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Simple stochastic models for glacial dynamics Yosef Ashkenazy1
 

Summary: Simple stochastic models for glacial dynamics
Yosef Ashkenazy1
Environmental Sciences, Weizmann Institute, Rehovot, Israel
Don R. Baker
Earth and Planetary Sciences, McGill University, Montreal, Quebec, Canada
Hezi Gildor
Environmental Sciences, Weizmann Institute, Rehovot, Israel
Received 22 June 2004; revised 21 October 2004; accepted 28 December 2004; published 8 February 2005.
[1] Glacial-interglacial events have several nonlinear and stochastic characteristics.
Recent studies suggested additional stochastic nonlinear features (not necessarily related
to the large-scale dynamics of the glacial cycle) in the timescale of 1­100 kyr including
(1) strong long-range correlations in the magnitude of climate variable increments as well
as (2) a wide multifractal spectrum. Realistic climate models should reproduce these
properties of the natural system. We first study several previously proposed stochastic
models for glacial-interglacial dynamics and demonstrate that they do not reproduce some
of the nonlinear properties of the paleoclimate proxy data. We then suggest two nonlinear
stochastic models for glacial-interglacial dynamics that exhibit similar stochastic nonlinear
properties to those seen in the natural data. We conjecture that interaction between fast
random fluctuations (representing atmospheric variability) and slowly varying fluctuations
(representing oceanic variability) may underlie the observed stochastic nonlinearity of

  

Source: Ashkenazy, Yossi "Yosef" - Department of Solar Energy and Environmental Physics, Jacob Blaustein Institutes for Desert Research,Ben-Gurion University of the Negev
Gildor, Hezi - Institute of Earth Sciences, Hebrew University of Jerusalem
Rácz, Zoltán - Institute for Theoretical Physics, Eötvös University

 

Collections: Environmental Management and Restoration Technologies; Environmental Sciences and Ecology; Geosciences; Physics