scholarly journals Spatiotemporal distributions of icebergs in a temperate fjord: Columbia Fjord, Alaska

2019 ◽  
Vol 13 (7) ◽  
pp. 1785-1799 ◽  
Author(s):  
Sarah U. Neuhaus ◽  
Slawek M. Tulaczyk ◽  
Carolyn Branecky Begeman

Abstract. Much of the world's ice enters the ocean via outlet glaciers terminating in fjords. Inside fjords, icebergs may affect glacier–ocean interactions by cooling incoming ocean waters, enhancing vertical mixing, or providing back stress on the terminus. However, relatively few studies have been performed on iceberg dynamics inside fjords, particularly outside of Greenland. We examine icebergs calved from Columbia Glacier, Alaska, over 8 months spanning late winter to mid-fall using 0.5 m resolution satellite imagery, identifying icebergs based on pixel brightness. Iceberg sizes fit a power-law distribution with an overall power-law exponent, m, of -1.26±0.05. Seasonal variations in the power-law exponent indicate that brittle fracture of icebergs is more prevalent in the summer months. Combining our results with those from previous studies of iceberg distributions, we find that iceberg calving rate, rather than water temperature, appears to be the major control on the exponent value. We also analyze icebergs' spatial distribution inside the fjord and find that large icebergs (10 000–100 000 m2 cross-sectional area) have low spatial correlation with icebergs of smaller sizes due to their tendency to ground on shallow regions. We estimate the surface area of icebergs in contact with incoming seawater to be 3.0±0.63×104 m2. Given the much larger surface area of the terminus, 9.7±3.7×105 m2, ocean interactions with the terminus may have a larger impact on ocean heat content than interactions with icebergs.

2019 ◽  
Author(s):  
Sarah U. Neuhaus ◽  
Slawek M. Tulaczyk ◽  
Carolyn Branecky Begeman

Abstract. Fjord-terminating glaciers account for the majority of recent sea level rise. Inside fjords, icebergs may affect glacier-ocean interactions by cooling incoming ocean waters, enhancing vertical mixing, or by providing back stress on the terminus. However, relatively few studies have been performed on iceberg dynamics inside fjords, particularly outside of Greenland. We examine icebergs calved from Columbia Glacier, Alaska, over eight months spanning late winter to mid-fall using 0.5-meter resolution satellite imagery, identifying icebergs based on pixel brightness. Iceberg sizes fit a power-law distribution with an overall power-law exponent, m, of −1.26 ± 0.05. We find that iceberg calving rate, rather than water temperature, appears to be the major control on the exponent value. We also examine iceberg spatial distribution inside the fjord, and find that large icebergs (10,000 m2 − 100,000 m2 cross-sectional area) have low spatial correlation with icebergs of smaller sizes (correlation coefficients between 0.345 ± 0.132 and 0.490 ± 0.114, compared to 0.809 ± 0.052 − 0.989 ± 0.006 for the highly spatially-correlated smaller icebergs), due to their tendency to ground on the shallows. We estimate the surface area of icebergs in contact with incoming seawater to be 2.8 ± 0.58 × 104 m2. When compared with our estimated terminus surface area, 9.7 ± 3.7 × 105 m2, we expect iceberg impact on the heat content of the incoming seawater to be negligible in this fjord. Additionally, we find mechanical buttressing of the glacier to be negligible due to low iceberg density near the calving front and lack of winter sea ice in the fjord.


2014 ◽  
Vol 998-999 ◽  
pp. 1146-1150
Author(s):  
Rui Tian ◽  
Xu Han ◽  
Wen Jun Wang

The understanding of the temporal patterns of individual human interactions is essential in explaining many characteristics of human behavior. The instant communication tool QQ is developing rapidly on the network in recent years. Based on the QQ group communication records provided by some volunteers, this paper investigates the statistics of the inter-event intervals between two consecutive messages. The result shows that they follow power-law distribution. And there are obvious positive correlation between the activity of QQ group and the power-law exponent of inter-event time distribution. In further study, we find that the distribution displays a strong bursty property yet weak memory effects, then we analysis the distribution of the number of events in a bursty period.


2021 ◽  
Author(s):  
Jakob Schreiner ◽  
Kent-Andre Mardal

Abstract Epileptic seizures are due to excessive and synchronous neural activity. Extensive modelling of seizures has been done on the neuronal level, but it remains a challenge to scale these models up to whole brain models. Measurements of the brain’s activity over several spatiotemporal scales follow a power-law distribution in terms of frequency. During normal brain activity, the power-law exponent is often found to be around 2 for frequencies between a few Hz and up to 150 Hz, but is higher during seizures and for higher frequencies. The Bidomain model has been used with success in modelling the electrical activity of the heart, but has been explored far less in the context of the brain. This study extends previous models of epileptic seizures on the neuronal level to the whole brain using the Bidomain model. Our approach is evaluated in terms of power-law distributions. The electric potentials were simulated in 7 idealized 2D models and 3 MRI-derived 3D patient-specific models. Computed electric potentials were found to follow power-law distribtions with slopes ranging from 2 to 5 for frequencies greater than 10-30 Hz.


