Individual Partitions Research Articles

Customer journey partitioning: A customer-centric conceptualization beyond stages and touchpoints

Understanding customer experiences through customer journeys has become a managerial priority. The customer experience literature divides customer journeys into stages, but these divisions disregard the customer’s perspective. Research has shown that individuals partition extended processes—such as customer journeys—into events, thereby influencing how they subsequently remember their experiences. Therefore, this paper seeks to conceptualize customer journey partitioning and its influence on the remembered experience. Based on the event segmentation and experienced utility literature, we propose that customers partition their journeys when they encounter distinctive changes, and that the interaction of customer journey partitioning and the sequence of lived experiences influences the remembered experience. We then discuss implications for customer journey design and present boundary conditions that provide nuance to these implications. This paper contributes to the customer experience literature by conceptualizing customer journey partitioning, understanding its influence on the remembered experience, and proposing new dimensions for customer journey design.

Retrospective Data Analysis Reveals Unusual Metabolism Pattern of Ethanol in Pediatrics as Compared to Adult and Geriatric Populations.

About 95% of consumed ethanol is metabolized by oxidative pathways. Less than 1% is metabolized via nonoxidative pathways: glucuronidation, sulfation, and the formation of fatty acid esters of ethanol. In neonates, the glucuronidation pathway has been reported to be underdeveloped but matures with age. This work compared the test results of patients' random urine samples submitted to our facility for ethyl glucuronide (EtG) and ethyl sulfate (EtS) measurements across pediatric and adult populations. Test results (n = 63 498) from urine samples tested for EtG and EtS by quantitative liquid chromatography-tandem mass spectrometry at our facility were utilized for this study. EtG and EtS concentrations were compared across the age partitions 0 to 17 years (pediatric), 18 to 80 years (adult), and 81 to 100 years (geriatric). Eight pediatric patients from a tertiary academic hospital contributed clinical context via abstracted clinical information. Across the individual age partitions, 60% to 65% of patients had both EtG and EtS present in urine. Approximately 5% to 10% of patients had only EtG, and 25% to 35% had neither metabolite present. The lowest percentages (<1.5%) had EtS present in the absence of EtG. Markedly, no pediatric patients had only EtS present; compared to the adult population, this was statistically significant (Fisher exact test, P = 0.025). From the data presented in this work, EtG is more prevalent relative to EtS in urine samples of patients assessed for ethanol exposure.

Clustering blood donors via mixtures of product partition models with covariates.

Motivated by the problem of accurately predicting gap times between successive blood donations, we present here a general class of Bayesian nonparametric models for clustering. These models allow for the prediction of new recurrences, accommodating covariate information that describes the personal characteristics of the sample individuals. We introduce a prior for the random partition of the sample individuals, which encourages two individuals to be co-clustered if they have similar covariate values. Our prior generalizes product partition models with covariates (PPMx) models in the literature, which are defined in terms of cohesion and similarity functions. We assume cohesion functions that yield mixtures of PPMx models, while our similarity functions represent the denseness of a cluster. We show that including covariate information in the prior specification improves the posterior predictive performance and helps interpret the estimated clusters in terms of covariates in the blood donation application.

Mwhitiwhiti Aotearoa: Phylogeny and synonymy of the silent alpine grasshopper radiation of New Zealand (Orthoptera: Acrididae).

Aotearoa New Zealand has a fauna of endemic alpine grasshoppers, consisting of thirteen species distributed among four genera. The many re-classifications of species within this group and the presence of species complexes highlight the uncertainty that surrounds relationships within and between these genera. High-throughput Next Generation Sequencing was used to assemble the complete mitochondrial genomes, 45S ribosomal cassettes and histone sequences of New Zealands four endemic alpine genera: Alpinacris, Brachaspis, Paprides and Sigaus. Phylogenetic analysis of these molecular datasets, as individual genes, partitions and combinations returned a consistent topology that is incompatible with the current classification. The genera Sigaus, Alpinacris, and Paprides all exhibit paraphyly. A consideration of the pronotum, epiphallus and terminalia of adult specimens reveals species-specific differences, but fails to provide compelling evidence for species groups justifying distinct genera. In combination with phylogenetic, morphological and spatial evidence we propose a simplified taxonomy consisting of a single genus for the mwhitiwhiti Aotearoa species radiation.

