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Non-Metric Variation

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lightbulbAbout this topic
Non-metric variation refers to the differences in biological traits or characteristics that are not quantifiable by standard measurement scales, often assessed through qualitative observations. This concept is significant in fields such as anthropology and biology, where it aids in understanding diversity and evolutionary relationships among species or populations.
lightbulbAbout this topic
Non-metric variation refers to the differences in biological traits or characteristics that are not quantifiable by standard measurement scales, often assessed through qualitative observations. This concept is significant in fields such as anthropology and biology, where it aids in understanding diversity and evolutionary relationships among species or populations.

Key research themes

1. How is non-metric variation in function spaces and geometric structures characterized and analyzed within variable and metric measure frameworks?

This theme focuses on the mathematical characterization and analysis of non-metric variations, particularly total variation, p-variation, and generalized notions of variation in variable or metric measure spaces. It is crucial for understanding function regularity, convergence, and geometric measure properties beyond classical Euclidean settings.

Key finding: The paper establishes a variational framework for total variation flow (TVF) on metric measure spaces endowed with a doubling measure and a Poincaré inequality, extending classical TVF results to nonlinear, possibly nonsmooth... Read more
Key finding: The authors develop a general foundation for defining regular variation of Borel measures on complete separable metric spaces closed under nonnegative scalar multiplication. They introduce a notion of measure convergence... Read more
Key finding: Addressing variable exponent bounded variation (BV p(•)) spaces, the paper proves that classical convolution integral operators converge in variable variation norm, given functions with p(•)-absolute continuity. The authors... Read more
Key finding: The authors introduce and study spaces of functions with bounded (p(⋅), 2)-variation, extending the classical bounded variation concepts to variable exponent frameworks and higher-order variation (second order). They provide... Read more
Key finding: This paper generalizes bounded variation by combining Riesz φ-variation with Popoviciu's k-variation, introducing (φ, k)-variation for real functions on compact intervals. It characterizes bounded (φ, k)-variation functions... Read more

2. How are non-metric skeletal traits related to functional adaptation, pathology, and population variability in anthropological and archaeological contexts?

This research area examines the occurrence, morphological variation, and functional significance of non-metric skeletal traits, including osseous variations and dental morphology, linking them to biomechanical stresses, cultural behaviors, pathological conditions, and phylogenetic or population history interpretations in bioarchaeology and physical anthropology.

Key finding: The paper synthesizes contemporary biomedical and anthropological knowledge on entheseal changes (enthesopathies) emphasizing their multifactorial etiology. It distinguishes fibrocartilaginous entheses, which preserve... Read more
Key finding: This study relates contemporary clinical insights on femoroacetabular impingement (FAI) — particularly cam-type deformities causing morphological 'bumps' on the anterolateral femoral head–neck junction — to classical... Read more
Key finding: The study documents frequency and variability of 28 non-metric traits in the deciduous molars of four great ape taxa (Pan troglodytes, Pan paniscus, Gorilla gorilla, Gorilla beringei). It demonstrates that these traits vary... Read more
Key finding: This comprehensive review highlights total variation (TV) as a robust edge-preserving regularization method useful for imaging inverse problems. By penalizing the TV norm, solutions avoid over-smoothing edges, common in L2... Read more
Key finding: The paper reports a cranial non-metric trait, the presence of an alternative foramen for the inferior petrosal sinus, exhibiting a geographically restricted distribution to Oceania populations at a frequency between 4–21%.... Read more

3. How can non-metric and metric trait correlations inform cultural transmission, artifact design integration, and evolutionary morphological analysis in archaeological contexts?

This theme explores the relationships among metric and non-metric morphological traits in archaeological artifacts and skeletal remains to elucidate cultural evolutionary processes including transmission biases, correlational selection acting on integrated trait complexes, and population continuity or migration.

Key finding: Through detailed metric analysis of concave-based triangular projectile points from well-dated Late Period archaeological sites, the authors document low variation degrees and strong positive correlations among measured... Read more
Key finding: Comparative analysis of 11 Polish populations reveals that non-metric cranial traits primarily vary along geographic gradients, whereas metrical traits align more strongly with temporal (chronological) changes. Principal... Read more
Key finding: The paper characterizes globally Lipschitz Nemytskii operators mapping set-valued functions of bounded p-variation into q-variation spaces (with 1 ≤ q ≤ p < ∞). It proves such operators must be affine linear of the form (N... Read more
Key finding: Analyzing 68 disarticulated crania from medieval Stoke Quay reveals a high frequency of accessory ossicles (wormian bones) correlating with evidence of chronic infection and pathology. The study advances methodology by... Read more
Key finding: Anthropological examination of early Neolithic Shamanka II cemetery reveals minimal cranial morphological differentiation among fossil populations, with noted presence of pathological traits likely induced by environmental... Read more

