Modeling, simulating, and comparing biased archaeological mortuary assemblages
This paper uses a novel approach to compensate for inherent sampling biases and to compare the age profiles of two ancient Maya sacrificial assemblages to expectations from a model life table for traditional horticultural populations. It seeks to statistically rule out the possibility that either site is accumulated due to a standard mortality process experienced in horticulturalist populations. This analysis utilizes data from Midnight Terror Cave (MTC), Belize and Chichén Itzá (CI), Mexico to compare the observed versus expected death counts by age. Monte-Carlo based estimates of preservation bias were modeled assuming a normal distribution with mean and variance based on expert opinion. This model was used to up-adjust age-specific death counts for both sites to make more robust sample sizes, which were compared to those expected from a model life table at the 5th, 50th, and 95th percentiles of the resampled distribution of preservation bias. At low levels of estimated bias (5th percentile), neither MTC nor CI assemblages could be distinguished from the null-mortality model. At average to higher levels of estimated bias (50th and 95th percentiles), both populations could be statistically distinguished from the null mortality model either across all age intervals or within specific age ranges. After accounting for preservation bias, the findings suggest that both MTC and CI assemblages were unlikely to have accumulated due to a normal mortality pattern experienced within traditional horticulturalist populations, further supporting the ethnographic and archaeological evidence that indicates that the sites are accumulated due to cultural practices related to human sacrifice.
Angel, J.L. (1969). The bases of paleodemography. American Journal of Physical Anthropology, 30:427-437. https://doi.org/10.1002/ajpa.1330300314.
Bass, B. (1995). Human Osteology: A Laboratory and Field Manual. 4th ed. Missouri Archaeological Society.
Blom, F. (1954). Ossuaries, cremation and secondary burials among the Maya of Chiapas, Mexico. Journal de la Société des Américanistes, 43:123-135. https://doi.org/10.3406/jsa.1954.2418
Bocquet-Appel, J.P., & Masset, C. (1982). A farewell to paleodemography. Journal of Human Evolution, 11:321-333. https://doi.org/10.1016/S0047-2484(82)80023-7.
Brady, J.E. (1989). An Investigation of Maya Ritual Cave use with Special Reference to Naj Tunich, Peten, Guatemala [Thesis]. University of California, Los Angeles.
Brass, W. (1960). The graduation of fertility distributions by polynomial functions. Population Studies, 14(2):148-162.https://doi.org/10.1080/00324728.1960.10406045
Brunborg, H., Lyngstad, T.H., & Urdal, H. (2003). Accounting for genocide: How many were killed in Srebrenica? European Journal of Population, 19:229-248. https://doi.org/10.1023/A:1024949307841
Burgoa, F. (1934). Geográfica Descripción. Mexico: Talleres Graficos de la Nación [book in Spanish].
Chamberlain, A.T. (2006). Demography in Archaeology. Cambridge: Cambridge University Press.
Chiang, C. (1984). The Life Table and its Applications. Malbar: Krieger.
Chiang, C.L. (1964). Standard error for the age-adjusted death rate. In: Vital Statistics, Special Reports. USDHEW Report 47. Washington, DC: US Government Printing Office. p.271-285.
Coale, A., & Demeny, P. (1966). Regional Model Life Tables and Stable Populations. New York: Academic.
De Anda Alanís, G. (2007). Sacrifice and ritual body mutilation in Postclassical Maya society: Taphonomy of the human remains from Chichén Itzá’s Cenote Sagrado. In: Tiesler, V., & Cucina, A., (eds). New Perspectives on Human Sacrifice and Ritual Body Treatments in Ancient Maya society. New York: Springer, p.190-208.
De Jordan, B. (1966). La Mixteca: Su Cultura e Historia Prehispanica. México: Imprenta Universitaria.
Gage, T.B, & Dyke, B. (1986). Parameterizing abridged mortality tables: The Siler three-component hazard model. Human Biology, 58:275-291.
Gage, T.B, & Mode, C.J. (1993). Some laws of mortality: How well do they fit? Human Biology, 65:445-461.
Gage, T.B. (1988). Mathematical hazard models of mortality: An alternative to model life tables. American Journal of Physical Anthropology, 76:429-441. https://doi.org/10.1002/ajpa.1330760403
Gibbs, S.A. (1997). Those laid to rest: Skeletal remains from Actun Tunichil Muknal, Belize. In: Awe, J.J., & Conlon, J. (eds.). Belize Valley Archaeological Reconnaissance Progress Report of the 1996 Field Season. Peterborough, Ontario: Department of Anthropology, Trent University. p. 105-114.
