Abstract

Various methods of time series analysis have been used in studies of karst hydrological systems. Among these methods, correlation and spectral analysis have had an important role. The correlation analysis most often has been based on determination of correlation coefficients and correlation functions. Partial correlation functions (PCF) are a mathematical tool of the correlation analysis which practical applicability in karst hydrology is insufficiently explored. In this study, the correlation and spectral analysis are applied on the catchment of Rumin Springs located in the Dinaric karst area between Croatia and Bosnia and Herzegovina. The available daily data are the rainfall, air temperature and relative humidity from three locations, as well as the discharge from two springs. The periods before and after the construction of HPP Orlovac in 1973 are analyzed. The basic hypothesis is that a difference between PCF obtained for two neighboring karst springs describe a difference in their functioning. The results of application show that PCF can resolve some ambiguities concerning the effects included in correlation functions and can provide the additional information that cannot be obtained by other methods of time series analysis. The obtained results are mostly in accordance with the present knowledge, and they support the existing hypotheses about the functioning of Rumin Springs.

Highlights

  • Karst is a terrain with distinctive landforms and drainage

  • autocorrelation function (ACF) of spring discharge provides the information about the storage capacity of karst system

  • The correlation analysis usually has been based on the determination of cross-correlation coefficients, autocorrelation functions and cross-correlation functions

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Summary

Introduction

Karst is a terrain with distinctive landforms and drainage. A weathered zone of enhanced porosity named epikarst is situated at surface, while networks of fractures, fissures and conduits of various sizes and forms exist in underground, which all together represent a complex and very dynamic hydrological system [1,2,3,4]. The basic characteristic of karst terrains is a bimodal behavior. Concentrated turbulent flow takes place in conduits, while diffuse laminar flow prevails in fractures and fissures. These two hydrodynamic regimes can be registered in karst spring discharge as quick flow and baseflow components. The network of conduits controls the quick flow component, whereas the network of fractures and fissures controls the baseflow component of discharge [5]

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