ABSTRACT
The morphometry of twelve Swedish lakes was studied in order to test and discuss a mathematical model for lake bottom roughness applicable to sedimentological, morphological, hydrological and limnological problems. The aim of the study has been to test principles rather than to present quantitative data for specific lakes.
The paper presents
1. | a mathematical deduction of the three-dimensional surface area, | ||||
2. | an empirical definition of a relief factor (from hypsographic curves), | ||||
3. | an equation for the topographical roughness of a lake defined as the quotient between the real surface area and the map area and expressed as a relationship between a form factor and the relief factor. |
Examples are given to suggest further practical and theoretical benefits of the ideas presented.