Can plants die of "Old age?"

So we know humans and animals have a set amount of time to live. But what about plants? It seems that they should live forever (the ones that live year-round, that is).

{i]Britannica* says this: “Plants grow old as surely as do animals; however, a generally accepted definition of age in plants has not yet been realized. If the age of an individual plant is that time interval between the reproductive process that gave rise to the individual and the death of the individual, the age attained may be given readily for some kinds of plants but not for others.”

A Table is also included that gives verified ages for trees from Bristlecone Pine at 4500 years down to White Pine at about 500 years. Elm trees, I think are relatively short lived, probably around 75 years tops. Any forestry experts around.

Of course there are annual plants that have to be reseeded every year. Even perennials die sooner or later.

Cecil has written about this:

http://www.straightdope.com/classics/a900427.html