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We draw connections between the geometry of the spot and gap solutions with that of traveling and stationary front solutions in the same model. In particular, we demonstrate the instability of spots of large radius by deriving an asymptotic relationship between a critical eigenvalue associated with the spot and a coefficient which encodes the sideband instability of a nearby stationary front. Furthermore, we demonstrate that spots are unstable to a range of perturbations of intermediate wavelength in the angular direction, provided the spot radius is not too small. Our results are accompanied by numerical simulations and spectral computations.<\/jats:p>","DOI":"10.1007\/s00332-023-09963-5","type":"journal-article","created":{"date-parts":[[2023,9,21]],"date-time":"2023-09-21T09:02:23Z","timestamp":1695286943000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Large Amplitude Radially Symmetric Spots and Gaps in a Dryland Ecosystem Model"],"prefix":"10.1007","volume":"33","author":[{"given":"Eleanor","family":"Byrnes","sequence":"first","affiliation":[]},{"given":"Paul","family":"Carter","sequence":"additional","affiliation":[]},{"given":"Arjen","family":"Doelman","sequence":"additional","affiliation":[]},{"given":"Lily","family":"Liu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,9,21]]},"reference":[{"key":"9963_CR1","doi-asserted-by":"crossref","unstructured":"Barbier, N., Couteron, P., Deblauwe, V.: Case study of self-organized vegetation patterning in dryland regions of central Africa. 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