Arc-curved microchannels engraved on segmented circular heat sink for heat transfer augmentation; ANN-based performance optimization

The proficient management and supervision of thermal conditions in microelectronic equipment are becoming progressively challenging owing to the imposition of heightened heat fluxes. The exploration of recently developed microchannel heat sinks (MCHSs) is currently underway to effectively tackle this matter. Modifying the geometric characteristics of these gadgets has proven to be highly effective in augmenting their comprehensive performance. In the present study, a novel arc-curved microchannels engraved on segmented circular heat sink and introduced configurations comprising of six discrete segments of spiral microchannels. The study focused on examining the influence of individual partitions on the Nusselt number (Nu) and pressure drop (ΔP) of the MCHS. The obtained results demonstrate that all the proposed configurations exhibit considerably higher values of the Nu in comparison to the reference MCHS consisting of 21 rectangular channels. Nevertheless, the notable augmentation in the value of the parameter Nu occurred simultaneously with an escalated ΔP. Hence, the relative efficiency index was employed as a more precise measure for evaluations. All of the designs suggested in this investigation were found to be effective when subjected to volume flow rates surpassing 47.303 ml/min. In an illustrative case, the segmented circular MCHS encompassing 10 spiral microchannels exhibited an enhanced overall efficiency of 25.9 % when operated at a volume flow rate of 66.225 ml/min, as compared to the benchmark design. In addition, artificial neural networks (ANN) were utilized to comprehensively scrutinize the influence of variables and construct a prognostic model to ascertain the overall effectiveness of the MCHS, obviating the necessity for convoluted, time-consuming, and costly experimental procedures and computations. The presentation of the Pareto optimal points effectively portrayed the optimal and unfavorable outcomes under consideration.

Sorting of Cluster-Confined Metallic Single-Walled Carbon Nanotubes for Fabricating Atomically Vacant Uranium Oxide.

Single-walled carbon nanotube (SWCNT) heterostructures have shown great potential in catalysis, magnetism, and nanofluidics, in which host SWCNTs with certain conductivity (metallic or semiconducting) are highly required. Herein, inspired by the large molecular weight and redox properties of polyoxometalate (POM) clusters, we reported the selective separation of POM encapsulated metallic SWCNTs (POM@m-SWCNTs) with a uniform diameter through density gradient ultracentrifugation (DGU). The confined POMs increased the SWCNT density and amplified the nanotubes' density difference, thus greatly lowering the centrifugal force (70,000g) of DGU. With this strategy, a series of POM@m-SWCNTs of ∼1.2 nm with high purity were sorted. The mechanism supported by theoretical and experimental evidence showed that the separation of m-SWCNTs depended on not only nanotube/cluster size but also the conductivity of SWCNTs. The smallest 1.2 nm m-SWCNT that can exactly accommodate a 0.9 nm-{Mo6} cluster exhibited the maximum electron transfer to inner clusters; thus, intertube π-π stacking of such m-SWCNTs was greatly loosened, leading to the preferential dispersion into individual ones and partitioning in the uppermost layer after DGU. As a proof-of-concept application, this sorting strategy was extended to separate heavy-element 238U-encapsulated m-SWCNTs. The phase-pure, tiny (1-2.5 nm) U4O9 crystals with atomic vacancy clusters were fabricated on m-SWCNTs through growth kinetic control. This work may provide a general way to construct desired actinide materials on specific SWCNTs.

Fragrance in dermocosmetic emulsions: From microstructure to skin application.

