Before revision:  A comparison with the sliding window Pearson correlation of the raw time series in several stationary and non-stationary set-ups do not indicate any  mathematical advantages of the proposed metric over commonly used correlation methods . Additionally, the results of our analysis show that a metric based on derivatives performs worse in a realistic scenario of stationary network detection .
After revision:  A comparison with the sliding window Pearson correlation of the raw time series in several stationary and non-stationary set-ups do not indicate any mathematical advantages of the proposed metric over commonly used correlation methods .