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The phrase "a corresponding decrease" is correct and usable in written English.
It can be used when discussing a reduction that is related or proportional to another change or factor.
Example: "As the temperature dropped, there was a corresponding decrease in energy consumption."
Alternatives: "an associated decline" or "a related reduction."
Exact(57)
At the same time, there was a corresponding decrease in experiments on "natural" animals.
Moreover, men who increased their exercise saw a corresponding decrease in the number of fractures.
"But you would then have had to see a corresponding decrease in the Q3 number.
Research shows that when bullying problems decline at school, there is also a corresponding decrease in other antisocial behaviors both in the school and the community.
Even more challenging, the secretary must convince Congress that it would be self-defeating if income from admission were offset by a corresponding decrease in taxpayer financing.
However, we are asking for a manifold increase in White Lies about how we are brilliant geniuses and the like, and a corresponding decrease in Brown Lies, about what might happen in the future.
Kolbert seems to argue that, as the average weight of the population has risen in the past few decades, there must be a corresponding decrease in the health of the population.
Harris, who is chairman and owns about 20% of the shares, said: "Like so many retailers, we are continuing to experience a very challenging trading environment, with significant sales volatility and a corresponding decrease in the margin".
You'd expect that if we've been catching fifty thousand early-stage cancers every year, we should be seeing a corresponding decrease in the number of late-stage invasive cancers.
And true enough, our study found that the growth in children classified with autism was accompanied by a corresponding decrease in the number of special education students with other designations.
An increase in the volume of blood or brain tissue results in a corresponding decrease in the fluid.
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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