TY - JOUR A1 - Mahler, B. A1 - Schneider, A. R. R. A1 - Di Giacomo, A. S. A1 - Di Giacomo, A. G. A1 - Reboreda, Juan C. A1 - Tiedemann, Ralph T1 - Microsatellite usefulness is independent of phylogenetic distance in Tyrant flycatchers (Aves: Tyrannidae) - a test using two globally threatened species JF - Genetics and molecular research N2 - Tyrant flycatchers (Aves: Tyrannidae) are endemic to the New World, and many species of this group are threatened or near-threatened at the global level. The aim of this study was to test the 18 microsatellite markers that have been published for other Tyrant flycatchers in the Strange-tailed Tyrant (Alectrurus risora) and the Sharp-tailed Tyrant (Culicivora caudacuta), two endemic species of southern South American grasslands that are classified as vulnerable. We also analyzed the usefulness of loci in relation to phylogenetic distance to the source species. Amplification success was high in both species (77 to 83%) and did not differ between the more closely and more distantly related species to the source species. Polymorphism success was also similar for both species, with 9 and 8 loci being polymorphic, respectively. An increased phylogenetic distance thus does not gradually lead to allelic or locus dropouts, implying that in Tyrant flycatchers, the published loci are useful independent of species relatedness. KW - Alectrurus risora KW - Culicivora caudacuta KW - Microsatellites KW - Tyrannidae Y1 - 2013 U6 - https://doi.org/10.4238/2013.August.12.12 SN - 1676-5680 VL - 12 IS - 3 SP - 2966 EP - 2972 PB - FUNPEC CY - Ribeirao Preto ER - TY - JOUR A1 - Debussche, Arnaud A1 - Hoegele, Michael A1 - Imkeller, Peter T1 - The source of stochastic models in conceptual climate dynamics JF - Lecture notes in mathematics : a collection of informal reports and seminars JF - Lecture Notes in Mathematics Y1 - 2013 SN - 978-3-319-00828-8; 978-3-319-00827-1 U6 - https://doi.org/10.1007/978-3-319-00828-8 SN - 0075-8434 VL - 2085 IS - 3 SP - 151 EP - 157 PB - Springer CY - Berlin ER - TY - JOUR A1 - Debussche, Arnaud A1 - Högele, Michael A1 - Imkeller, Peter T1 - Localization and metastability JF - Lecture notes in mathematics : a collection of informal reports and seminars JF - Lecture Notes in Mathematics N2 - In this chapter, equipped with our previously obtained knowledge of exit and transition times in the limit of small noise amplitude ??0 , we shall investigate the global asymptotic behavior of our jump diffusion process in the time scale in which transitions occur, i.e. in the scale given by ?0(?)=?(1?Bc?(0)),?,?>0 . It turns out that in this time scale, the switching of the diffusion between neighborhoods of the stable solutions ? ± can be well described by a Markov chain jumping back and forth between two states with a characteristic Q-matrix determined by the quantities ?((D±0)c)?(Bc?(0)) as jumping rates. Y1 - 2013 SN - 978-3-319-00828-8; 978-3-319-00827-1 U6 - https://doi.org/10.1007/978-3-319-00828-8_7 SN - 0075-8434 VL - 2085 SP - 131 EP - 149 PB - Springer CY - Berlin ER - TY - JOUR A1 - Debussche, Arnaud A1 - Hoegele, Michael A1 - Imkeller, Peter T1 - Asymptotic transition times JF - Lecture notes in mathematics : a collection of informal reports and seminars JF - Lecture Notes in Mathematics Y1 - 2013 SN - 978-3-319-00828-8; 978-3-319-00827-1 U6 - https://doi.org/10.1007/978-3-319-00828-8_6 SN - 0075-8434 VL - 2085 SP - 121 EP - 130 PB - Springer CY - Berlin ER - TY - JOUR A1 - Debussche, Arnaud A1 - Hoegele, Michael A1 - Imkeller, Peter T1 - Asymptotic exit times JF - Lecture notes in mathematics : a collection of informal reports and seminars JF - Lecture Notes in Mathematics