How driving rates determine the statistics of driven non-equilibrium systems with stationary distributions

Sample space reducing (SSR) processes offer a simple analytical way to understand the origin and ubiquity of power-laws in many path-dependent complex systems. SRR processes show a wide range of applications that range from fragmentation processes, language formation to search and cascading processes. Here we argue that they also offer a natural framework to understand stationary distributions of generic driven non-equilibrium systems that are composed of a driving- and a relaxing process. We show that the statistics of driven non-equilibrium systems can be derived from the understanding of the nature of the underlying driving process. For constant driving rates exact power-laws emerge with exponents that are related to the driving rate. If driving rates become state-dependent, or if they vary across the life-span of the process, the functional form of the state-dependence determines the statistics. Constant driving rates lead to exact power-laws, a linear state-dependence function yields exponential or Gamma distributions, a quadratic function produces the normal distribution. Logarithmic and power-law state dependence leads to log-normal and stretched exponential distribution functions, respectively. Also Weibull, Gompertz and Tsallis-Pareto distributions arise naturally from simple state-dependent driving rates. We discuss a simple physical example of consecutive elastic collisions that exactly represents a SSR process

Switcher-random-walks: a cognitive-inspired mechanism for network exploration

Semantic memory is the subsystem of human memory that stores knowledge of concepts or meanings, as opposed to life specific experiences. The organization of concepts within semantic memory can be understood as a semantic network, where the concepts (nodes) are associated (linked) to others depending on perceptions, similarities, etc. Lexical access is the complementary part of this system and allows the retrieval of such organized knowledge. While conceptual information is stored under certain underlying organization (and thus gives rise to a specific topology), it is crucial to have an accurate access to any of the information units, e.g. the concepts, for efficiently retrieving semantic information for real-time needings. An example of an information retrieval process occurs in verbal fluency tasks, and it is known to involve two different mechanisms: -clustering-, or generating words within a subcategory, and, when a subcategory is exhausted, -switching- to a new subcategory. We extended this approach to random-walking on a network (clustering) in combination to jumping (switching) to any node with certain probability and derived its analytical expression based on Markov chains. Results show that this dual mechanism contributes to optimize the exploration of different network models in terms of the mean first passage time. Additionally, this cognitive inspired dual mechanism opens a new framework to better understand and evaluate exploration, propagation and transport phenomena in other complex systems where switching-like phenomena are feasible.Comment: 9 pages, 3 figures. Accepted in "International Journal of Bifurcations and Chaos": Special issue on "Modelling and Computation on Complex Networks

Analysis of the uncertainty in the monetary valuation of ecosystem services - a case study at the river basin scale

Ecosystem services provide multiple benefits to human wellbeing and are increasingly considered by 18 policy-makers in environmental management. However, the uncertainty related with the monetary 19 valuation of these benefits is not yet adequately defined or integrated by policy-makers. Given this 20 background, our aim was to quantify different sources of uncertainty when performing monetary 21 valuation of ecosystem services, in order to provide a series of guidelines to reduce them. With an 22 example of 4 ecosystem services (i.e., water provisioning, waste treatment, erosion protection, and 23 habitat for species) provided at the river basin scale, we quantified the uncertainty associated with 24 the following sources: (1) the number of services considered, (2) the number of benefits considered 25 for each service, (3) the valuation metrics (i.e. valuation methods) used to value benefits, and (4) the 26 uncertainty of the parameters included in the valuation metrics. Results indicate that the highest 27 uncertainty was caused by the number of services considered, as well as by the number of benefits 28 considered for each service, whereas the parametric uncertainty was similar to the one related to the 29 selection of valuation metric, thus suggesting that the parametric uncertainty, which is the only 30 uncertainty type commonly considered, was less critical than the structural uncertainty, which is in 31 turn mainly dependent on the decision-making context. Given the uncertainty associated to the 32 valuation structure, special attention should be given to the selection of services, benefits and 33 metrics according to a given context

