Modeling Ecosystems and Climates A Teaching Simulator for Systems - - PowerPoint PPT Presentation

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Modeling Ecosystems and Climates A Teaching Simulator for Systems - - PowerPoint PPT Presentation

Modeling Ecosystems and Climates A Teaching Simulator for Systems Dynamics Work Partially Brian S. Blais supported from NASA Rhode Science and Technology Island Space Grant Consortium Bryant University Introducing Systems Stock and


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Modeling Ecosystems and Climates

A Teaching Simulator for Systems Dynamics

Brian S. Blais Science and Technology Bryant University

Work Partially supported from NASA Rhode Island Space Grant Consortium

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Introducing Systems

Stock and flow Diagrams differential equations

d(mice) dt = +b(mice) − d(mice) mice′ = +b(mice) − d(mice) b = 1.1 d = 0.08

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Current Tools

Spreadsheet Excel, Numbers, Google Spreadsheet Graphical Stella, Powersim, Vensim, Simile

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Current Tools

Spreadsheet Graphical

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Spreadsheet

Pros Cons

Students already Familiar Does not Scale Well Students Write the Simulation Itself Equations can get Messy Numerical Instabilities

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Current Tools

Spreadsheet Graphical

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Graphical Programs

Pros Cons

Nice Interface for Simple Systems Commercial Learning Curve Cumbersome with Large Systems Not extensible

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Cumbersome

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Python

Easy language nasa, google free scientific computing support

  • de support
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The Simulator

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Equations And Flows

...or Inflows/ Outflows to Stocks Specify either Full equations...

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Predator-Prey

Wolf Deer Births Deaths Deaths Births

r · deer r · deer2/K c · deer · wolf Wd · wolf D · deer · wolf

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Predator-Prey

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Kermack-McKendrick

Infectious Disease Model

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Newton’s Law of Cooling Energy Balance

Coffee Cup Model

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Coffee Cup Model

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Coffee Oscillations

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Coffee Oscillations

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Coffee Oscillations

Noon 3PM Analogy with Earth Surface Temperatures

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Daisyworld Model

White daisies Black daisies Available fertile land

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Daisyworld Model

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Daisyworld Model

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Daisyworld Model

Solar Input doubles over this time

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Higher-Order

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Future directions

Better user interface 2-D, 3-D, N-D equations

Thanks!

Work Partially supported from NASA Rhode Island Space Grant Consortium