PART of the recent optimism in world markets rests on the belief that China’s fiscal-stimulus package is boosting its economy and that GDP growth could come close to the government’s target of 8% this year. Some economists, however, suspect that the figures overstate the economy’s true growth rate and that Beijing would report 8% regardless of the truth. Is China cheating?

Economists have long doubted the credibility of Chinese data and it is widely accepted that GDP growth was overstated during the previous two downturns. In 1998-99, during the Asian financial crisis, China’s GDP grew by an average of 7.7%, according to official figures. However, using alternative measures of activity, such as energy production, air travel and imports, Thomas Rawski of the University of Pittsburgh calculated that the growth rate was at best 2%. Other economists reckon that Mr Rawski was too pessimistic. Arthur Kroeber of Dragonomics, a research firm in Beijing, estimates GDP growth was around 5% in 1998-99, for example. The top chart, plotting the official growth rate against estimates by Dragonomics, clearly suggests that some massaging of the government statistics may have gone on. The biggest adjustment seems to have been made in 1989, the year of political protests in Tiananmen Square. Officially, GDP grew by over 4%; Dragonomics reckons it actually declined by 1.5%.

China’s growth in the first quarter of this year has led some to conclude that the government is up to the same old tricks. According to official figures, GDP was 6.1% higher than a year earlier. Yet electricity production in the first quarter was 4% lower than it had been a year earlier; in comparison, production grew by 16% in the year to the first quarter of 2008. In the past, GDP and electricity output have moved broadly together, although it is not a one-to-one relationship (see bottom chart). But the gap between the two lines is now wider than it has ever been. Given that power statistics are less likely to have been tampered with than politically sensitive GDP figures, is this evidence that the latter have been fiddled?

Probably not. Paul Cavey, an economist at Macquarie Securities, argues that the discrepancy is explained by the fact that energy-guzzling heavy industries, such as steel and aluminium, bore the brunt of the slowdown last year. Mr Cavey calculates that the metals industry accounted for 40% of the growth in electricity consumption in 2001-07, but only 16% of the increase in industrial production. Steel output fell by more than 10% in the year to the fourth quarter, so it is hardly surprising that energy use dropped.

Distrust of the GDP numbers has prompted Capital Economics, a research firm based in London, to create its own proxy of economic activity, which includes electricity output, domestic freight volumes, cargo traffic at ports, passenger transport and floor area under construction. It suggests that GDP growth slowed to only 4% in the year to the first quarter. However, it tracks mostly industrial activity, and thus excludes two-fifths of the economy, most notably services, which are growing faster.

Then there are government tax revenues. These have fallen by 10% over the past year, compared with a surge of 35% in early 2008, suggesting that incomes and output have tumbled. But Stephen Green, an economist at Standard Chartered, says that revenues were inflated in early 2008 by a sharp rise in taxes from the boom in land sales, which has since subsided. Another possible distortion is that local officials may be hiding tax revenue to make their finances appear worse, in order to get more money from Beijing to finance infrastructure projects.

Overall, Dragonomics’s Mr Kroeber thinks that GDP growth in the year to the first quarter of 2009 was not significantly overstated. One reason why others are more suspicious is the fact that the National Bureau of Statistics (NBS) does not publish quarterly GDP figures as developed economies do; its year-on-year changes give it more scope to smooth growth rates (for example, output probably did stall over the past two quarters). To be fair, many developing countries do this as well. One reason is that seasonal adjustment is tricky in such countries where the shift from agriculture to industry changes the pattern of seasonality over time, says Mr Kroeber.

And for all today’s misgivings, Beijing’s growth estimates consistently proved to be too low until recently. One of the quirks of Chinese data has long been that the provinces reported higher numbers than the central government did—a phenomenon that was put down to the fact that local officials inflated growth rates in order to get promoted. Yet the NBS GDP figures have almost always been revised upwards. For example, growth in 2007 was first reported as 11.4%, but in January it was marked up to 13%.

The NBS has improved its data-gathering methods in recent years, by extending its coverage of services, for example. This month Beijing also introduced new penalties for officials who falsify statistics. But the real test is whether the government itself is prepared to publish politically embarrassing bad news. There are encouraging signs that it is becoming more open. On May 14th an essay on the NBS website by Xu Xianchun, the bureau’s deputy director, was surprisingly frank about some of the flaws in Chinese statistics. Mr Xu admitted, for example, that the retail-sales numbers include some purchases by companies and the government, which should not be counted as consumption. He estimated that consumer spending in the first quarter grew by 9%, compared with the 15% increase reported for retail sales.

Andy Rothman, an economist at CLSA, a regional broker, believes that Chinese statistics are much more trustworthy than they used to be. This is partly because there are alternative numbers to go on; CLSA, for example, produces its own purchasing-managers’ index. There are also more private-sector economists keeping tabs on China than there were a decade ago. The more eyes there are on China, and the more crucial its economic performance becomes for the rest of the world, the harder it is for officials to tamper with the speedometer.