{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,9]],"date-time":"2026-10-09T07:15:51Z","timestamp":1791530151682,"version":"4.3.4"},"reference-count":31,"publisher":"Cambridge University Press (CUP)","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Appl. Probab."],"published-print":{"date-parts":[[2014,3]]},"abstract":"<jats:p>The recently introduced two-parameter infinitely-many-neutral-alleles model extends the celebrated one-parameter version (which is related to Kingman's distribution) to diffusive two-parameter Poisson-Dirichlet frequencies. In this paper we investigate the dynamics driving the species heterogeneity underlying the two-parameter model. First we show that a suitable normalization of the number of species is driven by a critical continuous-state branching process with immigration. Secondly, we provide a finite-dimensional construction of the two-parameter model, obtained by means of a sequence of Feller diffusions of Wright-Fisher flavor which feature finitely many types and inhomogeneous mutation rates. Both results provide insight into the mathematical properties and biological interpretation of the two-parameter model, showing that it is structurally different from the one-parameter case in that the frequency dynamics are driven by state-dependent rather than constant quantities.<\/jats:p>","DOI":"10.1017\/s0021900200010160","type":"journal-article","created":{"date-parts":[[2016,3,29]],"date-time":"2016-03-29T10:49:37Z","timestamp":1459248577000},"page":"174-190","source":"Crossref","is-referenced-by-count":2,"title":["Species Dynamics in the Two-Parameter Poisson-Dirichlet Diffusion Model"],"prefix":"10.1017","volume":"51","author":[{"given":"Matteo","family":"Ruggiero","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2016,2,19]]},"reference":[{"key":"S0021900200010160_ref31","doi-asserted-by":"publisher","DOI":"10.2307\/3212519"},{"key":"S0021900200010160_ref12","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176342360"},{"key":"S0021900200010160_ref19","doi-asserted-by":"publisher","DOI":"10.1007\/s11464-005-0027-x"},{"key":"S0021900200010160_ref18","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176996898"},{"key":"S0021900200010160_ref17","first-page":"1","volume":"37","year":"1975","journal-title":"J. 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