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Journal of Population Research

, Volume 21, Issue 1, pp 95–98 | Cite as

Spline interpolation for demographic variables: The monotonicity problem

  • Len Smith
  • Rob J. Hyndman
  • Simon N. Wood
Article

Abstract

In demography, it is often necessary to obtain a monotonic interpolation of data. A solution to this problem is available using the Hyman filter for cubic splines. However, this does not seem to be well known amongst demographers, and no implementation of the procedure is readily available. We remedy these problems by outlining the relevant ideas here, and providing a function for the R language.

Keywords

interpolation splines monotonic age groups age distribution deaths data bank 

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References

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Copyright information

© Springer Science+Business Media 2004

Authors and Affiliations

  1. 1.Monash UniversityMelbourneAustralia
  2. 2.The University of GlasgowGlasgowUK
  3. 3.Australian Centre for Population ResearchThe Australian National UniversityAustralia

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