S-system theory applied to array-based GNSS ionospheric sensing

The GPS carrier-phase and code data have proven to be valuable sources of measuring the Earth’s ionospheric total electron content (TEC). With the development of new GNSSs with multi frequency data, many more ionosphere-sensing combinations of different precision can be formed as input of ionospheric modelling. We present the general way of interpreting such combinations through an application of S-system theory and address how their precision propagates into that of the unbiased TEC solution. Presenting the data relevant to TEC determination, we propose the usage of an array of GNSS antennas to improve the TEC precision and to expedite the rather long observational time-span required for high-precision TEC determination

ANALYTICAL QUALITY ASSESSMENT OF ITERATIVELY REWEIGHTED LEAST-SQUARES (IRLS) METHOD

The iteratively reweighted least-squares (IRLS) technique has been widelyemployed in geodetic and geophysical literature. The reliability measures areimportant diagnostic tools for inferring the strength of the model validation. Anexact analytical method is adopted to obtain insights on how much iterativereweighting can affect the quality indicators. Theoretical analyses and numericalresults show that, when the downweighting procedure is performed, (1) theprecision, all kinds of dilution of precision (DOP) metrics and the minimaldetectable bias (MDB) will become larger; (2) the variations of the bias-to-noiseratio (BNR) are involved, and (3) all these results coincide with those obtained bythe first-order approximation method

DESIGN OF GEODETIC NETWORKS BASED ON OUTLIER IDENTIFICATION CRITERIA: AN EXAMPLE APPLIED TO THE LEVELING NETWORK

We present a numerical simulation method for designing geodetic networks. The quality criterion considered is based on the power of the test of data snooping testing procedure. This criterion expresses the probability of the data snooping to identify correctly an outlier. In general, the power of the test is defined theoretically. However, with the advent of the fast computers and large data storage systems, it can be estimated using numerical simulation. Here, the number of experiments in which the data snooping procedure identifies the outlier correctly is counted using Monte Carlos simulations. If the network configuration does not meet the reliability criterion at some part, then it can be improved by adding required observation to the surveying plan. The method does not use real observations. Thus, it depends on the geometrical configuration of the network; the uncertainty of the observations; and the size of outlier. The proposed method is demonstrated by practical application of one simulated leveling network. Results showed the needs of five additional observations between adjacent stations. The addition of these new observations improved the internal reliability of approximately 18%. Therefore, the final designed network must be able to identify and resist against the undetectable outliers – according to the probability levels

Robustness analysis of geodetic networks in the case of correlated observations

GPS (or GNSS) networks are invaluable tools for monitoring natural hazards such as earthquakes. However, blunders in GPS observations may be mistakenly interpreted as deformation. Therefore, robust networks are needed in deformation monitoring using GPS networks. Robustness analysis is a natural merger of reliability and strain and defined as the ability to resist deformations caused by the maximum undetecle errors as determined from internal reliability analysis. However, to obtain rigorously correct results; the correlations among the observations must be considered while computing maximum undetectable errors. Therefore, we propose to use the normalized reliability numbers instead of redundancy numbers (Baarda's approach) in robustness analysis of a GPS network. A simple mathematical relation showing the ratio between uncorrelated and correlated cases for maximum undetectable error is derived. The same ratio is also valid for the displacements. Numerical results show that if correlations among observations are ignored, dramatically different displacements can be obtained depending on the size of multiple correlation coefficients. Furthermore, when normalized reliability numbers are small, displacements get large, i.e., observations with low reliability numbers cause bigger displacements compared to observations with high reliability numbers

Distributional theory for the DIA method

The DIA method for the detection, identification and adaptation of model misspecifications combines estimation with testing. The aim of the present contribution is to introduce a unifying framework for the rigorous capture of this combination. By using a canonical model formulation and a partitioning of misclosure space, we show that the whole estimation–testing scheme can be captured in one single DIA estimator. We study the characteristics of this estimator and discuss some of its distributional properties. With the distribution of the DIA estimator provided, one can then study all the characteristics of the combined estimation and testing scheme, as well as analyse how they propagate into final outcomes. Examples are given, as well as a discussion on how the distributional properties compare with their usage in practice

Teoria de confiabilidade generalizada para múltiplos outliers: apresentação, discussão e comparação com a teoria convencional

