Bayesian confidence intervals for true fractional coverage from finite transect measurements: Implications for cloud studies from space

Ivan Astin, Larry Di Girolamo, Helena Martine Van De Poll

Research output: Contribution to journalArticle

Abstract

The general probability distribution for the fractional amount of a geophysical parameter contained within a finite transect has been published previously. On the basis of this information confidence intervals were placed on the observed fraction prior to measurement from knowledge of the underlying distributions for the length of geophysical regions and of the gaps between such regions. In this form, hypothesis testing of models for these length distributions could be made given the observed fraction. However, what is also required (for change detection, for example) is the confidence interval for the true fraction given the observed fraction. Such a reversal of distribution may be provided by Bayes' theorem, as is demonstrated here for the case of underlying exponential distributions for these lengths. As an example, this is applied to transects across cloud fields observed by GMS-5, revealing that confidence intervals for the true cloud fraction, given the observed fraction, can be rather broad over typical climate model grid scales. This is an important result given the current number of proposed satellite-borne missions that are to make transect measurements of cloud parameters, in part to enhance such models.

Original languageEnglish (US)
Article number2001JD900168
Pages (from-to)17303-17310
Number of pages8
JournalJournal of Geophysical Research Atmospheres
Volume106
Issue numberD15
DOIs
StatePublished - Aug 16 2001

ASJC Scopus subject areas

  • Geophysics
  • Forestry
  • Oceanography
  • Aquatic Science
  • Ecology
  • Water Science and Technology
  • Soil Science
  • Geochemistry and Petrology
  • Earth-Surface Processes
  • Atmospheric Science
  • Earth and Planetary Sciences (miscellaneous)
  • Space and Planetary Science
  • Palaeontology

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