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From John Graunt to Adolphe Quetelet: on the Origins Of Demography
Kalina, Jan
2023 - English
John Graunt (1620-1674) and Adolphe Quetelet (1796-1874) were two important personalities, who contributed to the origins of demography. As they both developed statistical techniques for the analysis of demographic data, they are important also from the point of view of history of statistics. The contributions of both Graunt and Quetelet especially to the development of mortality tables and models are recalled in this paper. Already from the 17th century, the available mortality tables were exploited for computing life annuities. Also the contribution of selected personalities inspired by Graunt are recalled here, the work of Christian Huygens, Jacob Bernoulli, or Abraham de Moivre is discussed to document that the historical development of statistics and probability theory was connected with the development of demography.
Keywords:
history of demography; history of statistics; probability theory; moral statistics; mortality tables
Fulltext is available at external website.
From John Graunt to Adolphe Quetelet: on the Origins Of Demography
John Graunt (1620-1674) and Adolphe Quetelet (1796-1874) were two important personalities, who contributed to the origins of demography. As they both developed statistical techniques for the analysis ...
MAD UFOs: Magnetically Arrested Discs with persistent Ultra-Fast Outflows
Suková, Petra; Zajaček, M.; Karas, Vladimír
2023 - English
We study an outflow that develops in the MAD state in 3D GRMHD simulations. We show that the outflow can be accelerated to\nrelativistic velocities and persist over the course of our simulation. We compare the properties of the outflow from MAD discs with those launched by orbiting secondary at close orbit. The main difference is that the orbiting body launches a more coherent, quasiperiodic ultrafast outflow at lower velocities (v < 0.5c) while the outflow launched in the MAD state (without the body) has a stochastic behaviour and has anapproximately flat velocity distribution between lower anf higher outflow velocities, 0.2c < v < 0.3c and v > 0.5c.
Keywords:
accretion discs; black holes; active galactic nuclei
Fulltext is available at external website.
MAD UFOs: Magnetically Arrested Discs with persistent Ultra-Fast Outflows
We study an outflow that develops in the MAD state in 3D GRMHD simulations. We show that the outflow can be accelerated to\nrelativistic velocities and persist over the course of our simulation. We ...
TESTING THE METHOD OF MULTIPLE SCALES AND THE AVERAGING PRINCIPLE FOR MODEL PARAMETER ESTIMATION OF QUASIPERIODIC TWO TIME-SCALE MODELS
Papáček, Štěpán; Matonoha, Ctirad
2023 - English
Some dynamical systems are characterized by more than one timescale, e.g. two well separated time-scales are typical for quasiperiodic systems. The aim of this paper is to show how singular perturbation methods based on the slow-fast decomposition can serve for an enhanced parameter estimation when the slowly changing features are rigorously treated. Although the ultimate goal is to reduce the standard error for the estimated parameters, here we test two methods for numerical approximations of the solution of associated forward problem: (i) the multiple time-scales method, and (ii) the method of averaging. On a case study, being an under-damped harmonic oscillator containing two state variables and two parameters, the method of averaging gives well (theoretically predicted) results, while the use of multiple time-scales method is not suitable for our purposes.
Keywords:
Dynamical system; Singular perturbation; Averaging; Parameter estimation; Slow-fast decomposition; Damped oscillations
Fulltext is available at external website.
TESTING THE METHOD OF MULTIPLE SCALES AND THE AVERAGING PRINCIPLE FOR MODEL PARAMETER ESTIMATION OF QUASIPERIODIC TWO TIME-SCALE MODELS
Some dynamical systems are characterized by more than one timescale, e.g. two well separated time-scales are typical for quasiperiodic systems. The aim of this paper is to show how singular ...
Different Boundary Conditions For LES Solver PALM 6.0 Used for ABL in Tunnel Experiment
Řezníček, Hynek; Geletič, Jan; Bureš, Martin; Krč, Pavel; Resler, Jaroslav; Vrbová, Kateřina; Trush, Arsenii; Michálek, Petr; Beneš, L.; Sühring, M.
