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Mathematical and Statistical Models Examples

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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

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

Waves Through Earth: Interactive Online Mac and PC part of Examples
Students vary the seismic P and S wave velocity through each of four concentric regions of Earth and match "data" for travel times vs. angular distance around Earth's surface from the source to detector.

Earth System Topics: Solid Earth:Deformation

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

Sea Floor Spreading I part of Examples
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: Solid Earth, Oceans

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.

Earth System Topics: Human Dimensions:Population

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

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