To determine the correctness of the given statements regarding the Ditch and Furrow method for artificial recharge of groundwater, let's analyze each statement individually:

1. Statement 1: In the Ditch and Furrow method, water is distributed to a series of ditches or furrows.

This statement is correct. The Ditch and Furrow method involves creating a network of ditches or furrows into which water is directed. This technique is used to increase the infiltration of surface water into the ground, thereby recharging the aquifer. The water is distributed across these furrows to cover a larger area and facilitate groundwater recharge.

2. Statement 2: The ditches and furrows are shallow, flat bottomed, and closely spaced.

This statement is also correct. The design of the ditches and furrows is crucial for effective water management. They are usually shallow and flat-bottomed, which helps in slowing down the water movement, allowing more time for the water to percolate into the ground. The spacing being close allows covering more area and enhances the recharge process.

Both statements correctly describe the features and purpose of the Ditch and Furrow method. Therefore, the correct answer is:

Both 1 and 2

The Ditch and Furrow method is commonly used in regions with suitable topography for efficient redistribution of surface water for groundwater recharge. Its simplicity and effectiveness make it a suitable method for areas prone to water scarcity.