GLY1073 - Energy Balance Model With Atmosphere

1.) Develop a model of the Earth's energy system with an atmosphere according to the instructions provided. Be sure to change the time-step to 0.1 for all simulations. What is the equilibrium temperature of the energy balance model with atmosphere? What is the magnitude of the difference between the energy balance model with and without inclusion of an atmosphere?

2a.) Simulate the change in atmospheric CO₂ from prior to the Industrial revolution (280 ppm) to 2000 levels (370 ppm) using the graphical input function. The total increase was 30%, so the CO₂ increase factor changed from 1 to 1.32. What does your model predict for temperature rise since the Industrial Revolution (~100 years ago)? How does your result compare with the IPCC estimate of temperature rise?

b.) Simulate the change in atmospheric CO₂ under the Business-As-Usual scenario. Your model should reflect a rise in atmospheric CO₂ concentration (from pre-industrial levels) to 825 ppm by 2100 (i.e., you should run your model for ~200 years). The CO₂ increase factor changed from 1 to 2.95. What does your model predict for temperature rise under the Business-As-Usual scenario? How does your result compare with the IPCC estimate?

c.) What does your model predict for temperature rise under Scenario B (CO₂ emissions held at 1990 levels) which predicts that CO₂ increases to 550 ppm in 2100? The CO₂ increase factor changed from 1 to 1.96. How does your result compare with the IPCC estimate?

d.) What does your model predict for temperature rise under Scenario C (50% reduction in CO₂ emissions) which predicts that CO₂ increases to 500 ppm in 2100? The CO₂ increase factor changed from 1 to 1.79. How does your result compare with the IPCC estimate?

e.) What does your model predict for temperature rise Scenario D (2% decrease in CO₂ emissions per year) which predicts that CO₂ increases to 450 ppm in 2100? The CO₂ increase factor changed from 1 to 1.61. How does your result compare with the IPCC estimate?