A closure study of extinction apportionment by multiple regression

L. A. De, E. S. Macias, P. H. McMurry, B. J. Turpin, W. H. White

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


Multiple regression has been widely used to apportion particle light scattering among distinct chemical species. The resulting scattering budgets are shown here to be unbiased estimates under certain theoretical conditions. The theory allows species' particle size distributions and water uptakes to vary from sample to sample, as they are known to do in reality. The sole constraint is that variations in each species' characteristics be statistically independent of all species' concentrations. Individual violations of this condition cause identifiable biases, and multiple violations can offset each other to yield regression estimates that are accurate by accident. Detailed and summary accountings of statistical errors are illustrated using a mechanistic model derived from measurements in southern California. Copyright (C) 2000 Elsevier Science Ltd.

Original languageEnglish (US)
Pages (from-to)151-158
Number of pages8
JournalAtmospheric Environment
Issue number1
StatePublished - 2001

Bibliographical note

Funding Information:
This research benefited from the encouragement of Pradeep Saxena, project manager of supporting PRI contracts with Washington University and the University of Minnesota. The paper has also benefited from unusually helpful reviewer comments.


  • Aerosols
  • Estimation
  • Radiative forcing
  • Scattering efficiency
  • Southern California Air Quality Study (SCAQS)
  • Visibility


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