a qualitative ecological model to support mariculture pond water quality management
TRANSCRIPT
CABIOS Vol. 11 no. 6 1995Pages 595-602
A qualitative ecological model to supportmariculture pond water quality management
D.J.H.Brown
Abstract
A qualitative model of the ecology of a mariculture pond isdescribed. The model represents ecological relationships inthe form of a network of tableaux of inference rules whichare scanned by a deductive reasoning mechanism to computethe values of pond water quality indicators, make forecastsand determine appropriate corrective and/or preventativemaintenance actions.
Introduction
Artificial environments such as mariculture ponds provideuseful mesocosms within which to explore ecologicaltheories and models. The survival and growth of theorganisms being cultured depends upon the physical andchemical characteristics of the pond (Piedahitra, 1988),which may collectively be termed the 'pond water quality'.
A number of quantitative sumulation models ofaquaculture ponds have been developed which focus onmass and/or energy balances. According to Piedahitra(1986), 'these models are site-specific and of rather limitedgeneral use'. A qualitative modelling approach may besuitable for modelling water quality determinants for thefollowing reasons:
• The principles of quality control (Ishikawa, 1985)involve assigning qualitative values to the quantitativedata that characterize a situation (such as 'withincontrol limits', 'high', 'increasing', etc.) and reasoningabout the situation in terms of the qualified data todetermine maintenance actions that would preventadverse conditions persisting.
• Instrumentation of the pond is limited because ofcost/benefit considerations and many importantobservations (such as the density of the phyto-plankton bloom and the colour of the water) arereadily made in qualitative terms by a mariculturalist.
Representation of causal relationships
The qualitative model described here takes the form of aset of parameters and a network of causal relationshipsbetween them, an overview of which is shown in Figure 1.
College of Computer Studies, De La Salle University. Manila, Philippines
The model reflects practices at the Mariculture Researchand Training Centre at the University of CentralQueensland, Australia for the cultivation of Penaeusmonodon (Davis, 1992). The parameters of the model arewater quality indicators and control action recommenda-tions. Each node of the network is a computationalrepresentation of a causal relationship. For example, thenode salinity.tx computes values of the indicator 'forecastsalinity' and the recommendation 'water exchange' fromthe values of'salinity' and 'salinity trend'.
A common way of representing causal relationships incomputational models is as a set of inference rules. Themodel described here is implemented in Tableaux (Brown,1988), a logic representation scheme similar to decisiontables, in which inference rules that have commonparameters may be grouped together. {Tableaux doesnot distinguish between parameters that denote physicalproperties of a system being modelled and parameters thatdenote control actions.) Parameter values in Tableauxmay be quantitative or qualitative. A qualitative value is aset of quality classes. [Qualitative values in Tableaux arenon-deterministic. A value such as {'low, normal'}signifies a value that is 'low' or 'normal' or both (qualityclasses are not necessarily disjoint).] A Tableaux ruleantecedent is a logical conjunction of criteria. A criterionis a set of quality classes. A parameter matches a criterionif its value has a non-null intersection with the criterion. Ifthe antecedent of a rule is matched, the inferences of itsconsequent are made. [Making an inference involvessupplementing (but not replacing) the designated para-meter's value with the value specified in the ruleconsequent.]
The Tableaux Matcher (Orenstein, 1988) makes infer-ences by applying the rules in a tableau. Values ofantecedent parameters are obtained by 'backward chain-ing' (Hayes-Roth et al., 1983), which involves tracing backalong the network of causal relationships in the networkto perform computations. A simulation run of the model isperformed by applying the Matcher to the ultimate link inits causal chain, the tableau growth.tx (Figure 2), whichcomputes the value of 'forecast growth rate' (unlesspreventative maintenance action is taken) from the valuesof'forecast temperature', 'forecast pH", 'forecast oxygena-tion', 'forecast salinity' and 'prawn health'. Temperature
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penetration
algal bloom^ ^ growth
phottayiLtz
zooplanktongrowth
pbytcaus.tx
futureoxygenation
femlner
stocking rate
feed tray appetite / futureconsumption I ^ / temperature
ammonia production
average temperature
ammooia.tx
temperature \ pH trendtempenLtx ^ — trend
salinitytalinity ** wcatbcr.txtrend
lime
ndinity.bt sunshine forecast \
pH.U
future growthand lurvival
rainfall forecast
future pH level
Fig. 1. Structure of the model.
