Mathematical modelling and system analysis of inorganic carbon in the aquatic environment

A mathematical model is designed, framed in difference equations which define the changes in inorganic carbon due to photosynthesis, respiration, and deposition of calcium carbonate in aquatic systems. The main input for the model are pH and alkalinity, and the output provides the entire carbon speciation at a given point in time. The model was then converted into a computer program (the matcat program), and simulated for precision analysis and generality. The results obtained from the model were verified from the overall carbon balance calculated from field data. The sensitivity of the model was increased by adjusting the pH value. Fitted with appropriate regression equations, the model accounts for changes in parameters such as oxygen, or the input of detergents into the water body. Thus the model can be used for the rapid assessment of productivity and respiration in ecosystems, as well as the impact of pollutants (such as detergents) entering into the water body.