“…Much effort has been devoted to modelling water‐limited landscapes and understanding self‐organized patchiness (Borgogno, D'Odorico, Laio, & Ridolfi, ; Deblauwe, Barbier, Couteron, Lejeune, & Bogaert, ; Getzin et al, ; Gilad, von Hardenberg, Provenzale, Shachak, & Meron, , ; Rietkerk, Dekker, De Ruiter, & Van de Koppel, ; Rietkerk & Van de Koppel, ; Yizhaq, Stavi, Shachak, & Bel, ; Zelnik, Meron, & Bel, ). Very few model studies, however, have been devoted to patterns that emerge at the single‐patch scale, such as spots, rings, crescent‐like shapes, and spirals, and to the biomass–water relationships associated with them (Couteron et al, ; Fernandez‐Oto, Escaff, & Cisternas, ; Meron, Yizhaq, & Gilad, ; Sheffer et al, ; Sheffer, Yizhaq, Gilad, Shachak, & Meron, ; Tlidi et al, ; Tlidi, Lefever, & Vladimirov, ). Model studies of self‐organized patchiness, at both the patch and landscape scales, are important for understanding the relationships among spatial heterogeneity, community structure, and ecosystem functioning (Nathan, Osem, Shachak, & Meron, ).…”