and salinity, while causing independent responses, arenoted by Venkataramaih et al. (1972) to have combinedeffects on prawn growth and survival rates. At normaltemperatures, growth and survival are consistent acrosswide salinity ranges (rule 1). Similarly, they are alsoconsistent over a wide temperature range in media of lowsalinity (rule 2). Abnormal pH and lack of oxygenationhave deleterious effects (rules 4 and 5). Preventativemaintenance action recommendations to forestall adverseconditions are made in the course of computing the valuesof the forecasts, as will be seen in the next section.
On the display, the horizontal gap separates antecen-dent parameters from consequent parameters. A nullcriterion (displayed as a blank cell) is satisfied by any
value. A null inference (also displayed as a blank cell)means nothing is inferred. The tilde (~) denotes logicalnegation. For example, Rule 3 may be read as:
If 'forecast temperature' is not 'normal' and 'forecastsalinity' is 'high'Then 'forecast growth rate' is 'below target'
The tableau is displayed in 'compact' format, whereinidentical criteria in adjacent rules are not replicated on thedisplay; for example, rules 1 and 2 each have the criterion:'forecast oxygenation' is not 'low [Rule names ('rule 1','rule 2', etc.) are for identification purposes only, althoughdisplaying them in different orders can reveal differentgroupings to the eye.]
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file £dit Options Utility Check Inference
forecast_temaerature
forecast«*|]nifu
forecast pH
forecast
prawn health
orecast growthrate
Rule!
normal
Rule 2
low
normal
~low
good
on target
Rule 3
"normal
high
Rule 4 Rule 5
low
'normal
below target
Fig. 2. growth.tx.
Case study
The use of the model to determine recommendedpreventative maintenance actions is illustrated in thecontext of a case study, for which values of observationsare given in Table 1. The scenario is a situation that is nottoo serious at the moment, but conditions are such that itcould become so unless preventative maintenance action istaken.
Dissolved oxygen is generally accepted to be the mostimportant factor limiting aquaculture production inponds (Boyd, 1982). The major sources of dissolvedoxygen in the pond water are photosynthetic processesand diffusion from the atmosphere. Figure 3 displays thetableau oxysol.tx which contains rules that determines thevalue of 'forecast oxygenation' and infers appropriatepreventative maintenance actions. For example, a trendtoward a potential oxygenation crash prompts a recom-mendation to take emergency action (rules 1, 2); a
Table I. Observed values in water quality indicators
Parameter Value
Time of dayPrawn healthDissolved oxygenWater temperatureSalinitypHSecchi disc depthRecent change in secchi depthAlgal bloomColour of waterLablab depth"Forecast sunshineForecast rainfallWater exchange rateFeed tray feed consumption rateStocking densityPhase of the moon
dawngood2.9 p.p.m27°C28p.pt.923 cmnonethinbrownlittlehighnoneusuallowlownew
File Edit Options Utility Check Inference
Rule 1
Rule?
Rule 3
Rule *
Rule 7
RuleS
Rule 6
oxygentrend
decreasing,steady
decreasing
Increasing
steady
decreasing
increasing
oxygenation
crash
low
crash
low
ok
low
forecastoxygenation
crash
low
ok
low
ok
waterexchange
SOX
33%
33*
aeration
increase
Increase
•EL
Fig. 3. oxysol.tx.
predicted less serious deficiency prompts moderateremedial action (rules 4 and 5).
