Evidence map›Paper›PMID 34537229›Full record

ArticleMathematical biosciences2021

A simple derivation of the mean of the Sackin index of tree balance under the uniform model on rooted binary labeled trees.

Matthew C King, Noah A Rosenberg

Open access · hybridAbstract readLetter
PubMed Full text at PMC Publisher
In one paragraph

Article in Mathematical biosciences, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.

0numbers the graph read from it
0cells of the map it votes in
2citing papers in PubMed
2.4field-weighted citation impact, top 12% of its field
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

2 citing papers in PubMed, 8 citations in OpenAlex.

  1. Article
  2. Robust, Universal Tree Balance Indices.Systematic biology · 2022
    Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

2 authors at 2 institutions in 1 country.

Matthew C KingDepartment of Biology, Stanford University, Stanford, CA 94305, United States of America.
Noah A RosenbergDepartment of Biology, Stanford University, Stanford, CA 94305, United States of America. Electronic address: noahr@stanford.edu.
Stanford Medicine · USStanford University · US

Funding

Scalable Coalescent Inference for Large Data SetsR01GM131404 · NIGMS · STANFORD UNIVERSITY · PI PALACIOS, JULIA · 2018 to 2021
$1.2M
NIGMS NIH HHS R01 GM131404
6 · The paper itself

Abstract

In mathematical phylogenetics, the Sackin index, measuring the sum of path lengths between leaves and the root, is one of the most frequently used measures of balance for phylogenetic trees. The uniform model, in which all rooted binary labeled trees for a given set of leaf labels are assumed to be equiprobable, is one of the most frequently used models for describing a probability distribution on the set of rooted binary labeled trees. This note provides a simple new derivation of the mean value of the Sackin index of tree balance under the uniform model on rooted binary labeled trees. The new derivation suggests a simple form of the mean Sackin index in terms of the Catalan numbers, quickly enabling a verification of the asymptotic value for the mean.

Indexed as

AlgorithmsModels, GeneticPhylogenyProbabilityCatalan numbersPhylogeneticsTree balance

Identifiers

PMID34537229
PMCPMC8629161
OpenAlexW3201378556

What OpenQuestion holds

Textmetadata
LicenceTDM
Read underepoch 390

Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.