Step 1: Understanding the Concept:
Agroforestry systems are classified structurally based on the combination of their biological components (woody perennials, agricultural crops, pasture/forage, and livestock).
Step 2: Detailed Explanation:
Let us define the primary agroforestry systems:
1. Agrisilvicultural system: Integration of agricultural crops and forest trees (Agri + Silvi).
2. Silvopastoral system: Integration of woody perennials (trees/shrubs) with pasture, forage crops, and livestock (Silvo + Pastoral).
3. Aqua-silviculture system: Integration of fish/aquaculture with forest trees (Aqua + Silvi).
4. Api-forestry system: Integration of beekeeping (apiculture) with forest trees (Api + Forestry).
The system described in the question integrates pasture and livestock with trees, which is a Silvopastoral system.
Step 3: Final Answer:
The land use system integrating pasture, livestock, and woody perennials is a Silvopastoral system.