Fragrance is added to almost all dermocosmetic emulsions, as it has been found to be a key driver in consumer choice and contributes to the perception of product performance. Fragrance is a complex mixture of odorant chemicals at different concentrations. When incorporated into a formulation, the individual fragrance chemicals partition between the emulsion phases depending on their physicochemical properties, which can impact the structure, stability, texture and odour of the final product. On the other hand, it is well known in the food industry how the composition and structure of food emulsion matrices influence the release of aroma chemicals. Fragranced dermocosmetic emulsions have been studied to a lesser extent but it is interesting to apply findings from the food domain since emulsion structure, composition and aroma compounds share common features. This review aims to give an overview of the literature dealing with the interactions between fragrance and dermocosmetic emulsions. The effects of fragrance on emulsion microstructure, stability and texture are highlighted and discussed. The effects of composition and structure of emulsion on the release of fragrance molecules are also presented. Finally, the interactions between skin and fragranced emulsions are addressed.

Reconstituted skim milk concentration affects partitioning of some individual caseins between rennet curd and whey

Milk composition is a major factor determining cheesemaking efficiency where caseins (CNs) play key roles, but little is known about individual partitioning during coagulation. This study evaluated the impact of reconstituted skim milk concentration (8%–25% solids) on the partitioning of individual CNs between rennet curd and whey produced with or without slight acidification. αs2‐CN and intact κ‐CN fractions partitioned in rennet whey were less than 10% and decreased with rise in milk concentration, whereas αs1‐CN and β‐CN appeared 100% retained into the curds. Loss of some αs2‐ and κ‐CN into rennet whey is attributed to their soluble complexes with whey proteins.

Late Fusion Multiple Kernel Clustering With Proxy Graph Refinement.

Multiple kernel clustering (MKC) optimally utilizes a group of pre-specified base kernels to improve clustering performance. Among existing MKC algorithms, the recently proposed late fusion MKC methods demonstrate promising clustering performance in various applications and enjoy considerable computational acceleration. However, we observe that the kernel partition learning and late fusion processes are separated from each other in the existing mechanism, which may lead to suboptimal solutions and adversely affect the clustering performance. In this article, we propose a novel late fusion multiple kernel clustering with proxy graph refinement (LFMKC-PGR) framework to address these issues. First, we theoretically revisit the connection between late fusion kernel base partition and traditional spectral embedding. Based on this observation, we construct a proxy self-expressive graph from kernel base partitions. The proxy graph in return refines the individual kernel partitions and also captures partition relations in graph structure rather than simple linear transformation. We also provide theoretical connections and considerations between the proposed framework and the multiple kernel subspace clustering. An alternate algorithm with proved convergence is then developed to solve the resultant optimization problem. After that, extensive experiments are conducted on 12 multi-kernel benchmark datasets, and the results demonstrate the effectiveness of our proposed algorithm. The code of the proposed algorithm is publicly available at https://github.com/wangsiwei2010/graphlatefusion_MKC.

Improving the prediction of mechanical properties of aluminium alloy using data-driven class-based regression

The widespread use of aluminium alloys in the aerospace, transport and marine industries is attributed to their desirable physical properties. The relationship between the alloy composition and microstructure and the resultant mechanical properties is complicated. Machine learning (ML) has become a valuable asset in designing new alloys. The accuracy of previously utilised ML models has been increased by partitioning the alloy data set and training regressors for individual partitions. This study uses a recently reported data-driven partitioning scheme that divides the data into classes based on feature similarity. Individual regressors were trained on each class and compared with the regressor trained on the entire data set. It was revealed that individual class-based regressors are more interpretable without loss in prediction accuracy. The results indicate that the data-driven partitioning scheme outperforms traditional domain knowledge based partitioning, providing both increased model accuracy and increased model interpretability.

