Step 1: Understanding \(\beta\)-diversity.
\(\beta\)-diversity refers to the variation in species composition between two ecological communities. It is determined by both nestedness (the sharing of species between communities) and species turnover (the replacement of species between communities).
Step 2: Explanation of each option.
(A) Nestedness refers to the pattern where species in one community are a subset of species in another community. However, \(\beta\)-diversity also involves species turnover.
(B) Species turnover is a key factor in \(\beta\)-diversity but does not alone account for all the variations between communities.
(C) Both nestedness and species turnover are key contributors to \(\beta\)-diversity, making this option correct.
(D) This statement is incorrect as both nestedness and species turnover contribute to \(\beta\)-diversity.
Step 3: Conclusion.
The correct answer is (C), as both nestedness and species turnover affect \(\beta\)-diversity.