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Minimum Evolution (ME) is a phylogenetic tree building method. It uses a pairwise distance matrix, calculated from a multiple sequence alignment, to generate
Minimum_evolution
Bottom-up clustering method for creating phylogenetic trees
implementation of the closely related balanced minimum evolution (BME) method (see § Neighbor joining as minimum evolution). It is about as fast as and more accurate
Neighbor_joining
Optimality criterion in phylogeny
"Theoretical foundations of the minimum evolution method of phylogenetic inference". Molecular Biology and Evolution. 10: 21073–1095. Desper R, Gascuel
Maximum_parsimony
Study of evolutionary relationships between organisms
construction models to verify the theory; neighbor-joining (NJ), minimum evolution (ME), unweighted maximum parsimony (MP), and maximum likelihood (ML)
Phylogenetics
Overview of and topical guide to change in the heritable characteristics of organisms
outline is provided as an overview of and topical guide to evolution: In biology, evolution is change in the heritable allele frequencies of biological
Outline_of_evolution
Birds of the order Charadriiformes
gene: parsimony, Bayesian inference, minimum evolution, and quartet puzzling. Molecular Phylogenetics and Evolution 30(3): 516–526. doi:10.1016/S1055-7903(03)00222-7
Wader
Order of birds
Charadrii) from the cytochrome-b gene: parsimony, Bayesian inference, minimum evolution, and quartet puzzling". Mol. Phylogenet. Evol. 30 (3): 516–526. Bibcode:2004MolPE
Charadriiformes
Japanese-American geneticist (1931–2023)
interior branch lengths. They then developed the neighbor joining and minimum-evolution methods of tree inference. They also developed statistical methods
Masatoshi_Nei
Application of computational algorithms, methods and programs to phylogenetic analyses
genes, species, or taxa. Maximum likelihood, parsimony, Bayesian, and minimum evolution are typical optimality criteria used to assess how well a phylogenetic
Computational_phylogenetics
(2007). Catanzaro D, Pesenti R, Wolsey L (2020). "On the Balanced Minimum Evolution Polytope". Discrete Optimization. 36 100570. doi:10.1016/j.disopt
Unrooted_binary_tree
Principle in optimal control theory for best way to change state in a dynamical system
{\displaystyle {\mathcal {U}}} is the set of admissible controls. The evolution of the system is determined by the state and the control, according to
Pontryagin's maximum principle
Pontryagin's_maximum_principle
Fungal plant disease
ribosomal RNA sequenced. Parsimony analysis, bootstrapping and the minimum evolution principle led to groups of species, further described by conidial
Sooty_blotch_and_flyspeck
Method in computational phylogenetics
maximum parsimony, minimum evolution, and maximum likelihood when a large number of sequences are used". Molecular Biology and Evolution. 17 (8): 1251–1258
Tree_rearrangement
Software for statistical analysis of molecular evolution
offers five methods building a phylogenetic tree: Neighbor joining Minimum evolution UPGMA Maximum parsimony Maximum likelihood Each method allows for
Molecular Evolutionary Genetics Analysis
Molecular_Evolutionary_Genetics_Analysis
French pop punk band
Minimum Serious is a pop punk band that formed in 2000 in Grenoble, France. Their lyrics are in French and English. Minimum Serious has released two albums
Minimum_Serious
Subfamily of seabirds
gene: parsimony, Bayesian inference, minimum evolution, and quartet puzzling". Molecular Phylogenetics and Evolution. 30 (3): 521–526. Bibcode:2004MolPE
Tern
evolutionary trees. Methods to match data sets include: maximum probability, minimum evolution (also known as neighbor-joining) which searches for the tree with
Molecular_paleontology
Statistical method for molecular phylogenetics
search under maximum parsimony (MP), maximum likelihood (ML), and minimum evolution (ME) criteria, and the same can be expected for stochastic tree search
Bayesian inference in phylogeny
Bayesian_inference_in_phylogeny
Method of studying evolutionary history
David Bryant, Peter Waddell, Rapid Evaluation of Least-Squares and Minimum-Evolution Criteria on Phylogenetic Trees[dead link], Mol Biol Evol (1998) 15(10):
Least squares inference in phylogeny
Least_squares_inference_in_phylogeny
Model in statistical genetics
the theory and practice of phylogenetics and for understanding genome evolution. A gene tree is a binary graph that describes the evolutionary relationships
Multispecies coalescent process
Multispecies_coalescent_process
