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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.

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

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.

Earth System Topics: Atmosphere, Climate

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.

Earth System Topics: Human Dimensions:Population, Human Dimensions, Biosphere

Genetic Drift part of Examples
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: Biosphere, Evolution

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.

Earth System Topics: Human Dimensions:Population

Wind Surge: Interactive On-line Mac and PC part of Examples
Wind surge is a JAVA based applet for exploring how water level on the windward and leeward side of a basin depends on wind speed, basin length, water depth, and boundary type.

Earth System Topics: Human Dimensions:Natural Hazards, Atmosphere, Weather

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.

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

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.

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

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.

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

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.

Earth System Topics: Climate, Atmosphere

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