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System dynamics
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===Equations=== The real power of system dynamics is utilised through simulation. Although it is possible to perform the modeling in a [[spreadsheet]], there are a [[Comparison of system dynamics software|variety of software]] packages that have been optimised for this. The steps involved in a simulation are: *Define the problem boundary. *Identify the most important stocks and flows that change these stock levels. *Identify sources of information that impact the flows. *Identify the main feedback loops. *Draw a causal loop diagram that links the stocks, flows and sources of information. *Write the equations that determine the flows. *Estimate the parameters and initial conditions. These can be estimated using statistical methods, expert opinion, market research data or other relevant sources of information.<ref name="Sterman2001CMR">{{cite journal |last=Sterman |first=John D. |year=2001 |title=System dynamics modeling: Tools for learning in a complex world |journal=California Management Review |volume=43 |issue=4 |pages=8β25|doi=10.2307/41166098 |jstor=41166098 |s2cid=4637381 }}</ref> *Simulate the model and analyse results. In this example, the equations that change the two stocks via the flow are: <math> \ \mbox{Potential adopters} = - \int_{0} ^{t} \mbox{New adopters }\,dt </math> <!-- I don't want to mark up this great contribution, but shouldn't this be something like potential adopters at t(0) - sum(new adopters at t(i))? Yes --> <math> \ \mbox{Adopters} = \int_{0} ^{t} \mbox{New adopters }\,dt </math>
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