A team at the University of California, Berkeley, took into account factors including the size of the dinosaur's geographic range, its body mass, growth pattern, age at sexual maturity and life expectancy. They also estimated the duration of a single generation and the total time that T. rex existed before extinction 66 million years ago.
The team also used a process called Damuth's law linking population to body mass: the bigger the animal, the fewer the individuals that could live at one time.
Some factors proved more difficult to estimate, meaning that the exact number of T. rex's to have lived remains uncertain.
A dinosaur on the move
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The researchers said the total population could be as little as 140 million or as much as 42 billion. The 2.4 billion figure is a middle value.
The researchers estimated that there were approximately 20,000 adults alive at any one time.
Key T. rex facts
The T. rex was among the largest carnivorous dinosaurs. Its skull measures around 1.5 meters (5 feet) long, with massive and muscular jaws and banana-sized teeth.
According to the new study, the average adult T. rex weighed in at 4717 kilograms (5.2 tons), a male African elephant by comparison weighs between 1,800 and 6,300 kilograms.
Beasts that could come back from extinction
Biodiversity is being lost so fast some scientists describe it as Earth's sixth mass extinction, an event to rival the end of the dinosaurs. But could our capacity for destruction be tempered by powers of resurrection?
Image: Imago/Science Photo Library/L. Calvetti
No fear of a T-Rex sequel
Five films on, Jurassic Park still has us captivated by the idea of humans coming face-to-face with our planet's most terrifying former inhabitants. But the fantasy of resurrecting a dinosaur from DNA in the belly of an amber-trapped mosquito is a long way from reality. Leading de-extinction scientists say making use of genetic material more than a million years old won't be possible.
Image: picture-alliance/United Archiv/IFTN
And then there were two
Since the last male northern white rhino — a 45-year-old called Sudan — died earlier in 2018, elderly females Najon and Fatu are the last of their kind. But scientists hope that embryos in deep freeze could bring the "functionally extinct" species back from the edge. They were created in vitro from the sperm of a deceased male northern white and the eggs of the closely related southern white.
Image: DW/Andrew Wasike
Not so dead after all?
When the dodo — a fatally trusting and tasty bird — disappered from Mauritius in the 17th century, few believed mankind could extinguish the life of an entire species. Only after 19th century naturalist Georges Cuvier proved extinction was possible did the dodo became a symbol of that destructive power. Now, the hunt is on for dodo DNA, in the hope we may also prove our power to resurrect.
Image: Imago/StockTrek Images/D. Eskridge
Fragile life
By the time the last Pyrenean ibex Celia died in 2000, scientists had already gathered and frozen her tissue cells. Three years later, a goat gave birth to Celia's clone, created by injecting her DNA into a goat's egg. In fact, dozens of hybrid eggs were implanted. Only seven animals became pregnant, and one carried to full term — and the resurrected ibex survived only a few minutes after birth.
Image: picture-alliance/blickwinkel/C. Wermter
Passage from the past
This is Martha, the last passenger pigeon, who died in 1914. The plump North American birds were a favorite for the plate, and hunting combined with deforestation wiped them out even as conservationists warned of their senseless demise. Revive & Restore, an organization that promotes "de-extinction," sees the passenger pigeon as the perfect model project to show resurrection science's potential.
Image: Donald E. Hurlbert, Smithsonian Institution
Numbat mother
European colonists in Australia put a bounty on the head of the thylacine, or Tasmanian tiger, a marsupial apex predator. The last known member of the species died in Hobart Zoo in 1936. Now, scientists have decoded the animal's entire genome from a joey preserved in ethanol, and hope to insert its genes into the DNA of its closest surviving relative, a diminutive marsupial called the numbat.
Image: Getty Images/AFP/T. Blackwood
Pleistocene Park
The most impressive species with any chance of making a comeback is the woolly mammoth, whose closest living relative is the Asian elephant. Scientists at Harvard University say the ice-age giants could play a role in slowing permafrost melt and, therefore, climate change. But their "Pleistocene Park" concept would need 80,000 animals to have any real impact — pure science fiction, say critics.
Image: Imago/Science Photo Library/L. Calvetti
One heck of a cow
The auroch once roamed the length and breadth of Eurasia, but hunting and habitat loss wiped them out close to 400 years ago. Yet their descendents — domesticated cattle — live on, and "back-breeding" programs have tried to resurrect the auroch by selecting for characteristics of the wild ancestor. An early German attempt resulted in Heck cattle, which have been reintroduced to parts of Europe.
Image: Imago/Nature Picture Library/P. Clement
Meet the ancestors
We once shared the planet with other human species, like the Neanderthal, with whom we even interbred. Many of us still carry Neanderthal DNA. But we are also prime suspects in their extermination. What would it be like to confront the relations we once wiped out? Scientists are growing homo sapiens-Neanderthal hybrid brain matter in the lab to examine the differences between them and us.
Image: picture-alliance/dpa
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Researchers estimate the T. rex had an average lifespan at 28 years and that the species existed on Earth for a total of 125,000 generations.
The dinosaur was spread over around 2.3 million square kilometers (890,000 square miles), with one T. rex roughly every 100 square kilometers.