This graph describes the problem well. Given: time series with x (time [s]) and y (here discharge [m³/s]) V1 = a value in the same dimension / unit as the result of the integration, smaller than the integral. Here a small volume [m³] Needed: The y[m³/s] value, which leads to V1 if integration (minus the y values smaller) is started there. The V1 must be placed around the peak. I'm rather new to MATLAB. I think this must be an iterative process, where also a the fitting criteria (and the degree of exactness) must be set by the user. All in all an intersting task. Till now I haven't found a way to start; besides the pure integration.

Integrate over time return corresponding y value for predefined volume

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Fer Gug 2019-3-29

This graph describes the problem well.

Given:

time series with x (time [s]) and y (here discharge [m³/s])
V1 = a value in the same dimension / unit as the result of the integration, smaller than the integral. Here a small volume [m³]

Needed:

The y[m³/s] value, which leads to V1 if integration (minus the y values smaller) is started there.

The V1 must be placed around the peak.

I'm rather new to MATLAB.

I think this must be an iterative process, where also a the fitting criteria (and the degree of exactness) must be set by the user.

All in all an intersting task. Till now I haven't found a way to start; besides the pure integration.

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