Após o ajustamento de observações pelo método dos mínimos quadrados (MMQ) ter sido realizado, é possível a detecção e a identificação de erros não aleatórios nas observações, por meio de testes estatísticos. A teoria da confiabilidade faz uso de medidas adequadas para quantificar o menor erro detectável em uma observação, e a sua influência sobre os parâmetros ajustados, quando não detectado. A teoria de confiabilidade convencional foi desenvolvida para os procedimentos de teste convencionais, como o data snooping, que pressupõem que apenas uma observação está contaminada por erros grosseiros por vez. Recentemente foram desenvolvidas medidas de confiabilidade generalizadas, relativas a testes estatísticos que pressupõem a existência, simultânea, de múltiplas observações com erros (outliers). O objetivo deste trabalho é apresentar, aplicar e discutir a teoria de confiabilidade generalizada para múltiplos outliers. Além da formulação teórica, este artigo também apresenta experimentos realizados em uma rede GPS (Global Positioning System), onde erros propositais foram inseridos em algumas observações e medidas de confiabilidade e testes estatísticos foram calculados utilizando a abordagem para múltiplos outliers. Comparações com a teoria de confiabilidade convencional também são realizadas. Por fim, apresentam-se as discussões e conclusões obtidas com estes experimentos

Student midwives' perceptions on the organisation of maternity care and alternative maternity care models in the Netherlands - a qualitative study

BACKGROUND: A major change in the organisation of maternity care in the Netherlands is under consideration, going from an echelon system where midwives provide primary care in the community and refer to obstetricians for secondary and tertiary care, to a more integrated maternity care system involving midwives and obstetricians at all care levels. Student midwives are the future maternity care providers and they may be entering into a changing maternity care system, so inclusion of their views in the discussion is relevant. This study aimed to explore student midwives' perceptions on the current organisation of maternity care and alternative maternity care models, including integrated care. METHODS: This qualitative study was based on the interpretivist/constructivist paradigm, using a grounded theory design. Interviews and focus groups with 18 female final year student midwives of the Midwifery Academy Amsterdam Groningen (AVAG) were held on the basis of a topic list, then later transcribed, coded and analysed. RESULTS: Students felt that inevitably there will be a change in the organisation of maternity care, and they were open to change. Participants indicated that good collaboration between professions, including a shared system of maternity notes and guidelines, and mutual trust and respect were important aspects of any alternative model. The students indicated that client-centered care and the safeguarding of the physiological, normalcy approach to pregnancy and birth should be maintained in any alternative model. Students expressed worries that the role of midwives in intrapartum care could become redundant, and thus they are motivated to take on new roles and competencies, so they can ensure their own role in intrapartum care. CONCLUSIONS: Final year student midwives recognise that change in the organisation of maternity care is inevitable and have an open attitude towards changes if they include good collaboration, client-centred care and safeguards for normal physiological birth. The graduating midwives are motivated to undertake an expanded intrapartum skill set. It can be important to involve students' views in the discussion, because they are the future maternity care providers. (aut. ref.

Elimination of some unknown parameters and its effect on outlier detection

Outliers in observation set badly affect all the estimated unknown parameters and residuals, that is because outlier detection has a great importance for reliable estimation results. Tests for outliers (e.g. Baarda's and Pope's tests) are frequently used to detect outliers in geodetic applications. In order to reduce the computational time, sometimes elimination of some unknown parameters, which are not of interest, is performed. In this case, although the estimated unknown parameters and residuals do not change, the cofactor matrix of the residuals and the redundancies of the observations change. In this study, the effects of the elimination of the unknown parameters on tests for outliers have been investigated. We have proved that the redundancies in initial functional model (IFM) are smaller than the ones in reduced functional model (RFM) where elimination is performed. To show this situation, a horizontal control network was simulated and then many experiences were performed. According to simulation results, tests for outlier in IFM are more reliable than the ones in RFM

O estabelecimento de padrões de referência altimétrica utilizando o nivelamento geométrico para a definição de alvos altos e inacessíveis

As estruturas geodésicas altimétricas são fundamentais para os projetos de Engenharia. Neste contexto, pode-se utilizar a tecnologia do nível digital para a determinação de pontos de referência altimétrica através do método do nivelamento geométrico. Outra solução é a utilização da tecnologia da estação total para a determinação de altitudes em pontos situados em locais altos e inacessíveis nas estruturas arquitetônicas, como por exemplo, alvos em estrutura de edificação situados em torres de igrejas e para a realização de uma estrutura geodésica através do método de nivelamento trigonométrico. As estruturas geodésicas altimétricas, implantadas e determinadas pelo método do nivelamento geométrico, materializam, neste trabalho, pontos para o estabelecimento de padrões de referência altimétrica e para a determinação altimétrica de alvos altos e inacessíveis. As estruturas geodésicas foram implantadas e determinadas, no Sítio Histórico de Olinda, empregando-se nível digital de alta precisão e mira de ínvar com código de barras. Este trabalho tem como objetivo definir padrões de referência altimétrica utilizando o método de nivelamento geométrico, resultando na implantação e análise da qualidade de estruturas geodésicas altimétricas