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- W2967154695 abstract "The Fisher distribution is central to palaeomagnetism but presents several problems when usedto characterize geomagnetic field directions as observed in sequences of volcanic rocks. First,it introduces a shallowing effect when used to define the mean of any group of directional unitvectors. This is problematic because it can suggest the presence of persistent non-axial dipolecomponents when none are present. More importantly, it fails to capture the observed ‘longtail’ in distributions of both directions and associated virtual geomagnetic poles in terms ofangular distance from a central direction. To achieve a good fit to data, it therefore requires theintroduction of a second distribution (and therefore the estimation of additional parameters)or the arbitrary removal of data. Here we present a new distribution to describe palaeomagneticdirections and demonstrate that it overcomes both of these problems, generating robustindicators of both the central direction (or pole position) and the spread of palaeomagneticdata as defined by unit vectors. Starting from the assumption that poles (or directions) havean expected colatitude, rather than a mean location, we derive the spherical exponential distribution.We demonstrate that this new distribution provides a good fit to palaeomagnetic datasets from seven large igneous provinces between 15 and 65 Ma and also those produced bynumerical dynamo models. We also use it to derive a new shape parameter which may beused as a diagnostic tool for testing goodness of fit of models to data and use this to arguefor a shift in geomagnetic behaviour between 5 and 15 Ma. Furthermore, we point out thatthis new statistic can be used to determine the most appropriate distribution to be used whenconstructing confidence limits for poles." @default.
- W2967154695 created "2019-08-22" @default.
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- W2967154695 date "2015-01-01" @default.
- W2967154695 modified "2023-09-27" @default.
- W2967154695 title "Robust estimators reveal changing geomagnetic field behaviour through the Cenozoic" @default.
- W2967154695 hasPublicationYear "2015" @default.
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