The value of the parameter 'oxygenation' is computedby oxylevel.tx (Figure 4). Dissolved oxygen follows adiurnal cycle; it is consumed at a fairly even rate byrespiration processes, but increases during daylight hoursfrom photosynthesis by the phytoplankton bloom. 'Low'and 'crash' oxygenation levels at dusk cannot bereplenished overnight with consequent health risks to theprawns, thereby necessitating remedial action (rules 3, 4and 5) or emergency action (rules 1 and 2), depending onthe seriousness of the situation. The model assumes that10% water exchanges are made continuously, followingpractices at the University of Central QueenslandMariculture Research and Training Centre farm (Davis,1992), with larger volume exchanges being made wheneverexceptional circumstances arise.
In the scenario, 'dissolved oxygen' (2.9 p.p.m.) isclassified by oxylevel.tx as 'low'. This, together with thevalue 'dawn' of the parameter 'time of day', satisfies theantecedent of rule 2, which assigns the value 'ok' to'oxygenation'. The tableau oxygen.tx (Figure 5) maps'oxygen production' and 'oxygen demand' onto 'oxygentrend'. In the scenario (as will be seen later) the Matcherestablishes 'oxygen production' is 'low' and 'oxygen
file Edit Options Utility Check Inference
° Lablab is a Filipino term for the black sludge at the bottom of pondscomposed of decaying organic matter.
dissolvedoxygen
time of day
oxygenation
exchange
aeration
food supply
Rule 1
<=
dawn
low
33X
Increase
Rule 4
dusk
crash
SOX
emergency
reduce
RuleS
>2«<S
lOW
3 3 *
ncrease
Rule 2
dawn
RuleS
>=5
ok
••LL _LtL
Fig. 4. oxylevel.tx.
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File gdlt Qptlons Utility Check Inference
Rule 1
Rule 2
Rule 4
Rule]
oxygenproduction
low
high
oxygendemand
low
high
low
oxygen trend
steady
decteasing
steady
Increasing
•enFig. 5. oxygen.tx.
demand' is 'high'. These values match rule 1 of oxygen.tx,which infers that 'oxygen trend' is 'decreasing'. This value,together with the inference 'oxygenation' is 'ok' drawn byoxylevel.tx, matches rule 2 of oxysol.tx, which infers that'future oxygenation' is 'low' and (consequently) that theactions 'water exchange rate' is '33%' and 'aeration' is'increase' are recommended.
Oxygen production
Variation in the production of dissolved oxygen derivesprincipally from variation in photosynthetic activity,which is a function of the density of the phytoplanktonbloom and its growth rate (Romaire el al., 1978), asmodelled by the rules of the tableau photosyn.tx (Figure6). Controlling the bloom is very difficult (Goldman andRyther, 1976; Boyd, 1979), but it is necessary asphytoplankton and paniculate organic matter dynamicsare the principal determinants of conditions in the pond(Piedrahita, 1986).
The 'algal bloom growth rate' is computed by the rulesin the tableau phytcaus.tx (Figure 7). Light is an importantelement needed for phytoplankton (algal bloom) growth;lack of sufficient sunlight due to consecutive rainy orcloudy days can result in reduced growth (rule 1).However, with a low algal biomass, irradiance is unlikelyto limit algal growth even on a dull day (rule 12). In fact,
phote«yej.txrFile Edit Qptions Utility Qheck Inference
Rule]
Rule 4
Rule 1
algal bloomgrowth
low
normal
algal bloom
thin
dense
oxygenproduction
low
high
• • £ ' • * - * •
File Edit SJlilitV Check Interencr
Rulel
Rule 11
Rule 4
RuleS
RuleS
Rule 2
Rule 12
lightpenetration
low
high
low
"high
zooplanktongrowth
high
T.lgh
waterexchange rate
high
low
"high
algal bloom
dense
thin
thin
• I f al bloomgrowth
low
normal
Fig. 7. phytcaus.tx.
the reverse may be true; under hot conditions in brightsunshine, algal growth may be inhibited (photo inhibition)in low turbidity cultures (rule 11). Phytoplankton popula-tions can decrease as a result of an increase in the rate ofzooplankton growth as zooplankton feed on bacteria andminor phytoplankton (Piedrahita, 1986). A large zoo-plankton population can reduce phytoplankton popula-tions because of nutrient limitation on one hand andzooplankton predation (grazing pressure) on the other(rule 4). Fertilizer application has been shown to increasethe chlorophyll levels in fresh water ponds (Boyd, 1973;Rubright et al., 1981).
