An introduction to semiparametric function-on-scalar                     regression

Bauer, Alexander; Scheipl, Fabian; Küchenhoff, Helmut; Gabriel, Alice‐Agnes

doi:10.1177/1471082x17748034

Cited by 17 publications

(11 citation statements)

References 41 publications

(82 reference statements)

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“…To this end, dynamic rupture simulations can reach high spatial and temporal resolution of increasingly complex geometrical and physical modelling components (e.g. Bauer et al 2017;Wollherr et al 2019). SeisSol is verified with a wide range of community benchmarks, including dipping and branching fault geometries, laboratory derived friction laws, as well as heterogeneous on-fault initial stresses and material properties (de la Puente et al 2009;Pelties et al 2012Pelties et al , 2013Pelties et al , 2014Wollherr et al 2018) in line with the SCEC/USGS Dynamic Rupture Code Verification exercises (Harris et al 2011(Harris et al , 2018.…”

Section: Earthquake-tsunami Coupled Modelingmentioning

confidence: 93%

Coupled, Physics-Based Modeling Reveals Earthquake Displacements are Critical to the 2018 Palu, Sulawesi Tsunami

Ulrich

Vater

Madden

et al. 2019

Pure Appl. Geophys.

127

125

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The September 2018, M w 7.5 Sulawesi earthquake occurring on the Palu-Koro strike-slip fault system was followed by an unexpected localized tsunami. We show that direct earthquakeinduced uplift and subsidence could have sourced the observed tsunami within Palu Bay. To this end, we use a physics-based, coupled earthquake-tsunami modeling framework tightly constrained by observations. The model combines rupture dynamics, seismic wave propagation, tsunami propagation and inundation. The earthquake scenario, featuring sustained supershear rupture propagation, matches key observed earthquake characteristics, including the moment magnitude, rupture duration, fault plane solution, teleseismic waveforms and inferred horizontal ground displacements. The remote stress regime reflecting regional transtension applied in the model produces a combination of up to 6 m left-lateral slip and up to 2 m normal slip on the straight fault segment dipping 65 East beneath Palu Bay. The time-dependent, 3D seafloor displacements are translated into bathymetry perturbations with a mean vertical offset of 1.5 m across the submarine fault segment. This sources a tsunami with wave amplitudes and periods that match those measured at the Pantoloan wave gauge and inundation that reproduces observations from field surveys. We conclude that a source related to earthquake displacements is probable and that landsliding may not have been the primary source of the tsunami. These results have important implications for submarine strike-slip fault systems worldwide. Physics-based modeling offers rapid response specifically in tectonic settings that are currently underrepresented in operational tsunami hazard assessment.

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Section: Earthquake-tsunami Coupled Modelingmentioning

confidence: 93%

Coupled, Physics-Based Modeling Reveals Earthquake Displacements are Critical to the 2018 Palu, Sulawesi Tsunami

Ulrich

Vater

Madden

et al. 2019

Pure Appl. Geophys.

127

125

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“…We fit a series of functional regression models that address the following question: what is the epidemiology of activity patterns with age in the UK Biobank and how does disentangling horizontal and vertical variability via registration amplify or modify these trends? We choose to model these associations flexibly using techniques from generalized function-on-scalar regression (FoSR) [ 28 , 29 ], where we allow for the association between the outcome to vary smoothly in time of day, t , and age on the linear predictor scale. We fit separate models for:

, and

stratified by sex where

are the participant-specific estimated warping functions obtained from the registration algorithm described in Section 2.2 .…”

Section: Methodsmentioning

confidence: 99%

Diurnal Physical Activity Patterns across Ages in a Large UK Based Cohort: The UK Biobank Study

