Using Predictive Bayesian Methods to Measure the Probability of Finding Earth-Sized Bodies

Authors

  • Frederick Bloetscher Florida Atlantic University, 777 Glades Rd Boca Raton, FL 33431

DOI:

https://doi.org/10.14738/aivp.104.12631

Keywords:

Earths, predictive Bayesian, Milky Way, galaxy

Abstract

One of the ongoing investigations involving NASA and other international agencies is an effort to find earth-like objects in space as they may be candidates for life.  At present, these investigations are being undertaken via telescopic means by looking at changes in light intensity caused by transiting planets.  As a result, the data available to make estimates of the number of these relatively bodies is currently limited.  One means to find a solution to this challenge is to use the number of objects in our solar system, along with predictive Bayesian methods, to develop a probability distribution for the likelihood of finding “earths” in other solar systems in the galaxy.  Predictive Bayesian statistical methods are designed to use limited, uncertain data to develop results.  Such an analysis is similar to predicting incident size and probability for such unlikely events as hurricanes, oil spills, health risks from contaminants and train accidents.  The result provided a probability curve distribution of the size of planets in the solar system which when integrated to include bodies that are deemed of the size to sustain life, yielded the ratio of earth sized objects per star of just over 3, and the number of Earth-sized objects in the galaxy as most likely 7 x 1011.  Finding these planets is a bigger challenge.

References

Aitchison, J. and Dunsmore I.R. 1975. Statistical Prediction Analysis, Cambridge University Press, Cambridge, UK.

Arnold, B.C., and Press, S.J. 1989. Bayesian Estimation and Prediction for Pareto Data, Journal of the American Statistical Association, Vol. 84, No. 408, pp. 1079-1084.

Bland, P.A., Smith, T.B., Jull, A.J.T., Berry, F.J.; Bevan, A.W.R., Cloudt, S.; and Pittinger, C.T., 1996, The Flux of meteorites to the Earth over the last 50,000 years, Mon. Not. R. Astron. Soc. V 283, p. 551-565.

Bloetscher, F. 2019. Using predictive Bayesian Monte Carlo- Markov Chain methods to provide a probablistic solution for the Drake equation, Acta Astronautica 155. DOI: 10.1016/j.actaastro.2018.11.033.

Bloetscher, F., Meeroff, D.E. and Phonpornwithoon, P. 2019. Assessing Risk of Injection of Reclaimed Water into the Biscayne Aquifer for Aquifer Recharge Purposes. Journal of Geoscience and Environment Protection. 07. 184-201. 10.4236/gep.2019.77013.

Bloetscher, F.; Englehardt, J.D.; Chin, D.A.; Rose, J.B.; Tchobanoglous, G.; Amy, V.P.; Gokgoz, S. 2005. Comparative Assessment Municipal Wastewater Disposal Methods in Southeast Florida, Water Environment Research, Vol. 77, pp. 480-490.

Borenstein, S. 2017. Scientists spot another nearby planet that may be just right, Sun Sentinel 420,2017 p 5A.

Borenstein, S. 2016. Scientists spot what could be another Earth, Sun Sentinel, 8/25/2016 p 2A.

Brown H. 1960. The density and mass distribution of meteoritic bodies in the neighbourhood of the Earth’s orbit. J. Geophys. Res., 65, 1679–1683.

Brown H. 1961. Addendum: The density and mass distribution of meteoritic bodies in the neighbourhood of the Earth’s orbit. J. Geophys. Res., 66, 1316–1317.

Buchwald V. F. 1975. Handbook of Iron Meteorites, Volume 1: Iron Meteorites in General. Univ. of California, Berkeley, 1418 pp.

Carter, L. 2018. How many meteorites hit Earth each year? Ask an Astronomer, http://curious.astro.cornell.edu/our-solar-system/75-our-solar-system/comets-meteors-andasteroids/meteorites/313-how-many-meteorites-hit-earth-each-year-intermediate. Accessed 8/13/19.

