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1.
Animals (Basel) ; 14(10)2024 May 08.
Article in English | MEDLINE | ID: mdl-38791626

ABSTRACT

Camera traps are becoming widely used for wildlife monitoring and management. However, manual analysis of the resulting image sets is labor-intensive, time-consuming and costly. This study shows that automated computer vision techniques can be extremely helpful in this regard, as they can rapidly and automatically extract valuable information from the images. Specific training with a set of 1600 images obtained from a study where wild animals approaching wild boar carcasses were monitored enabled the model to detect five different classes of animals automatically in their natural environment with a mean average precision of 98.11%, namely 'wild boar', 'fox', 'raccoon dog', 'deer' and 'bird'. In addition, sequences of images were automatically analyzed and the number of wild boar visits and respective group sizes were determined. This study may help to improve and speed up the monitoring of the potential spread of African swine fever virus in areas where wild boar are affected.

2.
Syst Biol ; 72(3): 606-615, 2023 Jun 17.
Article in English | MEDLINE | ID: mdl-35412636

ABSTRACT

Planning for the protection of species often involves difficult choices about which species to prioritize, given constrained resources. One way of prioritizing species is to consider their "evolutionary distinctiveness," (ED) that is, their relative evolutionary isolation on a phylogenetic tree. Several evolutionary isolation metrics or phylogenetic diversity indices have been introduced in the literature, among them the so-called Fair Proportion (FP) index (also known as the ED score). This index apportions the total diversity of a tree among all leaves, thereby providing a simple prioritization criterion for conservation. Here, we focus on the prioritization order obtained from the FP index and analyze the effects of species extinction on this ranking. More precisely, we analyze the extent to which the ranking order may change when some species go extinct and the FP index is recomputed for the remaining taxa. We show that for each phylogenetic tree, there are edge lengths such that the extinction of one leaf per cherry completely reverses the ranking. Moreover, we show that even if only the lowest-ranked species goes extinct, the ranking order may drastically change. We end by analyzing the effects of these two extinction scenarios (extinction of the lowest-ranked species and extinction of one leaf per cherry) for a collection of empirical and simulated trees. In both cases, we can observe significant changes in the prioritization orders, highlighting the empirical relevance of our theoretical findings. [Biodiversity conservation; Fair Proportion index; phylogenetic diversity; species prioritization.].


Subject(s)
Biodiversity , Biological Evolution , Phylogeny , Extinction, Biological , Benchmarking , Conservation of Natural Resources
3.
J Math Biol ; 86(1): 13, 2022 12 09.
Article in English | MEDLINE | ID: mdl-36482146

ABSTRACT

Phylogenetic diversity indices such as the Fair Proportion (FP) index are frequently discussed as prioritization criteria in biodiversity conservation. They rank species according to their contribution to overall diversity by taking into account the unique and shared evolutionary history of each species as indicated by its placement in an underlying phylogenetic tree. Traditionally, phylogenetic trees were inferred from single genes and the resulting gene trees were assumed to be a valid estimate for the species tree, i.e., the "true" evolutionary history of the species under consideration. However, nowadays it is common to sequence whole genomes of hundreds or thousands of genes, and it is often the case that conflicting genealogical histories exist in different genes throughout the genome, resulting in discordance between individual gene trees and the species tree. Here, we analyze the effects of gene and species tree discordance on prioritization decisions based on the FP index. In particular, we consider the ranking order of taxa induced by (i) The FP index on a species tree, and (ii) The expected FP index across all gene tree histories associated with the species tree. On the one hand, we show that for particular tree shapes, the two rankings always coincide. On the other hand, we show that for all leaf numbers greater than or equal to five, there exist species trees for which the two rankings differ. Finally, we illustrate the variability in the rankings obtained from the FP index across different gene tree and species tree estimates for an empirical multilocus mammal data set.


