Bayesian networks for evaluating forensic DNA profiling evidence: a review and guide to literature.

Almost 30 years ago, Bayesian networks (BNs) were developed in the field of artificial intelligence as a framework that should assist researchers and practitioners in applying the theory of probability to inference problems of more substantive size and, thus, to more realistic and practical problems. Since the late 1980s, Bayesian networks have also attracted researchers in forensic science and this tendency has considerably intensified throughout the last decade. This review article provides an overview of the scientific literature that describes research on Bayesian networks as a tool that can be used to study, develop and implement probabilistic procedures for evaluating the probative value of particular items of scientific evidence in forensic science. Primary attention is drawn here to evaluative issues that pertain to forensic DNA profiling evidence because this is one of the main categories of evidence whose assessment has been studied through Bayesian networks. The scope of topics is large and includes almost any aspect that relates to forensic DNA profiling. Typical examples are inference of source (or, 'criminal identification'), relatedness testing, database searching and special trace evidence evaluation (such as mixed DNA stains or stains with low quantities of DNA). The perspective of the review presented here is not exclusively restricted to DNA evidence, but also includes relevant references and discussion on both, the concept of Bayesian networks as well as its general usage in legal sciences as one among several different graphical approaches to evidence evaluation.

[1]  Robert G Cowell FINEX: a Probabilistic Expert System for forensic identification. , 2003, Forensic science international.

[2]  Avi Pfeffer,et al.  Object-Oriented Bayesian Networks , 1997, UAI.

[3]  Olivier Pourret,et al.  Bayesian networks : a practical guide to applications , 2008 .

[4]  Steffen L. Lauritzen,et al.  Probabilistic modelling for DNA mixture analysis , 2008 .

[5]  Claude Roux,et al.  Statistics and the Evaluation of Evidence for Forensic Scientists, by Colin G. G. Aitken and Franco Taroni 2nd edition. John Wiley and Sons, 2004. , 2006 .

[6]  Amanda B. Hepler,et al.  Object-oriented Bayesian networks for paternity cases with allelic dependencies. , 2008, Forensic science international. Genetics.

[7]  Judea Pearl,et al.  Reverend Bayes on Inference Engines: A Distributed Hierarchical Approach , 1982, AAAI.

[8]  Colin Aitken,et al.  Bayesian Networks and Probabilistic Inference in Forensic Science , 2006 .

[9]  I W Evett,et al.  Evaluating DNA profiles in a case where the defence is "it was my brother". , 1992, Journal - Forensic Science Society.

[10]  C M Triggs,et al.  An extended likelihood ratio framework for interpreting evidence. , 2006, Science & justice : journal of the Forensic Science Society.

[11]  Peter Norvig,et al.  Artificial Intelligence: A Modern Approach , 1995 .

[12]  J. Pearl Causality: Models, Reasoning and Inference , 2000 .

[13]  Kathryn B. Laskey,et al.  Network Fragments: Representing Knowledge for Constructing Probabilistic Models , 1997, UAI.

[14]  Kathryn B. Laskey,et al.  Computational Inference for Evidential Reasoning in Support of Judicial Proof , 2002 .

[15]  Wim Wiegerinck,et al.  Bayesian networks for victim identification on the basis of DNA profiles , 2009 .

[16]  Anders L. Madsen,et al.  Bayesian networks and influence diagrams , 2007 .

[17]  D. Schum The Evidential Foundations of Probabilistic Reasoning , 1994 .

[18]  Paolo Garbolino,et al.  Evaluation of scientific evidence using Bayesian networks. , 2002, Forensic science international.

[19]  Michael I. Jordan Learning in Graphical Models , 1999, NATO ASI Series.

[20]  Norman Fenton,et al.  The "Jury Observation Fallacy" and the use of Bayesian Networks to present Probabilistic Legal Arguments , 2007 .

[21]  J. Wigmore The principles of judicial proof as given by logic, psychology, and general experience, and illustrated in judicial trials , 1988 .

[22]  Enrique F. Castillo,et al.  Expert Systems and Probabilistic Network Models , 1996, Monographs in Computer Science.

[23]  A Gammerman,et al.  Statistical modelling in specific case analysis. , 1996, Science & justice : journal of the Forensic Science Society.

[24]  Ronald A. Howard,et al.  Influence Diagrams , 2005, Decis. Anal..

