Academic literature on the topic 'Mass-Richness Relation'

ABSTRACT Unbiased and precise mass calibration of galaxy clusters is crucial to fully exploit galaxy clusters as cosmological probes. Stacking of weak lensing (WL) signal allows us to measure observable–mass relations down to less massive haloes without extrapolation. We propose a Bayesian inference method to constrain the intrinsic scatter of the mass proxy in stacked analyses. The scatter of the stacked data is rescaled with respect to the individual scatter based on the number of binned clusters. We apply this method to the galaxy clusters detected with the AMICO (Adaptive Matched Identifier of Clustered Objects) algorithm in the third data release of the Kilo-Degree Survey. The results confirm the optical richness as a low-scatter mass proxy. Based on the optical richness and the calibrated WL mass–richness relation, mass of individual objects down to $\sim\! 10^{13}\, \mathrm{M}_\odot$ can be estimated with a precision of ∼20 per cent.

ABSTRACT We perform a cross validation of the cluster catalogue selected by the red-sequence Matched-filter Probabilistic Percolation algorithm (redMaPPer) in Dark Energy Survey year 1 (DES-Y1) data by matching it with the Sunyaev–Zel’dovich effect (SZE) selected cluster catalogue from the South Pole Telescope SPT-SZ survey. Of the 1005 redMaPPer selected clusters with measured richness $\hat{\lambda }\gt 40$ in the joint footprint, 207 are confirmed by SPT-SZ. Using the mass information from the SZE signal, we calibrate the richness–mass relation using a Bayesian cluster population model. We find a mass trend λ ∝ MB consistent with a linear relation (B ∼ 1), no significant redshift evolution and an intrinsic scatter in richness of σλ = 0.22 ± 0.06. By considering two error models, we explore the impact of projection effects on the richness–mass modelling, confirming that such effects are not detectable at the current level of systematic uncertainties. At low richness SPT-SZ confirms fewer redMaPPer clusters than expected. We interpret this richness dependent deficit in confirmed systems as due to the increased presence at low richness of low-mass objects not correctly accounted for by our richness-mass scatter model, which we call contaminants. At a richness $\hat{\lambda }=40$, this population makes up ${\gt}12{{\ \rm per\ cent}}$ (97.5 percentile) of the total population. Extrapolating this to a measured richness $\hat{\lambda }=20$ yields ${\gt}22{{\ \rm per\ cent}}$ (97.5 percentile). With these contamination fractions, the predicted redMaPPer number counts in different plausible cosmologies are compatible with the measured abundance. The presence of such a population is also a plausible explanation for the different mass trends (B ∼ 0.75) obtained from mass calibration using purely optically selected clusters. The mean mass from stacked weak lensing (WL) measurements suggests that these low-mass contaminants are galaxy groups with masses ∼3–5 × 1013 M⊙ which are beyond the sensitivity of current SZE and X-ray surveys but a natural target for SPT-3G and eROSITA.

Abstract We use galaxy dynamical information to calibrate the richness–mass scaling relation of a sample of 428 galaxy clusters that are members of the CODEX sample with redshifts up to z ∼ 0.7. These clusters were X-ray selected using the ROSAT All-Sky Survey (RASS) and then cross-matched to associated systems in the redMaPPer (the red sequence Matched-filter Probabilistic Percolation) catalogue from the Sloan Digital Sky Survey. The spectroscopic sample we analyse was obtained in the SPIDERS program and contains ∼7800 red member galaxies. Adopting NFW mass and galaxy density profiles and a broad range of orbital anisotropy profiles, we use the Jeans equation to calculate halo masses. Modelling the scaling relation as $\lambda \propto \text{A}_{\lambda } {M_{\text{200c}}}^{\text{B}_{\lambda }} ({1+z})^{\gamma _{\lambda }}$, we find the parameter constraints $\text{A}_{\lambda }=38.6^{+3.1}_{-4.1}\pm 3.9$, $\text{B}_{\lambda }=0.99^{+0.06}_{-0.07}\pm 0.04$, and $\gamma _{\lambda }=-1.13^{+0.32}_{-0.34}\pm 0.49$, where we present systematic uncertainties as a second component. We find good agreement with previously published mass trends with the exception of those from stacked weak lensing analyses. We note that although the lensing analyses failed to account for the Eddington bias, this is not enough to explain the differences. We suggest that differences in the levels of contamination between pure redMaPPer and RASS + redMaPPer samples could well contribute to these differences. The redshift trend we measure is more negative than but statistically consistent with previous results. We suggest that our measured redshift trend reflects a change in the cluster galaxy red sequence (RS) fraction with redshift, noting that the trend we measure is consistent with but somewhat stronger than an independently measured redshift trend in the RS fraction. We also examine the impact of a plausible model of correlated scatter in X-ray luminosity and optical richness, showing it has negligible impact on our results.