HyWaves: Hybrid downscaling of multimodal wave spectra to nearshore areas

Long-term and accurate wave hindcast databases are often required in different coastal engineering projects. The assessment of the nearshore wave climate is often accomplished by using downscaling techniques to translate offshore waves to coastal areas. However, dynamical downscaling approaches may incur huge computational cost. Additionally, the common use of bulk parameterizations are often not accurate for multidimensional waves. To overcome these limitations, we present a hybrid downscaling approach that combines mathematical algorithms (statistical downscaling) and numerical modeling (dynamical downscaling) over the individual spectral partitions. Every wave partition is downscaled and aggregated afterward by using principles of wave linear theory. By assuming linearity in the propagation of the wave celerity, the application of the method is limited from offshore to intermediate water depths. In addition, the method proposed uses a technique to simplify the spectral boundary conditions in complex domains. The methodology has been applied and validated in the island states of Samoa, American Samoa, Majuro, and Kwajalein, showing good skill at reproducing the spectral hourly time series of significant wave height, peak period, and peak direction. Moreover, an accurate representation of the observed energy spectrum was achieved. This study provides insight into the numerical approximation of the combined sea-swell states while improving the quality of fast spectral forecasting and early warning systems.

Quantifying suite-level airtightness in newly constructed multi-unit residential buildings using guarded suite-level air leakage testing

Improving inter-zonal airtightness in multi-unit residential buildings (MURBs) has wide-ranging benefits including reduced odour/pollutant transfer, reduced sound transmission, and improved energy efficiency. The current metric used to assess inter-zonal airtightness in MURBs is the unguarded air leakage rate, which measures the air leakage through all interior and exterior suite boundaries. While this metric provides a general indication of overall suite airtightness, it provides no information on the location or distribution of leakage pathways across the individual suite partitions. Depending on the construction type(s) of suite partitions there may be variability in air leakage rates at the partition level, which is masked by the whole-suite metric. This makes it difficult to identify potential areas for improvement in design and construction practices.Guarded blower door testing was completed in 14 suites in six newly constructed/renovated MURBs, in Southern Ontario, Canada. Whole-suite air leakage rates for the sample were generally low, consistent with previous studies. Broken down by partition type, floor/ceiling and suite-to-suite walls exhibited similar levels of airtightness, with sample means of 0.36L/s/m2 and 0.32L/s/m2, respectively, at 50Pa (0.07cfm50/ft2 vs. 0.06cfm50/ft2). In contrast, the average suite-to-corridor wall air leakage rate was nearly eight times higher (2.46L/s/m2 (0.49cfm50/ft2)). The results highlight the need to develop targeted air sealing strategies to improve suite-to-corridor wall air leakage rates. Recommendations for improving inter-zonal air sealing practices in new construction are discussed. The measurements reported in this work will also help to improve building airflow simulations, which rely on partition-level air leakage metrics for model inputs.

Capillary electrophoresis: Recent advancements and applications of micellar electrokinetic capillary chromatography

The article discusses capillary electrophoresis (CE) as an advanced technique used for the separation and detection of various pharmaceutical drugs. CE involves the application of high voltages across buffer-filled capillaries to produce separation based on various separation theories, including capillary zone electrophoresis (CZE), micellar electrokinetic capillary chromatography (MEKC), capillary gel electrophoresis, and capillary isoelectric focusing. While traditional CZE is not suitable for the separation of neutral substances, MEKC was developed by Shigeru Terabe in the early 1990s to expand the use of CE to neutral analytes that cannot be separated using straightforward free solution CE. MEKC employs an ionic micellar solution that interacts with the analytes through partitioning processes like a chromatographic technique. To create a pseudostationary phase, a surfactant such as sodium dodecyl sulfate (SDS) is added to the buffer solution at a concentration higher than its critical micellar concentration. The anionic SDS micelles are electrostatically drawn towards the anode, while the electro-osmotic flow carries the bulk solution toward the negative electrode due to the negative charge on the inside surface of the silica capillaries. When a neutral analyte is introduced into the micellar solution, a portion is integrated into the micelle, while the remaining fraction of the analyte migrates with the electroosmotic velocity. Separation depends on the individual partitioning equilibrium of the various analytes between the micellar and the aqueous phase. The bigger percentage of analyte dispersed inside the micelle, the slower it will travel. This article provides an in-depth understanding of the separation principle and the mechanism involved in MEKC, highlighting its usefulness in separating neutral analytes that cannot be separated using traditional CZE.

