Unevenly spaced time series analysis: Case study using calcimetry data from BV-1 and BV-2 boreholesin Ljubljansko barje (central Slovenia)

Statistical analyses of calcimetric data from boreholes BV-1 (north of PodpeČ) and BV-2 (south of ^rna vas) on Ljubljansko barje in central Slovenia are given. The original data are represented as unevenly spaced time series that are translated into evenly spaced time series. To calculate the interp...

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Main Author: Mihael Brenčič
Format: Article
Language:English
Published: Geological Survey of Slovenia 2009-12-01
Series:Geologija
Subjects:
Online Access:http://www.geologija-revija.si/dokument.aspx?id=1062
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author Mihael Brenčič
author_facet Mihael Brenčič
author_sort Mihael Brenčič
collection DOAJ
description Statistical analyses of calcimetric data from boreholes BV-1 (north of PodpeČ) and BV-2 (south of ^rna vas) on Ljubljansko barje in central Slovenia are given. The original data are represented as unevenly spaced time series that are translated into evenly spaced time series. To calculate the interpolation weighted influence function,amodel based on the power correlated influence is defined.Parameters electionisper formed basedon the maximum entropy principle. In the reconstructed time series, autocorrelation and Fourier power spectrum analyses are performed. In both time series, a transition from white noise to red noise was detected. Such behaviour can be describedby a Lorentz process. Red noise is the result of a stochastic process with long-term memory. This effect can be seen predominantly in the autocorrelation function of borehole BV-1. In the calcimetric time series of borehole BV-2, periodicity with a period between 10.0 m and 12.5 m was also detected. We suppose that this period reflects climatic fluctuations during the Quaternary Period.
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spelling doaj.art-e1389ca169f248b6a3f80bccceb502e42023-01-23T08:10:13ZengGeological Survey of SloveniaGeologija0016-77891854-620X2009-12-01522165174Unevenly spaced time series analysis: Case study using calcimetry data from BV-1 and BV-2 boreholesin Ljubljansko barje (central Slovenia)Mihael BrenčičStatistical analyses of calcimetric data from boreholes BV-1 (north of PodpeČ) and BV-2 (south of ^rna vas) on Ljubljansko barje in central Slovenia are given. The original data are represented as unevenly spaced time series that are translated into evenly spaced time series. To calculate the interpolation weighted influence function,amodel based on the power correlated influence is defined.Parameters electionisper formed basedon the maximum entropy principle. In the reconstructed time series, autocorrelation and Fourier power spectrum analyses are performed. In both time series, a transition from white noise to red noise was detected. Such behaviour can be describedby a Lorentz process. Red noise is the result of a stochastic process with long-term memory. This effect can be seen predominantly in the autocorrelation function of borehole BV-1. In the calcimetric time series of borehole BV-2, periodicity with a period between 10.0 m and 12.5 m was also detected. We suppose that this period reflects climatic fluctuations during the Quaternary Period.http://www.geologija-revija.si/dokument.aspx?id=1062unevenly spaced time seriesinterpolationweighted influencefunctionautocorrelationpower spectrumtrum maximum entropycalcimetrysedimentationQuaternaryLjubljansko barjeSlovenia
spellingShingle Mihael Brenčič
Unevenly spaced time series analysis: Case study using calcimetry data from BV-1 and BV-2 boreholesin Ljubljansko barje (central Slovenia)
Geologija
unevenly spaced time series
interpolation
weighted influencefunction
autocorrelation
power spectrum
trum maximum entropy
calcimetry
sedimentation
Quaternary
Ljubljansko barje
Slovenia
title Unevenly spaced time series analysis: Case study using calcimetry data from BV-1 and BV-2 boreholesin Ljubljansko barje (central Slovenia)
title_full Unevenly spaced time series analysis: Case study using calcimetry data from BV-1 and BV-2 boreholesin Ljubljansko barje (central Slovenia)
title_fullStr Unevenly spaced time series analysis: Case study using calcimetry data from BV-1 and BV-2 boreholesin Ljubljansko barje (central Slovenia)
title_full_unstemmed Unevenly spaced time series analysis: Case study using calcimetry data from BV-1 and BV-2 boreholesin Ljubljansko barje (central Slovenia)
title_short Unevenly spaced time series analysis: Case study using calcimetry data from BV-1 and BV-2 boreholesin Ljubljansko barje (central Slovenia)
title_sort unevenly spaced time series analysis case study using calcimetry data from bv 1 and bv 2 boreholesin ljubljansko barje central slovenia
topic unevenly spaced time series
interpolation
weighted influencefunction
autocorrelation
power spectrum
trum maximum entropy
calcimetry
sedimentation
Quaternary
Ljubljansko barje
Slovenia
url http://www.geologija-revija.si/dokument.aspx?id=1062
work_keys_str_mv AT mihaelbrencic unevenlyspacedtimeseriesanalysiscasestudyusingcalcimetrydatafrombv1andbv2boreholesinljubljanskobarjecentralslovenia