Extended and enhanced hierarchical logistic regression models (called Huisman-Olff-Fresco in biology, see Huisman et al. 1993 Journal of Vegetation Science <doi:10.1111/jvs.12050>) models. Response curves along one-dimensional gradients including no response, monotone, plateau, unimodal and bimodal models.
Jansen, F., Dengler, J (2011) Plant names in vegetation databases - a neglected source of bias, Journal of vegetation science, 21(6), 1179-1186. http://dx.doi.org/10.1111/j.1654-1103.2010.01209.x