Matrices used in construction of phylogenetic trees
criterion. Two optimality criteria are commonly applied to distance data, minimum evolution (ME) and least squares inference. Least squares is part of a broader
Distance matrices in phylogeny
Distance_matrices_in_phylogeny
Method of mathematical optimization
Differential evolution (DE) is an evolutionary algorithm to optimize a problem by iteratively trying to improve a candidate solution with regard to a
Differential_evolution
Periodic change in the Sun's activity
synchronized fluctuation from a period of minimum activity to a period of a maximum activity back to a period of minimum activity. The magnetic field of the
Solar_cycle
Compilation of software used to produce phylogenetic trees
"INDELible: A Flexible Simulator of Biological Sequence Evolution". Molecular Biology and Evolution. 26 (8): 1879–1888. doi:10.1093/molbev/msp098. ISSN 0737-4038
List of phylogenetics software
List_of_phylogenetics_software
Limitation on the minimum time for a quantum system to evolve between two states
time evolution of a pure state is given by the Schrödinger equation: |ψt⟩=∑ncneitEn/ℏ|En⟩. Orthogonality is obtained when ⟨ψ0|ψt⟩=0 and the minimum time
Quantum_speed_limit
British statistician and geneticist (born 1935)
A. W. F. 1996. The origin and early development of the method of minimum evolution for the reconstruction of phylogenetic trees. Systematic Biology 45:79–91
A._W._F._Edwards
Chinese biologist
PMID 8601501. Fitch, Walter M. (1971). "Toward defining the course of evolution: minimum change for a specific tree topology". Syst. Zool. 20 (4): 406–416
Ziheng_Yang
The minimum wage in Romania is the lowest monthly or hourly remuneration that employers are legally allowed to pay their workers in Romania. The sum is
Minimum_wage_in_Romania
Sharp reduction in the size of a population
biology (see minimum viable population size) and in the context of agriculture (biological and pest control). In conservation biology, minimum viable population
Population_bottleneck
Textbook by Edwin Harris Colbert
light and readable, and technical concepts kept to a minimum. In the book vertebrate evolution is studied utilizing comparative anatomy & functional
Evolution_of_the_Vertebrates
Religious rejection of evolution
Recurring cultural, political, and theological rejection of evolution by religious groups exists regarding the origins of the Earth, of humanity, and
Rejection of evolution by religious groups
Rejection_of_evolution_by_religious_groups
Mobile data technology for GSM networks
Enhanced Data rates for GSM Evolution (EDGE), also known as 2.75G and under various other names, is a 2G digital mobile phone technology for packet switched
EDGE_(telecommunication)
1925 US legal case in Tennessee
Butler Act, a Tennessee state law which outlawed the teaching of human evolution in public schools. The trial was deliberately staged in order to attract
Scopes_trial
The history of minimum wage is about the attempts and measures governments have made to introduce, ascertain, uphold and enforce a minimum wage. Amongst
History_of_the_minimum_wage
Growth is limited by the scarcest resource
Liebig's law of the minimum, often simply called Liebig's law or the law of the minimum, is a principle developed in agricultural science by Carl Sprengel
Liebig's_law_of_the_minimum
Political party
the 110th Congress. The Democratic Party favors raising the minimum wage. The Fair Minimum Wage Act of 2007 was an early component of the Democrats' agenda
Democratic Party (United States)
Democratic_Party_(United_States)
Function used as a performance test problem for optimization algorithms
The global minimum is inside a long, narrow, parabolic-shaped flat valley. To find the valley is trivial. To converge to the global minimum, however, is
Rosenbrock_function
Act of Parliament about Indian labour law
The Minimum Wages Act, 1948 was an act of parliament concerning Indian labour law that sets the minimum wages that must be paid to skilled and unskilled
Minimum_Wages_Act,_1948
Probabilistic optimal control
of uncertainty either in observations or in the noise that drives the evolution of the system. The system designer assumes, in a Bayesian probability-driven
Stochastic_control
Lowest turning point of a business cycle
economics, a trough is a low turning point or a local minimum of a business cycle. The time evolution of many economics variables exhibits a wave-like behavior
Trough_(economics)
Human male external reproductive organ
