The IEA estimates that the decline in oil production in existing fields is now running at 6.7 per cent a year compared to the 3.7 per cent decline it had estimated in 2007, which it now acknowledges to be wrong.
"If we see a tightness of the markets, people in the street will see it in terms of higher prices, much higher than we see now. It will have an impact on the economy, definitely, especially if we see this tightness in the markets in the next few years," Dr Birol said.
"It will be especially important because the global economy will still be very fragile, very vulnerable. Many people think there will be a recovery in a few years' time but it will be a slow recovery and a fragile recovery and we will have the risk that the recovery will be strangled with higher oil prices," he told The Independent.
In its first-ever assessment of the world's major oil fields, the IEA concluded that the global energy system was at a crossroads and that consumption of oil was "patently unsustainable", with expected demand far outstripping supply.
Oil production has already peaked in non-Opec countries and the era of cheap oil has come to an end, it warned.
In most fields, oil production has now peaked, which means that other sources of supply have to be found to meet existing demand.
Even if demand remained steady, the world would have to find the equivalent of four Saudi Arabias to maintain production, and six Saudi Arabias if it is to keep up with the expected increase in demand between now and 2030, Dr Birol said.
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