General comments

Very good hydrological research of large impact. Please, follow my suggestions to improve the final version.

Specific comments

Lines 68-71. Insert new and recent literature for fissures and pipes in karstic dolostones and limestones:

- Medici, G., Munn, J.D., Parker, B.L. 2024. Delineating aquitard characteristics within a Silurian dolostone aquifer using high-density hydraulic head and fracture datasets. Hydrogeology Journal 32(6), 1663-1691.

- Giese, M., Reimann, T., Bailly‐Comte, V., Maréchal, J. C., Sauter, M., Geyer, T. 2018. Turbulent and laminar flow in karst conduits under unsteady flow conditions: Interpretation of pumping tests by discrete conduit‐continuum modeling. Water Resources Research, 54(3), 1918-1933.

Lines 112-113. More detail (e.g., possible ranges and maximum value etc etc) here or in the methodology on KGE and NSE coefficients.

Line 114. The aim is clear, but you need to specify the 3 to 4 specific objectives of your research by using numbers (e.g., i, ii, iii).

Line 193. Here you can insert the necessary methodological details for KGE and NSE coefficients.

Lines 495. Four points in the discussion. Maybe, four objectives to disclose in the introduction?

Figure and tables

Figure 1. Increase graphic resolution or make the figures larger.

Figure 4. Same here, increase graphic resolution or make the figures larger.

Figure 3. Make numbers and letters a bit larger.

Figure 7. I would provide more detail in the introduction on the definitions of the climate. What does it mean “temperate karst”. Semi-arid, humid?

Figure 8. Please, provide more detail on the description of the results for the (i) R2, (ii) NSE and (iii) KGE values which look good. R2 maybe a bit low, but this is ok.

Figure 9. Move Figure 9c below and make the figure larger.

I think this manuscript provides an interesting study into the baseflow in global karst regions. However, there are several issues that merit further clarification and in-depth analysis. 

1. The baseflow separation methods seem to generate distinct BFIs and event contrasting trends in certain time periods. How do you tackle the different separation results?

2. In Figure 7, the authors compared BFI in karst regions and the global average. However, the global average is impacted by the coverage ratio of karst regions. Consider replace the global mean with non-karst area mean.

3. Figure 11 shows the factor impact on BFI, but this does not reveal if the impact is positive or negative. Consider including analysis such as SHAP.