scholarly journals WHEN DID THE INCAS BUILD MACHU PICCHU AND ITS SATELLITE SITES? NEW APPROCHES BASED ON RADIOCARBON DATING

Radiocarbon ◽  
2020 ◽  
pp. 1-15
Author(s):  
Mariusz Ziółkowski ◽  
Jose Bastante Abuhadba ◽  
Alan Hogg ◽  
Dominika Sieczkowska ◽  
Andrzej Rakowski ◽  
...  

ABSTRACT According to the classical chronology of the Inca State, the ascension to power of Pachacuti Inca took place around AD 1438 and the construction of Machu Picchu began by AD 1450–1460. However, the improvement in the accuracy of radiocarbon (14C) dating resulting from the application of Bayesian analysis has changed our view of the historical chronology. This new research raises questions about our understanding of the cultural development of the Machu Picchu area, in the light of the new proposed chronological scheme. This paper presents a set of 11 new 14C dates, derived from AMS, from the sites of Llaqta of Machu Picchu, Chachabamba, and Choqesuysuy. The latter two sites are situated within the Machu Picchu National Archaeological Park (Arqueología del Santuario Histórico Nacional y Sitio Patrimonio Mundial de Machu Picchu) and have been interpreted as being part of the contemporary Late Horizon Inca landscape. The new 14C ages are modeled using Bayesian inference and present a revised dating framework for these sites and their chronological relationship with Llaqta of Machu Picchu.

Radiocarbon ◽  
2001 ◽  
Vol 43 (2B) ◽  
pp. 1109-1114 ◽  
Author(s):  
Zhiyu Guo ◽  
Kexin Liu ◽  
Xiangyang Lu ◽  
Hongji Ma ◽  
Kun Li ◽  
...  

Tianma-Qucun is the biggest site of Western Zhou Dynasty discovered in Shanxi Province, China. It has been recognized as the early capital of Jin, a vassal state of Western Zhou. The territories were granted to the first Marquis of Jin with the title in the early days of Western Zhou. Bone sample series from the site were radiocarbon-dated by accelerator mass spectrometry (AMS) and calibrated with the Oxford calibration program OxCal 3.5. Bayesian analysis of the calibrated ages shows that the earliest residents of the Western Zhou came to Tianma-Qucun area in 1020–940 BC and the lower boundary of the Western Zhou is 796–754 BC, which corresponds well to the historical record 770 BC.


2019 ◽  
Vol 84 (4) ◽  
pp. 748-761 ◽  
Author(s):  
Timothy J. Abel ◽  
Jessica L. Vavrasek ◽  
John P. Hart

The results of Bayesian analysis using 43 new high-precision AMS radiocarbon dates on maize, faunal remains, and ceramic residues from 18 precontact Iroquoian village sites in Northern New York are presented. Once thought to span AD 1350–1500, the period of occupation suggested by the modeling is approximately AD 1450–1510. This late placement now makes clear that Iroquoians arrived in the region approximately 100 years later than previously thought. This result halves the time in which population growth and significant changes in settlement occurred. The new chronology allows us to better match these events within a broader Northeast temporal framework.


2007 ◽  
Vol 34 (1) ◽  
pp. 38-47 ◽  
Author(s):  
Robert Gordon ◽  
Robert Knopf

2015 ◽  
Vol 28 (3) ◽  
pp. 371-383
Author(s):  
Youngseon Lee ◽  
Jaeyong Lee ◽  
Jangsuk Kim

Entropy ◽  
2018 ◽  
Vol 20 (12) ◽  
pp. 919
Author(s):  
María Martel-Escobar ◽  
Francisco-José Vázquez-Polo ◽  
Agustín Hernández-Bastida 

Problems in statistical auditing are usually one–sided. In fact, the main interest for auditors is to determine the quantiles of the total amount of error, and then to compare these quantiles with a given materiality fixed by the auditor, so that the accounting statement can be accepted or rejected. Dollar unit sampling (DUS) is a useful procedure to collect sample information, whereby items are chosen with a probability proportional to book amounts and in which the relevant error amount distribution is the distribution of the taints weighted by the book value. The likelihood induced by DUS refers to a 201–variate parameter p but the prior information is in a subparameter θ linear function of p , representing the total amount of error. This means that partial prior information must be processed. In this paper, two main proposals are made: (1) to modify the likelihood, to make it compatible with prior information and thus obtain a Bayesian analysis for hypotheses to be tested; (2) to use a maximum entropy prior to incorporate limited auditor information. To achieve these goals, we obtain a modified likelihood function inspired by the induced likelihood described by Zehna (1966) and then adapt the Bayes’ theorem to this likelihood in order to derive a posterior distribution for θ . This approach shows that the DUS methodology can be justified as a natural method of processing partial prior information in auditing and that a Bayesian analysis can be performed even when prior information is only available for a subparameter of the model. Finally, some numerical examples are presented.