With proper water exchange management, algae can bemaintained in their growth phase; this is important as fast-growing algal productions are less prone to algal die-offs(Laws and Malecha, 1981; Smith, 1987). Ignoring for themoment the grazing pressure, the pond behaves as acontinuous culture where the water exchange ratecorresponds to the dilution rate. If the dilution rateexceeds the maximum growth rate, the culture will bewashed out (rule 5). At just below the critical dilution ratethe culture will maintain itself with the cells growing at
File Edit Qptions Utility Check Inference
secchi depth
forecastsunshine
lightpenetration
turbidity
Rulel Rule? Rule 3
<n
high
high
low
low
normal
normal
low
Rule 4
>=23
low
high
Fig. 6. photosyn.lx. Fig. 8. lightpen.tx.
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ft MUMElle Edit Options Utility
algal bloom
unconsumedfeed
excreta
colour ofwater
turbidity
oxygendemand
lablab growth
zooplanktongrowthwater
exchange
Rulei
Check Inferrncc
Hule2
high
Rule 3
thin
RuleS
high
BBHRule 4
denBe
•high
low
milky white 'milky whHe
high
high
high
33X
• n •• • • —
low
normal
steady
•aM&i
I*
ft.
-
File Edit Options Utility Check Inference
Fig. 9. decay tx.
their maximum growth rate but the biomass will be low(rule 2). As the dilution rate is reduced further, thebiomass will build up but the growth rate will fall asaverage light levels and nutrient availability per cell arereduced (rule 6).
Light penetration into the pond is judged by lightpen.tx(Figure 8) to be inversely proportional to the secchi depth(Davis, 1992). As the model endeavours to predict futureconditions in the pond, the forecast degree of sunshine isused to anticipate future photosynthetic activity based onthe current state of the phytoplankton bloom and itsinferred growth rate.
In the scenario, 'secchi depth' is 23 cm and 'forecastsunshine' is 'high'. Consequently, rule 4 of lightpen.txinfers 'light penetration' is 'low' and 'turbidity' is 'high'.As will be seen later, the Matcher also establishes'zooplankton growth' is 'high', from which rule 4 infers'algal bloom growth rate' is 'low'. Consequently theMatcher infers 'algal bloom growth rate' is 'low'. Becauseof this, and the observation 'algal bloom' is 'thin',photosyn.tx infers 'oxygen production' is 'low'.
Oxygen demand
The tableau decay.tx (Figure 9) infers the oxygen demandin the pond, which is roughly proportional to the lablabgrowth rate (Asian Shrimp News, 1991). (Prawn respira-
Rule 1
Rule?
Rule 3
Rule 1
RuleS
leed trayconsumption
high
normal
low
appetHe
normal
low
i^. II teed rateprawn heal thJ l d J l | s | n l < ! n t
good
poor
increase
ok
reduce
stop
unconsumedfeed
low
ok
high
Fig. 11. Iixd.lv
tion also affects the oxygen demand. This could bereflected by including, for example, stocking densitycriteria in the antecedents of rules in decay.tx.) Highamounts of unconsumed feed and/or excreta contribute tolablab growth (rules 1 and 2). When the water lacks adense phytoplankton bloom and is sufficiently clear toallow sunlight to reach the pond bottom, benthic algaegrow rapidly, stimulating lablab growth (rule 3).
Phytoplankton mortality is usually proportional to thelevel of the phytoplankton bloom, but mass death(evidenced by a milky white colour to the water) causesabnormally high lablab growth (rule 5). Losordo (1980)reports that flushing is the most widely used tactic fortreating sudden mass algal mortality in aquacultureponds, but Busch and Flood (1979) found that flushingdid not prove to be an effective preventative measure.Zooplankton growth is stimulated by an increase inlablab. as the zooplankton feed on its bacterial biomass(rules 1, 2, 3 and 5).