Subject(s)
Phylogeny
4.
Animals (Basel) ; 12(3)2022 Jan 19.
Article in English | MEDLINE | ID: mdl-35158557

ABSTRACT

The behavior of animals is related to their health and welfare status. The latter plays a particular role in animal experiments, where continuous monitoring is essential for animal welfare. In this study, we focus on red foxes in an experimental setting and study their behavior. Although animal behavior is a complex concept, it can be described as a combination of body posture and activity. To measure body posture and activity, video monitoring can be used as a non-invasive and cost-efficient tool. While it is possible to analyze the video data resulting from the experiment manually, this method is time consuming and costly. We therefore use computer vision to detect and track the animals over several days. The detector is based on a neural network architecture. It is trained to detect red foxes and their body postures, i.e., 'lying', 'sitting', and 'standing'. The trained algorithm has a mean average precision of 99.91%. The combination of activity and posture results in nearly continuous monitoring of animal behavior. Furthermore, the detector is suitable for real-time evaluation. In conclusion, evaluating the behavior of foxes in an experimental setting using computer vision is a powerful tool for cost-efficient real-time monitoring.

5.
J Math Biol ; 83(5): 60, 2021 11 05.
Article in English | MEDLINE | ID: mdl-34739608

ABSTRACT

In many phylogenetic applications, such as cancer and virus evolution, time trees, evolutionary histories where speciation events are timed, are inferred. Of particular interest are clock-like trees, where all leaves are sampled at the same time and have equal distance to the root. One popular approach to model clock-like trees is coalescent theory, which is used in various tree inference software packages. Methodologically, phylogenetic inference methods require a tree space over which the inference is performed, and the geometry of this space plays an important role in statistical and computational aspects of tree inference algorithms. It has recently been shown that coalescent tree spaces possess a unique geometry, different from that of classical phylogenetic tree spaces. Here we introduce and study a space of discrete coalescent trees. They assume that time is discrete, which is natural in many computational applications. This tree space is a generalisation of the previously studied ranked nearest neighbour interchange space, and is built upon tree-rearrangement operations. We generalise existing results about ranked trees, including an algorithm for computing distances in polynomial time, and in particular provide new results for both the space of discrete coalescent trees and the space of ranked trees. We establish several geometrical properties of these spaces and show how these properties impact various algorithms used in phylogenetic analyses. Our tree space is a discretisation of a previously introduced time tree space, called t-space, and hence our results can be used to approximate solutions to various open problems in t-space.


Subject(s)
Algorithms , Cluster Analysis , Phylogeny
6.
Math Biosci ; 341: 108690, 2021 11.
Article in English | MEDLINE | ID: mdl-34433072

ABSTRACT

Effects like selection in evolution as well as fertility inheritance in the development of populations can lead to a higher degree of asymmetry in evolutionary trees than expected under a null hypothesis. To identify and quantify such influences, various balance indices were proposed in the phylogenetic literature and have been in use for decades. However, so far no balance index was based on the number of symmetry nodes, even though symmetry nodes play an important role in other areas of mathematical phylogenetics and despite the fact that symmetry nodes are a quite natural way to measure balance or symmetry of a given tree. The aim of this manuscript is thus twofold: First, we will introduce the symmetry nodes index as an index for measuring balance of phylogenetic trees and analyze its extremal properties. We also show that this index can be calculated in linear time. This new index turns out to be a generalization of a simple and well-known balance index, namely the cherry index, as well as a specialization of another, less established, balance index, namely Rogers' J index. Thus, it is the second objective of the present manuscript to compare the new symmetry nodes index to these two indices and to underline its advantages. In order to do so, we will derive some extremal properties of the cherry index and Rogers' J index along the way and thus complement existing studies on these indices. Moreover, we used the programming language R to implement all three indices in the software package symmeTree, which has been made publicly available.


