Compositional Scalar-on-Function Regression with Application to Sediment Particle Size Distributions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388980%3A_____%2F21%3A00542305" target="_blank" >RIV/61388980:_____/21:00542305 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989592:15310/21:73610049

Výsledek na webu

<a href="http://hdl.handle.net/11104/0322722" target="_blank" >http://hdl.handle.net/11104/0322722</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11004-021-09941-1" target="_blank" >10.1007/s11004-021-09941-1</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Compositional Scalar-on-Function Regression with Application to Sediment Particle Size Distributions

Popis výsledku v původním jazyce

The chemical composition of sediments is controlled predominantly by the sediment grain size, and thus evaluating their relationship is an important task in sedimentary geochemistry. The grain size is characterized by the respective particle size distribution, which can be expressed as a probability density function. Because of the relative character of densities, the Bayes space methodology was employed to build a regression model between a real response and a density function as a covariate, here the chemical composition and the particle size density. For practical computations, density functions were expressed in the standard L-2 space using the centred logratio transformation and spline approximation of the input discretized densities was utilized by respecting the induced zero-integral constraint. After a concise simulation study, supporting the relevance of the proposed regression model, the new methodology was applied to examine the relationship between sediment grain size and geochemical composition, with samples being obtained in the Czech Republic in the Skalka Reservoir and in the Oh.re River floodplain upstream of the reservoir, to reveal proper grain size proxies. The Al/Si and Zr/Rb logratios in the sediments that were studied showed grain-size control, which makes them suitable for this purpose.

Název v anglickém jazyce

Compositional Scalar-on-Function Regression with Application to Sediment Particle Size Distributions

Popis výsledku anglicky

The chemical composition of sediments is controlled predominantly by the sediment grain size, and thus evaluating their relationship is an important task in sedimentary geochemistry. The grain size is characterized by the respective particle size distribution, which can be expressed as a probability density function. Because of the relative character of densities, the Bayes space methodology was employed to build a regression model between a real response and a density function as a covariate, here the chemical composition and the particle size density. For practical computations, density functions were expressed in the standard L-2 space using the centred logratio transformation and spline approximation of the input discretized densities was utilized by respecting the induced zero-integral constraint. After a concise simulation study, supporting the relevance of the proposed regression model, the new methodology was applied to examine the relationship between sediment grain size and geochemical composition, with samples being obtained in the Czech Republic in the Skalka Reservoir and in the Oh.re River floodplain upstream of the reservoir, to reveal proper grain size proxies. The Al/Si and Zr/Rb logratios in the sediments that were studied showed grain-size control, which makes them suitable for this purpose.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10511 - Environmental sciences (social aspects to be 5.7)

Projekt

<a href="/cs/project/GA19-01768S" target="_blank" >GA19-01768S: Separace geochemických signálů v sedimentech: aplikace pokročilých statistických metod na rozsáhlé geochemické datové soubory</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Mathematical Geosciences

ISSN

1874-8961

e-ISSN

1874-8953

Svazek periodika

53

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

29

Strana od-do

1667-1695

Kód UT WoS článku

000642867300001

EID výsledku v databázi Scopus

2-s2.0-85105144756