The level of excreta is inferred by extre.tx (Figure 10).High temperatures, feeding rates and stocking densitiestend to increase stress or activity levels in prawns whichlead to high rates of waste excretion (rules 1, 2, 3).
Feed rates are normally determined by reference tostandard estimates of survival. The tableau feed.tx (Figure11) determines whether adjustment to the feeding rate isnecessary and infers the rate of excreta required byexcre.tx. If the consumption rate is higher (lower) thanexpected, it can be assumed that the feed rate is too low(too high). (A common practice in Asian mariculturefarms is to put a proportion of the total feed into feeding
Fjle Ldil Options Utility Check Inference
Rule 1
Rule 2
Rule 3
Rule *
forecasttemperature
high
ttigh
unconsumedfeed
high
Tligh
slockingdensity
l o w
high
-high
excreta
high
normal
Fig. 10. excre.tx.
File Edit Options Utility Check Inference
forecasttemperaturephase of the
moon
Rule 1
'normal
Rule? Rule 4
new, tull
prawn health poor
Rule 3
normnf
quarter.half
appetite
Fig. 12. appeti te . t \ .
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llo £dh Options Utility
RulcS
Role 9
Flu I t 4
Rale 6
Rutc7
Rute2
Rate 1
Rule 3
RuJcS
ibecfc Inference • • • £temperature
<28
>-2S* <-32
>32
temperaturetrcod
steady
decreasing
Increasing
steady
decreasing
Increasing
tleady
decreasing
forecasttemperature
low
nonul
low
high
normal
water depth
Increase
3
•LJ L»*
Rg. 13. temperat.tx
trays, whereupon consumption can be checked.) Low feedtray consumption rates may also indicate stress or diseasein the prawns (Davis, 1992). Checks of prawn health,including examination of stomach contents, may benecessary (healthy, well-fed prawns always have fullstomachs). If the prawns appear to be stressed or diseased,feeding and fertilization should be postponed until thesituation is remedied. The value of "appetite' is estimatedby appetite.tx (Figure 12). Appetites are reduced inabnormal temperatures and also during moulting, whichoccurs during new and full moons.
In the scenario, the Matcher establishes "forecasttemperature' is 'normal' (see below), whence it infers'appetite' is 'low' because "phase of the moon' is "new'.This, plus the observations that 'feed tray consumptionrate' is 'low' and 'prawn health' is 'good', match rules 3and 4 of feed.tx, yielding the inferences: 'unconsumedfeed' is 'high' and 'feed rate' is "too high'. To determine thevalue of the parameter 'excreta' of decay.tx. the Matcherexamines the tableau excre.tx (Figure 11). The inference'unconsumed feed' is 'high' drawn by feed.tx is counter-
•a
=llc Edit Option! JJtfirty
RsteS
Rule 3
R.k4
Rale 5
Rale 2
Rule 1
Rute7
R a l e l
forecastratnrafl
heavy
light
none
Hfhtnonc
heavy
£heck Infer
stmsJrfat
normal
"low
bkjb
low
race
watsrBxcfaanM rate
hhjk
normal
low
~M|h
MMhsmperstura
treaJ
steady
Increasing
decreasing
•HEssPntty trend
steady
Increasing
decreatJag
• L l *
pie Edit Option! Utility Check
Rale 6
Rule 7
RuleS
Rote 1
Rule 3
Rule 4
Rttte2
Role 5
RoleB
inanity
>30
>= 20 t <-30
>30
aafinNy trend
decreasing
•ready
Increasing
decreasing
steady
increasing
decreasing
steady
Increasing
forecastfalln.Hu
normal
Ugh
very high
very low
low
norm si
low
Dormal
high
water
33X
33*
33%
•JJ=
Fig. 14. weather tx.
