# Mathematical and Statistical Models Examples

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Vostok Ice Core: Excel (Mac or PC) part of Examples

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.

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See the activity page for details.

US Historical Climate: Excel Statistical part of Examples

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.

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Human Demographics part of Examples

In this biology simulation students explore factors that change human population growth including age at which women begin to bear children, fertility rate and death rate.

Trace Gases: Stella II Mac and PC part of Examples

This Stella model allows students to learn about chemical mass balance in the atmosphere and apply this to atmospheric chlorofluorocarbon and carbon dioxide concentrations.

Mass Balance Model part of Examples

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

World Population Activity II: Excel part of Examples

(Activity 2 of 2)In this intermediate Excel tutorial students import UNEP World population data/projections, graph this data, and then compare it to the mathematical model of logistic growth.

Daisyworld: Stella Mac or PC part of Examples

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

Daisyworld: Interactive On-line PC and Mac part of Examples

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.

Energy Balance Climate Model: Stella Mac and PC part of Examples

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.

World Population Activity I: Excel part of Examples

(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.