His friend died about a month into the journey and Mr Alvarenga apparently survived on a diet of fish, birds and turtles, and by drinking turtle blood and rainwater.
Drifting westward
In the tropical Pacific, the trade winds create some of the strongest currents in the world. These currents move water, and with it plastics, plankton and castaways, westward.
Some have cast doubt on the authenticity of Mr Alvarenga's story but my research website, adrift.org.au, shows that flotsam that starts off on the west coast of Mexico will pass through the Marshall Islands within 14 to 20 months.
This agrees well with how long Mr Alvarenga says he had to live on his boat, feeding on fish, birds and turtles.
The circulation pattern of the Pacific Ocean, therefore, seems to vindicate his claims of being lost at sea for so long. The tropical Pacific is also known for its richness in marine life, with plenty of fish and birds so he would have had access to plenty of food.
Although Mr Alvarenga is not to be envied for his trip, he was lucky in one way. The Marshall Islands are tiny atolls in a vast ocean. Stumbling upon a beach in that area is like finding a water well in the Australian Outback.
My website shows that, if his boat had not been thrown on a remote beach in the Marshall Islands, it is likely that it would have continued moving westward towards the Philippines.
But before reaching the Philippines coast, the currents would have taken him on a giant u-turn, northeastward and back into the central Pacific.
Caught in the rubbish
In the end, it is likely that his boat would have ended up in the great garbage patch of the North Pacific.
This area, roughly between Hawaii and the California coast, is where much of the plastics, ghost nets and other floating debris that people throw in the ocean ends up.
The garbage patches (there are five of them in the world, two in the Pacific, two in the Atlantic and one in the Indian Ocean) are the sinkholes of the ocean. Water at the surface slowly sinks to hundreds of metres' depth. Everything that's too buoyant, like plastics or fishing boats, stays behind for centuries to millennia.
The existence of these garbage patches is a disgrace. But unfortunately, it will be very hard to clean them up.
Most of the plastics in the patches are small, roughly the same size as some of the plankton.
There are currently no viable plans to remove the plastics but keep the plankton. Let alone do it in an environmentally sustainable way, without using an enormous amount of dirty diesel to power a fleet of ships.
That is why the focus of the marine plastic problem should not be about cleaning it up, but about preventing the plastics from getting in the ocean in the first place.
Drifting buoys
Much of what we know of the surface ocean circulation comes from buoys that, just like plastic or castaway fishermen, drift with the currents.
But the buoys have an added tracking advantage. They have GPS and a satellite telephone, and send short text messages with their position every six hours. So the buoys are like Twitter feeds from the ocean.
Most of the buoys also end up in the garbage patches. Oceanographers like me use the trajectories of the buoys to piece together how water would move from one location to the other.
It is important to understand how heat, nutrients, fish and plastics move through our ocean basin.
And, as an interesting side to our research, it also helps understand what has happened to the poor fishermen who become adrift.