Fig. 15. salinity.tx
balanced by 'stocking density' is 'low' and the inferencedrawn by temperat.tx that 'future temperature' is Mow', sorule 4 of excre.tx matches, which infers 'excreta' is'normal'. This notwithstanding, the values 'unconsumedfeed' is 'high', 'algal bloom' is 'thin' and 'colour of water'is 'brown' match rules 1 and 3 of decay.tx, from which it isinferred that 'oxygen demand' is 'high', "lablab growth' is'high' and 'zooplankton growth' is 'high'.
Forecasting temperature and salinity
The value of 'forecast temperature' is obtained fromtemperat.tx (Figure 13), which classifies the observed'temperature' of 27°C as 'low' in accordance with theobservation of Tseng (1988) that optimal growth requirestemperatures to be maintained in the range 28-32°C.
The value of 'temperature trend' is computed byweather.tx (Figure 14), which also draws inferencesregarding the effects of the weather upon salinity.Temperature and salinity objectives can be maintainedduring abnormal weather conditions by a high rate ofwater exchange (Davis, 1992). It is also possible to avoidhigh water temperatures by increasing the water depth(Huet, 1970) (rules 1-3).
In the scenario, the values 'forecast rainfall' is 'none','forecast sunshine' is 'high' and 'water exchange rate' is'normal' match rule 1 of weather.tx, which infers that"temperature trend' is 'increasing' and that 'salinity trend'is 'increasing'. The inference that 'temperature trend' is'increasing' coupled to the observation 'temperature' is'low' satisfy the antecedent of rule 4 of temperat.tx, whichinfers that 'forecast temperature' is 'normal'.
To find the value of 'forecast salinity' required bygrowth.tx, the Matcher consults the tableau salinity.tx(Figure 15). Penaeus monodon is euryhaline in nature andcan adapt to salinities ranging from 3-5 p.p.t., best growthrates being observed at 20-30 p.p.t. Death may be caused
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Elle Edit Options UtBHy Caedc Inference
Rulo 1
Rale 4
R d e 3
RuteE
Rulo2
Rule 5
Rule 7
PH
>-S.5
<7
>-7 1 <9.5
pH trend
decreasing
Increasing
decreasing
Increasing
decreasing
steady
forecast pH
very high
aormal
very low
Irlgh,
law
normal
addMve
com
lime
com
lime
water
SOX
set
33X
JO.
Fig. 16. pH.tx.
by extremely great salinity fluctuations or exceptionallyhigh salinity (> 45%) (Tseng, 1988). In the scenario, thevalue (28p.p.t.) of 'salinity' is classified as 'normal'. Asweather.tx has inferred that 'salinity trend' is 'increasing',rule 8 of salinity, tx infers 'future salinity level' is 'high' and'action' is '33% water exchange' (after Davis, 1992).
Forecasting pH
The value of 'forecast pH' is computed by pH.tx (Figure16). The range of values tolerated by Penaeus monodon is7-9.5 (Davis, 1992). The value of'pH trend' is computedby ammonia.tx (Figure 17). pH is proportional to theconcentration of carbon dioxide in the water and carbondioxide and oxygen levels are inversely related (Merkensand Downing, 1955; Boyd, 1982). Reducing the feedingrate, increasing aeration (increasing aeration will alsoincrease amonia volatilization) and making waterexchanges are recommended to prevent ammonia reachingtoxic levels (Davis, 1992). Unionized ammonia is highlytoxic as it reduces the ability of blood to transport oxygen(Colt and Armstrong, 1979). Ammonia is a product ofmicrobial decay of nitrogenous compounds, which ismodelled by the tableau ammcaus.tx (Figure 18).
