Before revision:  The computational cost of the deterministic approximation is significantly lower  but the diffusion approximation retains stochasticity and is able to reproduce relevant random features like variance, bimodality, and tail behavior that cannot be captured by a single deterministic quantity .
After revision:  The computational cost of the deterministic approximation is significantly lower but the diffusion approximation retains stochasticity and is able to reproduce relevant random features like variance, bimodality, and tail behavior .