ABSTRACT We present the weak-lensing analysis of 279 CODEX clusters using imaging data from 4200 deg2 of the DECam Legacy Survey (DECaLS) Data Release 3. The cluster sample results from a joint selection in X-ray, optical richness in the range 20 ≤ λ < 110, and redshift in the range 0.1 ≤ z ≤ 0.2. We model the cluster mass (M200c) and the richness relation with the expression $\left\langle M_{\rm 200c} | \lambda \right\rangle \propto M_{0} \, (\lambda / 40)^{F_{\lambda }}$. By measuring the CODEX cluster sample as an individual cluster, we obtain the best-fitting values, $M_{0} = 3.24^{+0.29}_{-0.27} \times 10^{14} \text{M}_{\odot }$, and $F_{\lambda } = 1.00 ^{+0.22}_{-0.22}$ for the richness scaling index, consistent with a power-law relation. Moreover, we separate the cluster sample into three richness groups; λ = 20–30, 30–50, and 50–110, and measure the stacked excess surface mass density profile in each group. The results show that both methods are consistent. In addition, we find an excellent agreement between our weak lensing based scaling relation and the relation obtained with dynamical masses estimated from cluster member velocity dispersions measured by the SDSS-IV/SPIDERS team. This suggests that the cluster dynamical equilibrium assumption involved in the dynamical mass estimates is statistically robust for a large sample of clusters.

We perform a measurement of the mass-richness relation of the redMaPPer galaxy cluster catalogue using weak lensing data from the Sloan Digital Sky Survey (SDSS). We have carefully characterized a broad range of systematic uncertainties, including shear calibration errors, photo-z biases, dilution by member galaxies, source obscuration, magnification bias, incorrect assumptions about cluster mass profiles, cluster centring, halo triaxiality and projection effects. We also compare measurements of the lensing signal from two independently produced shear and photometric redshift catalogues to characterize systematic errors in the lensing signal itself. Using a sample of 5570 clusters from 0.1 <= z <= 0.33, the normalization of our power-law mass versus. relation is log(10)[M-200m/ h-M-1(circle dot)] = 14.344 +/- 0.021 (statistical) +/- 0.023 (systematic) at a richness lambda= 40, a 7 per cent calibration uncertainty, with a power-law index of 1.33(- 0.10)(+0.09) (1 sigma). The detailed systematics characterization in this work renders it the definitive weak lensing mass calibration for SDSS redMaPPer clusters at this time.