2023 - English
We tried to reproduce results measured in the wind tunnel experiment with a CFD simulation provided by numerical model PALM. A realistic buildings layout from the Prague-Dejvice quarter has been chosen as a testing domain because solid validation campaign for PALM simulation of Atmospheric Boundary Layer (ABL) over this quarter was documented in the past. The question of input data needed for such simulation and capability of the model to capture correctly the inlet profile and its turbulence structure provided by the wind-tunnel is discussed in the study The PALM dynamical core contains a solver for the Navier-Stokes equations. By default, the model uses the Large Eddy Simulation (LES) approach in which the bulk of the turbulent motions is explicitly resolved. It is well validated tool for simulations of the complex air-flow within the real urban canopy and also within its reduced scale provided by wind tunnel experiments. However the computed flow field between the testing buildings did not correspond well to the measured wind velocity in some points. Different setting of the inlet boundary condition was tested but none of them gave completely developed turbulent flow generated by vortex generators and castellated barrier wall place at the entrance of the aerodynamic section of the wind tunnel.
Keywords:
large eddy simulation; wind tunnel; atmospheric boundary layer; PALM model; turbulence
Fulltext is available at external website.
Different Boundary Conditions For LES Solver PALM 6.0 Used for ABL in Tunnel Experiment
We tried to reproduce results measured in the wind tunnel experiment with a CFD simulation provided by numerical model PALM. A realistic buildings layout from the Prague-Dejvice quarter has been ...
On the structure and values of betweenness centrality in dense betweenness-uniform graphs
Ghanbari, B.; Hartman, David; Jelínek, V.; Pokorná, Aneta; Šámal, R.; Valtr, P.
2023 - English
Betweenness centrality is a network centrality measure based on the amount of shortest paths passing through a given vertex. A graph is betweenness-uniform (BUG)if all vertices have an equal value of betweenness centrality. In this contribution, we focus on betweenness-uniform graphs with betweenness centrality below one. We disprove a conjecture about the existence of a BUG with betweenness value α for any rational numberαfrom the interval (3/4,∞) by showing that only very few betweenness centrality values below 6/7 are attained for at least one BUG. Furthermore, among graphs with diameter at least three, there are no betweenness-uniform graphs with a betweenness centrality smaller than one. In graphs of smaller diameter, the same can be shown under a uniformity condition on the components of the complement.
Keywords:
betweenness; graphs
Available in digital repository of the ASCR
On the structure and values of betweenness centrality in dense betweenness-uniform graphs
Betweenness centrality is a network centrality measure based on the amount of shortest paths passing through a given vertex. A graph is betweenness-uniform (BUG)if all vertices have an equal value of ...
Ambiguity in Stochastic Optimization Problems with Nonlinear Dependence on a Probability Measure via Wasserstein Metric
Kaňková, Vlasta
2023 - English
Many economic and financial applications lead to deterministic optimization problems depending on a probability measure. It happens very often (in applications) that these problems have to be solved on the data base. Point estimates of an optimal value and estimates of an optimal solutionset can be obtained by this approach. A consistency, a rate of convergence and normal properties, of these estimates, have been discussed (many times) not only under assumptions of independent data corresponding to the distributions with light tails, but also for weak dependent data and the distributions with heavy tails. However, it is also possible to estimate (on the data base) a confidence intervals and bounds for the optimal value and the optimal solutions. To analyze this approach we focus on a special case of static problems depending nonlineary on the probability measure. Stability results based on the Wasserstein metric and the Valander approach will be employed for the above mentioned analysis.
Keywords:
Stochastic optimization problems; static problems; empirical measure; point estimates; interval estimates; nonlinear dependence
Fulltext is available at external website.
Ambiguity in Stochastic Optimization Problems with Nonlinear Dependence on a Probability Measure via Wasserstein Metric
Many economic and financial applications lead to deterministic optimization problems depending on a probability measure. It happens very often (in applications) that these problems have to be solved ...
Dissolved and gaseous nitrogen losses in forests controlled by soil nutrient stoichiometry
Oulehle, Filip; Chuman, T.; Hruška, Jakub; Krám, Pavel; Navrátil, Tomáš; Tesař, Miroslav; Ač, Alexander; Urban, Otmar
2023 - English
This study investigates the consequences of chronic nitrogen deposition in forests, including its effects on soil and surface water quality, and greenhouse gas emissions. To predict these effects, the authors explore the controls over dissolved and gaseous nitrogen fluxes in temperate forests. Their findings indicate that stream leaching losses of dissolved nitrogen correspond with the nutrient stoichiometry\nof the forest floor, with stream N losses increasing as ecosystems progress towards phosphorus limitation. Soil nitrogen storage increases with oxalate extractable iron and aluminium content. The authors estimate soil gaseous losses based on 15 N stocks, which averaged 2.5±2.2 kg N ha-1 year-1 , comprising 20±14% of total nitrogen deposition. They also extrapolate the current gaseous nitrogen loss flux from forests globally to be 8.9 Tg N year-1 , which represents 39% of current nitrogen deposition to forests worldwide.
