Date of Award
August 2014
Degree Type
Thesis
Degree Name
Master of Science
Department
Mathematics
First Advisor
Anastasios Tsonis
Committee Members
Kyle Swanson, Sergey Kravtsov
Keywords
Climate, Discrete Fourier Transform, Dynamics, Multi-Periodic, Spectral Analysis, Temperature Records
Abstract
Analyzing 26 short-length (less than 3000 years) instrumental and proxy temperature records and five long-length (greater than 3000 years) proxy temperature records using Discrete Fourier Transform has shown that as the length of significant periods increase in the time domain then so does the power at which the period is observed. A t-test verifies that a positive correlation exist between the length of the significant periods and the power with a confidence level of ∝ >0.05. Significant frequencies with period greater than 30 years are confirmed using Monte Carlo simulations, which were created using a nonlinear approach known as fractional Brownian motion (FBM). While completing the spectral analysis it was observed in the spectral analysis is an absence of significant periods between about 1000 years and 20,000 years. Also, wavelet analysis of all short-length temperature records turned up no significant findings.
Recommended Citation
Madsen, Michael David, "Multi-Periodic Climate Dynamics: Spectral Analysis of Instrumental, Short- and Long-length Proxy Temperature Records" (2014). Theses and Dissertations. 724.
https://dc.uwm.edu/etd/724