Partitioning of a wide bubbling fluidized bed with vertical internals to improve local mixing and bed material circulation

Industrial scale fluidized bed reactors are characterized by limited mixing rates, either local or global, especially when using low-pressure drop gas distributors to reduce operational costs. In this work, partitioning of wide beds using vertical internals is proposed as an effective technique to improve local mixing in large reactors, i.e., mixing in specific zones of the bed. The effect of the vertical internals height on local solids mixing within partitions was experimentally evaluated in a pseudo-2D bed by analyzing the velocity and flow structure of the solids and the circulation time within individual partitions. In the presence of internals, global mixing, i.e., mixing between neighboring partitions and across the entire reactor, may be reduced as vertical internals compartmentalize the bed. Thus, the effect of the internals height on global mixing was also quantified while using bed materials with the same properties, but differing in color, in the different partitions, and analyzing the time evolution of the concentration of solids. Furthermore, the effect of internals on bubbles was also evaluated for different internal heights. It was found that internals with a height between the gulf-stream height and the fixed bed height promote the appearance of vortex pair structures in each partition of the wide bed. These structures substantially improve local mixing within each partition, while global mixing between partitions is practically unaffected by the presence of these short internals. • Pseudo-2D bed was used to characterize the effect of vertical partitions on mixing. • Solids with different colors were used to evaluate local and global mixing. • A model is developed to determine the exchange efficiency between partitions. • Vortex pair structures appear with internals above the gulf-stream height. • Vortex structures improve local mixing, global mixing remaining nearly unaffected.

Mapping Processing Elements of Custom Virtual CGRAs onto Reconfigurable Partitions

FPGAs can provide application-specific acceleration for computationally demanding tasks. However, they are rarely considered general-purpose platforms due to low productivity of software development and long reconfiguration time. These problems can be mitigated by implementing a coarser overlay atop the FPGA fabric. Combining this approach with partial reconfiguration allows for the modification of individual processing elements (PEs) of the virtual architecture without altering the rest of the system. Module relocation can be used to share implementation details between functionally equivalent PEs that use identical sets of resources, thus eliminating redundant placement and routing runs. Proper floorplanning is crucial for virtual Coarse-Grained Reconfigurable Architectures (CGRAs) with relocatable PEs considering their tendency to use nearest-neighbor connection patterns. It requires solving two problems—finding identical regions in the FPGA fabric and assigning individual partitions to certain locations. This article presents minor improvements of a state-of-the-art solution for the first and proposes a novel technique for solving the other. The proposed automated floorplanner uses modified breadth-first search with direction-based penalties to create initial floorplan consistent with geometry of logical array, then improves the result with 2-opt local optimization. Compared to simulated annealing solutions, the proposed approach allows for the reduction in the floorplanning time by two to three orders of magnitude without compromising the quality of the results.

Semi-closed artificial thermal maturation of type I source rock with the presence of natural formation water: hydrocarbon generation and individual n-alkane stable carbon isotope partitioning pattern

Hydrous pyrolysis is a significant laboratory method to investigate oil generation with the presence of water. Generally, distilled water is utilized in hydrous pyrolysis but not natural formation water, which is ubiquitous in oilfields and has elevated salinities. To understand the influence of formation water on hydrocarbon generation and stable carbon isotopic ratios of expelled oils, two series of semi-closed hydrous pyrolysis experiments were conducted in a wide temperature range (250–550 °C) for the type I Green River Shale source rocks using distilled water and formation water with a salinity of 76 g/L. Oil generation peak occurred at a lower temperature (325 °C) in experiments using formation water compared to experiments using distilled water (375 °C), suggesting that the presence of formation water has facilitated the oil generation. The presence of formation water also promoted the hydrocarbon expulsion at lower temperatures in hydrous pyrolysis (325–350 °C). Stable carbon isotopic fractionation between unpyrolyzed kerogen and n-alkanes (n-C17 to n-C28) generated during the primary stage of oil generation (325–375 °C) is minor (<2.6‰) in the presence of formation water, but smaller relative to those in experiments using distilled water at individual temperature points. Positive correlations between pyrolysis temperatures and δ13C ratios of n-C17, n-C18 and n-C19 during oil generation were observed in the experiments using formation water, which is consistent with the knowledge that 12C–12C bonds are more readily to be cleaved than 13C–12C bonds. Outcomes of this study not only support that stable carbon isotopic analysis of n-alkanes is a powerful tool for fingerprinting oil source in sedimentary basins, but also highlight the significance of using formation water as a medium in hydrous pyrolysis to improve the understanding of chemical/isotopic variations during hydrocarbon generation.