Keywords:
nitrogen; catchment; isotope; mass balance; denitrification; carbon; sequestration
Available in digital repository of the ASCR
Dissolved and gaseous nitrogen losses in forests controlled by soil nutrient stoichiometry
This study investigates the consequences of chronic nitrogen deposition in forests, including its effects on soil and surface water quality, and greenhouse gas emissions. To predict these effects, the ...
Runoff from a mainly peat bog basin
Vlček, Lukáš; Falátková, Kristýna
2023 - Czech
This research focuses on the basin's hydrological regime, where peatlands make up approximately half of the area. Hydrological processes in the peat bog and the surrounding forest were evaluated using the HBV model. The results show that the peatlands significantly increase the water regime fluctuation of local streams. Moreover, water balance shows a lower cooling effect of tree-less peat bogs than forests on organo-mineral soils. Except for a positive ecological aspect, peatland restoration can have a negative hydrological impact on the surrounding landscape and local streams. Příspěvek se věnuje hydrologickému režimu povodí, kde rašeliniště tvoří přibližně polovinu rozlohy. Pomocí modelu byly hodnoceny hydrologické procesy v rašeliništi a okolním lese. Z výsledků vyplývá, že rašeliniště výrazně zvyšuje fluktuaci vodního režimu místních toků. Vodní bilance zase ukazuje snížený ochalozovací efekt rašelinišť bez stromového patra oproti lesům na organominerální půdě. Revitalizace rašelinišť tak může mít kromě pozitivního ekologického aspektu negativní hydroogický dopad na okolní krajinu a místní toky.
Keywords:
water balance; peat bog; runoff formation
Fulltext is available at external website.
Runoff from a mainly peat bog basin
This research focuses on the basin's hydrological regime, where peatlands make up approximately half of the area. Hydrological processes in the peat bog and the surrounding forest were evaluated using ...
Time variabilty of soil hydraulic properties and their impact on soil moisture estimation
Šípek, Václav; Vlček, Lukáš; Tesař, Miroslav; Zelíková, Nikol; Hnilica, Jan
2023 - Czech
The study was focused on the temporal variability of saturated hydraulic conductivity in an experimental plot covered by spruce forest and investigated benefits of its incorporation into soil water balance model. The results showed that the higher saturated hydraulic conductivity (33.6-44.8 cm hr-1) was observed in summer period compared to lower values (13.2-22.3 cm hr-1) in the winter period. The use of seasonally variabile saturated hydraulic conductivity improved the efficiency of soil water balance model in terms of lower root mean square error between observed and simulated volumetric soil water content by 33.2 %. The Nash-Sutcliffe coefficient rose from 0.34 to 0.68. Půdní vlhkost hraje významnou roli v hydrologickém cyklu, protože zásadně ovlivňuje proudění vody v systému voda-půda-rostlina. Studie je zaměřena na celoroční odhad nasycení půdního profilu vodou v zalesněném horském území s využitím jednoduchého modelu založenému na konceptu lineární nádrže. Studie je založena na terénním měření nasycené hydraulické vodivosti a zavedení periodické funkce nasycené hydraulické vodivosti do modelu půdní vlhkosti, která možní její sezónní proměnlivost. \nPrůměrná nasycená hydraulická vodivost měřená jednoválcovým infiltrometrem byla v průběhu dvou let vždy vyšší ve vegetačním období, kdy se pohybovala od 33,6 do 44,8 cm hod-1, oproti zimním období, kdy poklesla do rozmezí 13,2 až 22,3 cm hod-1. Do modelu půdní vlhkosti byla implementována funkce, která umožnila spojitou změnu nasycené hydraulické vodivosti s maximem ve vegetační sezóně a minimum v zimním období. Tato modifikace modelu půdní vlhkosti vedla k poklesu průměrné čtvercové chyby odhadu půdní vlhkosti o 33,2 % (z 0,034 cm3cm-3 na 0,023 cm3cm-3) a nárůstu hodnoty Nash-Sutcliffova koeficientu z 0,34 na 0,68. Výsledky studie přispějí k přesnějšímu celoročnímu odhadu půdní vlhkosti, a tedy i ke zlepšení dlouhodobých simulací vlivu klimatické změny na dostupnost vodních zdrojů.\n
Keywords:
soil moisture; soil hydraulic properties; saturated hydraulic conductivity; climate change
Fulltext is available at external website.
