Mathematical and Statistical Models Exampels

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Chemical Equilibrium Misconceptions
This STELLA modeling and writing assignment helps students confront and replace common misconceptions about chemical equilibrium.

US Historical Climate: Excel Statistical
Students import US Historical Climate Network mean temperature data into Excel from a station of their choice and use Excel for statistical calculations, graphing, and linear trend estimates.

Earth System Topics: Atmosphere, Climate

Vostok Ice Core: Excel (Mac or PC)
Students use Excel to graph and analyze Vostok ice core data (160,000 years of Ice core data from Vostok Station). Data includes ice age, ice depth, carbon dioxide, methane, dust, and deuterium isotope relative abundance.

Earth System Topics: Atmosphere, Climate, Solid Earth:Earth Materials

Mass Balance Model
Students are introduced to the concept of mass balance, flow rates, and equilibrium using an online interactive water bucket model.

Earth System Topics: Climate, Earth's Cycles, Atmosphere, Biosphere:Ecology

Genetic Drift
In this biology simulation, students use a mathematical simulation of genetic drift to answer questions about the factors that influence this evolutionary process. Students run a series of simulations varying allele frequency and population size and then analyze their data and propose a model to explain their results.

Earth System Topics: Evolution, Biosphere

Daisyworld: Interactive On-line PC and Mac
Students use a JAVA interface design by R.M. MacKay to explore the Daisy World model. The JAVA interface comes with a link to a 6-page student activity page in PDF format.

Earth System Topics: Climate, Earth's Cycles:Carbon Cycle, Biosphere:Ecology, Atmosphere, Biosphere

Sea Floor Spreading I
In this introductory Excel tutorial (Activity I) students use Excel to explore the geodynamics model equation for ocean depth around a sea-floor spreading center. For students with no prior Excel experience.

Earth System Topics: Oceans, Solid Earth

Energy Balance Climate Model: Stella Mac and PC
Students explore a Global Energy Balance Climate Model Using Stella II. Response of surface temperature to variations in solar input, atmospheric and surface albedo, atmospheric water vapor and carbon dioxide, volcanic eruptions, and mixed layer ocean depth. Climate feedbacks such as water vapor or ice-albedo can be turned on or off.

Earth System Topics: Atmosphere, Climate

Daisyworld: Stella Mac or PC
After constructing a Stella model of Daisyworld students perform guided experiments to explore the behavior of Daisyworld to changes in model parameters and assumptions.

Earth System Topics: Atmosphere:Weather, Climate, Earth's Cycles:Carbon Cycle, Biosphere, Atmosphere, Biosphere:Ecology

World Population Activity I: Excel
(Activity 1 of 2) This activity is primarily intended as an introductory tutorial on using Excel. Students use Excel to explore population dynamics using the Logistic equation for (S-shaped) population growth.

Earth System Topics: Human Dimensions:Population



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