The fundamental equation of eddy covariance and its application in flux measurements

A fundamental equation of eddy covariance (FQEC) is derived that allows the net ecosystem exchange (NEE) N̅s of a specified atmospheric constituent s to be measured with the constraint of conservation of any other atmospheric constituent (e.g. N2, argon, or dry air). It is shown that if the condition │N̅s│ ˃˃ │X̅s│ │N̅co2│is true, the conservation of mass can be applied with the assumption of no net ecosystem source or sink of dry air and the FQEC is reduced to the following equation and its approximation for horizontally homogeneous mass fluxes: N̅s = c̅dw’X’s│h + ∫h0 c̅d(z) ∂Xs/∂t dz + ∫h0 [X̅s (z)- X̅s (h)] ∂̅c̅d̅/∂t dz = c̅d̅(h) {w̅’X̅’s│h + ∫h0 ∂Xs/∂t dz}. Here w is vertical velocity, c molar density, t time, h eddy flux measurement height, z vertical distance and Xs= cs/cd molar mixing ratio relative to dry air. Subscripts s, d and CO2 are for the specified constituent, dry air and carbon dioxide, respectively. Primes and overbars refer to turbulent fluctuations and time averages, respectively. This equation and its approximation are derived for non-steady state conditions that build on the steady-state theory of Webb, Pearman and Leuning (WPL; Webb et al., 1980. Quart. J. R. Meteorol. Soc. 106, 85–100), theory that is widely used to calculate the eddy fluxes of CO2 and other trace gases. The original WPL constraint of no vertical flux of dry air across the EC measurement plane, which is valid only for steady-state conditions, is replaced with the requirement of no net ecosystem source or sink of dry air for non-steady state conditions. This replacement does not affect the ‘eddy flux’ term c̅d̅w̅’X̅’s s but requires the change in storage to be calculated as the ‘effective change in storage’ as follows: ∫h0 ∂̅c̅s̅/ ∂̅t̅ dz – X̅s(h) ∫h0 ∂̅c̅d̅/∂t dz = ∫h0 c̅d̅ (z) - ∂Xs/∂t dz + ∫h0 [X̅s (z)- X̅s (h)] ∂̅c̅d̅/∂t dz= c̅d (h) ∫h0 ∂Xs/∂t dz. Without doing so, significant diurnal and seasonal biases may occur. We demonstrate that the effective change in storage can be estimated accurately with a properly designed profile of mixing ratio measurements made at multiple heights. However further simplification by using a single measurement at the EC instrumentation height is shown to produce substantial biases. It is emphasized that an adequately designed profile system for measuring the effective change in storage in proper units is as important as the eddy flux term for determining NEE

The fundamental equation of eddy covariance and its application in flux measurements

A fundamental equation of eddy covariance (FQEC) is derived that allows the net ecosystem exchange (NEE) N̅s of a specified atmospheric constituent s to be measured with the constraint of conservation of any other atmospheric constituent (e.g. N2, argon, or dry air). It is shown that if the condition │N̅s│ ˃˃ │X̅s│ │N̅co2│is true, the conservation of mass can be applied with the assumption of no net ecosystem source or sink of dry air and the FQEC is reduced to the following equation and its approximation for horizontally homogeneous mass fluxes: N̅s = c̅dw’X’s│h + ∫h0 c̅d(z) ∂Xs/∂t dz + ∫h0 [X̅s (z)- X̅s (h)] ∂̅c̅d̅/∂t dz = c̅d̅(h) {w̅’X̅’s│h + ∫h0 ∂Xs/∂t dz}. Here w is vertical velocity, c molar density, t time, h eddy flux measurement height, z vertical distance and Xs= cs/cd molar mixing ratio relative to dry air. Subscripts s, d and CO2 are for the specified constituent, dry air and carbon dioxide, respectively. Primes and overbars refer to turbulent fluctuations and time averages, respectively. This equation and its approximation are derived for non-steady state conditions that build on the steady-state theory of Webb, Pearman and Leuning (WPL; Webb et al., 1980. Quart. J. R. Meteorol. Soc. 106, 85–100), theory that is widely used to calculate the eddy fluxes of CO2 and other trace gases. The original WPL constraint of no vertical flux of dry air across the EC measurement plane, which is valid only for steady-state conditions, is replaced with the requirement of no net ecosystem source or sink of dry air for non-steady state conditions. This replacement does not affect the ‘eddy flux’ term c̅d̅w̅’X̅’s s but requires the change in storage to be calculated as the ‘effective change in storage’ as follows: ∫h0 ∂̅c̅s̅/ ∂̅t̅ dz – X̅s(h) ∫h0 ∂̅c̅d̅/∂t dz = ∫h0 c̅d̅ (z) - ∂Xs/∂t dz + ∫h0 [X̅s (z)- X̅s (h)] ∂̅c̅d̅/∂t dz= c̅d (h) ∫h0 ∂Xs/∂t dz. Without doing so, significant diurnal and seasonal biases may occur. We demonstrate that the effective change in storage can be estimated accurately with a properly designed profile of mixing ratio measurements made at multiple heights. However further simplification by using a single measurement at the EC instrumentation height is shown to produce substantial biases. It is emphasized that an adequately designed profile system for measuring the effective change in storage in proper units is as important as the eddy flux term for determining NEE

