In applied probability, a population process is a Markov chain in which the state of the chain is analogous to the number of individuals in a population (0, 1, 2, etc.), and changes to the state are analogous to the addition or removal of individuals from the population. Although named by analogy to biological populations from population dynamics, population processes find application in a much wider range of fields than just ecology and other biological sciences. These other applications include telecommunications and queueing theory, chemical kinetics and financial mathematics, and hence the "population" could be of packets in a computer network, of molecules in a chemical reaction, or even of units in a financial index. Population processes are typically characterized by processes of birth and immigration, and of death, emigration and catastrophe, which correspond to the basic demographic processes and broad environmental effects to which a population is subject. However, population processes are also often equivalent to other processes that may typically be characterised under other paradigms (in the literal sense of "patterns"). Queues, for example, are often characterised by an arrivals process, a service process, and the number of servers. In appropriate circumstances, however, arrivals at a queue are functionally equivalent to births or immigration and the service of waiting "customers" is equivalent to death or emigration. Typical population processes include birth–death processes and . (Wikipedia).
The Mathematics of Population Growth Using Linear Models
Introduce implicit and explicit population models and their notation. Solve guided problems involving population models and their applications.
From playlist Discrete Math
Populations, Samples, Parameters, and Statistics
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Populations, Samples, Parameters, and Statistics
From playlist Statistics
#21. Finding the Sample Size Needed to Estimate a Population Proportion using StatCrunch
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys #21. Finding the Sample Size Needed to Estimate a Population Proportion using StatCrunch
From playlist Statistics Final Exam
Powered by https://www.numerise.com/ Census, sample & bias
From playlist Collecting data
Sampling from an INFINITE Population (RAND function) (11-3)
A population is infinite when it is not possible to count its elements. The sampled population changes each time; elements of the population are different every time it is measured. We still require random sampling to get a representative sample and make valid statistical inferences about
From playlist Sampling And Populations in Statistics (WK 11 - QBA 237)
Public Lecture: Scaling of Electronic Devices: From the Vacuum Tube... by Latha Venkataraman
Second Bangalore School on Population Genetics and Evolution URL: http://www.icts.res.in/program/popgen2016 DESCRIPTION: Just as evolution is central to our understanding of biology, population genetics theory provides the basic framework to comprehend evolutionary processes. Population
From playlist Modern Trends in Electron Transfer Chemistry: From Molecular Electronics to Devices
This lesson introduces the different sample methods when conducting a poll or survey. Site: http://mathispower4u.com
From playlist Introduction to Statistics
Population Growth and Decline (Differential Equations 35)
https://www.patreon.com/ProfessorLeonard A final look at population growth and decline in Differential Equations before exploring "harvesting"
From playlist Differential Equations
Open session, problem sets by John Wakeley
Second Bangalore School on Population Genetics and Evolution URL: http://www.icts.res.in/program/popgen2016 DESCRIPTION: Just as evolution is central to our understanding of biology, population genetics theory provides the basic framework to comprehend evolutionary processes. Population
From playlist Second Bangalore School on Population Genetics and Evolution
Mutation, Selection and Evolutionary Rescue in Simple Phenotype....(Lecture 1) by Guillaume Martin
PROGRAM FIFTH BANGALORE SCHOOL ON POPULATION GENETICS AND EVOLUTION (ONLINE) ORGANIZERS: Deepa Agashe (NCBS, India) and Kavita Jain (JNCASR, India) DATE: 17 January 2022 to 28 January 2022 VENUE: Online No living organism escapes evolutionary change, and evolutionary biology thus conn
From playlist Fifth Bangalore School on Population Genetics and Evolution (ONLINE) 2022
Sylvie Méléard - Stochastic modeling of Darwinian evolution in a chemostat
Sylvie Méléard (Ecole Polytechnique) We consider a stochastic model describing the Darwinian evolution of a polymorphic population with mutation and selection in a multi-resource chemostat. The interactions between individuals occur by way of competition for resources whose concentrations
From playlist Schlumberger workshop on Topics in Applied Probability
Sriram Sankararaman: "Evolutionary Models in Population Genomics"
Computational Genomics Summer Institute 2016 "Evolutionary Models in Population Genomics" Sriram Sankararaman, UCLA Institute for Pure and Applied Mathematics, UCLA July 22, 2016 For more information: http://computationalgenomics.bioinformatics.ucla.edu/
From playlist Computational Genomics Summer Institute 2016
Population Genetics and Evolution – III: Speed of Adaptation - The Coalescent by Luca Peliti
Winter School on Quantitative Systems Biology DATE:04 December 2017 to 22 December 2017 VENUE:Ramanujan Lecture Hall, ICTS, Bengaluru The International Centre for Theoretical Sciences (ICTS) and the Abdus Salam International Centre for Theoretical Physics (ICTP), are organizing a Winter S
From playlist Winter School on Quantitative Systems Biology
Alison Etheridge: Spatial population models (2/4)
Abstract: Mathematical models play a fundamental role in theoretical population genetics and, in turn, population genetics provides a wealth of mathematical challenges. In these lectures, we focus on some of the models which arise when we try to model the interplay between the forces of ev
From playlist Summer School on Stochastic modelling in the life sciences
2020.05.21 Jason Schweinsberg - A Gaussian particle distribution for branching Brownian motion [...]
A Gaussian particle distribution for branching Brownian motion with an inhomogeneous branching rate Motivated by the goal of understanding the evolution of populations undergoing selection, we consider branching Brownian motion in which particles independently move according to one-dime
From playlist One World Probability Seminar
Coalescent processes with multiple mergers of ancestral lines by John Wakeley
Second Bangalore School on Population Genetics and Evolution URL: http://www.icts.res.in/program/popgen2016 DESCRIPTION: Just as evolution is central to our understanding of biology, population genetics theory provides the basic framework to comprehend evolutionary processes. Population
From playlist Second Bangalore School on Population Genetics and Evolution
Some Equations and Games in Evolutionary Biology - Christine Taylor
Some Equations and Games in Evolutionary Biology Christine Taylor Harvard University; Member, School of Mathematics February 14, 2011 The basic ingredients of Darwinian evolution, selection and mutation, are very well described by simple mathematical models. In 1973, John Maynard Smith lin
From playlist Mathematics
From playlist Contributed talks One World Symposium 2020
Nicolas Champagnat - Genealogical processes associated to general branching processes
Nicolas Champagnat (INRIA Nancy) This is joint work with Amaury Lambert (UPMC and Collège de France). We consider general branching processes where life lengths are i.i.d. with arbitrary distribution and births occur in a Poissonian manner. The corresponding genealogical trees are called
From playlist Schlumberger workshop on Topics in Applied Probability
Measuring fitness and selection on traits by Bruce Walsh
Second Bangalore School on Population Genetics and Evolution URL: http://www.icts.res.in/program/popgen2016 DESCRIPTION: Just as evolution is central to our understanding of biology, population genetics theory provides the basic framework to comprehend evolutionary processes. Population
From playlist Second Bangalore School on Population Genetics and Evolution