skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Linking age, survival, and transit time distributions

 [1];  [1]
  1. Department of Civil and Environmental EngineeringDuke UniversityDurham North Carolina USA
Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:  
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Water Resources Research
Additional Journal Information:
Journal Name: Water Resources Research Journal Volume: 51 Journal Issue: 10; Journal ID: ISSN 0043-1397
American Geophysical Union (AGU)
Country of Publication:
United States

Citation Formats

Calabrese, Salvatore, and Porporato, Amilcare. Linking age, survival, and transit time distributions. United States: N. p., 2015. Web. doi:10.1002/2015WR017785.
Calabrese, Salvatore, & Porporato, Amilcare. Linking age, survival, and transit time distributions. United States. doi:
Calabrese, Salvatore, and Porporato, Amilcare. Tue . "Linking age, survival, and transit time distributions". United States. doi:
title = {Linking age, survival, and transit time distributions},
author = {Calabrese, Salvatore and Porporato, Amilcare},
abstractNote = {},
doi = {10.1002/2015WR017785},
journal = {Water Resources Research},
number = 10,
volume = 51,
place = {United States},
year = {2015},
month = {10}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Mathematical models for cellular systems the von Foerster equation. Part I
journal, September 1965

  • Trucco, E.
  • The Bulletin of Mathematical Biophysics, Vol. 27, Issue 3
  • DOI: 10.1007/BF02478406

Some simple models for nonlinear age-dependent population dynamics
journal, April 1979

The McKendrick partial differential equation and its uses in epidemiology and population study
journal, September 1997

Notes on Groundwater Age in Forward and Inverse Modeling
journal, July 2009

  • Ginn, Timothy R.; Haeri, Hanieh; Massoudieh, Arash
  • Transport in Porous Media, Vol. 79, Issue 1
  • DOI: 10.1007/s11242-009-9406-1

Residence Time Theory
journal, May 2008

  • Nauman, E. Bruce
  • Industrial & Engineering Chemistry Research, Vol. 47, Issue 10
  • DOI: 10.1021/ie071635a

Quantifying catchment-scale mixing and its effect on time-varying travel time distributions: QUANTIFYING CATCHMENT-SCALE MIXING
journal, June 2012

  • van der Velde, Y.; Torfs, P. J. J. F.; van der Zee, S. E. A. T. M.
  • Water Resources Research, Vol. 48, Issue 6
  • DOI: 10.1029/2011WR011310

Applications of Mathematics to Medical Problems
journal, February 1925

Residence time distribution theory for unsteady stirred tank reactors
journal, September 1969

Estimating mean lifetime
journal, September 2003

  • Bongaarts, J.; Feeney, G.
  • Proceedings of the National Academy of Sciences, Vol. 100, Issue 23
  • DOI: 10.1073/pnas.2035060100

Using long-term data sets to understand transit times in contrasting headwater catchments
journal, April 2009

Direct Simulation of Groundwater Age
journal, February 1996

State-dependent fire models and related renewal processes
journal, October 2006

Toward a general theory of the age in ocean modelling
journal, January 1999

Tracking residence times in hydrological systems: forward and backward formulations: Forward and Backward TTD
journal, June 2015

  • Benettin, Paolo; Rinaldo, Andrea; Botter, Gianluca
  • Hydrological Processes, Vol. 29, Issue 25
  • DOI: 10.1002/hyp.10513

Catchment residence and travel time distributions: The master equation: CATCHMENT RESIDENCE TIMES
journal, June 2011

  • Botter, Gianluca; Bertuzzo, Enrico; Rinaldo, Andrea
  • Geophysical Research Letters, Vol. 38, Issue 11
  • DOI: 10.1029/2011GL047666

On the probabilistic structure of water age: Probabilistic Water Age
journal, May 2015

  • Porporato, Amilcare; Calabrese, Salvatore
  • Water Resources Research, Vol. 51, Issue 5
  • DOI: 10.1002/2015WR017027

Kinematics of age mixing in advection-dispersion models: AGE MIXING IN ADVECTION-DISPERSION MODELS
journal, December 2013

  • Benettin, Paolo; Rinaldo, Andrea; Botter, Gianluca
  • Water Resources Research, Vol. 49, Issue 12
  • DOI: 10.1002/2013WR014708

A review and evaluation of catchment transit time modeling
journal, November 2006

Water and solute transport along hydrological pathways: TRANSPORT ALONG HYDROLOGICAL PATHWAYS
journal, June 2012

  • Cvetkovic, Vladimir; Carstens, Christoffer; Selroos, Jan-Olof
  • Water Resources Research, Vol. 48, Issue 6
  • DOI: 10.1029/2011WR011367

Non-linear age-dependent population dynamics
journal, September 1974

  • Gurtin, Morton E.; Maccamy, Richard C.
  • Archive for Rational Mechanics and Analysis, Vol. 54, Issue 3
  • DOI: 10.1007/BF00250793

Dispersion of groundwater age in an alluvial aquifer system: DISPERSION OF GROUNDWATER AGE
journal, October 2002

  • Weissmann, Gary S.; Zhang, Y.; LaBolle, Eric M.
  • Water Resources Research, Vol. 38, Issue 10
  • DOI: 10.1029/2001WR000907

A note on the concepts of age distribution and transit time in natural reservoirs
journal, February 1973

Compartment Models and Reservoir Theory
journal, November 1971

Residence time distributions of variable flow processes
journal, October 1977

Dynamical modelling of concentration-age-discharge in watersheds
journal, May 2010

  • Duffy, Christopher J.
  • Hydrological Processes, Vol. 24, Issue 12
  • DOI: 10.1002/hyp.7691

Transport of kinetically sorbing solute by steady random velocity in heterogeneous porous formations
journal, April 1994