La evolución de la abundancia de cúmulos de galaxias se está conviertiendo en una herramienta muy potente para medir parámetros cosmológicos. Esto ha motivado el diseño de un nuevo conjunto de cartografiados de gran área como el ‘Dark Energy Survey” (DES). El reto principal para medir con precisión parámetros cosmol´gicos con esta técnica es la calibración precisa de la relación entre la masa de los halos y el observable. En este trabajo presentamos un nuevo método para medir la dispersión de esta relación para el futuro catálogo de cúmulos de DES utilizando el sesgo o bias de la función de correlación de estos cúmulos respecto a la materia. Nuestro análisis se ha desarrollado en simulaciones de N-cuerpos. En particular, en el cono de luz ‘Hubble Volume Simulations SO light cone” que tiene 5000 grados cuadrados (volumen de DES). Para medir correctamente el bias de cúmulos a grandes escalas, primero necesitamos entender las propiedades de los halos de materia oscura. Así estudiamos el sesgo de la función de correlacion de halos respecto a la distribución de materia utilizando el modelo de halo. Este modelo describe el “clustering” de los halos de materia oscura y proporciona una expresión analítica para el bias de los halos en función de la masa. Como el elemento principal del modelo de halo es la función de masa también estudiaremos la precisión de los modelos de abundancia de cúmulos. En nuestro análisis comparamos las medidas en simulaciones con las predicciones de los modelos. Para calcular el bias en simulaciones medimos la función de correlación con el estimador Landy & Szalay y estudiamos los errores estadísticos. Los resultados demuestran que la incertidumbre en la función de masa produce un error sistemático en nuestro método porque el bias depende de esta función. Después de estudiar el bias en halos desarrollamos un modelo de bias para una muestra de cúmulos que compararemos con el bias medido en observaciones. Para este modelo necesitamos relacionar la masa con una parámetro fácilmente observable, en nuestro caso la riqueza. Para esto se requiere una distribución de ocupación de halo (DOH), donde el número de galaxias viene dado por la distribución de probabilidad. En particular, utilizaremos un distribución log-normal cuya media viene dada por la relación masa riqueza medida experimentalmente y la desviación estándard o dispersión, lnM. Asignamos riqueza a los halos de materia oscura del cono de luz a través de esta distribución DOH y estudiamos la precisión con la que se mide la dispersión. El pronóstico de esta nueva técnica muestra cómo obtenemos mejor precisión para los valores más altos de dispersión. Además, esperamos resultados muy competitivos para medir la dispersión esperada en la relación masa riqueza del catálogo de cúmulos de DES. La medida será lo suficientemente precisa para que los parámetros de energía oscura no estén sesgados significativamente. En resumen, nuestra nueva técnica podrá ser utilizada en el futuro catálogo de cúmulos de DES como un método para verificar y contrastar el resultado de la dispersion con otros métodos como la autocalibración.
The evolution of the abundance of cluster of galaxies is becoming a powerful tool to constrain cosmological parameters. This has motivated the design of a new wide-area cluster surveys such as Dark Energy Survey. This survey will have the potential to find hundred of thousands of clusters. The principal challenge to precision cosmology with this technique is the accurate calibration of the relation between the observables and halo masses. In this work we present a new method to measure the scatter in the mass observable relation of galaxy clusters for the future DES cluster catalog, based on the measurements of the bias of the correlation function. Our analysis is developed on N-body simulations. In particular, we use a light cone based on the Hubble Volume Simulations SO light cone that has 5000 deg2 (DES volume). In order to properly measure the large scale bias for clusters, first we need to understand the large scale properties of the dark matter halos. We study how the halos are biased respect to the underlying matter distribution using the halo model. It describes the clustering of dark matter halos and provides an analytical expression for the bias of halos as a function of halo mass. Since the basic element of the halo model is the mass function we also study the accuracy of the halo abundance models. We compare the measurements in simulations with the model predictions. To calculate the bias in simulations we measured the two point correlation function with Landy & Szalay estimator and study the statistical errors. Our results demonstrate that the uncertainty in the mass function produces a systematic error in our method because the halo bias depends on it. After we studied the bias in halos, we develop a bias model for a sample of clusters to compare with observations. We need to relate the mass to a easily observable quantity. In our case we model the bias for a richness threshold. Doing this requires a halo occupation distribution (HOD), where the number of galaxies is specified by the probability distribution. In particular we use a lognormal distribution with a mean given by an empirical mass richness relation and the standard deviation or scatter, lnM. We assign richness to the dark matter halos of the light cone by means of this distribution and study the precision to constrain the scatter. Our forecast of the new analysis technique shows how at the highest values of scatter we obtain the highest precision. We have a very competitive result to measure the expected scatter in the DES mass richness relation and it will be precise enough for the dark energy parameters won’t be significantly biased. In summary, the new method proposed could be used in the DES cluster catalog as a cross check method complementary to other such as self-calibration.