Gibbs, S.A. (2000). An interpretation of the significance of human remains from the caves of the Southern Maya Lowlands [Masters Thesis]. Trent University.
Glassman, D.M., & Villarejo, J.L. (2005). Mortuary practices of the Prehistoric Maya from Caves Branch Rock Shelter, Belize. In: Prufer, K.M., & Brady, J.E., (eds). Stone Houses and Earth Lords: Maya Religion in the Cave Context. Boulder: University Press of Colorado, p.285-296.
Gompertz, B. (1825). On the nature and function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. Philosophical Transactions of the Royal Society of London (Series A), 115:513-585. https://doi.org/10.1098/rstl.1825.0026
Gordon, C.C., & Buikstra, J.E. (1981). Soil pH, bone preservation, and sampling bias at mortuary sites. American Antiquity, 46:566-571. https://doi.org/10.2307/280601
Graham, C., & Talay, D. (2013). Stochastic Simulation and Monte Carlo Methods. New York: Springer.
Gurven, M., & Kaplan, H. (2007). Longevity among hunter-gatherers: A cross cultural examination. Population and Development Review, 33:321-365. https://doi.org/10.1111/j.1728-4457.2007.00171.x
Guzmán, F.A. (1932). Florida Recount: Historical Discourse and Natural, Material, Military and Political Demonstration of the Kingdom of Goathema. Vol. 6, 8. Guatemala: Goathema Library [Book in Spanish].
Haglund, W.D., & Sorg, M.H. (1997). Forensic Taphonomy: The Postmortem Fate of Human Remains. Boca Raton: GRG Press.
Haglund, W.D., & Sorg, M.H. (2002). Advances in Forensic Taphonomy: Method, Theory and Archaeological Perspectives. Boca Raton: GRG Press.
Hill, K., & Hurtado, A.M. (1996). Ache Life History: The Ecology and Demography of a Foraging People. New York: Aldine de Gruyter.
Hooton, E.A. (1940). Skeletons from the cenote of sacrifice at chichén Itzá. In: Hay, C.L., (eds) The Maya and Their Neighbors: Essays on Middle American Anthropology and Archaeology. New York: D. Appleton-Century, p.272-280.
Horvitz, D., & Thompson, D.J. (1952). A generalization of sampling without replacement from a finite universe. Journal of the American Statistical Association, 47:663-685. https://doi.org/10.1080/01621459.1952.10483446
Howell, N. (1976). Demography of the Dobe Kung. New York: Sinauer.
Keckler, C. (1997). Catastrophic mortality in simulations of forager age at death: Where did all the humans go? In: Paine, R.R. (eds). Integrating Archaeological Demography: Multidisciplinary Approaches to Prehistoric Population. Carbondale, IL: Southern Illinois University Press, p.205- 228.
Kieffer, C.L. (2009). New cave discoveries at Quen Santo, Huehuetenango, Guatemala. In: Brady, J.E. (eds). Exploring Highland Maya Ritual Cave Use: Archaeology and Ethnography in Huehuetenango, Guatemala. Austin: TX Association for Mexican Cave Studies, p.41-47.
Kieffer, C.L. (2011). One Cave, many Contexts: The Skeletal Deposits from Midnight Terror Cave, Belize. In: Paper presented at the 76th Annual Meeting of the Society for American Archaeology, Sacramento, California.
Kieffer, C.L. (2015). Sacrifice of the social outcasts: Two cases of Klippel-Feil Syndrome at Midnight Terror Cave, Belize. International Journal of Osteoarchaeology, 27(1):45-55. https://doi.org/10.1002/oa.2456
Kieffer, C.L. (2018). The structural violence of Maya sacrifice: A case study of ritualized human sacrifice at Midnight Terror Cave, Belize [Thesis]. University of New Mexico. Available from: https://www.digitalrepository.unm.edu/ anth_etds/145 [Last accessed on 2022 Aug 22].
LeMieux, C. (2009). Monte Carlo and Quasi Monte Carlo Sampling. New York: Springer.
Linstrom, J., Reeve, R.,& Salvidio, S. (2010). Bayesian salamanders: Analyzing the demography of an underground population of European plethodontid Speleomante strinattii with state-space modeling. BMC Ecology, 10(4): 1-19. https://doi.org/10.1186/1472-6785-10-4
Lhuillier, A.R. (1965). Tombs and Funerary Practices in the Maya Lowlands. In: Wauchope, R., & Willey, G.R., (eds). Handbook of Middle American Indians. Vol. 2. p441-461.