Subject(s)
Phylogeny
7.
Animals (Basel) ; 11(6)2021 Jun 09.
Article in English | MEDLINE | ID: mdl-34207726

ABSTRACT

Animal activity is an indicator for its welfare and manual observation is time and cost intensive. To this end, automatic detection and monitoring of live captive animals is of major importance for assessing animal activity, and, thereby, allowing for early recognition of changes indicative for diseases and animal welfare issues. We demonstrate that machine learning methods can provide a gap-less monitoring of red foxes in an experimental lab-setting, including a classification into activity patterns. Therefore, bounding boxes are used to measure fox movements, and, thus, the activity level of the animals. We use computer vision, being a non-invasive method for the automatic monitoring of foxes. More specifically, we train the existing algorithm 'you only look once' version 4 (YOLOv4) to detect foxes, and the trained classifier is applied to video data of an experiment involving foxes. As we show, computer evaluation outperforms other evaluation methods. Application of automatic detection of foxes can be used for detecting different movement patterns. These, in turn, can be used for animal behavioral analysis and, thus, animal welfare monitoring. Once established for a specific animal species, such systems could be used for animal monitoring in real-time under experimental conditions, or other areas of animal husbandry.

9.
Front Vet Sci ; 7: 456, 2020.
Article in English | MEDLINE | ID: mdl-32851034

ABSTRACT

[This corrects the article DOI: 10.3389/fvets.2020.00281.].

10.
Front Vet Sci ; 7: 281, 2020.
Article in English | MEDLINE | ID: mdl-32537461

ABSTRACT

Trade of cattle between farms forms a complex trade network. We investigate partitions of this network for cattle trade in Germany. These partitions are groups of farms with similar properties and they are inferred directly from the trade pattern between farms. We make use of a rather new method known as stochastic block modeling (SBM) in order to divide the network into smaller units. SBM turns out to outperform the more established community detection method in the context of disease control in terms of trade restriction. Moreover, SBM is also superior to geographical based trade restrictions and could be a promising approach for disease control.

11.
Bull Math Biol ; 82(6): 70, 2020 06 04.
Article in English | MEDLINE | ID: mdl-32500263

ABSTRACT

Phylogenetic networks are generalizations of phylogenetic trees that allow the representation of reticulation events such as horizontal gene transfer or hybridization, and can also represent uncertainty in inference. A subclass of these, tree-based phylogenetic networks, have been introduced to capture the extent to which reticulate evolution nevertheless broadly follows tree-like patterns. Several important operations that change a general phylogenetic network have been developed in recent years and are important for allowing algorithms to move around spaces of networks; a vital ingredient in finding an optimal network given some biological data. A key such operation is the nearest neighbour interchange, or NNI. While it is already known that the space of unrooted phylogenetic networks is connected under NNI, it has been unclear whether this also holds for the subspace of tree-based networks. In this paper, we show that the space of unrooted tree-based phylogenetic networks is indeed connected under the NNI operation. We do so by explicitly showing how to get from one such network to another one without losing tree-basedness along the way. Moreover, we introduce some new concepts, for instance "shoat networks", and derive some interesting aspects concerning tree-basedness. Last, we use our results to derive an upper bound on the size of the space of tree-based networks.


Subject(s)
Biological Evolution , Models, Genetic , Phylogeny , Algorithms , Cluster Analysis , Computational Biology , Evolution, Molecular , Gene Transfer, Horizontal , Hybridization, Genetic , Mathematical Concepts , Models, Biological
12.
Vis Comput Ind Biomed Art ; 3(1): 12, 2020 May 15.
Article in English | MEDLINE | ID: mdl-32415350

ABSTRACT

Recently, so-called tree-based phylogenetic networks have attracted considerable attention. These networks can be constructed from a phylogenetic tree, called the base tree, by adding additional edges. The primary aim of this study is to provide sufficient criteria for tree-basedness by reducing phylogenetic networks to related graph structures. Even though it is generally known that determining whether a network is tree-based is an NP-complete problem, one of these criteria, namely edge-basedness, can be verified in linear time. Surprisingly, the class of edge-based networks is closely related to a well-known family of graphs, namely, the class of generalized series-parallel graphs, and we explore this relationship in full detail. Additionally, we introduce further classes of tree-based networks and analyze their relationships.