[25]  J. Mortera,et al.  Sensitivity of inferences in forensic genetics to assumptions about founding genes , 2009, 0908.2862.

[26]  Amanda B. Hepler,et al.  Object-Oriented Graphical Representations of Complex Patterns of Evidence , 2007 .

[27]  Alex Biedermann,et al.  Two Items of Evidence, No Putative Source: An Inference Problem in Forensic Intelligence , 2006, Journal of forensic sciences.

[28]  Colin Aitken,et al.  Data Analysis in Forensic Science A Bayesian Decision Perspective , 2010 .

[29]  James Curran,et al.  The low-template-DNA (stochastic) threshold--its determination relative to risk analysis for national DNA databases. , 2009, Forensic science international. Genetics.

[30]  Fabio Corradi,et al.  Forensic identification of relatives of individuals included in a database of DNA profiles , 2006 .

[31]  José A. Gámez,et al.  Advances in Bayesian networks , 2004 .

[32]  I. Evett,et al.  More on the hierarchy of propositions: exploring the distinction between explanations and propositions. , 2000, Science & justice : journal of the Forensic Science Society.

[33]  Peter M Vallone,et al.  Allele frequencies for 15 autosomal STR loci on U.S. Caucasian, African American, and Hispanic populations. , 2003, Journal of forensic sciences.

[34]  I. Evett,et al.  A hierarchy of propositions: deciding which level to address in casework , 1998 .

[35]  F Taroni,et al.  A general approach to Bayesian networks for the interpretation of evidence. , 2004, Forensic science international.

[36]  Uffe Kjærulff,et al.  Bayesian Networks and Influence Diagrams: A Guide to Construction and Analysis , 2007, Information Science and Statistics.

[37]  P. Thagard Why wasn't O.J. convicted? Emotional coherence in legal inference , 2003, Cognition & emotion.

[38]  Colin Aitken,et al.  Probabilistic reasoning in evidential assessment , 1989 .

[39]  Martin Neil,et al.  Building large-scale Bayesian networks , 2000, The Knowledge Engineering Review.

[40]  Paolo Garbolino,et al.  A graphical model for the evaluation of cross-transfer evidence in DNA profiles. , 2003, Theoretical population biology.

[41]  S L Lauritzen,et al.  Identification and separation of DNA mixtures using peak area information. , 2007, Forensic science international.

[42]  David J. Spiegelhalter,et al.  Local computations with probabilities on graphical structures and their application to expert systems , 1990 .

[43]  Didier Hatsch,et al.  Resolving Paternity Relationships Using X‐Chromosome STRs and Bayesian Networks , 2007, Journal of forensic sciences.

[44]  J Mortera,et al.  Object-oriented Bayesian networks for complex forensic DNA profiling problems. , 2007, Forensic science international.

[45]  David A. Schum,et al.  Analysis of Evidence: Frontmatter , 2005 .

[46]  Glenn Shafer,et al.  Readings in Uncertain Reasoning , 1990 .

[47]  Christian Jowett Lies, Damned Lies, and DNA Statistics: DNA Match Testing, Bayes' Theorem, and the Criminal Courts , 2001, Medicine, science, and the law.

[48]  Edward A. Bender,et al.  Mathematical methods in artificial intelligence , 1996 .

[49]  A. Philip Dawid,et al.  USING A GRAPHICAL METHOD TO ASSIST THE EVALUATION OF COMPLICATED PATTERNS OF EVIDENCE , 1997 .

[50]  David A. Stoney Relaxation of the assumption of relevance and an application to one-trace and two-trace problems , 1994 .

[51]  J. Gutiérrez,et al.  Applications of Bayesian Networks in Meteorology , 2004 .

[52]  Kevin B. Korb,et al.  Bayesian Artificial Intelligence , 2004, Computer science and data analysis series.

[53]  David J. Spiegelhalter,et al.  Probabilistic Networks and Expert Systems , 1999, Information Science and Statistics.

[54]  Robert G Cowell,et al.  Validation of an STR peak area model. , 2009, Forensic science international. Genetics.

[55]  Bernard Robertson,et al.  Taking Fact Analysis Seriously , 1993 .

[56]  Olav Bangsø,et al.  Object Oriented Bayesian Networks: a Framework for Top-Down Specification of Large Bayesian Networks with Repetitive Structures , 2000 .