2021 ◽  
pp. 107754632110278
Author(s):  
Mohammadreza Amoozgar ◽  
Len Gelman

In this article, the exact free vibration of porous functionally graded rotating blades is investigated. The nonlinear 3D dynamics of the blade is simulated using the geometrically exact fully intrinsic beam equations, and the corresponding cross-sectional properties of the FG beam are developed. The material properties of the functionally graded material blade are graded through the thickness using a power law distribution. Furthermore, it is assumed that due to the manufacturing process, a level of porosity exists in the material which in turn can affect the material properties of the blade. Two porosity models resembling the even and uneven distributions of porosity are considered. First, the obtained results for a functionally graded material rotating blade are compared with those reported in the literature, and a very good agreement is observed. Furthermore, the effect of various parameters on the vibration of the functionally graded material beam is investigated. It is obtained that the dynamics of the rotating blade is sensitive to the type of the porosity due to manufacturing flaws. Moreover, the numerical results show that the blade length to height ratio, power law index, rotating speed and porosity distribution model affect the dynamics of the beam significantly.


2014 ◽  
Vol 21 (1) ◽  
pp. 1-8 ◽  
Author(s):  
K. Matsuyama ◽  
H. Katsuragi

Abstract. Penetration-resistant force and acoustic emission (AE) from a plunged granular bed are experimentally investigated through their power law distribution forms. An AE sensor is buried in a glass bead bed. Then, the bed is slowly penetrated by a solid sphere. During the penetration, the resistant force exerted on the sphere and the AE signal are measured. The resistant force shows power law relation to the penetration depth. The power law exponent is independent of the penetration speed, while it seems to depend on the container's size. For the AE signal, we find that the size distribution of AE events obeys power laws. The power law exponent depends on grain size. Using the energy scaling, the experimentally observed power law exponents are discussed and compared to the Gutenberg–Richter (GR) law.


2020 ◽  
Author(s):  
Abdellatif Selmi

Abstract The vibration of post - buckl ed fluid - conveying pipe made of functionally graded material is analyzed . The pipe material properties are assumed to be graded in the thickness dire ction according to power - law distribution. A n exact solution is obtained for the post - buckling deformation of the fluid - conveying functionally graded pipe with various boundary conditions. T he linear vibration problem is solved around the first buckled con figuration and t he natural frequencies of the three lowest vibration modes are obtained. The influences of power - law exponent, initial tension, fluid density and fluid velocity on the static deflection and free vibration frequencies are studied.


2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Ghislain Romaric Meleu ◽  
Paulin Yonta Melatagia

AbstractUsing the headers of scientific papers, we have built multilayer networks of entities involved in research namely: authors, laboratories, and institutions. We have analyzed some properties of such networks built from data extracted from the HAL archives and found that the network at each layer is a small-world network with power law distribution. In order to simulate such co-publication network, we propose a multilayer network generation model based on the formation of cliques at each layer and the affiliation of each new node to the higher layers. The clique is built from new and existing nodes selected using preferential attachment. We also show that, the degree distribution of generated layers follows a power law. From the simulations of our model, we show that the generated multilayer networks reproduce the studied properties of co-publication networks.


2021 ◽  
Author(s):  
David A Garcia ◽  
Gregory Fettweis ◽  
Diego M Presman ◽  
Ville Paakinaho ◽  
Christopher Jarzynski ◽  
...  

Abstract Single-molecule tracking (SMT) allows the study of transcription factor (TF) dynamics in the nucleus, giving important information regarding the diffusion and binding behavior of these proteins in the nuclear environment. Dwell time distributions obtained by SMT for most TFs appear to follow bi-exponential behavior. This has been ascribed to two discrete populations of TFs—one non-specifically bound to chromatin and another specifically bound to target sites, as implied by decades of biochemical studies. However, emerging studies suggest alternate models for dwell-time distributions, indicating the existence of more than two populations of TFs (multi-exponential distribution), or even the absence of discrete states altogether (power-law distribution). Here, we present an analytical pipeline to evaluate which model best explains SMT data. We find that a broad spectrum of TFs (including glucocorticoid receptor, oestrogen receptor, FOXA1, CTCF) follow a power-law distribution of dwell-times, blurring the temporal line between non-specific and specific binding, suggesting that productive binding may involve longer binding events than previously believed. From these observations, we propose a continuum of affinities model to explain TF dynamics, that is consistent with complex interactions of TFs with multiple nuclear domains as well as binding and searching on the chromatin template.


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