Abstract

The theory of critical slowing down (CSD) suggests an increasing pattern in the time series of CSD indicators near catastrophic events. This theory has been successfully used as a generic indicator of early warning signals in various fields, including climate research. In this paper, we present an application of CSD on water level data with the aim of producing an early warning signal for floods. To achieve this, we inspect the trend of CSD indicators using quantile estimation instead of using the standard method of Kendall’s tau rank correlation, which we found is inconsistent for our data set. For our flood early warning system (FLEWS), quantile estimation is used to provide thresholds to extract the dates associated with significant increases on the time series of the CSD indicators. We apply CSD theory on water level data of Kelantan River and found that it is a reliable technique to produce a FLEWS as it demonstrates an increasing pattern near the flood events. We then apply quantile estimation on the time series of CSD indicators and we manage to establish an early warning signal for ten of the twelve flood events. The other two events are detected on the first day of the flood.

Highlights

  • Various fields of scientific works are suggesting the existence of early generic warning signals as an indicator when systems are approaching their critical tipping points [1]

  • Through getting an optimum quantile, we will gain thresholds that will justify the significant increase in the critical slowing down (CSD) indicators and date extraction for the early warning system (EWS)

  • The first part will discuss the results of CSD indicators from the water level data of Kelantan River

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Summary

Introduction

Various fields of scientific works are suggesting the existence of early generic warning signals as an indicator when systems are approaching their critical tipping points [1]. The climate is one of the complex dynamical systems having tipping points. The suggested generic indicators, when the climate gets close to its critical tipping point, are related to the theory of critical slowing down (CSD) [3]. The theory of CSD explains that as a tipping point is approached, an increasing pattern in the time series of the CSD indicators is expected to occur. Two possible CSD indicators of early warning signals are increased in variance [4] and spectral density [5]

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