Air pressure is the mass of air above a given area. This causes the air pressure to decrease rapidly as well. It is obvious that both must move, but the warm air cannot rise by itself and therefore cannot be credited with pulling the cold air in behind it. Air moving at the bases of the three major convection cells in each hemisphere north and south of the equator creates the global wind belts. However, each range of air pressure offers specific advantages that another does not.
Take a look at this picture... You've asked why air in a high-pressure system sinks? Air Pressure. Air is a fluid, and it has mass. The atmosphere thins rapidly as you move toward space. When the pressure is low, the air is free to rise into the atmosphere where it cools and condenses. Gravity gives weight to that mass.

Air flowing from areas of high pressure to low pressure creates winds. Figure B: Equilibrium of Pressure/Temperature . As the cold air moves due to the difference in pressure at the bottom it creates a reduced pressure at the top resulting in the warm air being pulled in the replace it.
High pressure in the atmosphere causes the air to compress and sink, leading to clear skies and calm conditions. High and low pressure readings are an indicator of how much weight the atmosphere is pushing down on a particular area. Helpful Hint: Private residential wells use a pressure tank and switch to control the water pressure. Air flows from high pressure to lower pressure. If not provided with any external agency then yes! Fishermen will claim that a sudden shift to low pressure offers better fishing conditions than those of high pressure. Warm air rises, creating a low pressure region, and cool air sinks, creating a high pressure zone. In areas where pressure becomes too high, pressure reducing stations transfer high-pressure water to low-pressure areas, maintaining manageable levels throughout the system. You can think of the tropopause as a "lid" or boundary that does not allow air …

This condensation forms clouds made of water droplets and ice crystals around dust particles in the sky. But if you provide some external agency like compressors, then air can flow from low pressure to high pressure. Divergence is an atmospheric condition that exists when there is a horizontal net outflow of air from a region. When air diverges just below the top of the troposphere, air from below is forced to rise up and take its place.

The differences in air pressure allow for changes in fishing conditions. Air that has more mass than air surrounding it will sink.