U.S. flag
      An official website of the United States government, Department of Justice.
        Here's how you know
      Here's how you know**Official websites use .gov**
            
            A **.gov** website belongs to an official government organization in the United States.
      **Secure .gov websites use HTTPS**
            
            A **lock** (
            A locked padlock
            ) or **https://** means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites. Menu

      
        close

            
            
                                              About NIJ
        
                    
  
          About NIJ
      
    
          The NIJ Director
          How NIJ Is Organized
          Mission and Guiding Principles
          Research and Development Process
          Strategic Framework
          Assessments of NIJ
          Annual Reports & Reports to Congress
          Staff Directory
          Funding & Awards
        
                    
  
          Funding & Awards
      
    
          Current Funding
          Forthcoming Funding
          Expired Funding
          Awards: Listing of Funded Projects
          Guidance for Applicants and Awardees
          Fellowship & Student Programs
          Travel Scholarships
          NIJ Challenge Program
          Library & Multimedia
        
                    
  
          Library & Multimedia
      
    
          NIJ Journal
          Podcasts
          Publications Listing
          Multimedia Listing
          Rated Practices on CrimeSolutions
          Rated Programs on CrimeSolutions
          Software & Databases
          Datasets
          Patents
          Topics
        
                    
  
          Topics
      
    
          Article Listing
          Corrections
          Courts
          Crime Prevention
          Crimes
          Drugs and Crime
          Equipment and Technology
          Forensic Sciences
          Youth Justice
          Justice System Reform
          Law Enforcement
          Tribal Crime and Justice
          Victims of Crime
          Events
        
                    
  
          Events
      
    
          NIJ 2024 Research Conference
          Scheduled Events
          On-Demand Events
          Research Meetings & Workshops
          NIJ-Hosted Online Training

                            
                                About
          Contact Us
          Subscribe
          Topics A-Z
                  Share
FacebookXLinkedInRedditPinterestEmail Home
                            Library & Multimedia
 Mathematical Constraints on FST: Biallelic Markers in Arbitrarily Many Populations
NCJ Number
              251943
Journal

*Genetics* Volume: 206 Issue: 6 Dated: May 2017 Pages: 1581-1600
Author(s)
          Nicolas  Alcala;
                        Noah A. Rosenberg
Date Published

May 2017
Length
              20 pages
Annotation
              This study generalized results obtained for population pairs to arbitrarily many populations, characterizing the mathematical relationship between FST, the frequency M of the more frequent allele at a polymorphic biallelic marker, and the number of subpopulations K.
Abstract
              FST is one of the most widely used statistics in population genetics; however, recent mathematical studies have identified constraints that challenge interpretations of FST as a measure with potential to range from 0 for genetically similar populations to 1 for divergent populations. The current study found that for fixed K, FST has a peculiar constraint as a function of M, with a maximum of 1 only if M = i/K, for integers i with ceiling(K/2) = i = K-1. For fixed M, as K grows large, the range of FST becomes the full closed or half-open unit interval. For fixed K, however, some M < (K-1)/K always exists at which the upper bound on FST lies below 2v2-2 ≈ 0.8284. Coalescent simulations were used to show that under weak migration, FST depends strongly on M when K is small, but not when K is large. Finally, using data on human genetic variation, researchers used their results to explain the generally smaller FST values between pairs of continents relative to global FST values. Implications are discussed for the interpretation and use of FST. (Publisher abstract modified)
      
  
          Additional Details
Grant Number(s)
        2014-DN-BX-K015


  
  
        
  Agencies
        NIJ-Sponsored


  
  
        
  Publication Type
        Research (Applied/Empirical)
                                Report (Study/Research)
                                Report (Grant Sponsored)
                                Program/Project Description


  
  
        
  Award
        Advanced statistical population genetics methods for forensic DNA identification.
    
  
  
Date Published: May 1, 2017
    
          Downloads
        
                      HTML

Side navigation
  

        

  
  
              NIJ Journal
    
      
            
            
            
      Podcasts
    
      
            
            
            
      Publications Listing
    
      
            
            
            
      Multimedia Listing
    
      
            
            
            
      Rated Practices on CrimeSolutions
    
      
            
            
            
      Rated Programs on CrimeSolutions
    
      
            
            
            
      Software & Databases
    
      
            
            
            
      Datasets
    
      
            
            
            
      PatentsRelated Topics
        
                Ancestral DNA
        DNA typing
        Forensic laboratories
        Forensic sciences
        Grants and funding



  
Similar Publications
        
                      White Paper – Information Sharing Between Medicolegal Death Investigators And Toxicology Testing Services
                  US forensic Y-chromosome short tandem repeats database
                  Understanding Work-Related Stress among Medicolegal Death Investigators: A National Survey and Mixed-Methods Impact Study
 Top

      National Institute of Justice

        
        
                        About NIJ
                    About NIJ
      
    
                  How NIJ Is Organized
      
    
                  NIJ Director
      
    
                  Research Disclaimer
      
    
                  Funding & Awards
                    Funding & Awards Home
      
    
                  Awards Listing
      
    
                  Current Funding
      
    
                  Guidance for Applicants and Awardees
      
    
                  Resources
                    Events
      
    
                  Podcasts
      
    
                  Publications
      
    
                  Topics
      
    
                  Multimedia
      
    
                  Reuse Policy
      
    
                  Contacts
                    Contact NIJ
      
    
                  Staff Directory
      
    
                  Submit a FOIA Request
      
    
                  File a Civil Rights ComplaintFacebook
          
                      X
          
                      YouTube
  

      810 7th St. NW, Washington, D.C. 20531
      
              Secondary Footer link menu
            Accessibility
              Plain Language
              Privacy Policy
              Legal Policies and Disclaimer
              No FEAR Act
              Freedom of Information Act
              USA.gov
              Justice.gov