When teeth are lost, the surrounding bone loses its purpose and thus tends to regress and resorb away.
When teeth are present, the bone serves to hold the teeth in place.
In this respect, your jawbone behaves very similar to muscles. If muscles are used constantly, then they remain strong and present. However, if you stop using any particular muscle, it would slowly waste away. This is called Atrophy.
Similarly, bone requires stimulation from the teeth to continue to remain dense and strong. When teeth are lost, the jawbone surrounding the lost tooth tends to become atrophic, less dense, and so resorbs away, losing its form.
Over time, the jawbone loses its shape and density, becoming very thin and weak. This causes problems of instability and retention with dentures or loss of cosmetics with a bridge forming a gap underneath it. Since the atrophic process occurs very slowly, a person may not realise this is happening until they begin to suffer the consequences, such as a poor fitting or unretentive denture.
Hence, continuous stimulation is required by either teeth or treatment such as dental implants. Scientific studies have proven that the constant chewing forces being applied to teeth are required to preserve the jawbone and keep it strong.
This is one of the main reasons why so much focus has been given to innovative tooth replacement treatments like dental implants.