Markov chain analysis of vertical facies sequences using a computer software package (SAVFS): Courtmacsherry Formation (Tournaisian), Southern Ireland

Xu, Hanqiu; MacCarthy, I. A. J.

doi:10.1016/s0098-3004(97)00086-1

Cited by 14 publications

(11 citation statements)

References 12 publications

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“…The EMC has long history and is rooted in the work of Gingerich (1969), Selley (1969), Read (1969), Türk (1979Türk ( , 1982, Walker (1979), Harper (1984), Powers and Easterling (1982) and many others. Numerous techniques exist to apply EMC; all are based on the same principle, and can be divided into five steps (Xu and Maccarthy, 1998;Labat, 2004):…”

Section: Methodsmentioning

confidence: 99%

“…Gingerich (1969) and Selley (1969) methods are considered as the earliest in the EMC field. However they did not solve correctly the problem of randomness tests as well as the determination of a given difference (for more details readers can refer to the review article of Xu and Maccarthy (1998) and the comment of this article made by Türk (2002). Some modifications have been advocated by Türk (1979Türk ( , 1982, Powers and Easterling (1982), Harper (1984a,b); improvements were made in order to detect outliers in the original transition matrix and to test randomness of the sequence.…”

Section: Deducing Difference Matrix ;mentioning

confidence: 99%

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An application of Embedded Markov chain for soil sequences: Case study in North Western part of Algeria

Kazi-Tani¹,

Gaouar²

2016

EJSS

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Embedded Markov chain (EMC) has long history in geological domains, particularly to define the most representative sequences from statigraphic logs. In other words, what is viewed as a meaningless and disordered stratigraphic layer stack can be reorganized in a meaningful sequence by using EMC. This method was transposed in this paper to obtain soil sequences from data retrieved from soil map made by authors, covering a part of the region of Traras (N.W. of Algeria) and containing 13 major soil types. Each major soil type occupies at least one polygon in the map and allow to establish soil adjacencies, which have been tabulated in a matrix regardless to the direction. Three EMC methods have been tested, Walker, Harper and Türk using Strati-signal software and to erect soil relationship diagrams (SRD) representing the most significant links between soils. Significant test is the main difference between the above mentioned three EMC methods. It has been shown that Harper method is quite insensitive to small number of transitions. Besides, all three methods agreed for one soil sequence made by four soils: lithics leptosols-cambisols chormics-cambisols calcarics-fluvisols representing theoretical catena the most representative to the study area. This soil sequence is relevant to the study region and even to the whole Mediterranean region, and is commanded by the topography and the Mediterranean bioclimate. Walker SRD is the most realistic but the most difficult to interpret because of the high number of soil links, Harper SRD gives interesting results. Although the results didn't bring something new to the soil interpretation and soil pedogensis but EMC applied to a finer scale may highlights other hidden relationships between soils.

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Section: Methodsmentioning

confidence: 99%

Section: Deducing Difference Matrix ;mentioning

confidence: 99%

An application of Embedded Markov chain for soil sequences: Case study in North Western part of Algeria

Kazi-Tani¹,

Gaouar²

2016

EJSS

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“…Krawczyk, 1980;Powers & Easterling, 1982;Calder, 1993;Słomka, 1986Słomka, , 1995Xu & MacCarthy, 1998;Wagner et al, 2000;Słomka & Słomka, 2001;Mastej, 2002Mastej, , 2007Mastej et al, 2003;Wagner, 2007;Doktor et al, 2010). According to Walther's law two neighbouring lithofacies in a vertical section must also be neighbours laterally (Walther, 1894).…”

Section: Methodsmentioning

confidence: 99%

Analysis of lithofacies cyclicity in the Miocene Coal Complex of the Bełchatów lignite deposit, south-central Poland

2015

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Markov chain analysis was applied to studies of cyclic sedimentation in the Coal Complex of the Bełchatów mining field (part of the Bełchatów lignite deposit). The majority of ambiguous results of statistical testing that were caused by weak, statistically undetectable advantage of either cyclicity over environmental barriers or vice versa, could be explained if only the above-mentioned advantages appeared in the neighbourhood. Therefore, in order to enhance the credibility of statistical tests, a new approach is proposed here in that matrices of observed transition numbers from different boreholes should be added to increase statistical reliability if they originated in a homogeneous area. A second new approach, which consists of revealing statistically undetectable cyclicity of lithofacies alternations, is proposed as well. All data were derived from the mining data base in which differentiation between lithology and sedimentary environments was rather weak. For this reason, the methodological proposals are much more important than details of the sedimentation model in the present paper. Nevertheless, they did reveal some interesting phenomena which may prove important in the reconstruction of peat/lignite environmental conditions. First of all, the presence of cyclicity in the sedimentation model, i.e., cyclic alternation of channel and overbank deposits, represents a fluvial environment. It was also confirmed that the lacustrine subenvironment was cut off from a supply of clastic material by various types of mire barriers. Additionally, our analysis revealed new facts: (i) these barriers also existed between lakes in which either carbonate or clay sedimentation predominated; (ii) there was no barrier between rivers and lakes in which clay sedimentation predominated; (iii) barriers were less efficient in alluvial fan areas but were perfectly tight in regions of phytogenic or carbonate sedimentation; (iv) groundwater, rather than surface flow, was the main source of CaCO3 in lakes in which carbonate sedimentation predominated; (v) a lack of cyclic alternation between abandoned channels and pools with clayey sedimentation; (vi) strong evidence for autocyclic alternation of phytogenic subenvironments and lakes in which carbonate sedimentation predominated was found in almost all areas studied.

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“…This is represented by a 500 m thick upward-coarsening succession divided into three formations on Whiddy Island. The succession has been described in detail by Naylor et al (1978), Jones and Naylor (2003), Xu (1996) and Xu and MacCarthy (1998). It commenced with deep water basinal deposition in which poor water circulation and oxygen deficiency were prevalent (East Point Formation).…”

Section: Upper Carboniferous-namurianmentioning

confidence: 97%

The South Munster Basin of southwest Ireland

MacCarthy¹

2007

Journal of Maps

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This paper presents a geological map at a scale of 1:75,000 of an area of about 3,500km 2 of the western part of the Devonian and Carboniferous South Munster Basin of southern Ireland. The compilation utilised existing geological data from a variety of sources in association with recent mapping. Aerial photographic data were used extensively to identify structural features not previously mapped. Geological and selected topographical information were scanned to a computer and the final compilation map was digitised using Macromedia Freehand software at a scale of 1:3,125. The map was subsequently converted to a scale of about 1:75,000.

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Markov chain analysis of vertical facies sequences using a computer software package (SAVFS): Courtmacsherry Formation (Tournaisian), Southern Ireland

Cited by 14 publications

References 12 publications

An application of Embedded Markov chain for soil sequences: Case study in North Western part of Algeria

An application of Embedded Markov chain for soil sequences: Case study in North Western part of Algeria

Analysis of lithofacies cyclicity in the Miocene Coal Complex of the Bełchatów lignite deposit, south-central Poland

The South Munster Basin of southwest Ireland

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