13.
J Math Biol ; 80(7): 1993-2054, 2020 06.
Article in English | MEDLINE | ID: mdl-32266429

ABSTRACT

Measures of tree balance play an important role in the analysis of phylogenetic trees. One of the oldest and most popular indices in this regard is the Colless index for rooted bifurcating trees, introduced by Colless (Syst Zool 31:100-104, 1982). While many of its statistical properties under different probabilistic models for phylogenetic trees have already been established, little is known about its minimum value and the trees that achieve it. In this manuscript, we fill this gap in the literature. To begin with, we derive both recursive and closed expressions for the minimum Colless index of a tree with n leaves. Surprisingly, these expressions show a connection between the minimum Colless index and the so-called Blancmange curve, a fractal curve. We then fully characterize the tree shapes that achieve this minimum value and we introduce both an algorithm to generate them and a recurrence to count them. After focusing on two extremal classes of trees with minimum Colless index (the maximally balanced trees and the greedy from the bottom trees), we conclude by showing that all trees with minimum Colless index also have minimum Sackin index, another popular balance index.


Subject(s)
Models, Biological , Phylogeny , Algorithms , Biological Evolution , Computational Biology , Fractals , Mathematical Concepts , Models, Statistical
14.
Mol Phylogenet Evol ; 137: 127-137, 2019 08.
Article in English | MEDLINE | ID: mdl-30928353

ABSTRACT

One of the main aims of phylogenetics is the reconstruction of the correct evolutionary tree when data concerning the underlying species set are given. These data typically come in the form of DNA, RNA or protein alignments, which consist of various characters (also often referred to as sites). Often, however, tree reconstruction methods based on criteria like maximum parsimony may fail to provide a unique tree for a given dataset, or, even worse, reconstruct the 'wrong' tree (i.e. a tree that differs from the one that generated the data). On the other hand it has long been known that if the alignment consists of all the characters that correspond to edges of a particular tree, i.e. they all require exactly k=1 substitution to be realized on that tree, then this tree will be recovered by maximum parsimony methods. This is based on Buneman's theorem in mathematical phylogenetics. It is the goal of the present manuscript to extend this classic result as follows: We prove that if an alignment consists of all characters that require exactly k=2 substitutions on a particular tree, this tree will always be the unique maximum parsimony tree (and we also show that this can be generalized to characters which require at most k=2 substitutions). In particular, this also proves a conjecture based on a recently published observation by Goloboff et al. affirmatively for the special case of k=2.


Subject(s)
Models, Genetic , Phylogeny
15.
Liver Int ; 39(5): 914-923, 2019 05.
Article in English | MEDLINE | ID: mdl-30716200

ABSTRACT

BACKGROUND & AIMS: The prognosis of biliary tract cancer (BTC) is poor. Standard treatment for advanced BTC is a chemotherapy (CT) with gemcitabine and cisplatin. Phase III evidence for a second-line (2L) CT is lacking. We aimed to investigate the feasibility of a 2L CT, to estimate the outcome and to identify prognostic markers. METHODS: Patients of our institution with advanced BTC between 2000 and 2015 receiving CT were included. Data were analysed in univariate and multivariate analysis. RESULTS: Three-hundred and fifteen and 144 patients (45.7%) received first-line (1L) and 2L CT respectively. The OS of patients receiving 2L CT was 16.67 and 9.9 months from the beginning of 1L and 2L CT respectively. The overall response rate and the disease control rate after 3 months were 9.7% and 33.6% respectively. Adverse events of grade 3 or more were observed in 26.1%. One patient died of gemcitabine-related haemolytic uraemic syndrome. Age of more than 70 years was not associated with a poor outcome. In multivariate analysis, CEA levels of >3 µg/L (P = 0.004, hazard ratio [HR] 1.89, 95% CI 1.22, 2.91), cholinesterase (CHE) levels of <5 kU/L (P = 0.001, HR 2.11, 95% CI 1.34, 3.31) and leukocytosis (P = 0.001, HR 2.90, 95% CI 1.51, 5.56) were associated with poor survival. CONCLUSIONS: Despite a relevant toxicity, our data suggest that 2L CT may be feasible in fit BTC patients. CEA elevation, leukocytosis and low CHE levels are unfavourable prognostic markers. Results from prospective randomized trials are urgently awaited.


