The Domain Influence score analyses the popularity of a website. The more influential backlinks a site has, the higher its influence mark will be.
The Domain Influence score is a score from 0-100, with 100 corresponding to a very influential website.
The Domain Influence is useful to filter and compare different backlinks.
A website with a high Domain Influence can be more interesting to contact to get a backlink from rather than a site with a low Domain Influence.
Also check your lost backlinks: we recommend you try and contact the webmasters of the sites where you have lost backlinks that have a high Domain Influence.
A website with a low Domain Influence doesn't harm your optimization if they create a backlink towards your site. To analyze the link's toxicity, go to the article on the Spam Rating score.