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Fleas in the genus Ctenocephalides serve as biological vectors or intermediate hosts of microorganisms such as bacteria, rickettsia, protozoa and helminths. Ctenocephalides felis has a worldwide distribution, while C. orientis has long been considered as a subspecies of C. felis in Asia. To help the morphological recognition of these two species and further explore their differences, we used the geometric morphometric approach applied to the head. Both sexes were examined. Five anatomical landmarks of the head were used, and to capture the curvature of the front head, 10 semilandmarks were added. There was a consistent difference in species classification accuracy when considering landmarks only versus their combination with semilandmarks, suggesting the importance of the curve of the head as a taxonomic signal. Using or not the labels in the reclassification analyses, the head shape allowed by itself almost perfect recognition of the two species, in both sexes, even after adjustment for prior probabilities. The same approach disclosed a high level of sexual size and shape dimorphism in both species. The contribution of size variation to the discrimination by shape was much more important between sexes (from 27% to 45%) than between species (from 0.7% to 7.1%). Nevertheless, in our data, size never could represent a way to reliably recognise the sex of an individual, even less its species. Geographical variation in head shape could only be explored for the C. orientis sample. No significant correlation of morphometric variation with geography could be detected, which would be consistent with gene flow between Thai provinces. The geometric morphometric approach of the flea head, when it incorporates head curves, is a promising tool for rapid, economical, and accurate species and sex identification. It is, therefore, a useful tool for future epidemiological and demographic studies. [ABSTRACT FROM AUTHOR]

This paper proposes and analyzes a novel efficient high-order finite volume method for the ideal magnetohydrodynamics (MHD). As a distinctive feature, the method simultaneously preserves two critical physical constraints: a discretely divergence-free (DDF) constraint on the magnetic field and the positivity-preserving (PP) property, which ensures the positivity of density, pressure, and internal energy. To enforce the DDF condition in each cell, we design a new discrete projection approach that projects the reconstructed point values at the cell interface into a DDF space, without using any approximation polynomials. This projection method is highly efficient, easy to implement, and particularly suitable for the high-order finite volume methods that return only the point values (no explicit approximation polynomials) in the reconstruction. Moreover, we also develop a new finite volume framework for constructing provably PP schemes for the ideal MHD system. The framework comprises the discrete projection technique, a suitable approximation to the Godunov--Powell source terms, and a simple PP limiter. We provide rigorous analysis of the PP property of the proposed finite volume method, demonstrating that the DDF condition and the proper approximation to the source terms eliminate the impact of magnetic divergence terms on the PP property. The analysis is challenging due to the internal energy function's nonlinearity and the intricate relationship between the DDF and PP properties. To address these challenges, we adopt the recently developed geometric quasilinearization approach [K. Wu and C.-W. Shu, SIAM Rev., 65 (2023), pp. 1031--1073], which transforms a nonlinear constraint into a family of linear constraints. Finally, we validate the effectiveness of the proposed method through several benchmark and demanding numerical examples. The results demonstrate that the proposed method is robust, accurate, and highly effective, confirming the significance of the proposed DDF projection and PP techniques. [ABSTRACT FROM AUTHOR]

We present a general framework for designing approximately revenue-optimal mechanisms for multi-item additive auctions, which applies to both truthful and nontruthful auctions. Given a (not necessarily truthful) single-item auction format A satisfying certain technical conditions, we run simultaneous item auctions augmented with a personalized entry fee for each bidder that must be paid before the auction can be accessed. These entry fees depend only on the prior distribution of bidder types and in particular are independent of realized bids. We bound the revenue of the resulting two-part tariff mechanism using a novel geometric technique that enables revenue guarantees for many common nontruthful auctions that previously had none. Our approach adapts and extends the duality framework of Cai, Devanur, and Weinberg [SIAM J. Comput., 50 (2021), pp. STOC16-160--STOC16-200] beyond truthful auctions. Our framework can be used with many common auction formats, such as simultaneous first-price, simultaneous second-price, and simultaneous all-pay auctions. Our results for first-price and all-pay are the first revenue guarantees of nontruthful mechanisms in multidimensional environments, addressing an open question in the literature [T. Roughgarden, V. Syrgkanis, and E. Tardos, J. Artificial Intelligence Res., 59 (2017), pp. 59--101]. If all-pay auctions are used, we prove that the resulting mechanism is also credible in the sense that the auctioneer cannot benefit by deviating from the stated mechanism after observing agent bids. This is the first static credible mechanism for multi-item additive auctions that achieves a constant factor of the optimal revenue. If second-price auctions are used, we obtain a truthful O(1)-approximate mechanism with fixed entry fees that are amenable to tuning via online learning techniques. [ABSTRACT FROM AUTHOR]

Simple Summary: The stable fly, Stomoxys calcitrans (Diptera: Muscidae), is the predominant Stomoxys spp. in Thailand and is considered a pest for livestock, pets, wildlife, and occasionally humans. This study investigated the phenotypic variation in the wing size and shape of S. calcitrans populations from different geographical regions in Thailand using landmark-based geometric morphometric analysis. Results showed strong spatial variation in wing shape among S. calcitrans populations and thus suggested the existence of phenotypic plasticity in this fly. Stomoxys calcitrans (Linnaeus, 1758) (Diptera: Muscidae) is a cosmopolitan hematophagous ectoparasite of veterinary and medical importance. It is an important mechanical vector of several animal pathogens and can cause significant economic losses. However, the morphological variation of this species remains unknown. This study aimed to investigate the phenotypic variation in the wing size and shape of S. calcitrans populations in Thailand based on a landmark-based geometric morphometric approach. Specimens were collected from five populations in five geographical regions in Thailand. A total of 490 left wings of S. calcitrans (245 female and 245 male individuals) were used for geometric morphometric analysis. Wing size differences were detected between some populations of S. calcitrans, whereas wing shape differences were found among populations. Therefore, the phenotypic variation in S. calcitrans populations indicated that these populations are adaptive responses to local environmental pressures, suggesting the presence of phenotypic plasticity in this species. [ABSTRACT FROM AUTHOR]