choose the posture in which to urinate. In cultures where more than a minimum of clothing is worn, the penis allows the male to urinate while standing
Human_penis
American entertainment management and film production company
Elwes, filed a lawsuit against Evolution Entertainment, who were his managers at the time, stating he was promised a minimum of one percent of the producers'
Evolution_Entertainment
Extrapolation method to detect common ancestors
resulting in a weighted parsimony algorithm. Rapid evolution. The upshot of the "minimum evolution" heuristic underlying such methods is that such methods
Ancestral_reconstruction
Australian legislation
The Online Safety Amendment (Social Media Minimum Age) Act 2024 is an Australian act of parliament that prohibits minors under the age of 16 from holding
Online Safety Amendment (Social Media Minimum Age) Act 2024
Online_Safety_Amendment_(Social_Media_Minimum_Age)_Act_2024
Invitation-only credit card
of J.P. Morgan who are invited to carry the card must have a reported minimum of US$10 million in assets under management (AUM) with the private bank
J.P._Morgan_Reserve_Card
Japanese video game company
Studio. In July 2024, Capcom acquired Taiwan-based computer graphics studio Minimum Studios. In March 2026, Electronic Gaming Development Company, the investment
Capcom
Large trans-Neptunian object
Furthermore, its shape is likely to be approximately spheroidal. Its minimum likely diameter (at H = 3.27 and albedo = 0.25) would be comparable to
2026_ED138
Vast empty spaces between filaments with few or no galaxies
known as galaxy filaments. The cosmological evolution of the void regions differs drastically from the evolution of the universe as a whole: there is a long
Void_(astronomy)
occurred continually up to the present day and have been central to the evolution of the Solar System. Beyond Neptune, many sub-planet sized objects formed
Formation and evolution of the Solar System
Formation_and_evolution_of_the_Solar_System
Concentration of chemical that stops bacterial growth
In microbiology, the minimum inhibitory concentration (MIC) is the lowest concentration of a chemical, usually a drug, which prevents visible in vitro
Minimum inhibitory concentration
Minimum_inhibitory_concentration
Limited production track-only sports car
Xtrac. The car's interior is mainly composed of track-related features and minimum creature comforts, reflecting the car's racetrack aspirations. It also
Pagani_Zonda_R
Telecommunications standard for the wireless transmission of data through radio signals
Evolution-Data Optimized (EV-DO, EVDO, etc.) is a telecommunications standard for the Wireless transmission of data through radio signals, typically for
Evolution-Data_Optimized
1937 child marriage in Tennessee, U.S.
Winstead's marriage, the state of Tennessee introduced a law setting the minimum age of marriage at sixteen years. Only the jurisdictions of Minnesota,
Marriage of Charlie Johns and Eunice Winstead
Marriage_of_Charlie_Johns_and_Eunice_Winstead
Solar minimum that took place between 800 and 600 BC
The Homeric Minimum is a grand solar minimum that started about ca. 800 BC and lasted around 200 years. It appears to coincide with, and have been the
Homeric_Minimum
Tabular arrangement of the chemical elements
maximum and minimum oxidation states (e.g. sulfur and selenium in group 16 both have maximum oxidation state +6, as in SO3 and SeO3, and minimum oxidation
Periodic_table
Shallowest depth in the ocean at which a species is observed
The minimum depth of occurrence (MDO) is the shallowest depth in the ocean at which a species is observed. Because some aberrant individuals often can
Minimum_depth_of_occurrence
American football player (born 1986)
college is one of the subjects of Michael Lewis's 2006 book The Blind Side: Evolution of a Game and was dramatized in the 2009 film adaptation. Oher was born
Michael_Oher
women's increased presence in the labor force. Note: The minimums in the table are minimums neither for household nor for individual incomes, but rather
Income_in_the_United_States
Function used as a performance test problem for optimization algorithms
algorithm when needing to find the global minimum. Local optimization algorithms are likely to get stuck in a local minimum. Test functions for optimization Rastrigin
Rastrigin_function
Political party
"Top GOP Presidential Contenders Support Mandatory Minimum Reform". Families Against Mandatory Minimums. Archived from the original on November 29, 2014
Republican Party (United States)
Republican_Party_(United_States)