Longford, N. (2005). Missing Data and Small-Area Estimation: Modern Tools for the Survey Statistician. New York: Springer.
Makeham, W.M. (1860). On the law of mortality. Journal of the Institute of Accuracies, 13:325-358. https://doi.org/10.1017/S2046166600003238
McCaa, R. (2002). Paleodemography of the Americas: From ancient times to colonialism and beyond. In: Steckel, R., & Rose, J. (eds). The Backbone of History: Health and Nutrition in the Western Hemisphere. Cambridge: Cambridge University Press, p.94-129.
Moser, C.L. (1975). Ejutla Cave: A postclassic cave burial? Bulletin of the National Institute of Anthropology and History, 14:25-36 [Article in Spanish].
Moser, C.L. (1976). Ejutla Cave: A postclassic burial cave? Katunob, 9:22-27 [Article in Spanish].
Moyes, H., & Gibbs, S. (2000). Sacrifice in the Underworld: The Human Remains from Actun Tunichil Muknal, an Ancient Maya cave site in Western Belize. In: Paper Presented at the 99th Annual Meeting of the American Anthropological Association, San Francisco, California.
Owen, V.A. (2005). A question of sacrifice: Classic Maya mortuary practices at Barton Creek Cave, Belize. In: Prufer, K.M., & Brady, J.E., (eds). Stone Houses and Earth Lords: Maya Religion in the Cave Context. Boulder: University Press of Colorado, pp.323-340.
Paine, R.R, & Harpending, H.C. (1996). The reliability of paleodemographic fertility estimators. American Journal of Physical Anthropology, 101:151-160. https://doi.org/10.1002/ajpa.1330890208
Paine, R.R, & Harpending, H.C. (1998). Effects of sampling bias on paleodemographic fertility estimates. American Journal of Physical Anthropology, 105:231-240. https://doi.org/10.1002/(SICI)1096-8644(199802)105:2<231:AID-AJPA9>3.0.CO;2-X
Pendergast, D.M. (1971). Excavations at Eduardo Quiroz Cave, British Honduras (Belize). Art and Archaeology Occasional Paper No. 21. Toronto: Royal Ontario Museum.
Preston, S.H., McDanieal, A., & Grushka, C. (1994). New model life tables for high mortality populations. Historical Methods, 26:149-160. https://doi.org/10.1080/01615440.1993.9956351
Prufer, K.M. (2002). Communities, Caves and Ritual Specialists: A study of Sacred Space in the Maya Mountains of Southern Belize. [Thesis] Southern Illinois University, Carbondale.
Radlauer, D. (2002). An Engineered Tragedy: Statistical Analysis of Casualties in the Palestinian-Israeli Conflict. Herzliya, Israel: International Institute for Counter-Terrorism.
Rathje, W.L. (1970). Socio-political implications of Lowland Maya burials: Methodology and tentative hypotheses. World Archaeology, 1:359-374. https://doi.org/10.1080/00438243.1970.9979453
Reents-Budet, D., & MacLeod, B. (1986). The archaeology of Petroglyph Cave, Belize. Unpublished manuscript.
Roys, R.L. (1943). The Indian Background of Colonial Yucatan. Publication 548. Washington: Carnegie Institute of Washington.
Ruz, A. (1968). Funerary Customs of the Ancient Maya. Philological Research Institute. Center of Maya Studies. Mexico City: National Autonomous University of Mexico [Book in Spanish].
Saldana, M., & Kieffer, C.L. (2009). The use of space in operation v and its implications for the interpretation of human bone in Midnight Terror Cave. Paper presented at the 74th Annual Meeting of the Society for American Archaeology, Atlanta, Georgia.
Sattenspiel, L., & Harpending, H.C. (1983). Stable populations and skeletal age. American Antiquity, 48:489-498. https://doi.org/10.2307/280557
Saul, J.M., Prufer, K.M., & Saul, F.P. (2005). Nearer to the gods: Rockshelter burials from the Ek Xux Valley, Belize. In: Prufer, K.M., & Brady, J.E., (eds). Stone Houses and Earth Lords: Maya Religion in the Cave Context. Boulder: University Press of Colorado, p.297-322.
