The Influence of the Interaction between Climate and Competition on the Distributional Limits of European Shrews

It is known that species’ distributions are influenced by several ecological factors. Nonetheless, the geographical scale upon which the influence of these factors is perceived is largely undefined. We assessed the importance of competition in regulating the distributional limits of species at large geographical scales. We focus on species with similar diets, the European Soricidae shrews, and how interspecific competition changes along climatic gradients. We used presence data for the seven most widespread terrestrial species of Soricidae in Europe, gathered from GBIF, European museums, and climate data from WorldClim. We made use of two Joint Species Distribution Models to analyse the correlations between species’ presences, aiming to understand the distinct roles of climate and competition in shaping species’ distributions. Our results support three key conclusions: (i) climate alone does not explain all species’ distributions at large scales; (ii) negative interactions, such as competition, seem to play a strong role in defining species’ range limits, even at large scales; and (iii) the impact of competition on a species’ distribution varies along a climatic gradient, becoming stronger at the climatic extremes. Our conclusions support previous research, highlighting the importance of considering biotic interactions when studying species’ distributions, regardless of geographical scale.

On the use of Markovian stick-breaking priors

Recently, a ‘Markovian stick-breaking’ process which generalizes the Dirichlet process ( μ , θ ) (\mu , \theta ) with respect to a discrete base space X \mathfrak {X} was introduced. In particular, a sample from from the ‘Markovian stick-breaking’ processs may be represented in stick-breaking form ∑ i ≥ 1 P i δ T i \sum _{i\geq 1} P_i \delta _{T_i} where { T i } \{T_i\} is a stationary, irreducible Markov chain on X \mathfrak {X} with stationary distribution μ \mu , instead of i.i.d. { T i } \{T_i\} each distributed as μ \mu as in the Dirichlet case, and { P i } \{P_i\} is a GEM ( θ ) (\theta ) residual allocation sequence. Although the previous motivation was to relate these Markovian stick-breaking processes to empirical distributional limits of types of simulated annealing chains, these processes may also be thought of as a class of priors in statistical problems. The aim of this work in this context is to identify the posterior distribution and to explore the role of the Markovian structure of { T i } \{T_i\} in some inference test cases.

Anteaters on the edge: giant and lesser anteaters (Myrmecophaga tridactyla and Tamandua tetradactyla) at their geographic distributional limits in Paraguay

ABSTRACT Species tend to be less abundant at the limits of their geographic distribution. Giant and lesser anteaters have their southernmost limits in Argentina and Paraguay, where scarce information exists regarding their ecology and conservation. We present a study carried out in the Paraguay River floodplain, in an area dedicated to cattle rearing using native grasses in a subtropical flooded savanna associated with naturally occurring forest islets, wetlands and palm groves. Using camera-traps within three different forest types, we estimated parameters related to habitat preference, social behavior and activity patterns of both species. Results show that capture success was greater in the Floodable sub-humid forest islets (FSF), compared to other types of forests: Riparian forests associated with wetlands (W-RF) and Mesoxerophytic semi-deciduous forests dominated by Schinopsis balansae (MXF). Most detections corresponded to solitary anteaters, although mother-young pairs were occasionally observed during summer. Both species showed a nocturnal and crepuscular activity pattern with a peak of records around midnight. Myrmecophaga tridactyla was detected between 11°C and 26°C, while Tamandua tetradactyla occurred between 15°C and 23°C. Future research that incorporates systematically taken data in other different habitats, including grasslands and shrublands, during all seasons of the year is recommended.

Minimax functions on Galton–Watson trees

We consider the behaviour of minimax recursions defined on random trees. Such recursions give the value of a general class of two-player combinatorial games. We examine in particular the case where the tree is given by a Galton–Watson branching process, truncated at some depth 2n, and the terminal values of the level 2n nodes are drawn independently from some common distribution. The case of a regular tree was previously considered by Pearl, who showed that as n → ∞ the value of the game converges to a constant, and by Ali Khan, Devroye and Neininger, who obtained a distributional limit under a suitable rescaling.For a general offspring distribution, there is a surprisingly rich variety of behaviour: the (unrescaled) value of the game may converge to a constant, or to a discrete limit with several atoms, or to a continuous distribution. We also give distributional limits under suitable rescalings in various cases.We also address questions of endogeny. Suppose the game is played on a tree with many levels, so that the terminal values are far from the root. To be confident of playing a good first move, do we need to see the whole tree and its terminal values, or can we play close to optimally by inspecting just the first few levels of the tree? The answers again depend in an interesting way on the offspring distribution.We also mention several open questions.