# Kodaira dimension of algebraic fiber spaces

Let $\pi:X \longrightarrow C$ be a smooth projective family of varieties over a curve $C$. Fix a point $0\in C$ and assume the fiber $X_{0}$ has nonnegative Kodaira dimension. Is it possible to prove that the generic fiber has nonnegative Kodaira dimension?(without using invariance of plurigenera)

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