[57]  A. P. Dawid,et al.  Inference about disputed paternity from an incomplete pedigree using a probabilistic expert system , 1999 .

[58]  J A Lambert,et al.  A model for case assessment and interpretation. , 1998, Science & justice : journal of the Forensic Science Society.

[59]  Franco Taroni,et al.  Statistics and the Evaluation of Evidence for Forensic Scientists , 2004 .

[60]  G. Leckie Bulletin of the International Statistical Institute , 2013 .

[61]  Alexander Gammerman,et al.  Computational Learning and Probabilistic Reasoning , 1996 .

[62]  H. R. Keshavan,et al.  Introduction to the Special Section on Probabilistic Reasoning , 1993, IEEE Trans. Pattern Anal. Mach. Intell..

[63]  Dw Van Boxel,et al.  Probabilistic Expert Systems for Forensic Inference from Genetic Markers , 2002 .

[64]  F Taroni,et al.  A probabilistic approach to the joint evaluation of firearm evidence and gunshot residues. , 2006, Forensic science international.

[65]  Colin Aitken,et al.  The use of statistics in forensic science , 1991 .

[66]  D. A. Kenny,et al.  Correlation and Causation , 1937, Wilmott.

[67]  D. Schum,et al.  A Probabilistic Analysis of the Sacco and Vanzetti Evidence , 1996 .

[68]  A. P. Dawid,et al.  Representing and solving complex DNA identification cases using Bayesian networks , 2006 .

[69]  Finn V. Jensen,et al.  Bayesian Networks and Decision Graphs , 2001, Statistics for Engineering and Information Science.

[70]  S. Wright The Method of Path Coefficients , 1934 .

[71]  Ian W. Evett,et al.  Case pre-assessment and review in a two-way transfer case , 1999 .

[72]  Steffen L. Lauritzen,et al.  Graphical Models for Genetic Analyses , 2003 .

[73]  David H. Kaye The Validity of Tests: Caveant Omnes , 1987 .

[74]  Jonathan Whitaker,et al.  Interpreting small quantities of DNA: the hierarchy of propositions and the use of Bayesian networks. , 2002, Journal of forensic sciences.

[75]  Simon Bronitt,et al.  Law in Context , 2006 .

[76]  S L Lauritzen,et al.  Estimating mutation rates from paternity casework. , 2008, Forensic science international. Genetics.

[77]  Luis M. de Campos,et al.  Fast Propagation Algorithms for Singly Connected Networks and their Applications to Information Retrieval , 2004 .

[78]  Albert S. Osborn,et al.  The Problem of Proof , 1923 .

[79]  K. Upton,et al.  A modern approach , 1995 .

[80]  Peter Green,et al.  Highly Structured Stochastic Systems , 2003 .

[81]  Judea Pearl,et al.  Probabilistic reasoning in intelligent systems - networks of plausible inference , 1991, Morgan Kaufmann series in representation and reasoning.

[82]  I. Hacking An Introduction to Probability and Inductive Logic , 2001 .

[83]  F Taroni,et al.  Decision theoretic properties of forensic identification: underlying logic and argumentative implications. , 2008, Forensic science international.

[84]  Richard E. Neapolitan,et al.  Probabilistic reasoning in expert systems - theory and algorithms , 2012 .

[85]  Leaverton Le,et al.  The use of statistics. , 1970 .

[86]  Manuel Gómez,et al.  Real-World Applications of Influence Diagrams , 2004 .

[87]  T. Anderson,et al.  Analysis of evidence : how to do things with facts , 1997 .

[88]  Christopher Bishop,et al.  Proceedings of the Ninth International Workshop on Artificial Intelligence and Statistics , 2003 .

[89]  A. Dawid,et al.  Probabilistic expert systems for DNA mixture profiling. , 2003, Theoretical population biology.

[90]  Ian W. Evett,et al.  Establishing the evidential value of a small quantity of material found at a crime scene , 1993 .

[91]  Colin Aitken,et al.  Decision analysis in forensic science. , 2005, Journal of forensic sciences.

[92]  Franco Taroni,et al.  How the probability of a false positive affects the value of DNA evidence. , 2003, Journal of forensic sciences.

[93]  A. Philip Dawid,et al.  An object-oriented Bayesian network for estimating mutation rates , 2003, AISTATS.