The open arenas of grassland and desert make up half of all land on our planet. In these exposed habitats, predators like cheetahs, bald eagles and lions can usually see their prey. But it works both ways: their prey can see them too. With nothing but open vistas, the element of surprise is hard-won, and predators must make their own opportunities.

In Los Angeles, a remarkable experiment is underway; the police are trying to predict crime, before it even happens. At the heart of the city of London, one trader believes that he has found the secret of making billions with math. In South Africa, astronomers are attempting to catalogue the entire cosmos. These very different worlds are united by one thing - an extraordinary explosion in data. Meet the people at the forefront of the data revolution, and reveals the possibilities and the promise of the age of big data.

25 million years ago the biggest land mammals of all time, the indricotheres, stalked the Earth. Up to seven metres tall and weighing 15 tonnes, adults were too big to be eaten by any predator of the time. Only in the first few years of its life was indricotheres vulnerable. The programme follows the fate of a calf from his traumatic birth to see whether it can survive droughts, killer hogs and hyaenodon - a predator the size of a rhino with jaws that could crush a rock.

Around 30% of the land's surface is desert, the most varied of our ecosystems despite the lack of rain. Unravel the secrets of desert survival and experience the ephemeral nature of this dynamic environment. Watch Saharan sandstorms nearly a mile high and desert rivers that run for a single day. In the Gobi Desert, rare Bactrian camels get moisture from the snow. In the Atacama, guanacos survive by licking dew off cactus spines. In the USA, the brief blooming of Death Valley triggers a plague of locusts 65km wide and 160km long. A unique aerial voyage over the Namibian desert reveals elephants on a long trek for food and desert lions searching for wandering oryx.

Travelling forward in time to 30,000 years ago, it's the middle of an ice age. The landscape is dominated by mighty mammoths, living side-by-side with woolly rhinos, giant deer and two separate species of human. The programme follows the fate of a herd of mammoths in their annual struggle against the harsh ice-age conditions. Every summer they spend on the grassy plains of what will one day become the bottom of the North Sea, but every winter they are forced to head for the less exposed valleys further south. It is a journey fraught with danger: mammoths can get trapped in frozen bogs, and the herd must run the gauntlet of hunters like cave lions and the deadly Neanderthals.

SETTING: 80 million years ago in the South American forests of Patagonia. The world is a very dangerous place for tiny hatchlings like Alpha, a female saltasaur. Follow Alpha along the road of her growth years, from before her birth through asolescence and on to adulthood, as she learns how to survive and beat the odds.