Y1 - 2013 SN - 978-3-319-00828-8; 978-3-319-00827-1 U6 - https://doi.org/10.1007/978-3-319-00828-8_5 SN - 0075-8434 VL - 2085 SP - 87 EP - 120 PB - Springer CY - Berlin ER - TY - JOUR A1 - Debussche, Arnaud A1 - Hoegele, Michael A1 - Imkeller, Peter T1 - The small deviation of the small noise solution JF - Lecture notes in mathematics : a collection of informal reports and seminars JF - Lecture Notes in Mathematics Y1 - 2013 SN - 978-3-319-00828-8; 978-3-319-00827-1 U6 - https://doi.org/10.1007/978-3-319-00828-8_4 SN - 0075-8434 VL - 2085 SP - 69 EP - 85 PB - Springer CY - Berlin ER - TY - JOUR A1 - Debussche, Arnaud A1 - Högele, Michael A1 - Imkeller, Peter T1 - The stochastic chafee-infante equation JF - Lecture notes in mathematics : a collection of informal reports and seminars JF - Lecture Notes in Mathematics N2 - In this preparatory chapter, the tools of stochastic analysis needed for the investigation of the asymptotic behavior of the stochastic Chafee-Infante equation are provided. In the first place, this encompasses a recollection of basic facts about Lévy processes with values in Hilbert spaces. Playing the role of the additive noise processes perturbing the deterministic Chafee-Infante equation in the systems the stochastic dynamics of which will be our main interest, symmetric ?-stable Lévy processes are in the focus of our investigation (Sect. 3.1). Y1 - 2013 SN - 978-3-319-00828-8; 978-3-319-00827-1 U6 - https://doi.org/10.1007/978-3-319-00828-8_3 SN - 0075-8434 VL - 2085 SP - 45 EP - 68 PB - Springer CY - Berlin ER - TY - JOUR A1 - Debussche, Arnaud A1 - Högele, Michael A1 - Imkeller, Peter T1 - The Fine Dynamics of the Chafee-Infante Equation JF - Lecture notes in mathematics : a collection of informal reports and seminars JF - Lecture Notes in Mathematics N2 - In this chapter, we introduce the deterministic Chafee-Infante equation. This equation has been the subject of intense research and is very well understood now. We recall some properties of its longtime dynamics and in particular the structure of its attractor. We then define reduced domains of attraction that will be fundamental in our study and give a result describing precisely the time that a solution starting form a reduced domain of attraction needs to reach a stable equilibrium. This result is then proved using the detailed knowledge of the attractor and classical tools such as the stable and unstable manifolds in a neighborhood of an equilibrium. Y1 - 2013 SN - 978-3-319-00828-8; 978-3-319-00827-1 U6 - https://doi.org/10.1007/978-3-319-00828-8_2 SN - 0075-8434 VL - 2085 SP - 11 EP - 43 PB - Springer CY - Berlin ER - TY - INPR A1 - Debussche, Arnaud A1 - Hoegele, Michael A1 - Imkeller, Peter T1 - The dynamics of nonlinear reaction-diffusion equations with small levy noise preface T2 - Lecture notes in mathematics : a collection of informal reports and seminars T2 - Lecture Notes in Mathematics Y1 - 2013 SN - 978-3-319-00828-8; 978-3-319-00827-1 SN - 0075-8434 VL - 2085 SP - V EP - + PB - Springer CY - Berlin ER - TY - INPR A1 - Debussche, Arnaud A1 - Högele, Michael A1 - Imkeller, Peter T1 - The dynamics of nonlinear reaction-diffusion equations with small levy noise T2 - Lecture notes in mathematics : a collection of informal reports and seminars T2 - Lecture Notes in Mathematics N2 - Our primary interest in this book lies in the study of dynamical properties of reaction-diffusion equations perturbed by Lévy noise of intensity ? in the small noise limit ??0 . Y1 - 2013 SN - 978-3-319-00828-8; 978-3-319-00827-1 U6 - https://doi.org/10.1007/978-3-319-00828-8_1 SN - 0075-8434 VL - 2085 SP - 1 EP - 10 PB - Springer CY - Berlin ER -