Data estimation and the colour of time series

István Scheuring, Orsolya E. Zeöld

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

There has been a long debate on the source of temporal fluctuations in natural population densities. The difficulty is that unpredictable irregularities might be attributed either to external environmental factors or to chaotic dynamics of populations, or even to the interaction of these two factors. Some years ago Cohen (1995) pointed out that real time series follow redshifted Fourier power spectra, while the simplest chaotic population dynamical models are mostly blueshifted. Since then, the controversy has focused on comparisons of Fourier spectra originating from different models and data. Here, we show experimentally that estimation process by human observers shifts power spectra to the red. This result implies that because of estimation distortion, real population data must be less redshifted than many recorded time series suggest.

Original languageEnglish
Pages (from-to)427-434
Number of pages8
JournalJournal of Theoretical Biology
Volume213
Issue number3
DOIs
Publication statusPublished - Dec 7 2001

Fingerprint

Power spectrum
Time series
time series analysis
Fourier Spectrum
Color
Power Spectrum
color
population density
population dynamics
Environmental Factors
Population Dynamics
Irregularity
Chaotic Dynamics
Dynamical Model
Population Model
Population Density
Population
environmental factors
Observer
Fluctuations

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)

Cite this

Data estimation and the colour of time series. / Scheuring, István; Zeöld, Orsolya E.

In: Journal of Theoretical Biology, Vol. 213, No. 3, 07.12.2001, p. 427-434.

Research output: Contribution to journalArticle

Scheuring, István ; Zeöld, Orsolya E. / Data estimation and the colour of time series. In: Journal of Theoretical Biology. 2001 ; Vol. 213, No. 3. pp. 427-434.
@article{c312fa3ff0cb4eea8cf914160fafe8f3,
title = "Data estimation and the colour of time series",
abstract = "There has been a long debate on the source of temporal fluctuations in natural population densities. The difficulty is that unpredictable irregularities might be attributed either to external environmental factors or to chaotic dynamics of populations, or even to the interaction of these two factors. Some years ago Cohen (1995) pointed out that real time series follow redshifted Fourier power spectra, while the simplest chaotic population dynamical models are mostly blueshifted. Since then, the controversy has focused on comparisons of Fourier spectra originating from different models and data. Here, we show experimentally that estimation process by human observers shifts power spectra to the red. This result implies that because of estimation distortion, real population data must be less redshifted than many recorded time series suggest.",
author = "Istv{\'a}n Scheuring and Ze{\"o}ld, {Orsolya E.}",
year = "2001",
month = "12",
day = "7",
doi = "10.1006/jtbi.2001.2428",
language = "English",
volume = "213",
pages = "427--434",
journal = "Journal of Theoretical Biology",
issn = "0022-5193",
publisher = "Academic Press Inc.",
number = "3",

}

TY - JOUR

T1 - Data estimation and the colour of time series

AU - Scheuring, István

AU - Zeöld, Orsolya E.

PY - 2001/12/7

Y1 - 2001/12/7

N2 - There has been a long debate on the source of temporal fluctuations in natural population densities. The difficulty is that unpredictable irregularities might be attributed either to external environmental factors or to chaotic dynamics of populations, or even to the interaction of these two factors. Some years ago Cohen (1995) pointed out that real time series follow redshifted Fourier power spectra, while the simplest chaotic population dynamical models are mostly blueshifted. Since then, the controversy has focused on comparisons of Fourier spectra originating from different models and data. Here, we show experimentally that estimation process by human observers shifts power spectra to the red. This result implies that because of estimation distortion, real population data must be less redshifted than many recorded time series suggest.

AB - There has been a long debate on the source of temporal fluctuations in natural population densities. The difficulty is that unpredictable irregularities might be attributed either to external environmental factors or to chaotic dynamics of populations, or even to the interaction of these two factors. Some years ago Cohen (1995) pointed out that real time series follow redshifted Fourier power spectra, while the simplest chaotic population dynamical models are mostly blueshifted. Since then, the controversy has focused on comparisons of Fourier spectra originating from different models and data. Here, we show experimentally that estimation process by human observers shifts power spectra to the red. This result implies that because of estimation distortion, real population data must be less redshifted than many recorded time series suggest.

UR - http://www.scopus.com/inward/record.url?scp=0035824743&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035824743&partnerID=8YFLogxK

U2 - 10.1006/jtbi.2001.2428

DO - 10.1006/jtbi.2001.2428

M3 - Article

C2 - 11735289

AN - SCOPUS:0035824743

VL - 213

SP - 427

EP - 434

JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

SN - 0022-5193

IS - 3

ER -