Abstract

Conical hills, or residual hills, are frequently mentioned landforms in the context of humid tropical karsts as they are dominant surface elements there. Residual hills are also present in temperate karsts, but generally in a less remarkable way. These landforms have not been thoroughly addressed in the literature to date, therefore the present article is the first attempt to morphometrically characterize temperate zone residual karst hills. We use the methods already developed for doline morphometry, and we apply them to the “inverse” topography using LiDAR-based digital terrain models (DTMs) of three Slovenian sample areas. The characteristics of hills and depressions are analysed in parallel, taking into account the rank of the forms. A common feature of hills and dolines is that, for both types, the empirical distribution of planform areas has a strongly positive skew. After logarithmic transformation, these distributions can be approximated by Inverse Gaussian, Normal, and Weibull distributions. Along with the rank, the planform area and vertical extent of the hills and dolines increase similarly. High circularity is characteristic only of the first-rank forms for both dolines and hills. For the sample areas, the the hill area ratios and the doline area ratios have similar values, but the total extent of the hills is slightly larger in each case. A difference between dolines and hills is that the shapes of hills are more similar to one another than those of dolines. The reason for this is that the larger, closed depressions are created by lateral coalescence, while the hills are residual forms carved from large blocks. Another significant difference is that the density of dolines is much higher than that of hills. This article is intended as a methodological starting point for a new topic, aiming at the comprehensive study of residual karst hills across different climatic areas.

Highlights

  • Doline density is not a “perfect parameter”, and it cannot be considered an unambiguous measure of karstification as, over time, for example, the density may decrease as dolines coalesce with each other, while the degree of karstification increases

  • The ratio of the area covered by dolines to the total area is the area ratio (%), which takes into account the size of the forms as well [51]

  • The area (A) of the doline can be recalculated to equivalent diameter (D), which is the diameter of the same area circle, according to the following formula:

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Summary

Introduction

The diagnostic landforms of karst terrains are dolines [1] This statement is a generalization that applies primarily (but not exclusively) to temperate karsts. Tropical karst areas, residual hills can be considered as the dominant forms; closed depressions are generally found in humid tropical areas as well, but their shape is usually more irregular. These irregular depressions are called cockpits [1]. In the case of tropical karsts, it is common that both positive and negative landforms are significant, the parallel study of depressions and hills has been started earlier in these areas [2]. To the best of our knowledge, no detailed morphometric study of positive landforms in temperate karst areas has been performed to date, the aim of this article is to raise this topic, mainly from a methodological point of view, and to stimulate further studies on this topic

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