# Adaptation of the visibility graph algorithm to find the time lag between hydrogeological time series

## TL;DR

This paper introduces an adapted visibility graph algorithm to accurately estimate the time lag between hydrogeological time series, demonstrated through simulations and real-world data analysis.

## Contribution

The paper presents a novel adaptation of the visibility graph algorithm specifically for determining time lags in hydrogeological time series.

## Key findings

- Effective in estimating time lags in simulated data
- Successfully applied to real hydrogeological dataset
- Provides a new tool for hydrogeologists to analyze time series

## Abstract

Estimating the time lag between two hydrogeologic time series (e.g. precipitation and water levels in an aquifer) is of significance for a hydrogeologist-modeler. In this paper, we present a method to quantify such lags by adapting the visibility graph algorithm, which converts time series into a mathematical graph. We present simulation results to assess the performance of the method. We also illustrate the utility of our approach using a real world hydrogeologic dataset.