Optimal Measurement of Ice-Sheet deformation from Surface-Marker Arrays

Abstract Surface strain-rate is best observed by fitting a strain-rate ellipsoid to the measured movement of a stake network, or other collection of surface features, using a least-squares procedure. Error of the resulting fit varies as (L Δ t√n) -1 where L is the stake separation, Δ t is the time p...

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Bibliographic Details
Published in:Journal of Glaciology
Main Author: MacAyeal, D.R.
Format: Article in Journal/Newspaper
Language:English
Published: Cambridge University Press (CUP) 1985
Subjects:
Online Access:http://dx.doi.org/10.1017/s0022143000004998
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000004998
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Summary:Abstract Surface strain-rate is best observed by fitting a strain-rate ellipsoid to the measured movement of a stake network, or other collection of surface features, using a least-squares procedure. Error of the resulting fit varies as (L Δ t√n) -1 where L is the stake separation, Δ t is the time period between initial and final stake survey, and n is the number of stakes in the network. This relation suggests that, if n is sufficiently high, the traditional practice of re-visiting stake-network sites on successive field seasons may be replaced by a less costly single-year operation. A demonstration using Ross Ice Shelf data shows that reasonably accurate measurements can be obtained from 12 stakes after only four days of deformation. The least-squares procedure may also aid airborne photogrammetric surveys in that reducing the time interval between survey and re-survey could permit better surface-feature recognition.