Robustness of the European power grids under intentional attack

The power grid defines one of the most important technological networks of our times and sustains our complex society. It has evolved for more than a century into an extremely huge and seemingly robust and well understood system. But it becomes extremely fragile as well, when unexpected, usually minimal, failures turn into unknown dynamical behaviours leading, for example, to sudden and massive blackouts. Here we explore the fragility of the European power grid under the effect of selective node removal. A mean field analysis of fragility against attacks is presented together with the observed patterns. Deviations from the theoretical conditions for network percolation (and fragmentation) under attacks are analysed and correlated with non topological reliability measures.Comment: 7 pages, 4 figure

Systematic calibration of N2O emissions from a full-scale WWTP including a tracer test and a global sensitivity approach

Altres ajuts: Acord transformatiu CRUE-CSICBorja Solís is grateful for the PIF PhD grant funded by Universitat Autònoma de Barcelona.Nitrous oxide (NO) is a greenhouse gas (GHG) emitted during biological nitrogen removal from wastewater treatment plants (WWTPs). Some modelling tools have been proposed to predict NO emissions during the design and operation of WWTPs. In this study, the novel ASM2d-NO model, which accounts for the production of NO in nutrient removal WWTPs, was used to study the associated emissions from a full-scale WWTP with two independent lines. Firstly, the hydraulics of the WWTP was characterized by a residence time distribution test, showing the flow was equally divided into the two treatment lines (49.3 vs. 50.7%), that each reactor worked as an ideal continuous stirred tank reactor and the secondary settler model flux was similar to a plug-flow reactor. The ASM2d-NO model was then calibrated using experimental data obtained under dynamic conditions. A global sensitivity analysis was used to select, among 59 model parameters, five candidates that resulted to be related to nitrifying organisms. Different parameter subsets up to four parameters were evaluated, being the subset [µ, q, K, K] the best, achieving 53.3% reduction of the calibration cost function. The model fit obtained provided a reasonably description of nutrients and NO emission trends, considering the inherent operational variability suffered in full-scale WWTPs. Finally, a simulation-based study showed that, for the given WWTP and operational conditions, an unbalanced distribution of flow-rate between the two treatment lines did not result in a significant increase on NO emissions. The results obtained show that this model can be a suitable tool for predicting NO emissions in full-scale WWTPs, and can therefore be used to find operational conditions that help to minimise these emissions

Resilience theory incorporated into urban wastewater systems management. State of the art

This is the final version of the article. Available from Elsevier via the DOI in this record.Government bodies, utilities, practitioners, and researchers have growing interest in the incorporation of resilience into wastewater management. Since resilience is a multidisciplinary term, it is important to review what has been achieved in the wastewater sector, and describe the future research directions for the forthcoming years. This work presents a critical review of studies that deal with resilience in the wastewater treatment sector, with a special focus on understanding how they addressed the key elements for assessing resilience, such as stressors, system properties, metrics and interventions to increase resilience. The results showed that only 17 peer-reviewed papers and 6 relevant reports, a small subset of the work in wastewater research, directly addressed resilience. The lack of consensus in the definition of resilience, and the elements of a resilience assessment, is hindering the implementation of resilience in wastewater management. To date, no framework for resilience assessment is complete, comprehensive or directly applicable to practitioners; current examples are lacking key elements (e.g. a comprehensive study of stressors, properties and metrics, examples of cases study, ability to benchmark interventions or connectivity with broader frameworks). Furthermore, resilience is seen as an additional cost or extra effort, instead of a means to overcome project uncertainty that could unlock new opportunities for investment.The authors thank the consultancy team in Water Research, Strategic Advisory Services Research in Atkins UK, and Corinne Trommsdorff from IWA, for their constructive comments and support. Their contribution is highly appreciated. This work has been supported by the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 642904 - TreatRec ITN-EID project, and by the Ministry of Economy and competitiveness for the Ramon and Cajal grant from Lluís Corominas (RYC-2013-14595) and for the REaCH project (CTM2015-66892-R, MINECO/FEDER, EU). LEQUIA and ICRA were recognized as consolidated research groups by the Catalan Government with codes 2014-SGR-1168 and 2014-SGR-291, respectively. The second and fifth authors acknowledge support from the UK Engineering & Physical Sciences Research Council grant EP/K006924/1