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1-114-EarthClimate-ModelingScenario

Author(s): Terrance Pendleton

Keywords: climate energy temperature linearization phase lines energy balance model root finding

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Abstract

Resource Image In this modeling scenario, we investigate the Earth's climate using a zero-dimensional energy balance model. Energy balance models are climate models that try to predict the average surface temperature of the Earth.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

Energy balance models are climate models that try to predict the average surface temperature of the Earth from solar radiation, emission of radiation to outer space, and Earth's energy absorption and greenhouse effects.

Via an iterative process, we construct a first order nonlinear differential equation which models the global mean temperature of Earth.

A phase line analysis is conducted to characterize the solutions for which Earth is in thermal equilibrium.

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Author(s): Terrance Pendleton

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