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Demography

, Volume 14, Issue 2, pp 245–252 | Cite as

Spline interpolation of demographic oata

  • Donald R. McNeil
  • T. Jamel Trullell
  • John C. Turner
Notes

Abstract

There are many problems in demography involving the smoothing or interpolation of data. Usually a solution is obtained by fitting a polynomial or a suitable model curve. Often, however, fitting a spline proves to be a simple recourse. Splines were invented nearly 30 years ago and have been shown to have desirable properties. Although spline functions are by no means unknown to demographers, no simple and direct explanation of their application exists. We hope to remedy this deficiency with this expository piece.

Keywords

Boundary Point Spline Function Spline Interpolation Smoothness Property Fertility Schedule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Anderssen, Robert S., P. Bloomfield, and D. R. McNeil. 1974. Spline Functions in Data Analysis. Technical Report No. 69, Series 2. Princeton: Department of Statistics, Princeton University.Google Scholar
  2. Festy, P. 1970. Evolution de la Fecondite en Europe Occidentale Depuis la Guerre. Population 25:229–274.CrossRefGoogle Scholar
  3. Greville, T. N. E. 1969. Introduction to Spline Functions. pp. 1–35 in Thomas N. E. Greville, Theory and Applications to Spline Functions. New York: Academic Press.Google Scholar
  4. Schoenberg, I. J. 1964. Spline Functions and the Problem of Graduation. Proceedings of the National Academy of Sciences 52:947.CrossRefGoogle Scholar
  5. — 1973. Splines and Histograms. Pp. 277–327 in A. Meir and A. Sharma, Spline Functions and Approximation Theory. Basel, Stuttgart: Birkhauser Verlag.Google Scholar
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  7. Shryock, Henry S., J. Siegel, and Associates. 1975. The Methods and Materials of Demography. Washington, D.C.: U.S. Government Printing Office.Google Scholar

Copyright information

© Population Association of America 1977

Authors and Affiliations

  • Donald R. McNeil
    • 1
  • T. Jamel Trullell
    • 2
  • John C. Turner
    • 3
  1. 1.Department of StatisticsPrinceton UniversityPrinceton
  2. 2.Office of Population ResearchPrinceton UniversityPrinceton
  3. 3.Deportment of StatisticsPrinceton UniversityPrinceton

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