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- Amilcare Porporato, Edoardo Daly, Ignacio Rodriguez-Iturbe
- The American naturalist
- 2004

Some essential features of the terrestrial hydrologic cycle and ecosystem response are singled out by confronting empirical observations of the soil water balance of different ecosystems with the results of a stochastic model of soil moisture dynamics. The simplified framework analytically describes how hydroclimatic variability (especially the frequency… (More)

- E. Daly, A. Porporato
- 2006

[1] We analyze the propagation of daily fluctuations in rainfall and potential evapotranspiration to soil moisture dynamics, using a stochastic model that accounts for these two different forms of hydroclimatic variability. The pulsing, intermittent behavior of daily precipitation is described by a compound Poisson process that models the unpredictability… (More)

- Edoardo Daly, Amilcare Porporato
- Physical review. E, Statistical, nonlinear, and…
- 2004

Similarity solutions of the shallow-water equation with a generalized resistance term are studied for open channel flows when both inertial and gravity forces are negligible. The resulting model encompasses various particular cases that appear, in addition to mathematical hydraulics, in diverse physical phenomena, such as gravity currents, creeping flows of… (More)

- Edoardo Daly, Amilcare Porporato
- Physical review. E, Statistical, nonlinear, and…
- 2006

Some exact solutions to the forward Chapman-Kolmogorov equation are derived for processes driven by both Gaussian and compound Poisson (shot) noise. The combined action of these two forms of white noise is analyzed in transient and equilibrium conditions for different jump distributions and additive Gaussian noise. Steady-state distributions with power-law… (More)

- Edoardo Daly, Amilcare Porporato
- Physical review. E, Statistical, nonlinear, and…
- 2007

A method to obtain the probability distribution of the interarrival times of jump occurrences in systems driven by state-dependent Poisson noise is proposed. Such a method uses the survivor function obtained by a modified version of the master equation associated to the stochastic process under analysis. A model for the timing of human activities shows the… (More)

- Edoardo Daly, Amilcare Porporato
- Physical review. E, Statistical, nonlinear, and…
- 2010

The paper investigates stochastic processes forced by independent and identically distributed jumps occurring according to a Poisson process. The impact of different distributions of the jump amplitudes are analyzed for processes with linear drift. Exact expressions of the probability density functions are derived when jump amplitudes are distributed as… (More)

- Md Imran Kabir, Edoardo Daly, Federico Maggi
- The Science of the total environment
- 2014

In urban environments, the breakdown of chemicals and pollutants, especially ions and metal compounds, can be favoured by green water infrastructures (GWIs). The overall aim of this review is to set the basis to model GWIs using deterministic approaches in contrast to empirical ones. If a better picture of chemicals and pollutant input and an improved… (More)

- Edoardo Daly, Amilcare Porporato
- Physical review. E, Statistical, nonlinear, and…
- 2006

We introduce a general class of stochastic processes forced by instantaneous random fires (i.e., jumps) that reset the state variable x to a given value. Since in many physical systems the fire activity is often dependent on the actual value of the state variable, as in the case of natural fires in ecosystems and firing dynamics in neuronal activity, the… (More)

- A Porporato, J R Rigby, E Daly
- Physical review letters
- 2007

The relative entropy between the joint probability distribution of backward and forward sequences is used to quantify time asymmetry (or irreversibility) for stationary time series. The parallel with the thermodynamic theory of nonequilibrium steady states allows us to link the degree of asymmetry in the time signal with the distance from equilibrium and… (More)

- Samantha P P Grover, Amanda Cohan, Hon Sen Chan, Stephen J Livesley, Jason Beringer, Edoardo Daly
- The Science of the total environment
- 2013

Designed, green infrastructures are becoming a customary feature of the urban landscape. Sustainable technologies for stormwater management, and biofilters in particular, are increasingly used to reduce stormwater runoff volumes and peaks as well as improve the water quality of runoff discharged into urban water bodies. Although a lot of research has been… (More)