In the scenario, Mablab growth rate' is 'high' wasinferred by decay.tx and 'excreta' is 'normal' was inferredby excre.tx in the course of determining 'oxygen demand';the value 'oxygen trend' is 'decreasing' was inferred byoxygen.tx in the course of determining 'future oxygena-tion'. Thus, the antecedent of rule 1 of ammcaus.tx issatisfied, which infers 'ammonia production' is 'increas-ing'. This, together with the inference 'future oxygenation'is 'low' made by oxysol.tx, causes ammonia.tx to infer 'pHtrend' is 'increasing'. The current 'pH' value of 9 isclassified as 'normal' by pH.tx (Figure 17). This, plus theinference 'pH trend' is 'increasing', cause pH.tx to inferthat 'future pH' is 'high' and 'action' is {'33% waterexchange', 'add ground corn'}. [Pote ei al. (1990)recommend adding corn (which is acidic) to neutralize
force* t toxygenaHoB
ammoniaproduction
waterexchange
aeration
pH trend
bottom feed
RuleZ
ara*fe,low
Rale 5
normal
Increasing
SOX
increase
33%
Rule 3 Rule 4
decreasing steady
Increasing
• reduce
decreasing steady
Fig. 17. ammonia tx
excess alkalinity and adding lime to neutralize excessacidity. Davis (1992) uses water exchanges to diluteexcessively acidic or alkaline pond water.]
Summary and conclusions
Table II lists the inferences made by the model during itssimulation of the case study scenario. Because oxysol.txhad inferred that 'future oxygenation' is Mow", rule 4 ofgrowth.tx infers that 'forecast growth rate' is "below target"unless the preventative maintenance actions inferredduring the course of the simulation are taken. Note thata single 33% water exchange is recommended, eventhough it is recommended for several different reasons.
The model embodies the general principle that aparameter whose current value is normal, and is predictedto change, triggers a recommendation to perform pre-ventative maintenance by a mild action (e.g. a 33% waterexchange). On the other hand, a parameter having a valueclassified as abnormal or non-optimal and which is alsotrending away from the normal range triggers a moresubstantial action (e.g. a 50% water exchange), since theproductivity damage inflicted by approaching lethal limitsis more substantial than the loss inflicted by crossing limitsof optimality.
As Piedrahitra (1989) observes: 'A model is only as
pie EdU Qotlons jpJIhy Check Inference
Hotel
Rote?
Ride 3
Rule 4
Rule 5
lablah growth
high
"high
OCCfCtA
hlgk
"high
oxygen trend
"decreasing
steady
Incrcastog
•ratnomlaproduction
Increasing
steady
decreasing
Fig. 18. ammcaus tx
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Table II. Inferred values of key indicators of water quality
Indicator Value Forecast Action
OxygenationOxygen productionOxygen demandAlgal bloom growthTurbidityLablab growthZooplankton growthFeed rateTemperatureSalinityPHAmmonia production
OKlowhigh
high
lownormalnormal
low
low
highhigh
normalhighalkalinehigh
33% water exchange, increase aeration
33% water exchange
reduce
33% water exchangeadd cornincrease aeration
good as the information used to develop it. As the qualityof the information improves, so will the quality of themodels.' By constructing an explicit representation of theknowledge used by mariculturalists to control waterquality, that knowledge itself can be studied and refined.A characteristic behaviour of the model as presentedis the regularity with which it recommends 33% waterexchanges. This is energy-expensive and also risks washingout the algal bloom, to compensate for which fertilizer hasto be regularly added, thereby further increasing the costof the operation. Thus there is reason to explorealternative approaches such as introducing finer controlof water exchanges and/or other methods of controllingconditions.
Acknowledgements
Richard Davis, manager of the University of Central Queensland (UCQ)Mariculture Research and Training Centre, and Ross Lobegeiger andDavid Hewitt of the Department of Primary Industries AcquacultureResearch Centre at bribie Island provided valuable insights intomaricultural practices. Laune Cook of the Biology Department atUCQ provided information on prior work on acquaculture models.Venupriya Nadella helped research the manculture literature andcontributed to the development of the model. David Golding and twoanonymous referees provided useful feedback on earlier versions of thispaper
References
Asian Shrimp News (1991) Issue no 7, Asian Shrimp Culture Council.Boyd.C.E. (1973) Summer algal communities and primary productivity
in fish ponds. Hydrobiologia, 41, 357-390.Boyd.C E. (1979) Water quality in warm water fish ponds Auburn
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Received on February 20. 1995, accepted on July 13. 1995
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