Iterative regression analysis of periodicities in geophysical record time series

Rigozo, Nivaor Rodolfo; Nordemann, D. J. R.

doi:10.1590/s0102-261x1998000200004

Cited by 36 publications

(16 citation statements)

References 8 publications

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“…This method is an iterative least square fit, and it uses a simple sine function with three unknown parameters, a 0 = amplitude, a 1 = angular frequency and a 2 = phase (Wolberg, 1967;Rigozo and Nordemann, 1998;Rigozo et al, 2005). The starting point of this method is the so-called conditional function F = Y −a 0 sin(a 1 t +a 2 ), where Y is the observed signal, t is the time, and a 0 , a 1 , and a 2 are the three unknown parameters described above; see Rigozo et al (2005) for more details on how to determine the initial values of a 0 , a 1 , and a 2 .…”

Section: Iterative Regression Methods (Arist)mentioning

confidence: 99%

Araucaria growth response to solar and climate variability in South Brazil

et al. 2018

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Abstract. In this work, the Sun-Earth-climate relationship is studied using tree growth rings of Araucaria angustifolia (Bertol.) O. Kuntze collected in the city of Passo Fundo, located in the state of Rio Grande do Sul (RS), Brazil. These samples were previously studied by Rigozo et al. (2008); however, their main interest was to search for the solar periodicities in the tree-ring width mean time series without interpreting the rest of the periodicities found. The question arises as to what are the drivers related to those periodicities. For this reason, the classical method of spectral analysis by iterative regression and wavelet methods are applied to find periodicities and trends present in each tree-ring growth, in Southern Oscillation Index (SOI), and in annual mean temperature anomaly between the 24 and 44 • S. In order to address the aforementioned question, this paper discusses the correlation between the growth rate of the tree rings with temperature and SOI. In each tree-ring growth series, periods between 2 and 7 years were found, possibly related to the El Niño/La Niña phenomena, and a ∼ 23-year period was found, which may be related to temperature variation. These novel results might represent the tree-ring growth response to local climate conditions during its lifetime, and to nonlinear coupling between the Sun and the local climate variability responsible to the regional climate variations.

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Section: Iterative Regression Methods (Arist)mentioning

confidence: 99%

Araucaria growth response to solar and climate variability in South Brazil

et al. 2018

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“…ARIST is based on the adjustment of observational data by means of a sine function with three unknown parameters (frequency, amplitude and phase). These parameters are computed in an iterative process, after which it is possible to determine periodicities that may be present in the time series and to select those with statistical significance (Rigozo and Nordemann, 1998;Rigozo et al, 2005).…”

Section: Introductionmentioning

confidence: 99%

Evidence for cosmic ray modulation in temperature records from the South Atlantic Magnetic Anomaly region

Frigo

Pacca²,

Filho³

et al. 2013

Ann. Geophys.

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Abstract. Possible direct or indirect climatic effects related to solar variability and El Niño-Southern Oscillation (ENSO) were investigated in the southern Brazil region by means of the annual mean temperatures from four weather stations 2 degrees of latitude apart over the South Atlantic Magnetic Anomaly (SAMA) region. Four maximum temperature peaks are evident at all stations in 1940, 1958, 1977 and 2002. A spectral analysis indicates the occurrence of periodicities between 2 and 7 yr, most likely associated with ENSO, and periodicities of approximately 11 and 22 yr, normally associated with solar variability. Cross-wavelet analysis indicated that the signal associated with the 22 yr solar magnetic cycle was more persistent in the last decades, while the 11 yr sunspot cycle and ENSO periodicities were intermittent. Phase-angle analysis revealed that temperature variations and the 22 yr solar cycle were in anti-phase near the SAMA center. Results show an indirect indication of possible relationships between the variability of galactic cosmic rays and climate change on a regional scale.

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“…The iterative regression method is an iterative least-square fit and it was described in its general form by Wolberg (1967) and Rigozo and Nordemann (1998). It may be applied to the fit of any function to experimental or observational data, without need of previous linearization.…”

Section: Spectral Analysismentioning

confidence: 99%

“…More details regarding the ARIST method can be found in Rigozo and Nordemann (1998). A comparison among ARIST and other spectral methods will be published elsewhere.…”

Section: Spectral Analysismentioning

confidence: 99%