1. By : Mohammad Gholizadeh
1-Damavand University & Peyabnovin Co
Gholizadeh_ir@yahoo.com
.
2. A MATHEMATICAL MODEL FOR STURGEON FISH
PRODUCTION IN WATER TEMPERATURE FLUCTUATION
Aquaculture and Sturgeon fish production has a high
rate in Iran. Climate of Iran led to water temperature
fluctuation
Mathematical spreadsheet model is presented
to predict the Sturgeon fish growth based on monthly
average water temperature and specific growth rate
SGR.
In the winter in such location the water temperature
is lower than 17 °C. Low temperature will cause on
very low growth.
Because of low price Gas Energy in Iran, it can be
economical to warm the water for higher growth rate.
3. A MATHEMATICAL MODEL FOR STURGEON FISH
PRODUCTION IN WATER TEMPERATURE FLUCTUATION
Basic Equations
SGR = [ LN(W2)- LN(W1) ] /(t2-t1) =LN(W2/W1) / Dt
W2=W1*Exp (SGR . Dt )
SGR=c . W ^ d. T^c
SGR = f(W,T)
SGR Specific Growth Rate
W : Fish Weight
T : Temperature
Topt : Optimum growth temperature
Dt : Timer interval
a,b,c,d : coefficients find by regression
4. 4
1 2 3 4 5 6 7 8 9 10 11 12
Air temperature 2 0 2 7 15 22 28 30 28 23 15 8
PredictedWater temperature( C ) 5.7 4.8 5.7 8.0 11.2 14.5 16.8 17.7 16.8 14.5 11.3 8.0
0
5
10
15
20
25
30
35
Water temperature and Air temperature relation
Tw= a*[A average+0.5*(Amax-Amin)* sin〖((2*π*(m+7))/12)〗 ] + b
By regression (a=0.43 , b=4.8 ) , GOF Goodness of fit r2= 0.84
A MATHEMATICAL MODEL FOR STURGEON FISH PRODUCTION IN WATER
TEMPERATURE FLUCTUATION
5. A MATHEMATICAL MODEL FOR STURGEON FISH PRODUCTION
IN WATER TEMPERATURE FLUCTUATION
SGR in a specific weight
6. A MATHEMATICAL MODEL FOR STURGEON FISH
PRODUCTION IN WATER TEMPERATURE FLUCTUATION
SGR in a specific temperature
7. A MATHEMATICAL MODEL FOR STURGEON FISH PRODUCTION
IN WATER TEMPERATURE FLUCTUATION
Main Idea : When the temperature is lower than
Optimum INCREASE TEMPERATURE INCREASE
SGR
Lower Temperature Higher Effective
8. A MATHEMATICAL MODEL FOR STURGEON FISH
PRODUCTION IN WATER TEMPERATURE FLUCTUATION
Trout SGR = f(T) Energy per Delta Temperature
is Linear
Sturgen SGR= f (T^2) Energy per Delta
Temperature is Non linear means in
lower temperature heating is more effective
