Step 1: General knowledge of biomes.
Different terrestrial biomes vary in biodiversity depending on climate, productivity, and habitat complexity.
Step 2: Evaluate each option.
- Tropical forest: Known for being the most species-rich biome. They have warm temperatures, high rainfall, and layered vegetation, supporting maximum biodiversity including insects, birds, mammals, and reptiles.
- Savana: Grass-dominated biome with scattered trees. Animal diversity is lower than tropical forests.
- Chaparral: Found in Mediterranean climates, has shrubs and small mammals, not high in animal diversity.
- Tundra: Harsh cold environment with very limited diversity.
Step 3: Conclusion.
Tropical forests are the most biodiverse terrestrial biome.
Final Answer:
\[
\boxed{\text{Tropical forests have the highest animal diversity.}}
\]