Taming Uncertainty in Forensic DNA Evidence. Uncertainty. Genotype. Cybergenetics Prior probability

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Taming Uncertainty in Forensic DNA Evidence ENFSI Meeting April, 2011 Brussels, Belgium Mark W Perlin,, PhD, MD, PhD Cybergenetics, Pittsburgh, PA Cybergenetics 2003-2011 Uncertainty people (and the law) want certainty scientific data are uncertain probability describes uncertainty information is a change in probability DNA identification is an information science goal is maximal objective information Genotype? 11, 11 11, 12 unknown person 12, 13 13, 13 population Prior probability Cybergenetics 2007-2011 1

Genotype mother? biological father child Likelihood function Genotype mother? biological father child Posterior probability Objective Bayesian inference posterior = prior x likelihood Match mother? biological father 50% Pr(matching genotype) child putative father Cybergenetics 2007-2011 2

Match mother? biological father 50% Pr(matching genotype) child population 11, 11 11, 12 12, 13 13, 13 putative father Pr(cooincidental genotype) 5% MW Perlin. Explaining the likelihood ratio in DNA mixture interpretation. Proceedings of Promega's 21st International Symposium on Human Identification, 2010. Information Pr(matching genotype) LR = Pr(cooincidental genotype) Likelihood ratio = 50% 5% = 10 log(lr) is a standard measure of information log 10 (10) = 1 information unit Kinship spouse father? missing person 90% Pr(matching genotype) son daughter population 11, 11 11, 12 12, 13 13, 13 biological remains Pr(cooincidental genotype) 5% Cybergenetics 2007-2011 3

Phenotype evidence + reality evidence Lab Phenotype STR data + 10 11 12 reality observation Phenotype Lab Infer evidence STR data genotype + @ 30% @ 50% @ 20% 10 11 12 reality observation model Cybergenetics 2007-2011 4

Phenotype? evidence 50% Pr(matching genotype) 10 11 12 population 11, 11 11, 12 12, 13 13, 13 suspect Pr(cooincidental genotype) 5% Computer Interpretation quantitative computer interpretation statistical search of probability model preserve all identification information objectively infer genotype, then match any number of mixture contributors stutter, imbalance, degraded DNA calculate uncertainty of every peak Quantitative Data Cybergenetics 2007-2011 5

Perlin MW, Szabady B. Linear mixture analysis: a mathematical approach to resolving mixed DNA samples. Journal of Forensic Sciences, 2001. Quantitative Interpretation MW Perlin, A Sinelnikov. An information gap in DNA evidence interpretation. PLoS ONE, 2009. Calculate Peak Uncertainty MW Perlin, MM Legler, CE Spencer, JL Smith, WP Allan, JL Belrose, BW Duceman. Validating TrueAllele DNA mixture interpretation. Journal of Forensic Sciences, 2011. Infer Accurate Genotype Cybergenetics 2007-2011 6

Qualitative Thresholds Over threshold, peaks are treated as allele events. list of included alleles Under threshold, alleles do not exist. Qualitative Method Variation National Institute of Standards and Technology Two Contributor Mixture Data, Known Victim 213 trillion (14) 31 thousand (4) The DNA Investigator Newsletter, 2009 Same Data, More Information Murder, Match and DNA Fingernail: 7% Mixture Commonwealth v. Foley Score Method 13 thousand inclusion 23 million use victim 189 billion quantitative probability modeling preserves information peak threshold discards information Cybergenetics 2007-2011 7

More Data, More Information low template mixture three DNA contributors triplicate amplification post-pcr enhancement vwa locus data no match score found computer interpretation joint likelihood function Genoype probabilility (vwa) Information 6x Assume theta = 1%, and three contributors. A match between the suspect and the evidence is 3,620,000 times more probable than coincidence. Perlin MW, Greenhalgh M. Scientific combination of DNA evidence: a handgun mixture in eight parts. Twentieth International Symposium on the Forensic Sciences of the Australian and New Zealand Forensic Science Society, Sydney, Australia. 2010. More Data, More Information 6 5 4 3 Cybergenetics 2007-2011 8

