The phrase "according to some projections" is correct and usable in written English.
It can be used when referencing forecasts or estimates made by analysts, researchers, or organizations regarding future events or trends.
Example: "According to some projections, the economy is expected to grow by 3% next year."
Alternatives: "based on certain forecasts" or "as estimated by some analysts".
In 25 years, according to some projections, they could make up a quarter of the population.
Fifty years from now, according to some projections, each hectare will have to cater for 43.
According to some projections, its economy may grow as fast as China's.
According to some projections, 900 communities in the south-west could go dry by the middle of the century if there is a serious drought.
Resistance could lead to 10 million deaths annually by 2050, and cost the global economy $100 trillion, according to some projections.
Depending on the success of a handful of smaller parties and the results in the individual districts, the Kremlin could control a two-thirds majority, according to some projections.
The market for such e-commerce platform software, according to some analysts' projections, could grow to as much as $100 billion over the next decade.
The network's entertainment division, which once made as much $800 million in a year, is now on the wrong side of the ledger — probably to the tune of about $300 million, according to some analyst projections.
Apple didn't publicly release pre-order numbers for the initial day of iPhone 5s and 5c sales last year, but estimates pegged them at somewhere around 2.2 million according to some analyst projections.
The upper bounds of the truncation errors of these new orthogonal projections according to some prescribed norm are proved and then verified numerically with some test examples.
And there are losers: general practitioners and hospitals, with each doctor standing to lose at least $2,000 a year, according to projections, and some doctors reporting that their costs are already much higher.
