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A statistical model for foraminiferal paleobathymetry, with application to the middle Miocene of the Hokuroku district, Japan
Authors:Samuel Merrill III and Albert L Guber
Institution:(1) Department of Mathematics/Computer Science, Wilkes College, 18766 Wilkes-Barre, Pennsylvania, USA;(2) Department of Geosciences, Pennsylvania State University, 538 Deike Building, 16802 University Park, Pennsylvania, USA
Abstract:A paleobathymetric Bayes estimator, based on a uniform prior distribution of foraminiferal species over the depth range from 0 to 5000 m, is developed and calibrated from the occurrence of 35 species of foraminifera from present day sites on the Pacific and Indian Ocean seafloors. The species are grouped into 12 clusters in order to more nearly satisfy the independence assumptions of the model. Objective depth-independent criteria are developed for ruling certain samples inadmissible for estimation. The accuracy of the estimator is assessed by comparing estimated and measured depths for the admissible calibration samples, yielding a mean absolute error of estimation of between 300 and 400 m. The depth estimator is applied to foraminifera-bearing Miocene samples from the Hokuroku district of Japan, where paleobathymetric depths of between 3000 and 4000 m are indicated at the time of massive sulfide ore formation.
Keywords:Bayes estimator  likelihood ratio  Bernoulli model  paleobathymetry  foraminifera  massive sulfides
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