Step 1: Understanding the Concept
In ecological succession, communities change step by step from the pioneer to the climax stage.
Step 2: Statement I
The species composition keeps changing as new species replace earlier ones, so the diversity changes. This statement is correct.
Step 3: Statement II
From pioneer to climax, both the number of species and the number of organisms increase, along with biomass. This statement is correct.
Step 4: Conclusion
Both statements are correct.
Final Answer:
Both statements are correct.
\[ \boxed{\text{(A) }\text{Both Statement I and statement II are correct.}} \]