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A power function model for the basic geometry of solution dolines: considerations from the classical karst of south‐central Slovenia

Solution doline geometry is generally too complex to be expressed in terms of a few parameters. A methodology previously designed by the author, based on acquisition of specific field data and subsequent processing by various Fourier techniques, enabled doline geometry to be considered in its entirety. This paper sets out to investigate which simple rotational body (rotated power function) best fits the geometry of 38 dolines studied within the Classical Karst of Slovenia. It transpires that doline radius to depth ratio changes as a function of volume, whereas the mode of change remains stable regardless of the actual dimensions of individual dolines, and is basically the same at different locations. Doline volumes are very close of those of regular cones of the same dimensions, growing relatively deeper as the volume increases. Two poly‐segment models implied by the power function model and based on earlier work are discussed. It transpires that the studied dolines may be relict forms superimposed upon pre‐existing hidden shafts formed by epikarstic water. Copyright © 2006 John Wiley & Sons, Ltd.