The discharge of a river traveling through a temperate region will typically increase downstream. For arid regions, the discharge decreases downstream.
Discharge is the volume of water of a river that flows through a point per seconds.
In a temperate region, as a river flows downstream, more bodies of water from different sources joins together with it.
Rivers generally tend to flow into natural basins which are located downstream.
These basins are located at very low elevation.
As more bodies of water collects together, the volume of the water will increase and so is the discharge too.