of the
production cost breakdown yielded inter-
esting results. In initiating he modelling run,
the user specifies the harvest size and total
weight of fish at harvest. When a lower FCR
is specified, the model simulates a more ef-
ficient conversion of feed to fish flesh and
calculates that less feed is used to produce
the same mass of fish. While one could ex-
pect the cost of feed per
kg
of fish to be less,
the simulation results also indicated that
changes in new water use, heating require-
ments, recirculation rate, aeration rate and
electric demand charges also occurred. While
the changes in water recirculation rate, new
water addition rate and aeration rate were
a direct result of less feed being added to
the system in the simulation (e.g., a lower
TAN production rate, lower nitrate nitrogen
production rate, lower oxygen consumption
rate), the change in heating requirement was
caused by the reduced water exchange rate.
The electric demand charge decreased as a
result
of
decreased water pumping and heat-
ing rates.
The mortality rate of fish is considered a
biological variable and was increased for the
sensitivity analysis by 10%. The 1
Ooh
change
in mortality rate yielded only a
2.3%
change,
or a O.O66/kg($0.03/lb) difference in over-
all production cost. The detailed simulation
results showed that although some changes
occurred in almost all production cost cat-
egories, the major changes occurred in feed
cost and fingerling cost per kgof production.
The reader should note that mortality was
simulated as a fractional constant loss over
the entire growth cycle. Losses later in the
growth cycle would have a greater effect on
production costs than losses occumng ear-
lier in the cycle. This type of mortality could
be simulated as a timed pulsed input van-
able change during a simulation run.
Operating cost variables. The modelled
operating cost input variables that were
changed (decreased
10%)
in this sensitivity
analysis were the cost of feed, electricity,
liquid oxygen, and labor. As in the previous
study (Losordo
1991),
the greatest change
in the cost of fish production among these
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FISH PRODUCTION COSTS IN RECIRCULATING SYSTEMS
input variables was caused by a change in
feed cost (2.1%). This may not be totally
unexpected as feed costs are the largest sin-
gle production cost in the base case simu-
lation (Fig.
3).
The sensitivity analysis in-
dicates that changes in the electricity rate,
labor rate of pay, and oxygen cost rate caused
changes in production costs of
1.5%, 1.4%
and 0.1% respectively.
These results, in concert with the FCR
sensitivity results, suggest that significant
production cost savings could be realized if
a feed that produced a better FCR were
available at a reduced cost. Feed manufac-
turers market improved feed conversion ra-
tios as a reason to pay more for specialized
feeds. The sensitivity analysis results
sug-
gest that production cost savings from a
1OYo
reduction in the FCR will in fact outweigh
the increase in production costs due to a
10%
increase in feed cost. In reality, im-
provements in the overall physical and bi-
ological performance of recirculating sys-
tems are realized when using higher quality
feeds. The model, as configured, could not
account for these changes.
It is also interesting to note that while
recirculating systems have been assumed to
be energy intensive, a 10% change in the
electric cost rate effected only a 1.5% change
in the total production cost of fish.
Engineering performance variables. The
modelled engineering performance vari-
ables that were investigated in this study
were recirculating pump efficiency, biolog-
ical filter efficiency, oxygen injection system
transfer efficiency, and aeration system ox-
ygen transfer efficiency. Surprisingly,
10%
changes in these variables produced no more
than a
0.5%
change in total production cost.
It may be hard to justify expending a great
deal of research and development time im-
proving the performance efficiency of each
of these components given these results. The
reader should not misunderstand this state-
ment, however. The authors are suggesting
only that biological filters that “remove”
100% of the ammonia nitrogen per pass, or
pumps that run at 80% efficiency, may not
TABLE Results
of
he simulation sensitivity analysis:
The change in production cost due to a
10
change
in
selected input variables.
% change in
Changed input variable production cost
System capacity
System cost
Feed conver sion ratio
Mortality rate
Feed cost
Cost o f electricity
Labor
rate
of
pay
Aeration efficiency
Pump efficiency
Cost of liquid oxygen
Filter efficiency
Oxygen transfer efficiency
4.1
3.5
3.2
2 .3
2.
1.5
1.4
0.5
0 . 2
0.1
0.1
0.1
be the key to economic viability. On the
other hand, a great deal of development ef-
forts are needed in improving the reliability
of biological filters. Indeed, the unexpected
failure of a biological filter or undetected
failure of an oxygen injection system can do
major damage in a short period of time to
the economic viability of a commercial fish
production system.
System andjixed cost variables. The re-
sults of this sensitivity analysis support the
findings described in Losordo 1 99 1).
Changes in either the system capacity or
overall system cost had greater impacts on
the total production cost than changes in
any other variable. A 10% increase in sys-
tem capacity was simulated without an as-
sociated change in investment. That is to
say that the physical production system was
not altered although the stocking rate (car-
rying capacity) was increased by
10%.
This
change caused a
4.19’0
decrease in the total
production cost. The reduction in the cost
of production due to an increase in carrying
capacity was essentially due to more pro-
duction for the same fixed investment. To
increase capacity, the model simulated pro-
portionally higher rates of use for feed, elec-
tricity, pumping, aeration and operating
capital. The savings come in the form of
more production for the same loan, equity
and labor costs.
