Partial ages: diagnosing transport processes by means of multiple clocks

Mouchet, Anne; Cornaton, Fabien; Deleersnijder, Éric; Delhez, Eric

doi:10.1007/s10236-016-0922-6

Cited by 16 publications

(21 citation statements)

References 49 publications

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“…Hopefully, the present study will be considered as a modest contribution to the deconstruction of this edifice. We strongly believe that all the developments made above are also relevant to partial ages, a recently developed generalisation of the concept of age [76,112]. This is because there is no fundamental difference between the concept of age and that of partial age: similar lines of argument should apply to both types of diagnoses.…”

Section: Discussionmentioning

confidence: 93%

Consistent Boundary Conditions for Age Calculations

Deleersnijder

Draoui

Lambrechts

et al. 2020

Water

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Age can be evaluated at any time and position to understand transport processes taking place in the aquatic environment, including for reactive tracers. In the framework of the Constituent-oriented Age and Residence time Theory (CART), the age of a constituent or an aggregate of constituents, including the water itself, is usually defined as the time elapsed since leaving the boundary where the age is set or reset to zero. The age is evaluated as the ratio of the age concentration to the concentration, which are the solution of partial differential equations. The boundary conditions for the concentration and age concentration cannot be prescribed independently of each other. Instead, they must be derived from boundary conditions designed beforehand for the age distribution function (the histogram of the ages, the age theory core variable), even when this variable is not calculated explicitly. Consistent boundary conditions are established for insulating, departure and arrival boundaries. Gas exchanges through the water–air interface are also considered. Age fields ensuing from consistent boundary conditions and, occasionally, non-consistent ones are discussed, suggesting that the methodology advocated herein can be utilized by most age calculations, be they used for diagnosing the results of idealised models or realistic ones.

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Section: Discussionmentioning

confidence: 93%

Consistent Boundary Conditions for Age Calculations

Deleersnijder

Draoui

Lambrechts

et al. 2020

Water

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“…Theoretically, the time elapsed since the particulates leave the surface layer where the VPA = 0 is the sum of the time spent in the water column (in‐suspension age) and the time spent in the sediments (on‐seabed age). The calculation of in‐suspension age and on‐seabed age by means of the virtual age clock is similar to partial age (Mouchet et al., 2016).…”

Section: Methodsmentioning

confidence: 98%

Vertical Transport Timescale of Surface‐Produced Particulate Material in the Chesapeake Bay

Xiong

Shen

2022

JGR Oceans

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Accumulation and remineralization of surface‐produced particulate organic matter (POM) in the water column and seabed link closely to hypoxia and the health of aquatic ecosystems. The POM retention time provides a key timescale to interpret biochemical reaction processes. In this study, we investigated the spatiotemporal variations in the vertical particulate age (VPA) of surface‐produced POM, which is the mean time elapsed since the particulates last contact the surface, by incorporating major physical processes including sinking, resuspension, and deposition in the Chesapeake Bay. It was found that the vertical transport time for the particulates (i.e., VPA) is much longer than the dissolved counterparts as the former consists of new material from the surface and the resuspended aged material that has elongated resting on the seabed after deposition. The VPA is sensitive to settling velocity, especially in low‐frequent resuspension environments, and varies over 2 orders of magnitude with settling velocity from 0 to 10 m/day. Slow‐sinking material can remain in suspension and seldom settle to the seabed, thus mainly contribute to pelagic processes, while the fast‐sinking material connects closely with benthic processes. The seasonality of VPA decreases as the settling velocity increases. No significant difference in VPA was found between wet and dry years, yet the episodic strong flood events entrain old materials from the depositional lateral shoals to increase VPA in the channel. The transport age bridges cross disciplinaries by providing the fourth‐dimensional age information as a common currency to compare the physical transport timescale with the timescales for biochemical reactions.

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“…One widely used approach to calculate transport time scales is the Constituent-oriented Age and Residence Time Theory (CART, www.climate.be/cart, accessed on 10 March 2024) [2]. This approach has also been applied to estimate exposure time to specific spatial regions, defined as partial age [3]. By analogy to partial age, a "property-tracking" approach has been proposed [4] and applied to phytoplankton modeling [5].…”

Section: Introductionmentioning

confidence: 99%

Estimating Effective Light Exposure by Property-Tracking Tracers

Gross,

Holleman,

Deleersnijder

et al. 2024

Water

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A numerical approach to estimating the mean exposure of a tracer to a scalar property is applied to predict the light exposure of sinking phytoplankton. In our application, effective light exposure is defined as the time integral of a light limitation factor commonly used in phytoplankton models. Solutions from an adjoint approach have previously been published for a set of one-dimensional sinking phytoplankton scenarios. We illustrate that a simple extension to a standard advection–diffusion model produces similar results. Specifically, we present numerical solutions using property tracking in a one-dimensional advection–diffusion model for multiple tracers. Solutions are calculated for a range of eddy diffusivity distributions and compared with the published solutions. The consistency of the numerical solutions with the published solutions provides validation of the property-tracking approach. While the adjoint method solution is much less computationally intensive for the test cases, the property-tracking approach can be applied in multidimensional time-varying applications with an arbitrary distribution of sinking speed, diffusivity, and turbidity for which an adjoint solution has not been developed. Our intention is for this example application and corroboration of the “property-tracking” approach to inspire readers to envision additional applications for this approach.

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Partial ages: diagnosing transport processes by means of multiple clocks

Cited by 16 publications

References 49 publications

Consistent Boundary Conditions for Age Calculations

Consistent Boundary Conditions for Age Calculations

Vertical Transport Timescale of Surface‐Produced Particulate Material in the Chesapeake Bay

Estimating Effective Light Exposure by Property-Tracking Tracers

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