In this Thesis work, we present new measurements of the clustering of a photometric sample of galaxy clusters, focusing on the redshift-space 2PCF. The analysed galaxy cluster sample has been built using the Adaptive Matched Identifier of Clustered Objects (AMICO) algorithm (on the Kilo-Degree Survey. We analyse the full catalogue, as well as sub-catalogues selected in mass and redshifts. All these new measurements are compared to theoretical predictions of the standard cosmological framework, finding consistent results. Then, we perform a statistical analysis to extract constraints on the matter density contrast, the amplitude of the density fluctuations, the dark energy equation of state parameter, and the effective bias of the sample. Finally, we present a new method to infer the cluster mass scaling relation from cluster clustering measurements, and provide constraints on the scaling relation normalisation, slope and scatter.

Aglomerados de galáxias são as maiores estruturas no Universo. Sua distribuição mapeia os halos de matéria escura formados nos potenciais profundos do campo de matéria escura. Consequentemente, a abundância de aglomerados é altamente sensível a expansão do Universo, assim como ao crescimento das perturbações de matéria escura, constituindo uma poderosa ferramenta para fins cosmológicos. Na era atual de grandes levantamentos observacionais que produzem uma quantidade gigantesca de dados, as propriedades estatísticas dos objetos observados (galáxias, aglomerados, supernovas, quasares, etc) podem ser usadas para extrair informações cosmológicas. Para isso, é necessária o estudo da formação de halos de matéria escura, da detecção dos halos e aglomerados, das ferramentas estatísticas usadas para o vínculos de parâmetros, e finalmente, dos efeitos da detecções ópticas. No contexto da formulação da predição teórica da contagem de halos, foi analisada a influência de cada parâmetro cosmológico na abundância dos halos, a importância do uso da covariância dos halos, e a eficácia da utilização dos halos para vincular cosmologia. Também foi analisado em detalhes os intervalos de redshift e o uso de conhecimento prévio dos parâmetros ({\\it priors}). A predição teórica foi testada um uma simulação de matéria escura, onde a cosmologia era conhecida e os halos de matéria escura já haviam sido detectados. Nessa análise, foi atestado que é possível obter bons vínculos cosmológicos para alguns parâmetros (Omega_m,w,sigma_8,n_s), enquanto outros parâmetros (h,Omega_b) necessitavam de conhecimento prévio de outros testes cosmológicos. Na seção dos métodos estatísticos, foram discutidos os conceitos de {\\it likelihood}, {\\it priors} e {\\it posterior distribution}. O formalismo da Matriz de Fisher, bem como sua aplicação em aglomerados de galáxias, foi apresentado e usado para a realização de predições dos vínculos em levantamentos atuais e futuros. Para a análise de dados, foram apresentados métodos de Cadeias de Markov de Monte Carlo (MCMC), que diferentemente da Matriz de Fisher não assumem Gaussianidade entre os parâmetros vinculados, porém possuem um custo computacional muito mais alto. Os efeitos observacionais também foram estudados em detalhes. Usando uma abordagem com a Matriz de Fisher, os efeitos de completeza e pureza foram extensivamente explorados. Como resultado, foi determinado em quais casos é vantajoso incluir uma modelagem adicional para que o limite mínimo de massa possa ser diminuído. Um dos principais resultados foi o fato que a inclusão dos efeitos de completeza e pureza na modelagem não degradam os vínculos de energia escura, se alguns outros efeitos já estão sendo incluídos. Também foi verificados que o uso de priors nos parâmetros não cosmológicos só afetam os vínculos de energia escura se forem melhores que 1\\%. O cluster finder(código para detecção de aglomerados) WaZp foi usado na simulação, produzindo um catálogo de aglomerados. Comparando-se esse catálogo com os halos de matéria escura da simulação, foi possível investigar e medir os efeitos observacionais. A partir dessas medidas, pôde-se incluir correções para a predição da abundância de aglomerados, que resultou em boa concordância com os aglomerados detectados. Os resultados a as ferramentas desenvolvidos ao longo desta tese podem fornecer um a estrutura para a análise de aglomerados com fins cosmológicos. Durante esse trabalho, diversos códigos foram desenvolvidos, dentre eles, estão um código eficiente para computar a predição teórica da abundância e covariância de halos de matéria escura, um código para estimar a abundância e covariância dos aglomerados de galáxias incluindo os efeitos observacionais, e um código para comparar diferentes catálogos de halos e aglomerados. Esse último foi integrado ao portal científico do Laboratório Interinstitucional de e-Astronomia (LIneA) e está sendo usado para avaliar a qualidade de catálogos de aglomerados produzidos pela colaboração do Dark Energy Survey (DES), assim como também será usado em levantamentos futuros.
