But LeMaverick does have a good point.
The flood of this magnitude would have destroyed most plant life. Much of the earth remained underwater for almost a whole year (less than 11 months).
Things just would grow immediately after the water receded. It would be more months before anything can grow, let alone planting and harvesting. There would have been widespread crop fail. With the entire world devastated, there should have been a long break in fauna. Beside, what would the animals eat, since there are no plants for the herbivore animals eat? And since there are pair of each animal, what did the carnivorous animals eat?
Also, as I have repeated in the timing of the Noah's flood is wrong. It is set in very late 22nd century (2104 BCE to precise). There is no break in population and civilisation at this period. Even if Noah's sons began having kids after the flood, it would centuries for it to refill Mesopotamia, let alone the rest of the world. Cities still stood. The Sumerian civilisation (3rd dynasty of Ur) was undergoing a Renaissance at that time. Though, they do mention flood in their tablets before their time, this catastrophic deluge didn't happened in their time. Other Sumerian cities (contemporaries to the Ur) also didn't record such a flood in their time. Before the Ur's Renaissance, Akkadians were prominent in Mesopotamia, and the generations of Akkadians didn't record any such flood in their times too.
Egypt was undergoing 1st Intermediate period at that time, but their civilisation didn't stop for almost a year. The Minoan civilisation were building palaces around that time, which contemporary to Cycladic civilisation in the Aegean Sea, and archaeological evidences showed that none of them were destroyed by flood around that time.
There are no flood of any such magnitude in the entire 2nd half of 3rd millennium. If the Noah's flood did happened in this period, then when? It can't happened earlier or later, because then it would be out of sync with the reign of Saul, David and Solomon, and it would also throw the falls of Samaria (722 BCE) and Jerusalem (587 or 586 BCE) right off the chart.
You also got to consider the Biblical timing. If we are to use the Jewish calendar, the flood began on the 17th day of the 2nd month, and when Noah left it, it was on 1st day of the 1st month (which is in Sept-Oct on the Gregorian calendar) of the following year. Nothing would grow at this period, because this is usually harvest time in the Middle East. More flooding would happen, between March and May, particularly the Tigris-Euphrates river.