Data: Locus D18 3 4 5 6 1 2 4 8 MW Perlin, A Sinelnikov. An information gap in DNA evidence interpretation. PLoS ONE, 2009. Preserve vs. Discard Cybergenetics 2007-2011 9

MW Perlin, MM Legler, CE Spencer, JL Smith, WP Allan, JL Belrose, BW Duceman. Validating TrueAllele DNA mixture interpretation. Journal of Forensic Sciences, 2011. Preserve vs. Discard Quantitative Interpretation 6.24 13.26 7.03 Inclusion method MW Perlin, MM Legler, CE Spencer, JL Smith, WP Allan, JL Belrose, BW Duceman. Validating TrueAllele DNA mixture interpretation. Journal of Forensic Sciences, 2011. Validated Reproducibility 25 20 0.175 log(lr) 15 10 Rep 1 Rep 2 5 0 2A 2C 2H 2D 2B 2F 2G 2E Perlin MW, Duceman BW. Profiles in productivity: greater yield at lower cost with computer DNA interpretation. Twentieth International Symposium on the Forensic Sciences of the Australian and New Zealand Forensic Science Society, Sydney, Australia. 2010. Preserve vs. Discard quantitative interpretation preserves information - every time peak threshold discards information - 70% of the time Cybergenetics 2007-2011 10

Data Peak Height is a Random Variable with Mean and Variance Accurate vs. Dispersed Genotype Probability Perlin MW. Reliable interpretation of stochastic DNA evidence. Canadian Society of Forensic Sciences 57th Annual Meeting; Toronto, ON. 2010. Missed Allele Error > 100% Threshold = 200 rfu 1.75 False negative rate (alleles/locus) 1.50 1.25 1.00 0.75 0.50 0.25 1000 pg 500 pg 250 pg 125 pg 0.00 50:50 30:70 10:90 DNA mixture ratio Cybergenetics 2007-2011 11

MW Perlin, JB Kadane, RW Cotton. Match likelihood ratio for uncertain genotypes. Law, Probability and Risk, 2009. Investigative DNA Database evidence genotypes LR suspect genotypes genotype probability representation (not alleles) fully preserves DNA identification information enables LR calculation with every match connect crimes to criminals disaster victim identification (WTC) find missing people automatic familial search combat terrorism through DNA The DNA Investigator Newsletter, 2011 DNA Intelligence and Forensic Failure What you don't know can kill you Societal Consequences much informative DNA evidence goes unused lost in "interim" qualitative interpretation methods, thresholds applied for analyst convenience DNA databases (e.g., CODIS) lose information, using inclusion-based "alleles", instead of ISFG's preferred LR-based "genotype" probability Inaccurate, uninformative DNA interpretation: DNA analysts lose genotypes prosecutors lose criminal cases databases lose investigative leads innocent law abiding citizens lose lives M Perlin; P Gill, J Buckleton, B Budowle, A van Daal. Low template DNA controversy. Twentieth International Symposium on the Forensic Sciences of the Australian and New Zealand Forensic Science Society, Sydney, Australia. 2010. International Consensus 1. DNA data is continuous, and has random variation 2. Thresholds do not work for low template DNA 3. Mathematical models can account for random variation 4. The 21st century might be a good time to move away from potentially biased human review of low level (or almost any) DNA data to some sort of objective computer interpretation that can infer genotypes up to probability, without ever looking at suspects, that gives some (possibly uninformative) objective answer. Cybergenetics 2007-2011 12

Strengthening Forensic Science objective, reliable, consistent interpretation preserve all available information, from the scene of crime to court probabilistic genotypes modern statistics and computation solid mathematical foundation platinum standard for preserving DNA information move beyond less informative interim methods http://www.cybgen.com/information perlin@cybgen.com Learning More The science of quantitative DNA mixture interpretation www.cybgen.com/information Newsletters gentle introduction to ideas Courses for scientists and lawyers Presentations handouts, movies, transcripts Publications abstracts, manuscripts Cybergenetics 2007-2011 13