Erkaev, N.V.; Lammer, H.; Elkins-Tanton, L.T.; Stökl, A.; Odert, P.; Marcq, E.; Dorfi, E.A.; Kislyakova, K.G.; Kulikov, Yu.N.; Leitzinger, M.; Güdel, M. (2014). Escape of the Martian protoatmosphere and initial water inventory. Planetary and Space Science. 98: 106–119.

Englehardt, J.D. 1997. Bayesian benefit-risk analysis for sustainable process design Journal of Environmental Engineering. 123: 71-78.

Englehardt, J.D. 1993. Pollution prevention technologies: A review and classification Journal of Hazardous Materials. 35: 119-150. DOI: 10.1016/0304-3894(93)85027-C

Englehardt, J.D. and Swartout, P. 2006. Predictive Bayesian Microbial Dose-Response Assessment Based on Suggested Self-Organization in Primary Illness Response: Cryptosporidium parvum, Risk Analysis, Vol. 26, No. 2, DOI: 10.1111/j.1539-6924.2006.00745.x.

Englehardt, J.D. and Lund, J. 1992. Information Theory in Risk Analysis. Journal of Environmental Engineering, American Society of Civil Engineers, Vol. 118, No. 6, pp. 890-904. DOI: 10.1061/(ASCE)0733-Bloetscher, F. (2022). Using Predictive Bayesian Methods to Measure the Probability of Finding Earth-Sized Bodies. European Journal of Applied

Englehardt, J. D. 1995. Predicting Incident Size from Limited Information, Journal of Environmental Engineering, Vol. 121, No. 6, pp. 445–464.

Follows, M. 2019. Could Jupiter ever ignite into a star? New Scientist Magazine issue, https://www.newscientist.com/issue/3254/, published 2 November 2019, accessed 1/4/22

Fowler W.A. and Hoyle, F. 1960. Nuclear Cosmo-chronology. Ann Phys (NY) 16: 280-302.

Green, J.R. and Margerison, D. 1978. Statistical treatment of experimental data, Elsevier Scientific Pub. Co.; New York,, NY.

Halliday I., Blackwell A. T., and Griffin A. A. 1989. The flux of meteorites on the Earth’s surface. Meteoritics, 24, 173–178.

Hawkins G. S. 1960. Asteroidal fragments. Astron. J., 65, 318– 322.

Hoel, P.G., Port, S.C. and Stone, C.J. 1971. Introduction to Probability Theory, Houghton Mifflin CO. Boston, MA.

Hughes D. W. 1980. On the mass distribution of meteorites and their influx rate. In Solid Particles in the Solar System (I. Halliday and B. A. McIntosh, eds.), pp. 207–210. Reidel, Dordrecht.

Jarabek, A. and Hasselblad, V. 1990. Inhalation reference concentration methodology: impact of domestic adjustments and future directions using the confidence profile methods, Presented at 84th Annual Meeting and Exhibition of the Air and Waste management Association, June, 1984, Vancouver BC, Air and Waste management Association Proceedings paper no. 91- 173.3.

Johnson, N.L. and Kotz, S. 1970. Continuous Univariate Distributions I, Wiley and Sons, New York, NY.

Johnson, M. and Harrington, J.D. 2014. NASA's Kepler Discovers First Earth-Size Planet In The 'Habitable Zone' of Another Star, http://www.nasa.gov/ames/kepler/nasas-kepler-discovers-first-earth-size-planetin-the-habitable-zone-of-another-star.

Jones, B.W. 1991. SETI: The search for extraterrestrial Intelligence, Phys. Educ 26: 52-57.

Kahn, A. and Kaplan, K, 2017, 7 Earth sized planet orbit a nearby star, Sun Sentinel, 2/23/2017, p 6A.

Kreifeldt, J.G. 1971. A Formulation for the Number of Communicative Civilizations in the Galaxy, Icarus, 14: 419-430.

Kullback, S. 1978. Information Theory and Statistics, Peter Smith, Gloucester, MA.

Mathewson, S., 2016. How Often do Meteorites Hit the Earth? https://www.space.com/33695-thousandsmeteorites-litter-earth-unpredictable-collisions.html.

Millard H. T. Jr. 1963. The rate of arrival of meteorites at the surface of the Earth. J. Geophys. Res., 68, 4297–4303.

