Summary:

### Vertical Root Distribution

The root fraction (r_i) in each soil layer depends on the plant functional type and is calculated using the following equation:

r_i = (β^(z_h,i-1 * 100) - β^(z_h,i * 100)) for 1 ≤ i ≤ N_levsoi

Where:
- z_h,i (m) is the depth from the soil surface to the interface between layers i and i+1
- β is a plant-dependent root distribution parameter adopted from Jackson et al. (1996)

The table provides the β values for various plant functional types, including different types of trees, grasses, and crops.

The equation and the table demonstrate how the vertical root distribution is modeled based on the plant functional type, which is an important factor in the ecosystem and land surface modeling.