Gauss-Vanicek Spectral Analysis of the Sepkoski Compendium: No New Life Cycles
<|reference_start|>Gauss-Vanicek Spectral Analysis of the Sepkoski Compendium: No New Life Cycles: New periods can emerge from data as a byproduct of incorrect processing or even the method applied. In one such recent instance, a new life cycle with a 62+-3 Myr period was reportedly found (about trend) in genus variations from the Sepkoski compendium, the world most complete fossil record. The approach that led to reporting this period was based on Fourier method of spectral analysis. I show here that no such period is found when the original data set is considered rigorously and processed in the Gauss-Vanicek spectral analysis. I also demonstrate that data altering can boost spectral power up to a nearly 100 percent increase in the signal range, thus introducing artificial, "99 percent significant" periods as seen in the corresponding variance-spectra of noise. Besides geology and paleontology, virtually all science and engineering disciplines could benefit from the approach described here. The main general advantages of the Gauss-Vanicek spectral analysis lay in period detection from gapped records and in straightforward testing of statistical null hypothesis. The main advantage of the method for physical sciences is its use as a field descriptor for accurate simultaneous detection of eigenfrequencies and relative dynamics. Besides analyzing incomplete records, researchers might also want to remove less-trustworthy data from any time series before analyzing it with the Gauss-Vanicek method. This could increase both the accuracy and reliability of spectral analyses in general.<|reference_end|>
@article{omerbashich2006gauss-vanicek,
    title={Gauss-Vanicek Spectral Analysis of the Sepkoski Compendium: No New Life
  Cycles},
    author={M. Omerbashich},
    journal={Computing in Science and Engineering 8, 4:26-30, Jul/Aug 2006.
  Errata in: CiSE 9, 4:5-6, Jul/Aug 2007 (Opposition paper to: R.A. Rohde &
  R.A. Muller (2005) Cycles in fossil diversity, Nature 434:208-210)},
    year={2006},
    doi={10.1109/MCSE.2006.68},
    archivePrefix={arXiv},
    eprint={math-ph/0608014},
    primaryClass={math-ph cs.NA math.MP physics.data-an q-bio.PE q-bio.QM}
}