Final answer:
The Sahara Desert formed the natural southern border of the Roman Empire, presenting a formidable barrier that contained the empire's southern expansion.
Step-by-step explanation:
The natural barrier that formed the southern border of the Roman Empire is the Sahara Desert. The Roman Empire at its height under Emperor Trajan in 117 CE encompassed the Mediterranean region, including parts of Northern Africa. However, the vast and inhospitable Sahara Desert presented a natural boundary that limited the expansion of Roman control and influence to the south. Thus, the Sahara stood as the southern edge against which the Romans consolidated their power, with borders fortified by intricate systems of fortifications, known as the limes, which included permanent garrisons and fortresses.