The investigation that best provides data on soil erosion would be:
B. measure the depth of topsoil before and after rainstorms.
This option directly addresses changes in the topsoil layer as a result of rain, which is relevant to understanding soil erosion in the cleared forest area. Measuring the depth of topsoil before and after rainstorms allows the scientists to quantify the amount of soil being eroded due to runoff, thus providing valuable data on the extent of soil erosion occurring in that environment.