Who publishes the number, and from what data
The Visibility Index comes from SISTRIX, a German SEO software company based in Bonn. According to the company's own documentation, its time series for the German market goes back to February 2008, making Germany one of the longest-tracked markets the tool has. It's a proprietary, in-house metric. Google doesn't calculate or publish it, and no other search engine does either.
What matters most here is where the data comes from: SISTRIX doesn't measure links. The company crawls Google's search results itself for a fixed set of keywords per country and logs which domain ranks in which position. Those ranking observations, not link profiles, form the basis of the index. That's the fundamental difference from metrics like Domain Authority or Domain Rating, both calculated from link indexes, covered in more detail in the last section below.
Per its own documentation, SISTRIX collects search results for roughly a million keywords per country, chosen to form a representative cross-section of that market's search volume. The Visibility Index is now available for more than 50 countries, though update frequency varies: daily in 13 countries, weekly in the rest. The German-speaking region remains, both historically and by design, the core of the product, even as international coverage has expanded over the years.