Time variabilty of soil hydraulic properties and their impact on soil moisture estimation
The study was focused on the temporal variability of saturated hydraulic conductivity in an experimental plot covered by spruce forest and investigated benefits of its incorporation into soil water ...
Where and how much water do trees transport? Modelling the impact of spruce and beech stands on soil water fluxes during extreme climatic conditions
Zelíková, Nikol; Šípek, Václav
2023 - Czech
Soil moisture links processes that influence the entire hydrological cycle and thus the availability of water resources. One important factor influencing these processes is the presence of vegetation. Research on the interactions between vegetation, its management and the processes affecting soil water fluxes is of particular importance in times of ongoing climate change and land cover changes. However, the complexity of these interactions, further influenced by differences between plant species, makes this research more difficult. Land cover change is also taking place in Czechia, specifically in the replacement of spruce monocultures by beech. Therefore, this study investigates the influence of two types of forest stands, spruce (Picea abies) and beech (Fagus sylvatica), on the soil water regime in the experimental Liz catchment in Bohemian Forest, Czechia. This was performed by (1) evaluating differences in soil moisture based on twenty years of measured data and (2) obtaining the two components of the soil water balance (transpiration and percolation) at two plots (beech and spruce) using a soil water balance model. Analysis of the long-term soil moisture data show slightly lower soil moisture values under the beech stands, which disappear when comparing the annual mean values. Differences are evident when evaluating average soil moisture data with depth, where the topmost layer of the soil profile at the spruce site has on average 6% higher soil water content than beech. At the start of the growing season the soil moisture was initially drier under spruce, due to its earlier start of transpiration. This difference was reduced over the season by the intensive transpiration of beech. The outputs of the balance model indicated a higher rate of actual evapotranspiration of beech and a higher rate of percolation of spruce every year. This effect was more pronounced over the dry years, whereas in years with sufficient rainfall the differences were minimal. Thus, the replacement of spruce trees by beech trees may affect the rate of groundwater recharge. Půdní vlhkost propojuje takové procesy, které ovlivňují celý hydrologický cyklus, a tím i dostupnost vodních zdrojů. Jedním z významných faktorů ovlivňující tyto procesy je přítomnost vegetace. Výzkum interakcí mezi vegetací, jejím managementem a procesy ovlivňující toky půdní vody nabývá na významu zejména v době probíhajících klimatických změn i změn krajinného pokryvu. Avšak komplexnost těchto interakcí, ovlivněná navíc jejich rozdílností mezi jednotlivými rostlinnými druhy tento výzkum ztěžuje. Proměna krajinného pokryvu probíhá také v českém lesnictví, konkrétně v podobě obměny smrkových monokultur buky. V této studii je proto zkoumán vliv dvou typů lesních porostů, smrku ztepilého (Picea abies) a buku lesního (Fagus sylvatica), na vodní režim půdy v experimentálním povodí Liz na Šumavě. A to (1) zjištěním rozdílů v množství půdní vláhy na základě dvaceti let naměřených dat a (2) získáním složek vodní bilance (transpirace a perkolace) na těchto dvou kontrastních plochách pomocí modelu bilance půdní vody. Z analýzy dlouhodobých dat půdních vlhkostí vyplývají nepatrně nižší hodnoty půdních vlhkostí pod porosty buku, které zanikají při srovnání průměrných ročních hodnot. Odlišnosti jsou patrné při hodnocení průměrných vlhkostí s hloubkou, kde v nejsvrchnější vrstvě půdního profilu smrk disponuje v průměru o 6 % vyššími zásobami půdní vody než buk. Z pohledu vývoje půdních vlhkostí během vegetační sezóny je půda z počátku sušší pod smrkem, který započíná svou transpiraci dříve. Tento rozdíl je v průběhu sezóny zredukován intenzivní transpirací buku. Výstupy bilančního modelu poukázaly na vyšší míru aktuální evapotranspirace buku a vyšší míru perkolace smrku během každého roku. Tento jev byl zvýrazněn během suchých let, kdežto v letech s dostatkem srážek byly rozdíly minimální. Zvýšení četnosti buku v krajině, tak může ovlivnit míru dotace podzemních vod.
Keywords:
soil water balance; transpiration; percolation; land cover change; drought
Fulltext is available at external website.
Where and how much water do trees transport? Modelling the impact of spruce and beech stands on soil water fluxes during extreme climatic conditions
Soil moisture links processes that influence the entire hydrological cycle and thus the availability of water resources. One important factor influencing these processes is the presence of vegetation. ...
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