"given the increase" is a perfectly normal part of a sentence in written English.
You can use it to refer to a situation in which something has increased (or has the potential to increase). For example, "Given the increase in gas prices, many people are struggling to make ends meet."
"The results are what we expected to find" given the increase in insurance rates among young people, she said.
Still, analysts said some selling was to be expected given the increase in the market in February.
Given the increase in active shooter situations (Columbine, Virginia Tech, Aurora, etc) How should the police playbook adapt?
But senior Army officials said the extra protection offered by the heavier plates was important to protect soldiers on patrol in Afghanistan, given the increase in insurgent violence.
On the contrary, given the increase in its Roma population, Europe's long-term prosperity depends on reversing current trends – and getting started right away.
Karzai averred that given the increase in AQ training activity on the Pakistan side of the border, Pakistan is actually a more violent country than Afghanistan.
Personal consumption rose 1.8 percent, as consumers showed some resiliency, especially given the increase in payroll taxes at the beginning of 2013.
And given the increase in prices for precious metals and stones, that loss could mean a significant financial as well as sentimental cost.
Given the increase in attacks in recent years, would you be willing to board a ship sailing near the East African Coast?
Some cornucopians even assert that population growth might actually improve the human condition, given the increase in goods and services over time.
Given the increase in applicants who do not plan to spend their lives teaching, even some traditional school districts are beginning to reward teachers for shorter career trajectories.
