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Investigating the Hockey Stick Climate Model. EAS 4803- Dr. Wang 4/22/08 Robert Binion. Problem. Michael Mann, et al. have proposed the hockey stick temperature model, which suggests that world temperatures have significantly increased during the twentieth century
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Investigating the Hockey Stick Climate Model EAS 4803- Dr. Wang 4/22/08 Robert Binion
Problem • Michael Mann, et al. have proposed the hockey stick temperature model, which suggests that world temperatures have significantly increased during the twentieth century • I sought to analyze temperature data to determine the validity of his assertion that temperatures have significantly increased
Data • My data set includes normalized temperature data for the years 1391-1991 for both the northern and southern hemispheres as compiled by P.D. Jones from 17 different proxies • I used only the most recent 600 years of data because of inconsistencies in measuring techniques before that time period
Methodology • I performed a principle component regression using a singular value decomposition method to analyze my temperature data set • The regression is used to determine whether the hockey stick model could be a valid model to describe climate changes over the last 1000 years
Methodology • After performing the regression on both the northern and southern data, I found the 95 % confidence interval for both slopes and plotted the 95% confidence interval of the fitting line
Results • Plot of normalized northern hemisphere temperature data with principle component regression line
Results • Plot of normalized southern hemisphere temperature data with principle component regression line
Results • 95 % Slope Error estimate for northern data • low = • -0.0045 • high = • 0.0054 • Actual slope = • 4.6423e-004
Results • 95% Slope error for Southern Data • low = • -0.0048 • high = • 0.0047 • Actual slope = • -3.9896e-005
Conclusions • Analysis of the data turns out to be inconclusive • The regression for the northern hemisphere does have a positive slope to it, which would correspond to the hockey stick model • However, the southern data dhows a negative temperature trend • Both of the slope error bounds include positive and negative slopes, so neither graph is particularly conclusive • We can say that Mann’s results are not statistically vigorous based on the slope error bounds I calculated