Subject(s)
Antineoplastic Combined Chemotherapy Protocols/therapeutic use , Biliary Tract Neoplasms/drug therapy , Cholangiocarcinoma/drug therapy , Gallbladder Neoplasms/drug therapy , Aged , Aged, 80 and over , Biliary Tract Neoplasms/mortality , Cholangiocarcinoma/mortality , Cisplatin/administration & dosage , Clinical Trials as Topic , Deoxycytidine/administration & dosage , Deoxycytidine/analogs & derivatives , Female , Gallbladder Neoplasms/mortality , Humans , Male , Middle Aged , Multivariate Analysis , Prognosis , Prospective Studies , Survival Analysis , Treatment Outcome , Gemcitabine
16.
Bull Math Biol ; 81(4): 1173-1200, 2019 04.
Article in English | MEDLINE | ID: mdl-30607881

ABSTRACT

One of the main aims of phylogenetics is to reconstruct the "Tree of Life." In this respect, different methods and criteria are used to analyze DNA sequences of different species and to compare them in order to derive the evolutionary relationships of these species. Maximum parsimony is one such criterion for tree reconstruction, and it is the one which we will use in this paper. However, it is well known that tree reconstruction methods can lead to wrong relationship estimates. One typical problem of maximum parsimony is long branch attraction, which can lead to statistical inconsistency. In this work, we will consider a blockwise approach to alignment analysis, namely the so-called k-tuple analyses. For four taxa, it has already been shown that k-tuple-based analyses are statistically inconsistent if and only if the standard character-based (site-based) analyses are statistically inconsistent. So, in the four-taxon case, going from individual sites to k-tuples does not lead to any improvement. However, real biological analyses often consider more than only four taxa. Therefore, we analyze the case of five taxa for 2- and 3-tuple-site data and consider alphabets with two and four elements. We show that the equivalence of single-site data and k-tuple-site data then no longer holds. Even so, we can show that maximum parsimony is statistically inconsistent for k-tuple-site data and five taxa.


Subject(s)
Evolution, Molecular , Models, Genetic , Phylogeny , DNA/genetics , Mathematical Concepts , Sequence Alignment/statistics & numerical data
17.
Bull Math Biol ; 81(2): 618-638, 2019 02.
Article in English | MEDLINE | ID: mdl-29344760

ABSTRACT

The Shapley value, a solution concept from cooperative game theory, has recently been considered for both unrooted and rooted phylogenetic trees. Here, we focus on the Shapley value of unrooted trees and first revisit the so-called split counts of a phylogenetic tree and the Shapley transformation matrix that allows for the calculation of the Shapley value from the edge lengths of a tree. We show that non-isomorphic trees may have permutation-equivalent Shapley transformation matrices and permutation-equivalent null spaces. This implies that estimating the split counts associated with a tree or the Shapley values of its leaves does not suffice to reconstruct the correct tree topology. We then turn to the use of the Shapley value as a prioritization criterion in biodiversity conservation and compare it to a greedy solution concept. Here, we show that for certain phylogenetic trees, the Shapley value may fail as a prioritization criterion, meaning that the diversity spanned by the top k species (ranked by their Shapley values) cannot approximate the total diversity of all n species.


