Step 1: Understanding the Question:
This question tests knowledge of Leaf Area Index (LAI).
Step 2: Detailed Explanation:
LAI is defined as the total leaf area per unit ground area.
\[
LAI = \frac{\text{Total leaf area}}{\text{Ground area}}
\]
Both numerator and denominator have units of area (\(\mathrm{m}^2\)), so LAI is dimensionless.
\(\mathrm{m}^2 \mathrm{g}^{-1}\) (A): Specific leaf area (SLA).
\(\mathrm{g} \mathrm{m}^{-2}\) (B): Mass per unit area.
\(\mathrm{g} \mathrm{g}^{-1}\) (C): Mass ratio (dimensionless, but not LAI).
Thus, LAI is dimensionless.
Step 3: Final Answer:
Thus, the unit of LAI is dimensionless, which corresponds to option (D).
[0.5cm]