Country mostly on the Australian continent
the basis of population, with each of the current states guaranteed a minimum of five seats. The lower house has a maximum term of three years, but this
Australia
Age of adulthood defined in law
to drive a motorcar or a motorcycle of a given mechanical power, is the minimum age at which a person may be authorised for that activity. The age of majority
Age_of_majority
The Revenu minimum d'insertion (RMI) was a French form of social welfare. It is aimed at people without any income who are of working age but do not have
Revenu_minimum_d'insertion
Scientific projections regarding the far future
Far future in fiction Far future in religion Eschatology Formation and evolution of the Solar System Stability of the Solar System List of future astronomical
Timeline_of_the_far_future
Urban evolution refers to the heritable genetic changes of populations in response to urban development and anthropogenic activities in urban areas. Urban
Urban_evolution
Country in South America
Solimões–Amazonas waterway (3,250 kilometers or 2,020 miles in length, with a minimum depth of six meters or 20 feet). The country also has 50,000 kilometers
Brazil
Country in Northwestern Europe
statistics. UK labour laws establish employment rights including a minimum wage, a minimum of 28 days annual holiday, parental leave, statutory sick pay and
United_Kingdom
Profound change in body structure during the postembryonic development of an organism
earliest insect forms showed direct development (ametabolism), and the evolution of metamorphosis in insects is thought to have fuelled their dramatic
Metamorphosis
Diagram used to show relations among groups of organisms with common origins
This hypothetical ancestor might then provide clues about the order of evolution of various features, adaptation, and other evolutionary narratives about
Cladogram
Large self-illuminated object in space
and traces of heavier elements. Its total mass mainly determines its evolution and eventual fate. A star shines for most of its active life due to the
Star
Elections in the Canadian province
real property (whether in their own right or that of their wives) of a minimum value: $100 in townships, $200 in villages, $300 in towns and $400 in cities
Municipal elections in Ontario
Municipal_elections_in_Ontario
American actor
Heinous Crimes and Other Delights, The Greenhouse Effect and Remote Evolution. Henson was born with a white streak of hair on the right side of his
John_Henson_(comedian)
Subphylum of chordates
size from the smallest frog species such as Brachycephalus pulex, with a minimum adult snout–vent length of 6.45 millimetres (0.254 in) to the blue whale
Vertebrate
Species having two or more distinct forms
mimicry), and human hemoglobin and blood types. According to the theory of evolution, polymorphism results from evolutionary processes, as does any aspect
Polymorphism_(biology)
Province of Canada
provincial museum of the province. Other museums include Diefenbaker House, Evolution of Education Museum, Museum of Antiquities, the RCMP Heritage Centre,
Saskatchewan
Jessica's Law statutes, which provide for lengthy penalties (often a mandatory minimum sentence of 25 years in prison and lifetime electronic monitoring) for
Age of consent in the United States
Age_of_consent_in_the_United_States
Physiological nature of sleep
not as a physiological state, thus there was no clear definition of what minimum set of events constitute sleep and distinguish it from other states of
Neuroscience_of_sleep
Political party in Israel
its flagship economic policy is increasing the minimum pension given to pensioners to 70% of the minimum wage. Yisrael Beiteinu's solution for Israel's
Yisrael_Beiteinu
Passerine species of bird native to the Chatham Islands
Unlike its mainland counterparts, its flight capacity is somewhat reduced. Evolution in the absence of mammalian predators made it vulnerable to introduced
Black_robin
morphological changes of ankles bones related to increase of the body mass and evolution of the columnar posture of members of the group, is published by Tetaert
2026_in_paleomammalogy
1955–1975 war in Southeast Asia
having won a one-candidate election in 1971. Johnson employed a "policy of minimum candor" with the media. Military information officers sought to manage
Vietnam_War
Capital city of the United States
below the freezing mark (32 °F or 0 °C). On average, the first day with a minimum at or below freezing is November 18 and the last day is March 27. Washington
Washington,_D.C.