Maccone, C. 2010. The Statistical Drake Equation Acta Astronautica 67 (2010) 1366–1383Morrison, D., C.R. Chapman & P. Slovic 1994. The impact hazard. In Hazards due to Comets & Asteroids (ed. T. Gehrels, Univ. Ariz. Press) 59-91.

NASA Space Imagery Center, ND, Barringer Crater and its Environment, https://www.lpi.usra.edu/science/kring/epo_web/impact_cratering/enviropages/Barringer/barringerstartpage.html

NASA, ND. Asteroid Facts, https://www.nasa.gov/mission_pages/asteroids/overview/fastfacts.html,accessed 1/1/2019

NASA, ND The Probability of Collisions with Earth, https://www2.jpl.nasa.gov/sl9/back2.html.

Nelson, S.A. 2018 Meteorites, Impacts, and Mass Extinctions, Class notes https://www.tulane.edu/~sanelson/Natural_Disasters/impacts.htm.

Overbye, Dennis (November 4, 2013). Far-Off Planets Like the Earth Dot the Galaxy, The New York Times, https://www.nytimes.com/2013/11/05/science/cosmic-census-finds-billions-of-planets-that-could-belike-earth.html, accessed 1/4/22.

Petigura, Eric A.; Howard, Andrew W.; Marcy, Geoffrey W. (October 31, 2013). Prevalence of Earth-size planets orbiting Sun-like stars, Proceedings of the National Academy of Sciences of the United States of America, 110 (48): 19273–8. https://www.pnas.org/content/110/48/19273, accessed 1/4/22.

Planetary Society Institute, ND, FAQ – Meteroids/Meteroites, https://www.psi.edu/epo/faq/meteor.html.

Prasad, M. S., N. G. Rudraswami, and D. K. Panda (2013), Micrometeorite flux on Earth during the last~50,000years, J. Geophys. Res. Planets,118, 2381–2399, doi:10.1002/2013JE004460

Press, S. J. 1989. Bayesian Statistics: Principles, Models and Applications, John 377 Wiley & Sons, Inc., New York, NY. rd

Ross, S.M. 1985. Introduction to Probability Models, 3 Ed, Academic Press, Inc. Harcourt Brace Jovanovich Publ. San Diego CO.

Schmidt, M. 1965 in Stars and Stellar Systems, Vol. 5. Galactic Structure, eds Blaauw, A. and Schmidt M. University of Chicago Press, Chicago, IL.

Schneider, J. ND. “Interactive Extra-solar Planets Catalog”.The Extrasolar Planets Encyclopedia. http://exoplanet.eu/catalog/ retrieved March 3,2020

Shannon, C.E. 1949 A Mathematical Theory of Communication, The Bell System Technical Journal, Vol. 27, pp. 379–423, 623–656.

Shannon, C.E. and W. Weaver, eds. 1949. The Mathematical Theory of Communication, The University of Illinois Press, Urbana, IL.

Tillman, N, 2018. What Is the Most Massive Star? Space. https://www.space.com/41313-most-massivestar.html. accessed 1/4/22.

Torres, G. and Fressin, F. 2011. Modeling Kepler transit light curves as false positives: Rejection of blend scenarios for Kepler-9, and validation of Kepler-9d, a super-Earth-size planet in a multiple system. Astrophysical Journal. 727 (24): 24.

Wu, Z-N.; Li, J. and Bai, C-Y. 2017. Scaling Relations on Log Normal Type Growth Process with an Extremal Principles of Entropy, Entropy, 19:56 doi:10.3390/e19020056

Zolensky, M., Bland, P. Brown, P. and Halliday. I. 2006. Flux of extraterrestrial materials, in Meteorites and the Early Solar System II, edited by D. S. Lauretta and H. Y. McSween, pp. 869-888, University of Arizona Press, Tucson, AZ.

Downloads

Published

2022-07-12

How to Cite

Bloetscher, F. (2022). Using Predictive Bayesian Methods to Measure the Probability of Finding Earth-Sized Bodies. European Journal of Applied Sciences, 10(4), 33–50. https://doi.org/10.14738/aivp.104.12631

Most read articles by the same author(s)