• The first report of landmarks-based approach on posterior spiracles of blow fly larvae. • High percentage of correct classification in most species, ranking from 86% to 100%. • Our data (800 specimens) provide as a data bank for further analysis. Fly identification is the primary step of analysis in forensic entomology. Although morphology and molecular techniques are considered satisfactory methods, some constraints may arise from a financial or even human point of view. Over the past decade, the geometric morphometric approach has been increasingly advocated for the classification and identification of arthropods. This study explored the method for species identification of 800 third-instar larvae of eight blow fly species of medical and forensic importance: Chrysomya chani Kurahashi, Chrysomya megacephala (Fabricius), Chrysomya (Ceylonomyia) nigripes Aubertin, Chrysomya pinguis (Walker), Chrysomya (Achoetandrus) rufifacies (Macquart), Hemipyrellia ligurriens (Wiedemann), Lucilia cuprina (Wiedemann), and Lucilia porphyrina (Walker). Based on the posterior spiracles geometry, the cross-validation revealed a relatively high percentage of correct classification in most species, ranking from 86% to 100%. The results of this study confirmed that the geometric morphometric (GM) analysis of posterior spiracles might be utilized as a larva identification tool. Therefore, this GM method represents one way of overcoming difficulties with the identification of blow fly larvae and can support further studies of these flies. [Display omitted] [ABSTRACT FROM AUTHOR]

We investigate a sheaf-theoretic interpretation of stratification learning from geometric and topological perspectives. Our main result is the construction of stratification learning algorithms framed in terms of a sheaf on a partially ordered set with the Alexandroff topology. We prove that the resulting decomposition is the unique minimal stratification for which the strata are homogeneous and the given sheaf is constructible. In particular, when we choose to work with the local homology sheaf, our algorithm gives an alternative to the local homology transfer algorithm given in Bendich et al. (Proceedings of the 23rd Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 1355–1370, ACM, New York, 2012), and the cohomology stratification algorithm given in Nanda (Found. Comput. Math. 20(2), 195–222, 2020). Additionally, we give examples of stratifications based on the geometric techniques of Breiding et al. (Rev. Mat. Complut. 31(3), 545–593, 2018), illustrating how the sheaf-theoretic approach can be used to study stratifications from both topological and geometric perspectives. This approach also points toward future applications of sheaf theory in the study of topological data analysis by illustrating the utility of the language of sheaf theory in generalizing existing algorithms. [ABSTRACT FROM AUTHOR]

Poor classification trends of Hispanic individuals have been shown when using the statistical software Fordisc 3.1 (FD3), which is commonly used by practitioners to estimate ancestry for unidentified skeletal cases (Jantz & Ousley 2005; Ousley & Jantz 2012). Similarities in craniometric dimensions were identified between Asian and Hispanic groups when performing discriminant function and canonical variate analysis using FD3 (Dudzik & Jantz 2016; Jantz & Ousley 2005). Hispanic cases were shown to often classify as Asian and showed a particularly close relationship with Japanese individuals, as illustrated by small Mahalanobis distances. This study further explores these misclassification trend findings by comparing craniometric analyses with geometric morphometric approaches to better identify morphological overlap between Asian and Hispanic populations. Geometric morphometric analyses have become increasingly useful for studies of cranial shape, and inter-landmark distances have been shown to more accurately estimate population affinity than standard cranial measurements (Spradley & Jantz 2016). Based on this evidence, a more detailed analysis of the morphological similarities between Asian and Hispanic craniometrics is warranted using geometric morphometric approaches. Data sets used include coordinate data of a subset of the Hispanic sample included in FD3 as well as individuals from Japan, Thailand, Korea, and China. Results show that variation among samples can be better identified to describe which dimensions of the cranium exhibit the most overlap across populations. Specifically, comparisons between the Asian and Hispanic data showed that the position of landmarks mainly representing dimensions of the neurocranium are useful for accurately predicting group membership. [ABSTRACT FROM AUTHOR]

Aedes mosquitoes belong to a subgenus of Stegomyia (Diptera: Culicidae), which are dengue and chigunkunya vectors, including Aedes aegypti, Ae. albopictus, and Ae. scutellaris, and have a worldwide distribution in tropical and subtropical regions. Species identification of mosquitoes is challenging yet necessary to select appropriate control methods for each species. In this study, we have analyzed the different wing components for identification to find the optimal outline for Aedes mosquito analysis by an outline-based GM approach. Two internal and external outlines of the wing were considered for Aedes species identification in this study. A total of 90 Aedes wings were analysed, divided into 30 wings per species (Ae. aegypti, Ae. albopictus, and Ae. scutellaris). The results showed that the mean size of Ae. albopictus had the largest wings, followed by Ae. Aegypti, and Ae. scutellaris, respectively, in all the internal and external outlines. While, the shape analysis in the three outlines were expressed by the factor map, the statistical difference and cross-validated classification scores indicated the ability of the outline-based GM approach to distinguish species of Aedes mosquitoes. The external outline has a relatively good range of cross-validated classification scores compared to the other internal outlines. The results of this research reveal the suitability of this external outline to identify species of Aedes vectors in Thailand. [ABSTRACT FROM AUTHOR]