Drug tolerance facilitates the evolution of drug resistance in Candida albicans

Background For Candida albicans and Candidiasis, drug resistance is sometimes due to the pre-existence of genetic polymorphisms that bypass the mode of action of the drug, thus conferring a long-term survival benefit. In other cases, resistance is acquired via the evolution of de novo genetic polymorphisms. There is evidence that C. albicans possess a drug tolerance response which “buys time” for individuals to evolve beneficial mutations. Our goal here is to characterize this poorly understood epigenetic cytoprotective program at the single cell molecular level. Methods We developed a nano-litre droplet based Candida single cell sequencing platform capable of transcriptionally profiling several thousand individual cells in an efficient manner. We exploit this platform to profile both untreated and drug exposed (incl. fluconazole, caspofungin and nystatin) populations at early time points post-treatment (tolerance) and late time points (resistance) in order to understand survival trajectories. The profile are compared with the matched sequenced genomes. Results We show that untreated Candida populations exhibit “bet hedging”, stochastically expressing cytoprotective transcriptional programs, and drug tolerant individuals partition into distinct subpopulations, each with a unique survival strategy involving different transcriptional programs. We observe a burst of chromosomal aberrations at two days post-treatment that differ between survivor subpopulation. Discussion Our single cell approach highlights that survivor subpopulations pass through a tolerance phase that involves a multivariate transcriptional response including upregulation of efflux pumps, chaperones and transport mechanisms, and cell wall maintenance. Together this suggests that targeting the tolerance response concomitantly with standard therapies could represent an efficient approach to ablating clinical persistence.

Position statement on classification of basal cell carcinomas. Part 1: unsupervised clustering of experts as a way to build an operational classification of advanced basal cell carcinoma based on pattern recognition.

BackgroundNo simple classification system has emerged for ‘advanced basal cell carcinomas’, and more generally for all difficult‐to‐treat BCCs (DTT‐BCCs), due to the heterogeneity of situations, TNM inappropriateness to BCCs, and different approaches of different specialists.ObjectiveTo generate an operational classification, using the unconscious ability of experts to simplify the great heterogeneity of the clinical situations into a few relevant groups, which drive their treatment decisions.MethodNon‐supervised independent and blinded clustering of real clinical cases of DTT‐BCCs was used. Fourteen international experts from different specialties independently partitioned 199 patient cases considered ‘difficult to treat’ into as many clusters they want (≤10), choosing their own criteria for partitioning. Convergences and divergences between the individual partitions were analyzed using the similarity matrix, K‐mean approach, and average silhouette method.ResultsThere was a rather consensual clustering of cases, regardless of the specialty and nationality of the experts. Mathematical analysis showed that consensus between experts was best represented by a partition of DTT‐BCCs into five clusters, easily recognized a posteriori as five clear‐cut patterns of clinical situations. The concept of ‘locally advanced’ did not appear consistent between experts.ConclusionAlthough convergence between experts was not granted, this experiment shows that clinicians dealing with BCCs all tend to work by a similar pattern recognition based on the overall analysis of the situation. This study thus provides the first consensual classification of DTT‐BCCs. This experimental approach using mathematical analysis of independent and blinded clustering of cases by experts can probably be applied to many other situations in dermatology and oncology.

