Hadley Cell - as the air at the equator is heated, it expands, rises, and cools; condensation and precipitation occur. The constant intense heat in these equatorial areas ensures that this process is repeated often, thus causing high rainfall, which, along with continuous warmth, supports tropical rain forests. Rising air over the equator is just half of the convection current, however. The air, now dry, must come down again. Pushed from beneath by more rising air, it "spills over" to the north and south of the equator and descends over sub tropical regions (25 degrees to 35 degrees north and south of the equator), resulting in subtropical deserts.
Rain Shadows - When moisture-laden winds encounter mountain ranges, the air is deflected upward, causing cooling and high precipitation of the windward side of the range. As the air crosses the range and descends on the other side, it becomes warmer and increases its capacity to pick up moisture. Hence, deserts occur on the leeward (downwind) sides of mountain ranges (The dry region downwind of a mountain range is referred to as the rain shadow).
Rain shadow example: westerly winds, full of moisture from the pacific ocean, strike the Sierra Nevada Mountains in California. As the winds rise of the mountains, water precipitates out, supporting the lush forests on the western slopes. Immediately east of the southern Sierra Nevada, however, lies Death Valley, on of the driest regions in North America.