Subject(s)
Game Theory , Phylogeny , Algorithms , Biodiversity , Computational Biology , Mathematical Concepts , Models, Genetic , Models, Statistical
18.
Virus Res ; 258: 55-63, 2018 10 15.
Article in English | MEDLINE | ID: mdl-30291874

ABSTRACT

Unbiased sequencing is an upcoming method to gain information of the microbiome in a sample and for the detection of unrecognized pathogens. There are many software tools for a taxonomic classification of such metagenomics datasets available. Numerous of them have a satisfactory sensitivity and specificity for known organisms, but they fail if the sample contains unknown organisms, which cannot be detected by similarity-based classification employing available databases. However, recognition of unknowns is especially important for the detection of newly emerging pathogens, which are often RNA viruses. Here we present the composition-based analysis tool LVQ-KNN for binning unclassified nucleotide sequence reads into their provenance classes DNA or RNA. With a 5-fold cross-validation, LVQ-KNN reached correct classification rates (CCR) of up to 99.9% for the classification into DNA/RNA. Real datasets gained CCRs of up to 94.5%. Comparing the method to another composition-based analysis tool, similar or better classification results were reached. LVQ-KNN is a new tool for DNA/RNA classification of sequence reads from unbiased sequencing approaches that could be applicable for the detection of yet unknown RNA viruses in metagenomic samples. The source-code, training and test data for LVQ-KNN is available at Github (https://github.com/ab1989/LVQ-KNN).


Subject(s)
Metagenomics/methods , Oligonucleotides , Software , Algorithms , Base Sequence , Cluster Analysis , Nucleotides , Sensitivity and Specificity
19.
Math Biosci ; 298: 80-90, 2018 04.
Article in English | MEDLINE | ID: mdl-29471010

ABSTRACT

In biodiversity conservation it is often necessary to prioritize the species to conserve. Existing approaches to prioritization, e.g. the Fair Proportion Index and the Shapley Value, are based on phylogenetic trees and rank species according to their contribution to overall phylogenetic diversity. However, in many cases evolution is not treelike and thus, phylogenetic networks have been developed as a generalization of phylogenetic trees, allowing for the representation of non-treelike evolutionary events, such as hybridization. Here, we extend the concepts of phylogenetic diversity and phylogenetic diversity indices from phylogenetic trees to phylogenetic networks. On the one hand, we consider the treelike content of a phylogenetic network, e.g. the (multi)set of phylogenetic trees displayed by a network and the so-called lowest stable ancestor tree associated with it. On the other hand, we derive the phylogenetic diversity of subsets of taxa and biodiversity indices directly from the internal structure of the network. We consider both approaches that are independent of so-called inheritance probabilities as well as approaches that explicitly incorporate these probabilities. Furthermore, we introduce our software package NetDiversity, which is implemented in Perl and allows for the calculation of all generalized measures of phylogenetic diversity and generalized phylogenetic diversity indices established in this note that are independent of inheritance probabilities. We apply our methods to a phylogenetic network representing the evolutionary relationships among swordtails and platyfishes (Xiphophorus: Poeciliidae), a group of species characterized by widespread hybridization.


Subject(s)
Biodiversity , Models, Biological , Phylogeny
20.
Bull Math Biol ; 80(4): 864-879, 2018 04.
Article in English | MEDLINE | ID: mdl-29476399

ABSTRACT

We examine a mathematical question concerning the reconstruction accuracy of the Fitch algorithm for reconstructing the ancestral sequence of the most recent common ancestor given a phylogenetic tree and sequence data for all taxa under consideration. In particular, for the symmetric four-state substitution model which is also known as Jukes-Cantor model, we answer affirmatively a conjecture of Li, Steel and Zhang which states that for any ultrametric phylogenetic tree and a symmetric model, the Fitch parsimony method using all terminal taxa is more accurate, or at least as accurate, for ancestral state reconstruction than using any particular terminal taxon or any particular pair of taxa. This conjecture had so far only been answered for two-state data by Fischer and Thatte. Here, we focus on answering the biologically more relevant case with four states, which corresponds to ancestral sequence reconstruction from DNA or RNA data.


Subject(s)
Algorithms , Phylogeny , DNA/genetics , Evolution, Molecular , Mathematical Concepts , Models, Genetic
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