Abstract
The R package rcosmo was developed for handling and analysing Hierarchical Equal Area isoLatitude Pixelation (HEALPix) and Cosmic Microwave Background (CMB) radiation data. It has more than 100 functions. rcosmo was initially developed for CMB, but also can be used for other spherical data. This paper discusses transformations into rcosmo formats and handling of three types of non-CMB data: continuous geographic, point pattern and star-shaped. For each type of data we provide a brief description of the corresponding statistical model, data example and ready-to-use R code. Some statistical functionality of rcosmo is demonstrated for the example data converted into the HEALPix format. The paper can serve as the first practical guideline to transforming data into the HEALPix format and statistical analysis with rcosmo for geo-statisticians, GIS and R users and researches dealing with spherical data in non-HEALPix formats.
This research was partially supported under the Australian Research Council’s Discovery Project DP160101366.
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References
Baddeley, A., Rubak, E., Turner, R.: Spatial Point Patterns. Methodology and Applications with R. Chapman and Hall/CRC, New York (2015)
Chung, M.K., Worsley, K.J., Nacewicz, B.M., Dalton, K.M., Davidson, R.J.: General multivariate linear modeling of surface shapes using SurfStat. NeuroImage 53, 491–505 (2010). https://doi.org/10.1016/j.neuroimage.2010.06.032
Cressie, N., Johannesson, G.: Fixed rank kriging for very large spatial data sets. J. Roy. Stat. Soc.: Ser. B (Stat. Methodol.) 70(1), 209–226 (2008). https://doi.org/10.1111/j.1467-9868.2007.00633.x
Diggle, P.J.: Statistical Analysis of Spatial and Spatio-Temporal Point Patterns. Chapman and Hall/CRC, New York (2013)
Fryer, D., Olenko, A., Li, M.: rcosmo: R Package for Analysis of Spherical, HEALPix and Cosmological Data (2019, submitted)
Fryer, D., Olenko, A., Li, M., Wang, Y.: rcosmo: Cosmic Microwave Background Data Analysis. R package version 1.1.0. (2019). https://CRAN.R-project.org/package=rcosmo
Gorski, K.M., et al.: HEALPix: a framework for high-resolution discretization and fast analysis of data distributed on the sphere. Astrophys. J. 622(2), 759–771 (2005). https://doi.org/10.1086/427976
HEALPix: Data Analysis, Simulations and Visualization on the Sphere. https://healpix.sourceforge.io/. Accessed 30 May 2019
Healpy documentation homepage. https://healpy.readthedocs.io/. Accessed 30 May 2019
HEALPix Library for MATLAB. http://sufoo.c.ooco.jp/program/healpix.html. Accessed 30 May 2019
Integrated Global Radiosonde Archive homepage. https://www.ncdc.noaa.gov/data-access/weather-balloon/integrated-global-radiosonde-archive. Accessed 30 May 2019
Ley, C., Verdebout, T.: Modern Directional Statistics. CRC Press, Boca Raton (2017)
Marinucci, D., Peccati, G.: Random Fields on the Sphere. Representation, Limit Theorems and Cosmological Applications. Cambridge University Press, Cambridge (2011)
Srivastava, A., Klassen, E.P.: Functional and Shape Data Analysis. Springer, New York (2016)
Yadrenko, M.I.: Spectral Theory of Random Fields. Optimization Software Inc., New York (1983)
Acknowledgements
We would like to thank V.V. Anh, P. Broadbridge, N. Leonenko, M. Li, I. Sloan, and Y. Wang for their discussions of CMB and spherical statistical methods, and J. Ryan for developing and extending the mmap package.
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Fryer, D., Olenko, A. (2019). Spherical Data Handling and Analysis with R package rcosmo. In: Nguyen, H. (eds) Statistics and Data Science. RSSDS 2019. Communications in Computer and Information Science, vol 1150. Springer, Singapore. https://doi.org/10.1007/978-981-15-1960-4_15
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DOI: https://doi.org/10.1007/978-981-15-1960-4_15
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