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202 LOSORDO
AND WESTERMAN
Similarly,
a
10°h reduction in the overall
investment for the same production capac-
ity yielded a 3.5% change in production cost.
Insight into this finding may be gained by
reviewing the results from the base case pro-
duction analysis in Fig. 3. Over 4 l0h of the
costs associated with the production of the
fish are directly related to the initial in-
vestment cost of the system. In changing
the cost of the system, the calculated costs
of maintenance, depreciation, interest pay-
ments and cost of equity are all directly af-
fected.
Discussion
The simulated production results out-
lined above point out areas in production
technology where improvements can im-
pact the financial viability of recirculating
production systems. The reader should note
that the changes in the model input vari-
ables were accomplished without concur-
rent changes in the costs associated with
making these changes within the system. In
most cases improvements in any variable
will have an associated cost incurred in
making the change. For example, feeds that
provide a higher FCR will most likely cost
more. Similarly pumps that are more effi-
cient will also cost more.
The results of this study point to one area
that may provide substantial production cost
savings. The authors believe that these cost
savings can result from reducing the overall
cost of recirculating production systems
while maintaining component reliability and
longevity. These results can be viewed from
another perspective. While component de-
sign criteria are considered by performance
only, the results of the performance effi-
ciency sensitivity analysis suggest that this
alone is not of primary importance. The
results of this study suggest that perhaps
component performance should be com-
bined with the cost of ownership of these
components (which ultimately make up the
total cost of the system) into a “perfor-
mance/cost” factor. For example, a biolog-
ical filter could be evaluated according
to the total grams of ammonia nitrogen re-
moved per day per cost ofannual ownership
((g
TAN/yr) ($/yr)
= g
TAN/$). The costs
associated with ownership on an annual ba-
sis would include annual interest and equity
cost for the purchase of the component
combined with depreciation and mainte-
nance costs. Given a basic reliability factor,
one should seek to maximize the calculated
value of this variable. For example, the ro-
tating biological filter at the North Carolina
Fish Barn had an average TAN removal
capacity of 129 g/d during a study described
by Westerman et al. (1 993). Given an actual
purchase price of $3,000, and assuming a
component life of
7.5
yr, a maintenance cost
rate
of 5 ,
an interest rate of 13%, equity
interest rate of 9.5 , and a debt to equity
ratio of
1
, the performance/cost factor can
be estimated to be 53
g
TAN/$. The floating
bead filter utilized at the North Carolina
Fish Barn removed an average of
46 g
TAN/d over the same test period. With an
actual purchase price of $3,200, an assumed
component life of 10 yr and similar eco-
nomic cost rate assumptions, the perfor-
mance cost factor would be calculated to be
20
g
TAN/$. Additionally a fluidized bed
sand filter was evaluated over the same pe-
riod during the study (Westerman et al.
1993). The monitoring results indicated that
an average of 37
g
TAN/d was oxidized to
nitrite. Given the actual purchase price of
$1,000, a 10 yr life and similar economic
cost rate assumptions, the performance/cost
factor was calculated to be
5 1 g
TAN/$. If
it is assumed that these components have
similar performance reliabilities, then the
fluidized bed filter or the RBC filter would
be a better value based upon this evaluation
criterion. However, the reader should not
lose sight of the fact that the floating bead
filter performed a suspended solids removal
function as well as nitrification. To “nor-
malize” the results of this analysis, perhaps
the performance/cost factor must account
for all functions to be performed by the fil-
tration system.
While the ultimate criteria for evaluating
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FISH PRODUmION COSTS N RECIRCULATINGSYSTEMS
203
the cost of producing fish in a system is the
cost per unit weight of production, evalu-
ation criteria as outlined above may provide
designers with economic measures to com-
pare individual components and compo-
nent performance. Engineering perfor-
mance and economic performance must be
balanced to provide an optimum produc-
tion system for the specific site, species, and
operating personnel requirements.
Conclusions
The challenges for recirculating systems
designers and engineers are many. Recir-
culating systems and system components
must be designed to be manufactured at a
lower cost or to utilize components that are
currently available to other industries at
lower prices. Where possible the carrying
capacity of a system must be increased with-
out increasing cost or sacrificing system re-
liability.
The following specific conclusions may be
reached as a result of the data presented in
this study:
1) Given the assumptions of the base case
simulation, the cost of producing a kilogram
of tilapia in the small recirculating system
described is estimated to be
$2.79
( 1.271
lb).
2) Changes in the engineering perfor-
mance efficiency of the system components
did not greatly change the total production
cost.
3) Changes in the feed cost had the great-
est impact on production cost of all of the
operational variables investigated.
4) Improvements in the feed conversion
ratio can have a significant impact on pro-
duction costs. However, these savings could
be offset by associated increases in feed
prices.
5)
The greatest gains to be realized in im-
proving profitability are those associated
with increased production capacity or de-
creased system investment cost.
Acknowledgments
The research and demonstration program
in recirculating aquaculture technology at
North Carolina State University is sup-
ported by the Agricultural Research Service
and the Cooperative Extension Service of
the College
of
Agriculture and Life Sciences
of North Carolina State University and the
Energy Division of the North Carolina De-
partment of Commerce.
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