There are people who have developed mathematical models to track ocean debris such as that from the disappearance of Malesia Air 370. These models forecast
where a piece of debris may be found if acted on the winds, currents, sea states and other factors existing at the time of disappearance. Or, conversely. if some debris is found, from where it could have conceivably originated. There was work
done on this in Germany
regarding MS370 and at the University of Hawaii
regarding the case of a fisherman who claimed to have drifted in an open boat
from the coast of Central American to the Marshall Islands
where he turned up. In both cases the data developed indicated that it was entirely possible the debris found near Africa
came from MS370 and that the fisherman's story as to how he got to the Marshal Islands was plausible.
In both cases these experts had weather
and sea state date from actual records for the periods and areas in question. Since your research
is concerned with ancient times, this data would have to use best estimates as to the conditions existing at that time.