Wrobel

Muschelli

Leroux

2021

Sensors

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The ability of individuals to engage in physical activity is a critical component of overall health and quality of life. However, there is a natural decline in physical activity associated with the aging process. Establishing normative trends of physical activity in aging populations is essential to developing public health guidelines and informing clinical perspectives regarding individuals’ levels of physical activity. Beyond overall quantity of physical activity, patterns regarding the timing of activity provide additional insights into latent health status. Wearable accelerometers, paired with statistical methods from functional data analysis, provide the means to estimate diurnal patterns in physical activity. To date, these methods have been only applied to study aging trends in populations based in the United States. Here, we apply curve registration and functional regression to 24 h activity profiles for 88,793 men (N = 39,255) and women (N = 49,538) ages 42–78 from the UK Biobank accelerometer study to understand how physical activity patterns vary across ages and by gender. Our analysis finds that daily patterns in both the volume of physical activity and probability of being active change with age, and that there are marked gender differences in these trends. This work represents the largest-ever population analyzed using tools of this kind, and suggest that aging trends in physical activity are reproducible in different populations across countries.

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“…Compared to scalar regression, this has the advantage that the temporal correlation structure per dog is automatically incorporated in the model and a time effect does not have to be explicitly specified. An introduction to this model class, including a functional response and scalar influence variables, can be found in Bauer, Scheipl, Küchenhoff, and Gabriel ().…”

Section: Animals Materials and Methodsmentioning

confidence: 99%

“…Pairwise, group differences regarding the serum concentrations were visualised using the effect estimates from the functional regression model. In addition, bootstrap‐based pointwise 95% confidence intervals were estimated for each difference to show the corresponding estimation uncertainties (see Bauer et al., , 4.1). As we did not account for multiple testing, the focus was on interpreting the overall structure of the differences.…”

Section: Animals Materials and Methodsmentioning

confidence: 99%

Effects of low phosphorus intake on serum calcium, phosphorus, alkaline phosphatase activity and parathyroid hormone in growing dogs

Kiefer-Hecker

Bauer

Dobenecker

2018

Animal Physiology Nutrition

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A sufficient and balanced supply of calcium and phosphorus is important mainly for the skeletal health of dogs, especially during growth. Numerous reports and research results are quoted, which focus mainly on the effects of both deficient or excessive calcium supplies. The important role that phosphorus plays in the disruption to skeletal development is also explored. The aims of this study were to evaluate the effects of a low phosphorus supply on selected serum parameters of calcium and phosphorus metabolism in both medium and large breed growing dogs, alongside the effects on the apparent digestibility and retention of these minerals as well as the musculoskeletal development, which were published before. Beagle and Foxhound-crossbred puppies (n = 53) between the age of 6 and 24 weeks were either fed a balanced (control) or a low phosphorus diet, the latter one providing about one-third of P amount fed to the control group. In regular intervals, blood samples were obtained to measure serum levels of phosphorus, calcium, alkaline phosphatase activity (ALP) and parathyroid hormone (PTH). Functional Additive Mixed Models were used to analyse these serum concentrations per group and per diet. In the puppies being fed the low phosphorus diet, a distinct decline of serum phosphate concentration was detected with a more pronounced and prolonged effect in the smaller Beagles. At the same time, serum calcium concentration altered in the opposite direction, implying that the product of calcium multiplied by phosphorus was regulated more closely than the calcium to phosphorus ratio. The PTH concentrations were reduced and ALP activity increased at certain time points during the low phosphorus feeding compared to the puppies being fed the control diet. In the latter group, an effect of time or maturation could be demonstrated in relation to the serum phosphate concentration.

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An introduction to semiparametric function-on-scalar regression

Cited by 17 publications

References 41 publications

Coupled, Physics-Based Modeling Reveals Earthquake Displacements are Critical to the 2018 Palu, Sulawesi Tsunami

Coupled, Physics-Based Modeling Reveals Earthquake Displacements are Critical to the 2018 Palu, Sulawesi Tsunami

Diurnal Physical Activity Patterns across Ages in a Large UK Based Cohort: The UK Biobank Study

Effects of low phosphorus intake on serum calcium, phosphorus, alkaline phosphatase activity and parathyroid hormone in growing dogs

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