Evolution-related timelines
The evolution of human intelligence is closely tied to the evolution of the human brain and to the origin of language. The timeline of human evolution spans
Evolution of human intelligence
Evolution_of_human_intelligence
Penetrative sexual activity for reproduction or sexual pleasure
to the victims. Most countries have age of consent laws which set the minimum legal age with whom an older person may engage in sexual intercourse, usually
Sexual_intercourse
1945 attacks in Japan during WWII
emerge after exposure to radiation; instead, radiation-induced cancer has a minimum latency period of some five years and above, and leukemia some two years
Atomic bombings of Hiroshima and Nagasaki
Atomic_bombings_of_Hiroshima_and_Nagasaki
High-performance version of the BMW 3 Series automobile
required a total of 5,000 of the base model to be built with a further 500 evolution specials. It was presented to the public at the 1985 Frankfurt Motor Show
BMW_M3
Traditional Indian tag game played in teams
batch. In the case of a tie, some matches have a tiebreaker known as a "minimum chase", in which each team is allotted an additional turn to score. Each
Kho_kho
Third-generation mobile telecommunications standard
must maintain minimum consistent Internet speeds of 144 Kbps. However, many services advertised as 3G provide higher speed than the minimum technical requirements
3G
Highest court of jurisdiction in the U.S.
amendment. At issue was congressional legislation providing for the fixing of minimum wages for women and minors in the District of Columbia. (p. 146) Biskupic
Supreme Court of the United States
Supreme_Court_of_the_United_States
History of Apple's current Mac operating system
its last few quarters as an independent company. NeXTSTEP underwent an evolution into OPENSTEP, which separated the object layers from the operating system
MacOS_version_history
Russian-American scientist (born 1957)
History and Cultural Evolution. Turchin is a founding director of the Seshat: Global History Databank. He was a director of the Evolution Institute. In 2021
Peter_Turchin
Leader of China from 1949 to 1976
JSTOR 20192620. S2CID 153728069. Li, Xiaobing; Tian, Xiansheng (2013). Evolution of Power: China's Struggle, Survival, and Success. Lexington Books. p
Mao_Zedong
Earth's most severe extinction event
atmospheric oxygen levels, with no acceleration near the P–Tr boundary. Minimum atmospheric oxygen levels in the Early Triassic are never lower than present-day
Permian–Triassic extinction event
Permian–Triassic_extinction_event
Country in Southeastern and Central Europe
monthly net salary in March 2026 stood at 121,805 dinars or $1,185 while the minimum wage for 2027 is set at 70,450 dinars or $690. Serbia has an unfavourable
Serbia
Class of jawless fish
under 1 mg suspended organic solids per litre (<1 mg/l), ammocoetes demand minimum 4 mg/l, with concentrations in their habitats having been measured up to
Lamprey
Jewish holiday
Meshullash, mishloach manot are sent and the festive Purim meal is held. The minimum interval between occurrences of Purim Meshulash is three years (1974 to
Purim
state – Proposals to admit a new state into the United States Territorial evolution of the United States U.S. territorial sovereignty – Territory under US
List of states and territories of the United States
List_of_states_and_territories_of_the_United_States
Use of horses during World War II (1939–1945)
the last divisional standard (December 1944), beefed up against the 1943 minimum, provided for only 1,196 horses for a regular division and 1,155 horses
Horses_in_World_War_II
Sex-specific adaptations
selection: horn evolution in the beetle genus Onthophagus (Coleoptera: Scarabaeidae)". Evolution; International Journal of Organic Evolution. 59 (5): 1060–1084
Sexual_dimorphism
Armoured fighting vehicle
SV (Special Vehicle) is an evolution of the ASCOD armoured vehicle with an increased weight capacity, and a more evolutive platform. When initiated, this
ASCOD_2
travel, tourism, insurance
MINIMUM EVOLUTION
MINIMUM EVOLUTION
MINIMUM EVOLUTION
MINIMUM EVOLUTION
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MINIMUM EVOLUTION
MINIMUM EVOLUTION
MINIMUM EVOLUTION
MINIMUM EVOLUTION
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