Application of singularity theory for statistics of paleomagnetic data

A problem related to the statistics of geomagnetic data is solved. A coordinate system on the Earth’s spherical surface is constructed. First coordinate P is calculated from the density function of paleomagnetic data on the Earth’s surface; this function is not assumed to be constant. The second coordinate is well defined for an arbitrary regular P coordinate and parametrizes a collection of components of the level curve of the first coordinate. A coordinate system is explicitly introduced and allows one to test 2D paleomagnetic data. In the solution topology and singularity theory are used.