Abstract Galaxy clusters are the largest bound structures of the Universe. Their distribution maps the dark matter halos formed in the deep potential wells of the dark matter field. As a result, the abundance of galaxy clusters is highly sensitive to the expansion of the universe as well as the growth of dark matter perturbations, representing a powerful tool for cosmological purposes. In the current era of large scale surveys with enormous volumes of data, the statistical quantities from the objects surveyed (galaxies, clusters, supernovae, quasars, etc) can be used to extract cosmological information. The main goal of this thesis is to explore the potential use of galaxy clusters for constraining cosmology. To that end, we study the halo formation theory, the detection of halos and clusters, the statistical tools required to quarry cosmological information from detected clusters and finally the effects of optical detection. In the composition of the theoretical prediction for the halo number counts, we analyze how each cosmological parameter of interest affects the halo abundance, the importance of the use of the halo covariance, and the effectiveness of halos on cosmological constraints. The redshift range and the use of prior knowledge of parameters are also investigated in detail. The theoretical prediction is tested on a dark matter simulation, where the cosmology is known and a dark matter halo catalog is available. In the analysis of the simulation we find that it is possible to obtain good constraints for some parameters such as (Omega_m,w,sigma_8,n_s) while other parameters (h,Omega_b) require external priors from different cosmological probes. In the statistical methods, we discuss the concept of likelihood, priors and the posterior distribution. The Fisher Matrix formalism and its application on galaxy clusters is presented, and used for making forecasts of ongoing and future surveys. For the real analysis of data we introduce Monte Carlo Markov Chain (MCMC) methods, which do not assume Gaussianity of the parameters distribution, but have a much higher computational cost relative to the Fisher Matrix. The observational effects are studied in detail. Using the Fisher Matrix approach, we carefully explore the effects of completeness and purity. We find in which cases it is worth to include extra parameters in order to lower the mass threshold. An interesting finding is the fact that including completeness and purity parameters along with cosmological parameters does not degrade dark energy constraints if other observational effects are already being considered. The use of priors on nuisance parameters does not seem to affect the dark energy constraints, unless these priors are better than 1\\%.The WaZp cluster finder was run on a cosmological simulation, producing a cluster catalog. Comparing the detected galaxy clusters to the dark matter halos, the observational effects were investigated and measured. Using these measurements, we were able to include corrections for the prediction of cluster counts, resulting in a good agreement with the detected cluster abundance. The results and tools developed in this thesis can provide a framework for the analysis of galaxy clusters for cosmological purposes. Several codes were created and tested along this work, among them are an efficient code to compute theoretical predictions of halo abundance and covariance, a code to estimate the abundance and covariance of galaxy clusters including multiple observational effects and a pipeline to match and compare halo/cluster catalogs. This pipeline has been integrated to the Science Portal of the Laboratório Interinstitucional de e-Astronomia (LIneA) and is being used to automatically assess the quality of cluster catalogs produced by the Dark Energy Survey (DES) collaboration and will be used in other future surveys.

