||Disasters in Earth Nature Systems (in river basins and in coastal zone) are generated the systems by influence under pressure and impacts of external systems. The water related disasters include the most of hazardous processes on land and sea as follows: floods, avalanches, droughts, landslides, debris-flows, erosion, abrasion, and others. The external systems are not yet able to let know about the Time, Place, and Power of future disasters all together. However, Earth systems allow doing it because of their property to delay on exterior power. The proposed and discussed is the Moving Digital Earth (MDE) technology for outstripping estimation of the Earth Nature Systems response on exterior pressure and impacts. The MDE uses only the knowledge of current System's state and methods of the Digital Systems Analysis (DSA) by high-speed computing.