<p>Precipitation is the most important climatic factor that directly impacts the hydrological cycle, particularly in debit fluctuations. This study explored the relationships between precipitation and runoff, including their temporal variations and spatial distribution. Therefore, daily precipitation data from 160 synoptic and rain gauge stations and data from 12 hydrometric stations were used for 12 Karoon sub-basins of the Karoon, with different statistical periods. Linear and nonlinear correlation equations were calculated for 4130 cells, with an area of 4 km². To investigate the temporal relationships between variables, cumulative runoff coefficients were determined based on runoff, precipitation and the area of each sub-basin. The results showed that nonlinear conversions had no effect on the relationships between precipitation and runoff. The relationship between these variables was linear. Meanwhile, this linear relationship varies in different basins. Factors such as altitude, type of precipitation and temperature influence the correlation between precipitation and runoff. Additionally, the physical characteristics of the basins, especially the tectonics, human factors like dam construction and inter-basin water transfer, significantly impact the relationships between these variables.</p>