All papers in Non-Metric Variation

Alman Arkeoloji Enstitüsü'nün (DAI) Kısaltmalar Dizini'nde 'OLBA' şeklinde yer almaktadır. OLBA dergisi hakemlidir ve Mayıs ayında olmak üzere, yılda bir kez basılmaktadır. Published each year in May. KAAM'ın izni olmadan OLBA'nın hiçbir... more
Sled dogs are among the most iconic animals of the North, and their efforts in pulling sleds facilitated trade and subsistence practices that sustained many Indigenous groups for thousands of years. Unfortunately, the history of dog... more
The ability to make behavioural inferences from skeletal remains is critical to understanding the lifestyles and activities of past human populations and extinct animals. Muscle attachment site (enthesis) morphology has long been assumed... more
The ability to make behavioural inferences from skeletal remains is critical to understanding the lifestyles and activities of past human populations and extinct animals. Muscle attachment site (enthesis) morphology has long been assumed... more
RESUMEN: Se estudi6 la estructura de la poblaci6n prehist6rica del sector septentrional del noroeste argentino mediante el empleo de caracteres no-mCtricos del crjneo. La muestra est5 constituida por 673 individuos pertenecientes a las... more
Quelques remarques à propos du conflit fémoro-acétabulaire antérieur et des variations osseuses non-métriques de la face antérieure du col du fémur
A team of archaeologists discovered numerous human remains during three seasons of excavations and architectural analysis at Capela de Nossa Senhora da Victoria (Our Lady of Victory Chapel) in Rio Maior, Portugal between 1987 and 1989.... more
Objectives: Ancestry and sex estimation using craniometric indices is an important aspect of skeletal identification process, as it limits the number of antemortem records used to compare with a postmortem profile and establish a positive... more
El os trigonum es un osículo que normalmente aparece durante la infancia y normalmente se fusiona a la parte posterior del astrágalo alrededor de la edad de 8-11 años. En ocasiones, puede haber una interrupción en el proceso de fusión... more
Aim: The aim of our study is to evaluate of anatomical localization of infraorbital foramen, canal and sulcus by using cone beam computed tomography. Material and Method: In this descriptive study, cone beam computed tomography images of... more
Âî âðåìÿ ïðîâåäåíèÿ äèôôåðåíöèàëüíîé äèàãíîñòèêè èñïîëüçîâàëñÿ ìåòîä êîìïüþòåðíîé òîìîãðàôèè. Èññëåäîâàíèå ïðîâåäåíî íà 128-ñðåçîâîì êîìïüþòåðíîì òîìîãðàôå «Somatom Definition» (Siemens) ñ äâóìÿ ðåíòãåíîâñêèìè òðóáêàìè. Ðåçóëüòàòû. Â... more
Se evalúan las relaciones entre San Pedro de Atacama (SPA, 400-1535 d.C.) y la Puna de Jujuy(PJ, 1029-1497 d.C.) por su posible influencia en la estructura genética de ambas poblaciones. Las distribuciones de frecuencias basadas en rasgos... more
The purpose of this study was to determine the incidence of wormian bones (WBs) in different head shapes of Nepalese skulls along with their distribution at various sites. This study was conducted on 70 Nepalese skulls obtained from the... more
This work proposes a methodology for documenting metric patterns of variation and trait correlation in Late Period (ca. CE 900-1500) projectile points from the Puna and pre-Puna of Salta, Argentina. In so doing, our main goal is to... more
Introduction: Environmental factors such as socio-economic and nutrients factor can affect the dimensions and proportions of the body. Nutritional intake has a long-term effect on physical growth and can be assessed through body mass... more
In this paper, we analyze shell and stone beads recovered from the San Matias Gulf, Rio Negro coast (Argentina), using qualitative and quantitative methods. To this end, metric and geometric morphometric (elliptic Fourier analysis)... more
Age-at-death, sex, and stature estimation from adult human skeletal remains lie at the core of bioarchaeological and forensic anthropological research. Several methods have been proposed for such estimations, with almost all of them being... more
Age-at-death, sex, and stature estimation from adult human skeletal remains lie at the core of bioarchaeological and forensic anthropological research. Several methods have been proposed for such estimations, with almost all of them being... more
Ìàòåðèàëû è ìåòîäû. Ãåíîôîíäû îõîòíèêîâ-îëåíåâîäîâ-òîôàëàð (N=45, 3 ïîïóëÿöèè) è òîäaeèíöåâ (N=90, 3 ïîïóëÿöèè)-èçó÷åíû ïî îáøèðíîé ïàíåëè 63 SNP è 17 STR-ìàðêåðîâ Y-õðîìîñîìû â êîíòåêñòå íàðîäîâ Ñèáèðè è Öåíòðàëüíîé Àçèè.  âûáîðêè... more
