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Explore population growth modeling with mass balance, exponential, logistic, Monod models, and environmental resistance in surface water quality. Learn about resource competition, yield and death coefficients, numerical integration, and the Euler Method. Practice coding for non-linear kinetics.
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CE5504 Surface Water Quality Modeling Lab 1. Numerical Methods and Population Growth Modeling CE5504 – Surface Water Quality Modeling
Begin with a mass balance on microbial growth CE5504 – Surface Water Quality Modeling
Exponential growth model (Mihelcic 1999, Figure 5.4) CE5504 – Surface Water Quality Modeling
Environmental Resistance (Mihelcic 1999, Figure 5.5) CE5504 – Surface Water Quality Modeling
Logistic growth model (Mihelcic 1999, Figure 5.7) CE5504 – Surface Water Quality Modeling
Example: carry capacity effects (Mihelcic 1999, Figure 5.6) CE5504 – Surface Water Quality Modeling
Monod Model (Mihelcic 1999, Figure 5.8) CE5504 – Surface Water Quality Modeling
Example: resource competition (Mihelcic 1999, Figure 5.9) CE5504 – Surface Water Quality Modeling
The Yield Coefficient CE5504 – Surface Water Quality Modeling
The Death (Respiration) Coefficient CE5504 – Surface Water Quality Modeling
Putting It All Together (Mihelcic 1999, Figure 5.10) CE5504 – Surface Water Quality Modeling
Numerical Integration • non-idealized loading functions • variable parameters • multi-segment systems • non-linear kinetics CE5504 – Surface Water Quality Modeling
The Euler Method CE5504 – Surface Water Quality Modeling
The Effect of Step Size (Spain 1982, Figure 5.1) CE5504 – Surface Water Quality Modeling
Code CE5504 – Surface Water Quality Modeling
Code (continued) CE5504 – Surface Water Quality Modeling
Code (continued) CE5504 – Surface Water Quality Modeling