Radiocarbon ◽  
2007 ◽  
Vol 49 (2) ◽  
pp. 1133-1143 ◽  
Author(s):  
N Piotrowska ◽  
I Hajdas ◽  
G Bonani

A radiocarbon chronology of lake sediments deposited in Lake Wigry during the Last Glacial and Holocene periods provided the basis for calendar age-depth modeling. Various fractions (organics and carbonates) were dated and the results were subjected to critical analysis. The dates affected by reservoir effects as well as outlying data were excluded, and the non-linear age model was developed based on 13 ages. The statistical tools used for construction of the models include the Bayesian analysis, applied for calibration of 14C dates with regard to stratigraphical position of the samples, and generalized additive models (GAM).


2001 ◽  
Vol 13 (5) ◽  
pp. 993-1002 ◽  
Author(s):  
Akio Utsugi ◽  
Toru Kumagai

For Bayesian inference on the mixture of factor analyzers, natural conjugate priors on the parameters are introduced, and then a Gibbs sampler that generates parameter samples following the posterior is constructed. In addition, a deterministic estimation algorithm is derived by taking modes instead of samples from the conditional posteriors used in the Gibbs sampler. This is regarded as a maximum a posteriori estimation algorithm with hyperparameter search. The behaviors of the Gibbs sampler and the deterministic algorithm are compared on a simulation experiment.


2020 ◽  
Vol 245 ◽  
pp. 06001
Author(s):  
Allen Caldwell ◽  
Cornelius Grunwald ◽  
Vasyl Hafych ◽  
Kevin Kröninger ◽  
Salvatore La Cagnina ◽  
...  

In all but the simplest cases, performing data analysis based on Bayesian reasoning requires the use of advanced algorithms. The Bayesian Analysis Toolkit (BAT) provides a collection of algorithms and methods that facilitate the application of Bayesian statistics to user-defined problems of arbitrary complexity. With BAT.jl, we present a modern rewrite of BAT in the Julia programming language. Through the use of a modular software design that is capable of running parallel and distributed, and by extending the tool with new sampling and integration algorithms, BAT.jl is a high-performance framework for Bayesian inference, meeting the requirements of modern data analysis.


10.2196/14419 ◽  
2019 ◽  
Vol 21 (11) ◽  
pp. e14419 ◽  
Author(s):  
Marcus Bendtsen

Background Almost a decade ago, Sweden became the first country to implement a national system enabling student health care centers across all universities to routinely administer (via email) an electronic alcohol screening and brief intervention to their students. The Alcohol email assessment and feedback study dismantling effectiveness for university students (AMADEUS-1) trial aimed to assess the effect of the student health care centers’ routine practices by exploiting the lack of any standard timing for the email invitation and by masking trial participation from students. The original analyses adopted the conventional null hypothesis framework, and the results were consistently in the expected direction. However, since for some tests the P values did not pass the conventional .05 threshold, some of the analyses were necessarily inconclusive. Objective The outcomes of the AMADEUS-1 trial were derived from the first 3 items of the Alcohol Use Disorders Identification Test (AUDIT-C). The aim of this paper was to reanalyze the two primary outcomes of the AMADEUS-1 trial (AUDIT-C scores and prevalence of risky drinking), using the same models used in the original publication but applying a Bayesian inference framework and interpretation. Methods The same regression models used in the original analysis were employed in this reanalysis (linear and logistic regression). Model parameters were given uniform priors. Markov chain Monte Carlo was used for Bayesian inference, and posterior probabilities were calculated for prespecified thresholds of interest. Results Where the null hypothesis tests showed inconclusive results, the Bayesian analysis showed that offering an intervention at baseline was preferable compared to offering nothing. At follow-up, the probability of a lower AUDIT-C score among those who had been offered an intervention at baseline was greater than 95%, as was the case when comparing the prevalence of risky drinking. Conclusions The Bayesian analysis allows for a more consistent perspective of the data collected in the trial, since dichotomization of evidence is not looked for at some arbitrary threshold. Results are presented that represent the data collected in the trial rather than trying to make conclusions about the existence of a population effect. Thus, policy makers can think about the value of keeping the national system without having to navigate the treacherous landscape of statistical significance. Trial Registration ISRCTN Registry ISRCTN28328154; http://www.isrctn.com/ISRCTN28328154


Politeja ◽  
2021 ◽  
Vol 18 (5(74)) ◽  
pp. 241-256
Author(s):  
Fiorenzo Fantuz

The article presents the conceptualisations that constitute the theoretical basis of a new study pursuing sociological understanding of some major social changes which have affected Polish cities in recent years. Poland has increasingly aligned itself with European countries in terms of political, socio-economic and cultural development. New flows of international immigration, meaning new individuals choosing Poland as the country where to work and settle, are making Polish cities more diverse and complex, both in a material and in a cultural way. The new research focuses on the role of foreigners as actors of urban diversification in Poland, analysing features of globalising cities, processes of Europeanisation, migrants’ discursive categorisation and anchoring. The article is conceived as a selection of critical problematisations.


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