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In this paper we consider two aspects of the inverse problem of how to construct merge trees realizing a given barcode. Much of our investigation exploits a recently discovered connection between the symmetric group and barcodes in general position, based ...
Coastal shoreline forests are vulnerable to seawater exposure, the impacts of which will increase due to sea-level rise, but the long-term adaptation strategies and vulnerability of coastal forests are not well understood. We used whole-tree transpiration, ...
Due to the scarcity of reliable and highly resolved moisture proxies covering much of the Holocene, there has been increased interest in the study of living and subfossil peatland trees sensitive to gradual and extreme changes in hydrology, precipitation, ...
Comparing two or more phylogenetic trees is a fundamental task in computational biology. The simplest outcome of such a comparison is a pairwise measure of similarity, dissimilarity, or distance. A large number of such measures have been proposed, but so t ...
In this thesis, we investigate the inverse problem of trees and barcodes from a combinatorial, geometric, probabilistic and statistical point of view.Computing the persistent homology of a merge tree yields a barcode B. Reconstructing a tree from B involve ...
Global warming is predicted to have a strong impact on mountain ecosystems. Subalpine sylvopastoral systems are very sensitive to climate change, which puts their future sustainability at stake. These ecosystems are mostly dominated by spruce and beech, an ...
Ring width (TRW) chronologies from Siberian (Pinus sibirica) and Scots (Pinus sylvestris) pine trees were sampled at Mukhrino - a large mire complex in central-western Siberia - to evaluate the impacts of hydroclimatic variability on tree growth over the l ...
This paper studies infinite unordered d-ary trees with nodes labeled by {0,1}. We introduce the notions of rational and Sturmian trees along with the definitions of (strongly) balanced trees and mechanical trees, and study the relations among them. In part ...
Forest ecosystems show diverse and evolving structures. Accurate descriptions and a good knowledge of these environments are therefore a real challenge. Existing forest cover investigation methods are mostly laborious, hard to replicate and usually based o ...
We investigated how deciduous trees can adjust their freezing resistance in response totemperature during the progress of the ecodormancy phase, from midwinter to bud burst. We regularly sampled twigs of four different temperate deciduous tree species from ...