Swell and sea characteristics along the south-west coast of India during the monsoon

Swell and wind–seas generally co-exist in the open ocean, and are often difficult to segregate. Swell and wind–sea characteristics of observed wave spectra at off-Kochi, located along India’s south-west coast in the Arabian Sea during the south-west monsoon are presented. This paper attempts to split the observed wave spectra into individual wave partitions, thereby enabling the computation of integral wave parameters of each partition. The spectra with five partitions is found occur more frequently in the considered season. To extract wind–sea and swell information from the observed directional spectrum, a consistent overshooting phenomenon (OP), Modified Overshooting phenomenon (MOP) and Wave age (WA) method are employed in each partition. The results show a prevalence of mixed sea states. An analysis from WA method shows the absence of young wind seas. The derived wind–wave parameters of the spectral partitioning algorithm agree well with Toba’s 3/2 law with a good correlation. The effectiveness of interaction between the derived swell and sea components is discussed through nonlinear interactions that are occurring between the set of four waves.

Correction to: 'Dietary plasticity of North American herbivores: a synthesis of stable isotope data over the past 7 million years'.

You have accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Pardi M. I. and DeSantis L. R. G. 2021Correction to: ‘Dietary plasticity of North American herbivores: a synthesis of stable isotope data over the past 7 million years’Proc. R. Soc. B.2882021141620211416http://doi.org/10.1098/rspb.2021.1416SectionYou have accessCorrectionsCorrection to: ‘Dietary plasticity of North American herbivores: a synthesis of stable isotope data over the past 7 million years’ M. I. Pardi M. I. Pardi http://orcid.org/0000-0001-9766-7511 Google Scholar Find this author on PubMed Search for more papers by this author and L. R. G. DeSantis L. R. G. DeSantis http://orcid.org/0000-0003-1159-9154 Google Scholar Find this author on PubMed Search for more papers by this author M. I. Pardi M. I. Pardi http://orcid.org/0000-0001-9766-7511 Google Scholar Find this author on PubMed Search for more papers by this author and L. R. G. DeSantis L. R. G. DeSantis http://orcid.org/0000-0003-1159-9154 Google Scholar Find this author on PubMed Search for more papers by this author Published:14 July 2021https://doi.org/10.1098/rspb.2021.1416Proc. R. Soc. B288, 20210121. (Published online 14 April 2021) (doi:10.1098/rspb.2021.0121)Our correction is for figure 3 of the manuscript, which was missing elements that should have been included in the final version of the file. The former image also plotted data for an incorrect animal from our study. Changes to this figure do not impact any of the analyses, statistical calculations or conclusions of the paper.The correct figure is below and this has been updated on the publisher's website. Figure 3. Localized breadth at localities with at least five individuals present. (a) The local breadth of a taxon site (the mean indicated by a grey circle) is typically a small fraction (less than 0.5) of its overall breadth. The insert (adapted from Bolnick et al. 2003 [34]) shows a conceptual depiction of how individual populations partition the overall niche breadth of a taxon. Most taxa in this study have ratios between 0.32 and 0.60, corresponding to conceptual depictions 2 or 3, where populations are different, but can overlap somewhat in their breadth. (b) Site specific values presented as boxplots for taxa illustrate the relatively narrower breadth at the local level and the distinctions between ‘populations’. Site names are indicated by marker shapes. The NALMA of a site is indicated by the shading of the bar. In this example, the average fraction of the total dietary breadth across sites for Equus (a highy hypsodont grazer; n = 138 across 13 localities) is less than Mylohyus (a brachydont browsing mixed-feeder; n = 33 across three localities), Platygonus (n = 42 across four localities) and Odocoileus (a brachydont browser; n = 43 across six localities). (Online version in colour.)Download figureOpen in new tabDownload PowerPoint Previous Article VIEW FULL TEXT DOWNLOAD PDF FiguresRelatedReferencesDetails This Issue14 July 2021Volume 288Issue 1954 Article InformationDOI:https://doi.org/10.1098/rspb.2021.1416PubMed:34256000Published by:Royal SocietyOnline ISSN:1471-2954History: Published online14/07/2021Published in print14/07/2021 License:© 2021 The Author(s)Published by the Royal Society. All rights reserved. Citations and impact Subjectsecologypalaeontology Large datasets are available through Proceedings B's partnership with Dryad