Fat tailed distributions for deaths in conflicts and disasters

We study the statistics of human deaths from wars, conflicts, similar man-made conflicts as well as natural disasters. The probability distribution of number of people killed in natural disasters as well as man made situations show power law decay for the largest sizes, with similar exponent values. Comparisons with natural disasters, when event sizes are measured in terms of physical quantities (e.g., energy released in earthquake, volume of rainfall, land area affected in forest fires, etc.) also show striking resemblances. The universal patterns in their statistics suggest that some subtle similarities in their mechanisms and dynamics might be responsible.

[1]  Lada A. Adamic,et al.  Power-Law Distribution of the World Wide Web , 2000, Science.

[2]  A. Barabasi,et al.  Evolution of the social network of scientific collaborations , 2001, cond-mat/0104162.

[3]  X. Gabaix.  Zipf's Law and the Growth of Cities , 1999 .

[4]  Albert-László Barabási,et al.  Error and attack tolerance of complex networks , 2000, Nature.

[5]  Tushar K. Nandi,et al.  Invariant features of spatial inequality in consumption: The case of India , 2015, 1507.04236.

[6]  S. Fortunato,et al.  Statistical physics of social dynamics , 2007, 0710.3256.

[7]  Patrick Meier,et al.  "Natural Disasters, Casualties and Power Laws: A Comparative Analysis with Armed Conflict" , 2006 .

[8]  B. Hayes.  Statistics of Deadly Quarrels , 2002, American Scientist.

[9]  Bikas K. Chakrabarti,et al.  Econophysics and Sociophysics , 2006 .

[10]  G. Fagiolo,et al.  On the distributional properties of household consumption expenditures: the case of Italy , 2007 .

[11]  D. Turcotte,et al.  Fractality and Self-Organized Criticality of Wars , 1998 .

[12]  S. Redner.  Citation statistics from 110 years of physical review , 2005, physics/0506056.

[13]  Benjamin Gompertz,et al.  XXIV. On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. In a letter to Francis Baily, Esq. F. R. S. &c , 1825, Philosophical Transactions of the Royal Society of London.

[14]  W. M. Makeham,et al.  On the Law of Mortality and the Construction of Annuity Tables , 1860 .

[15]  Debarati Guha-Sapir,et al.  Annual Disaster Statistical Review 2009The numbers and trends , 2010 .

[16]  Bikas K. Chakrabarti,et al.  Sociophysics: An Introduction , 2014 .

[17]  B. Chakrabarti,et al.  Econophysics of Income and Wealth Distributions , 2013 .

[18]  D. Stauffer.  Biology, Sociology, Geology by Computational Physicists , 2012 .

[19]  Bikas K. Chakrabarti,et al.  Universality of Citation Distributions for Academic Institutions and Journals , 2014, PloS one.

[20]  L. Richardson.  Variation of the Frequency of Fatal Quarrels with Magnitude , 1948 .

[21]  M. Sarkees,et al.  Resort to war : a data guide to inter-state, extra-state, intra-state, and non-state wars, 1816-2007 , 2010 .

[22]  H. Takayasu,et al.  Zipf's law in income distribution of companies , 1999 .

[23]  R. Axtell.  Zipf Distribution of U.S. Firm Sizes , 2001, Science.

[24]  L. Amaral,et al.  The web of human sexual contacts , 2001, Nature.

[25]  Takao Terano,et al.  Pareto law of the expenditure of a person in convenience stores , 2008 .

[26]  F. Auerbach.  Das Gesetz der Bevölkerungskonzentration. , 1913 .

[27]  Kim Christensen,et al.  A complexity view of rainfall. , 2002, Physical review letters.

[28]  Y. Fujiwara.  Zipf Law in Firms Bankruptcy , 2003, cond-mat/0310062.

[29]  William Shockley,et al.  On the Statistics of Individual Variations of Productivity in Research Laboratories , 1957, Proceedings of the IRE.

[30]  Mark E. J. Newman,et al.  Power-Law Distributions in Empirical Data , 2007, SIAM Rev..

[31]  S. Galam.  Sociophysics: A Physicist's Modeling of Psycho-political Phenomena , 2012 .

[32]  Claudio Castellano,et al.  Universality of citation distributions: Toward an objective measure of scientific impact , 2008, Proceedings of the National Academy of Sciences.

[33]  Anders Johansson,et al.  Econophysics and Sociophysics - Trends and Perspectives , 2006 .

[34]  Yannis M. Ioannides,et al.  The Evolution of City Size Distributions , 2004 .

[35]  T. Liggett,et al.  Stochastic Interacting Systems: Contact, Voter and Exclusion Processes , 1999 .

[36]  George Kingsley Zipf,et al.  Human behavior and the principle of least effort , 1949 .

[37]  Kim Christensen,et al.  Unified scaling law for earthquakes. , 2001, Physical review letters.

[38]  Debarati Guha-Sapir,et al.  Natural disasters, armed conflict, and public health. , 2013, The New England journal of medicine.

[39]  Andrei Z. Broder,et al.  Graph structure in the Web , 2000, Comput. Networks.

[40]  J. Marchal.  Cours d'economie politique , 1950 .

[41]  L. Cederman.  Modeling the Size of Wars: From Billiard Balls to Sandpiles , 2003, American Political Science Review.

[42]  B. Gutenberg,et al.  Frequency of Earthquakes in California , 1944, Nature.

[43]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[44]  R. Barro,et al.  On the Size Distribution of Macroeconomic Disasters , 2009 .

[45]  Thomas B. L. Kirkwood,et al.  Deciphering death: a commentary on Gompertz (1825) ‘On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies’ , 2015, Philosophical Transactions of the Royal Society B: Biological Sciences.

[46]  A. Clauset,et al.  On the Frequency of Severe Terrorist Events , 2006, physics/0606007.

[47]  O. Flomenbom,et al.  From the Physiocrats to Fairness in Nations , 2017 .

[48]  D. Turcotte,et al.  Forest fires: An example of self-organized critical behavior , 1998, Science.

[49]  Tushar K. Nandi,et al.  Quantifying invariant features of within-group inequality in consumption across groups , 2016, 1601.02463.