Learning Objectives

Problem identification

be able to sense that there is a problem and determine actions that lead to the solution.

Multiple representations

be able to construct representations of problems as discriptive, graphical, algebraic, or other forms of models

be able to move back and forth between representations to aquire or fill in information

Graphical representations

be able to generate graphs from equations

be able to identify the key features of a graphical representation

be able to describe the units for X, Y axis and the function (the "curve", its slope or derivatives)

Algebraic representations

be able to use at least seven different algebraic equations

be able to identify which algebraic equations are possibly the most useful for different environmental data and relationships

be able to relate the parameters in an algebraic to the

Verbal descriptions

be able to make a verbal description that has enough specificity to translate it into a graph, equation, or time-step iterative model

Iterative models - time step

understand how iterative models differ from a simple XY plot of a function

generate simple iterative sequences for growth and other processes

use EXCEL to create a simple iterative model

use STELLA to generate more detailed iterative models

General modeling concepts

using models for problem definition, communication, hypothesis generation and hypothesis testing

setting the boundaries of the model

clarifying the units of all processes and converting between units for energy, mass, time, rates, etc

mass balance and conservation of energy constraints

positive and negative feedback loops

STELLA modeling skills

be able to use the major icons in the modeling environment (stocks, flows, controls, convertors, source/sink clouds)

create outputs with graphs or tables

set the time step, length of the model run, and scale of all parameters being graphed

use X-Y graphs for comparison

transfer model output data from STELLA to Excel for other forms of analysis

analyze (break down to subunits and explain) simple and busier models

explain the underlying equations that are used to generate the relationships and be able to show how those equations (or relationships) are evident in the final output