The owner of a thing owns also all its products and accessions.
Chapter 3 - Rights of Owners
California Civil Code — §§ 732-733
Sections (2)
When, in consequence of a valid limitation of a future interest, there is a suspension of the power of alienation or of the ownership during the continuation of which the income is undisposed of, and no valid direction for its accumulation is given, such income belongs to the persons presumptively entitled to the next eventual interest.