Temporal dynamics of a jökulhlaup system

Recurring jökulhlaups from ice-dammed lakes often form irregular time sequences that are seemingly unpredictable. Using the flood dates of Merzbacher Lake, Kyrgyzstan, as an example, we study these sequences through a model of lake filling and drainage where flood events initiate at a threshold wate...

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Bibliographic Details
Published in:Journal of Glaciology
Main Authors: Ng, F., Liu, S.
Format: Article in Journal/Newspaper
Language:English
Published: International Glaciological Society 2009
Subjects:
Online Access:https://eprints.whiterose.ac.uk/78913/
https://eprints.whiterose.ac.uk/78913/1/ng_liu_2009.pdf
https://doi.org/10.3189/002214309789470897
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Summary:Recurring jökulhlaups from ice-dammed lakes often form irregular time sequences that are seemingly unpredictable. Using the flood dates of Merzbacher Lake, Kyrgyzstan, as an example, we study these sequences through a model of lake filling and drainage where flood events initiate at a threshold water depth. Even with a constant threshold, model simulation can explain key aspects of the Merzbacher flood sequence. General analysis of model dynamics reveals a pacing mechanism that links one flood to the next, and which may be represented mathematically as an iterative map. This theory clarifies how environmental factors govern the long-term pattern of flood timings and their frequency distribution in the year. A reconstruction of the past level of Merzbacher Lake also suggests that its flood-initiation threshold decreases with the rate of lake-level rise. These results may help us understand how to forecast future outbursts from jökulhlaup lakes.