Rating curve fitting in Julia

RatingCurves.jl provides exhaustive high-performance functions for fitting power-law rating curves in Julia, such as:

• Fitting power-law rating curve to gaugings by minimizing the total sum of squares in the log space.
• Fitting compound power-law rating curve to gaugings by minimizing the total sum of squares in the log space.
• Computing the parameter uncertainties.
• Computing the discharge prediction uncertainty.

The power-law level-discharge relationship is given as folows:

\[q = a \, (h-b)^c.\]

The compound power-law level-discharge relationship for two segments is given as folows:

\[q = \begin{cases} a_1 \, (h-b_1)^{c_1} & \text{ if } h < k, \\ a_2 \, (h-b_2)^{c_2} & \text{ if } h \geq k. \end{cases}\]