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MZ twinning

Chance or determinism? An essay in nonlinear dynamics (chaos)

Bibliographic Data

ID13923863
AuthorsPierre Philippe (0000-0003-1889-0841, Université de Montréal, corresponding author)
Year1994
Volume21
Issue5
Pages423-434
Publication date1994-01-01
Open AccessYes
TypeARTICLE
VenueAnnals of Human Biology (JOURNAL)
Journal identifiersISSN: 0301-4460 • E-ISSN: 1464-5033
PublisherInforma (PUBLISHER • GB)
DOI10.1080/03014469400003442
PMID7985991
OpenAlexW2094497187
LanguageEN
References cited26

Classically, researchers considered monozygotic twinning (MZT) a random phenomenon. This paper tests the hypothesis with the aid of nonlinear dynamics techniques. The latter can tell true randomness from chance-like variation. Chaos, the endpoint of the threshold state of a nonlinear deterministic system, can mimic constrained randomness. From a practical standpoint, recognizing chaos in a time series data set means that the paradigmatic multifactorial model of causation is essentially ruled out. Specifically, time series of MZ, DZ, and single maternities were analysed. First, spectral analysis was used to uncover periodicities embedded in the series. Second, a singular value decomposition was undertaken to reduce noise from the series. Third, phase space attractors were drawn up that describe the 'asymptotic' trajectory of the system at any time. Results suggested that DZ, MZ, and single maternities shared a similar 32-year periodicity. Owing to two interwoven similar periodicities, the single-maternity cycle kinetics proved to be faster than that of DZ's. The MZ series was the only one to display secondary interacting harmonics, thus eliciting a rather unusual trajectory in the bidimensional phase space. The MZ time points were not spread in a haphazard fashion; on the contrary, a fine structure was present that did not reduce to a limit cycle such as the one characterizing the DZ- or the single-maternity trajectory. It was concluded that a complex nonlinear dynamic underlies MZ twinning. Therefore, calling for extrinsic causes to account for what appears to be random variation overtime would be pointless. MZ twinning should rather be traced to a limited number of intrinsic and deterministic interacting system components. The most likely candidates are presented and discussed

Attractor · Limit (mathematics · Limit cycle · Lyapunov exponent · Mathematical analysis · Nonlinear system · Phase space · Physics · Quantum mechanics · Randomness · Series (stratigraphy · Singleton · Statistical physics · Statistics · Computer Science · Mathematics · Molecular spectroscopy and chirality · Plant and animal studies · Spectroscopy and Quantum Chemical Studies

  • Dynamic Modeling

    R Huckfeldt, C Kohfeld et al.•Dynamic Modeling•1982

  • The declines in dizygotic twinning rates and in birth rates

    Open Access•William H James, William James•Annals of Human Biology•1975

  • The American Journal of Human Genetics

    Open Access•J S•Population•1950

Highly citedNo

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