Ìàòåðèàëû è ìåòîäû. Ãåíîôîíäû îõîòíèêîâ-îëåíåâîäîâ-òîôàëàð (N=45, 3 ïîïóëÿöèè) è òîäaeèíöåâ (N=90, 3 ïîïóëÿöèè)-èçó÷åíû ïî îáøèðíîé ïàíåëè 63 SNP è 17 STR-ìàðêåðîâ Y-õðîìîñîìû â êîíòåêñòå íàðîäîâ Ñèáèðè è Öåíòðàëüíîé Àçèè.  âûáîðêè... more
Studies on identified skeletal collections yield discordant results about the association between osseous changes and activity. These dissonances can be ascribed to several factors: the variability of the osseous changes selected for... more
RESUMEN: A partir de la dCcada de 1960 se increment6 el empleo de 10s rasgos no mktricos del crineo en 10s anilisis de relaciones poblacionales. Si bien uno de 10s supuestos en que se bas6 el uso de estos rasgos es la facilidad de... more
Objective: To evaluate the cephalic indices among Bataknese school students. Material and Methods: An observational study was performed by measuring 95 Bataknese children aged 3-5 years using a purposive sampling technique. The vertical... more
Amaç: Çalışmanın amacı, Anadolu popülasyonundaki palatal ruga örneklerini, sayı, uzunluk, şekil, yan dallarıyla birleşme ve yerleşim yönleri açısından incelemek, cinsiyetlere göre dağılımını belirlemek, palatal rugaların adli vakalarda ve... more
Amaç: Çalışmanın amacı, Anadolu popülasyonundaki palatal ruga örneklerini, sayı, uzunluk, şekil, yan dallarıyla birleşme ve yerleşim yönleri açısından incelemek, cinsiyetlere göre dağılımını belirlemek, palatal rugaların adli vakalarda ve... more
Objectives: Ancestry and sex estimation using craniometric indices is an important aspect of skeletal identification process, as it limits the number of antemortem records used to compare with a postmortem profile and establish a positive... more
There is short information about results of the monitoring of the Steller’s Sea Eagle (Haliaeetus pelagicus) population near Magadan during 18 years. Over the years 1130 breeding territories of see eagles were documented, including 490... more
Introduction: Environmental factors such as socio-economic and nutrients factor can affect the dimensions and proportions of the body. Nutritional intake has a long-term effect on physical growth and can be assessed through body mass... more
Òàäaeèêè Ñåâåðíîãî (Ñîãä), Öåíòðàëüíîãî (ðàéîíû ðåñïóáëèêàíñêîãî ïîä÷èíåíèÿ) è Þaeíîãî (Õàòëîí) Òàäaeèêèñòàíà äî íàñòîÿùåãî âðåìåíè ïðåäñòàâëÿþò ñîáîé îäèí èç íàèìåíåå èçó÷åííûõ â êðàíèîëîãè÷åñêîì îòíîøåíèè íàðîäîâ Ñðåäíåé Àçèè. Ïîñëåäíåå... more
An alternative exit of the Inferior Petrosal Sinus is described. This cranial non-metric trait occurs as a small (<7 mm) foramen found 5 – 15 mm anterior to the Jugular Foramen. The distribution of the trait appears to be restricted to... more
Proyecto académico sin fines de lucro, desarrollado bajo la iniciativa de acceso abierto Desier to (CI H DE), A r ica , Chile.
Non-metric dental traits are well established tools for anthropologists investigating population affiliation and movement in humans. Nonetheless, similar traits in the great apes have received considerably less attention. The present... more
The article elucidates the contribution of an outstanding Russian anthropologist Tatiana Sergeevna Balueva to the development of skull-based facial reconstruction technique and other fields of anthropological science. The pioneer of the... more
Boldyrevka settlement and a burial ground nearby is an archeological site in southernmost part of Saratov city dated to XIV c. AD. Archeological data suggest a certain level of prosperity of at least a part of the population which was... more
Öz Bu çalışmada, Yakınçağ'a tarihlendirilen, Tokat / Niksar galerili yeraltı yapısından karışık bir biçimde ele geçen iskelet kalıntıları, özellikle morfolojik yapının belir-lenmesi amacıyla incelenmiş, toplam 69 sol femura göre cinsiyet... more
The main idea of the article is an analysis of the question: what is the cognitive value of metrical traits of a cranium as compared with the non-metrical traits and whether the model of morphological variability described by means of... more
For more than 10,000 years, the south central Andean region was an ideal location for the development of different populations and cultural entities, interacting through a wide network of exchange and distribution of products. In spite of... more
Material for the study served 181 adults skull from burial grounds north of Western Siberia VIII - XVI centuries. The manifestations of porotic hyperostosis have been recorded on the vault and in orbits (cribra orbitalia). Author... more
2 Башкирский государственный педагогический университет им. М. Акмуллы, Уфа 3 Саратовский областной музей краеведения, Саратов 4 Саратовский государственный университет им. Н.Г. Чернышевского, Саратов Áîëäûðåâñêèé ãðóíòîâûé ìîãèëüíèê è... more
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