The study cited by tokenadult says: "Fluoxetine treatment increased synaptic plasticity.. acted through local brain-derived neurotrophic factor." Brain-derived neurotrophic factor is a protein that facilitates plasticity, and there are a number of natural methods for boosting production of BDNF:
eat less; eat even less; fast once in a while; exercise regularly; eat turmeric; eat fish (or take a DHA supplement); do stuff with your brain.
I wish I had studies top of mind to cite, but most of this is summarized in a book called Power Up Your Brain: The Neuroscience of Englightenment (written by a neuroanatomist and a shaman). I read it after going on a 10-day Vipassana retreat and thinking that meditation is noninvasive neurosurgery. Effects differ depending on the style of meditation, but they all strengthen a fundamental pattern of brain activity, be it attentional control, physical awareness, emotional nonreactivity, compassion, etc, and there's plenty of studies documenting the neuroanatomical changes that result.
If you're interested in brain plasticity, look up Michael Merzenich, the UCSF research who coined the term neuroplasticity, on YouTube or TED.