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The phrase "according to recent estimates" is correct and usable in written English.
You can use it when referencing data or information that has been gathered or calculated by experts or organizations in a specific field.
Example: "According to recent estimates, the population of the city has increased by 10% over the last five years."
Alternatives: "based on recent estimates" or "as per recent estimates".
Exact(60)
According to recent estimates, more than 300 people worldwide took the pledge for 2007.
According to recent estimates by Bear Stearns, YouTube earned only $15 million in all of 2006.
According to recent estimates, landmines are killing and maiming more than 2000 innocent civilians per month.
According to recent estimates by the Federation of American Scientists, Russia has produced about 1,000 tons of enriched uranium.
The city, according to recent estimates, will need to increase its energy capacity by 3,000 megawatts by 2008.
According to recent estimates, the Whistler area also has some 100 black bears moving around the mountains and valley bottom.
(According to recent estimates, the cremation of a human body releases about 100 pounds of carbon dioxide into the atmosphere).
It is now producing nearly 26 million barrels, according to recent estimates by the Middle East Economic Survey.
Granting another day off would cost the town between $10,000 and $40,000, according to recent estimates.
About one-third of the country's 1.2 billion people are younger than 14, according to recent estimates.
According to recent estimates, one in four children in the UK will spend some time in a lone parent family.
More suggestions(15)
according to recent calculations
according to latest estimates
according to recent defectors
according to recent books
according to preliminary estimates
according to recent predictions
according to recent surveys
according to several estimates
according to recent guidelines
according to early estimates
according to recent recommendations
according to recent studies
according to official estimates
according to recent polls
according to recent data
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com