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Mathematical and Statistical Models Exampels

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

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

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

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: Climate, Atmosphere

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

Waves Through Earth: Interactive Online Mac and PC
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

World Population Activity II: Excel
(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

Sun Path: Interactive On-line Mac or PC
Students use SunPath in the yearly mode to investigate seasonal changes in sunrise, sunset, length of day and sun altitude at their own latitude. JAVA activity for Mac or PC.

Earth System Topics: Atmosphere, Climate, Solar System and Astronomy

Planck Radiation Laws: Excel; Mac or PC
Students use an existing Excel workbook to investigate how spectral irradiance from a blackbody radiator depends on temperature, Excel Mac or PC

Earth System Topics: Atmosphere, Climate

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

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