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Executive summary.
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Draft - The water
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Draft - The water
Contents
Executive summary.
Introduction.
Conventions
The Lake Salinity Model
Data inputs.
Estuary Function.
Effective cross-section
Behaviour of the Mfolozi mouth.
Rule based ecosystem response model.
Ecosystem response index
A Biomass index
A more responsive richness index.
Simple analytical models for insight and understanding.
Very simplified version for analytic solution.
The Relaxation time and the half-life.
Very simplistic model demonstrating the effect of mouth closure.
Conclusions relating to lake salinity and mouth operation.
Why a relaxation time constant?
Numerical solutions of trivial problem.
How can one recognise when errors are playing a significant role? And what to do about it?
A physical picture of the time step problem.
Formulation of general problem.
Green's function solution to 1D linear Ordinary Differential equation.
Matrix formulation.
Potter's channel type problems.
Constant in/out flow, linear level dependent estuary.
Sea to lake flow.
Lake to sea flow.
From theory to practice. Filling in the numbers.
When is it best to make a compensation release?
Preventing influx of salt.
Flushing salt in the summer months
Conclusion's on the simple analytics.
A variable step predictor corrector method. A better equation solver.
What is and Why use a Predictor Corrector method?
From Taylor's theorem to a variable step length Predictor-Corrector.
A second order predictor.
Second order correction step.
Calibration and Verification of the model.
Calibration and verification of the Lake salinity model.
Verification of the ecosystem model.
Sensitivity Analysis of the model.
How complex a model is necessary?
Risk analysis and Bootstrapping.
Results
Analysis of Potter's Channel.
Analysis of the Mkuze link canal.
Analysis of mouth operation.
Behaviour of the mouth under benchmark conditions.
What iffing. What if X increased by 20%?
The development spectrum.
Caveats.
Summary.
An annotated bibliography
References
Appendix - Monte Carlo process for calculating confidence intervals.
About this document ...
John Carter
Tue Jun 17 09:50:07 SAT 1997