Department or Program
Mathematics
Abstract
A wavelet is a window function in both the time and the frequency domains; accordingly, the wavelet transform simultaneously reveals both time- and frequency-localized properties of a signal. Developed rapidly over the past thirty years, the wavelet transform has allowed mathematicians and scientists to better analyze, characterize, and model transient phenomena.
This thesis has three aims. First, it provides an exposition of both continuous and discrete wavelet theory. Second, the thesis reviews and articulates recent work on applying wavelet analysis to ecological time-series; special attention will be given to methods assigning statistical significance to wavelet power spectra. Finally, these methods will be applied to analyze the population dynamics of the cyanobacterium Gloeotrichia echinulata.
Level of Access
Restricted: Embargoed [Open Access After Expiration]
First Advisor
Greer, Meredith
Date of Graduation
5-2013
Degree Name
Bachelor of Arts
Recommended Citation
Peach, Daniel J., "Statistical Methods of Wavelet Analysis with Applications to Ecological Time-Series" (2013). Honors Theses. 56.
https://scarab.bates.edu/honorstheses/56
Number of Pages
112
Components of Thesis
1 pdf file