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The phrase "a global increase" is correct and usable in written English.
It can be used when discussing a rise or growth that affects the entire world or a significant portion of it.
Example: "The report highlighted a global increase in temperatures over the past century, raising concerns about climate change."
Alternatives: "a worldwide rise" or "an international growth".
Exact(60)
If land is sinking, that worsens the local effects of a global increase in sea level.
2009 pandemic influenza A(H1N1) has led to a global increase in severe respiratory illness.
Over recent years, a global increase in the use of pharmaceutical products has been observed.
According to Climate Institute analysis, the Coalition's policies are consistent with a global increase of temperatures of about 3-4C.
Joint pdfs of N and ζ indicate a global increase of broadened flame fronts as turbulence level increases.
Climatic projections suggest a global increase in evaporation and higher frequency of strong rainfall events especially in Mediterranean context.
We are seeing a global increase in ethnic and cultural diversity the likes of which we've never seen before, and these are irreversible changes.
Moreover, we present evidence that suggests that a global increase in the rate of mRNA degradation occurs before the caspase-dependent cleavage of initiation factors.
Its centerpiece song, "Baker Street," featured a saxophone solo by Raphael Ravenscroft that became so popular it was said to spark a global increase in saxophone sales.
So it may be that the perception of a global increase in the severity of droughts is driven by local increases.
One consequence of the Internet is a global increase in teaching English as a second language.
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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