Les abeilles sont des pollinisateurs essentiels pour les cultures et les plantes sauvages, mais l'intensification des pratiques agricoles a engendré une baisse importante de leur abondance et diversité. Afin de protéger efficacement les abeilles dans les paysages agricoles, il est nécessaire d'avoir une meilleure connaissance de leurs patrons de diversité. L'objectif général de cette thèse était de déterminer les patrons spatio-temporels de la diversité des abeilles et l'utilisation des ressource fleuries dans un système agricole intensif. L'échantillonnage spatialement extensif de l'activité de butinage des abeilles sauvages et domestiques nous a permis de recenser 45040 individus (29314 abeilles domestiques et 15726 sauvages), appartenant à 192 espèces recensées à l'échelle territoriale. Cette diversité représente près de 20% de la richesse des espèces apiformes connues à l'échelle nationale. Cette communauté est caractérisée par une forte proportion d'espèces rares (28,8%) et de fortes variations temporelles et spatiales, en particulier de l'échelle locale jusqu'à 10-20 km2. L'importance des habitats semi-naturels pour soutenir les populations d'abeilles sauvages a été confirmée dans cette étude. Durant les périodes de floraison des cultures oléagineuses, les abeilles sauvages étaient étroitement associées aux habitats semi-naturels alors que les abeilles domestiques ont montré une nette préférence pour les cultures à floraison massive. La diversité des abeilles sauvages dans les habitats semi- naturels était 3-4 fois supérieure à celle observée dans le colza ou le tournesol. L'importance de certains facteurs écologiques clefs pour la diversité des abeilles, comme la richesse floristique locale et la quantité d'habitats semi-naturels dans le paysage, a été confirmée et quantifiée. Il a également été démontré que ces effets varient en fonction de la saison et de l'échelle spatiale. Ces résultats mettent en évidence les processus écologiques responsables des partons de diversité des abeilles à différentes échelles spatiales, et peuvent contribuer à optimiser la conception des mesures de conservation visant à promouvoir la diversité des abeilles dans les agrosystèmes intensifs.

The concept of SIC in the banking circle specifically in Ghana and generally in Africa has raised concerns for research because it concerns the management of the processes of communication strategies to achieve communication goals. Previously, the banking reports of Ghana required that the stakeholders of industries be well-informed using the comprehensive communication plan; however, it appears that different trends of communication strategies have been adopted recently. To this end, this study explored 3 banks operating in Accra to determine their strategic integrated communication practices with stakeholders. Using the Media Richness Theory and the Two-Way Symmetrical Model of Communication, the study analysed data obtained through in-depth interviews from staff of the banks and some documents accessed from the banks. The findings indicated that the banks need to review strategies for client satisfaction and loyalty as an output of strategically integrating communication efforts. The study concludes that bank interactivity must be conducted strategically and efficiently to achieve the best communication results.
Communication Science
Ph. D.

Prior studies on the use of social media by public relations professionals are often descriptive and did not apply communication theories to fully evaluate the richness of this emerging communication platform. These studies did not explain the technology adoption process of public relations professionals. On the basis of Media Richness Theory, the authors assessed the perceptions of 162 public relations professionals from a national sample in the United States to identify emerging media richness dimensions of social media. This study found that these dimensions are not the same as those in other mass and traditional media platforms. This chapter suggests that social media should not simply be compared to traditional media, because they have demonstrated unique medium characteristics. Both theoretical and managerial implications are discussed.