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Cylindrical Data

Ecological Statistics

  1. Christine M. Anderson-cook1,
  2. B. Sango Otieno2

Published Online: 15 JAN 2013

DOI: 10.1002/9780470057339.vnn159

Encyclopedia of Environmetrics

Encyclopedia of Environmetrics

How to Cite

Anderson-cook, C. M. and Sango Otieno, B. 2013. Cylindrical Data. Encyclopedia of Environmetrics. 2.

Author Information

  1. 1

    Los Alamos National Laboratory, Los Alamos, NM, USA

  2. 2

    Grand Valley State University, Allendale, MI, USA

Publication History

  1. Published Online: 15 JAN 2013


Cylindrical data are a form of directional data, where two responses are considered. An angular or circular response is combined with a linear response to form observations, which can be thought of as a location in polar coordinates or on the surface of a unit cylinder. There are several alternatives for modeling the responses including circular-linear relationships. Depending on the nature of the relationship between the two responses, some model forms can be more natural than others. Environmental examples of cylindrical data include plant and animal migration, as well as wind direction with another environmental measure such as ozone concentration or temperature.


  • directional data;
  • angular-linear data;
  • circular-linear data;
  • polar coordinates