“…Grazing most often seems to promote the diversity of plants (Papanikolaou et al ., 2011; Báldi, Batáry & Kleijn, 2013; Tälle et al ., 2016), whereas other species groups show diverging responses that strongly depend on grazing intensity (Kruess & Tscharntke, 2002; Dumont et al ., 2007; Wallis De Vries et al ., 2007; Jerrentrup et al ., 2014). Too intense grazing (overgrazing) may have large negative impacts on grassland biodiversity (Bonari et al ., 2017; Sartorello et al ., 2020) and human livelihood (Varga et al ., 2021), and the grassland recovery after being overgrazed is most likely slow (Middleton, Holsten & van Diggelen, 2006; Fetzel et al ., 2018; Varga et al ., 2021). There is a growing awareness that CAP often results in overgrazing (Fetzel et al ., 2018; Marques et al ., 2020; European Commission, 2020 b ), and this raises the question of whether CAP‐grazing regimes are compatible with Natura 2000 targets for biodiversity.…”