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Kawaguchi and Silverman conjectured that if $P \\in X({\\overline{\\mathbf Q}})$ is a point with well-defined forward orbit, then the growth rate of the height along the orbit exists, and coincides with the first dynamical degree $\\lambda_1(f)$ of $f$ if the orbit of $P$ is Zariski dense in $X$.\n  In this note, we extend the Kawaguchi-Silverman conjecture to the setting of orbits of higher-dimensional subvarieties of $X$. 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