Saunders, S., Fitzgerlad, C., Rogers, T., Dudar, C., & McKillop, H. (1992). A test of several methods of skeletal age estimation using a documented archaeological sample. Canadian Society of Forensic Sciences Journal, 25:97-118.
Saunders, S., Herring, A., Sawchuk, L., Boyce, G., Hoppa, R., & Klepp, S. (2002). The health of the middle class: The St. Thomas Anglican Church cemetery project. In: Steckel, R., & Rose, J., (eds). The Backbone of History: Health and Nutrition in the Western Hemisphere. Cambridge: Cambridge University Press, p.130-161.
Scholes, F.V., & Roys, R. (1968). The Maya Chontal Indians of Acalan-Tixchel: A Contribution to the History and Ethnography of the Yucatan Peninsula. Norman: University of Oklahoma Press.
Scott, A.M., & Brady, J.E. (2005). Human remains in Lowland caves: Problems of interpretation. In: Prufer, K.M., & Brady, J.E., (editors). Stone Houses and Earth Lords: Maya Religion in the Cave Context. Boulder: University Press of Colorado, pp.263-284.
Scrimshaw, S.C.M. (1984). Infanticide in human populations: Societal and individual concerns. In: Hausfater, G., & Hrdy, S.B., (eds). Infanticide: Comparative and Evolutionary Perspectives, New York: Aldine, p.439-462.
Shryock, H.S, Siegel, J.S, & Larmon, E.A. (1980). The Methods and Materials of Demography. Department of Commerce, Bureau of the Census.
Siler, W. (1979). A competing-risk model for animal mortality. Ecology, 60:750-757. https://doi.org/10.2307/1936612
Siler, W. (1983). Parameters of mortality in human populations with widely varying life spans. Statistics in Medicine, 2:373-380. https://doi.org/10.1002/sim.4780020309
Storey, R. (1992). Life and Death in the Ancient City of Teotihuacan: A Modern Paleodemographic Synthesis. Tuscaloosa: University of Alabama Press.
Thompson, E.H. (1938). The High Priest’s Grave, Chichén Itzá, Yucatan, Mexico. Prepared for publication, with notes and introduction by J. Eric Thompson. Field Museum of Natural History, Anthropology Series 27, No.1. Chicago: Field Museum Press.
Tiesler, V. (2005). What can bones really tell us? The study of human skeletal remains from cenotes. In: Prufer, K.M., & Brady, J.E., (eds). Stone Houses and Earth Lords: Maya Religion in the Cave Context. Boulder, CO: University Press of Colorado. Press, p.341-363.
Tiesler, V. (2007). Funerary or nonfunerary? New references in identifying Ancient Maya sacrificial and postsacrificial behaviors from human assemblages. In: Tiesler, W., & Cucina, A., (eds). New Perspectives on Human Sacrifice and Ritual Body Treatments in Ancient Maya Society. New York: Springer, p.14-44.
Tozzer, A.M. (1941). Landa’s Relation of Yucatan Things. Vol. 18. Cambridge: Papers of the Peabody Museum of American Archaeology and Ethnology [Article in Spanish].
Villarejo, J.L. (1995). Salvage Excavation in Caves Branch Rock Shelter, Cayo District, Belize. Fourth International Meeting. Researchers of the Mayan Culture, Monograph 1.p 46-70 [Article in Spanish].
Villarejo, J.L., & Klemm, C.M. (1995). Recent Work in the Caves Branch Region, Cayo District, Belize. The Fifth International Meeting. Researchers of the Maya Culture, Monograph 4.p250-267 [Article in Spanish].
Weiss, K.M. (1973). Demographic Models for Anthropology. Washington, D.C.: Memoirs of the Society for American Archaeology, no. 27.
Wood, J.W, Milner, G.R., Harpending, H.C., Weiss, K.M., Cohen, M.N., Eisenberg, L.E., et al. (1992). The osteological paradox: Problems of inferring prehistoric health from skeletal samples. Current Anthropology, 33(4):343-370. https://doi.org/10.1086/204084
Wood, J.W., Holman, D.J., O’Connor, K.A., & Ferrell, R.J. (2002). Mortality models for paleodemography. In: Hoppa, R.D., & Vaupel, J.W., (eds). Paleodemography: Age Distributions from Skeletal Samples. Cambridge: Cambridge University Press, p.129-168.
Woodfill, B.K.S. (2007). Shrines of the Pasion-Verapaz Region, Guatemala: Ritual and exchange along an ancient trade route. [Thesis] Vanderbilt University.