"increase of participation" is correct and usable in written English.
You can use it anytime you need to refer to an increase in the number of people taking part in something. For example, "The increase of participation in the discussion group was encouraging."
In other words, simply setting the default as "participate" instead of "not participate" resulted in a dramatic increase of participation.
"One never wants to see the scores go down," Mr. Mills said, "but I think the more important story here is the rapid increase of participation of children who in the past did not think they were going to college, did not aspire to it and did not take the SATs so they could get in line".
Since 1995, the biggest increase of participation in global value chains showed South Korea, India, and China (growth of GVC participation index between 10 and 20%%).
With the continued increase of participation at youth, high school, and collegiate levels (National Collegiate Athletic Association 2015; National Federation of High Schools 2015; US Lacrosse 2016b), more advanced skilled players may be reaching the collegiate level and may have better movement patterns, awareness of body positioning, and control of the stick.
Moreover, the chances to have missing data increase with increasing levels of participation or consumption.
There was increasing odds of participation with increasing level of education, with an OR of 1.88 (1.83–1.94) among invited with a higher education compared with those with only obligatory education.
Tennis, swimming, squash, fencing, basketball and table tennis have all been granted funds to increase levels of participation.
We observed an increase of direct participation over time on both informational and executable artifacts, while the number of technical experts was more or less constant.
While participation of stakeholders has significantly increased, quality of participation of poor people appears to have remained unsatisfactory (Planning Commission, Ministry of Planning, Bangladesh 2012).