Hybrid energy module for remote environmental observations, experiments, and communications

Increased concerns about climate change have led to a significant expansion of monitoring, observational, and experimental sites in remote areas of the world. Meanwhile, advances in technology and availability of low-power equipment have allowed increasingly sophisticated measurements with a wide variety of instruments. However, the deployment and use of these technologies in remote locations is often restricted not only by harsh environmental conditions, but also by the availability of electrical power and communication options. In some cases, research stations and military installations can provide power for scientific equipment, data acquisition, storage, and transmission. Clustering of research sites near existing infrastructure has had the unintended consequence of limiting a spatial understanding of large geographic regions. Fortunately, the modern market offers many power and communication solutions, but most of them are oriented toward large industrial applications. Use of those solutions to power a research site is limited because of their cost and need for significant modification for the specific research purposes. Each study has its own unique power requirements and needs for proper instrumentation. A power and communication solution for a vast majority of implementations with or without modification would be of considerable benefit. This article describes design of a universal, scalable hybrid energy module for the Next-Generation Ecosystem Experiments Arctic project (https://ngee-arctic.ornl.gov/). Two modules were built, and the authors describe their implementation and findings over a 2-year period at a remote field site on the Seward Peninsula in western Alaska, USA

Ensemble coding of faces occurs in children and develops dissociably from coding of individual face identities

Ensemble coding allows adults to access useful information about average properties of groups, sometimes even in the absence of detailed representations of individual group members. This form of coding may emerge early in development with initial reports of ensemble coding for simple properties (size, numerosity) in young children and even infants. Here we demonstrate that ensemble coding of faces, which provides information about average properties of social groups, is already present in 6-8 year old children. This access to average information increases with age from 6 to 18 years and its development is dissociable from age-related improvements in the coding of individual face identities. This dissociation provides the first direct evidence that distinct processes underlie ensemble and individual coding of face identity, evidence that has been lacking from adult studies. More generally, our results add to the emerging evidence for impressively mature sensitivity to statistical properties of the visual environment in children. They indicate that children have access to gist information about social groups that may facilitate adaptive social behaviour

Metric development for the multicenter improving pediatric sepsis outcomes (IPSO) collaborative

BACKGROUND: A 56 US hospital collaborative, Improving Pediatric Sepsis Outcomes, has developed variables, metrics and a data analysis plan to track quality improvement (QI)-based patient outcomes over time. Improving Pediatric Sepsis Outcomes expands on previous pediatric sepsis QI efforts by improving electronic data capture and uniformity across sites. METHODS: An expert panel developed metrics and corresponding variables to assess improvements across the care delivery spectrum, including the emergency department, acute care units, hematology and oncology, and the ICU. Outcome, process, and balancing measures were represented. Variables and statistical process control charts were mapped to each metric, elucidating progress over time and informing plan-do-study-act cycles. Electronic health record (EHR) abstraction feasibility was prioritized. Time 0 was defined as time of earliest sepsis recognition (determined electronically), or as a clinically derived time 0 (manually abstracted), identifying earliest physiologic onset of sepsis. RESULTS: Twenty-four evidence-based metrics reflected timely and appropriate interventions for a uniformly defined sepsis cohort. Metrics mapped to statistical process control charts with 44 final variables; 40 could be abstracted automatically from multiple EHRs. Variables, including high-risk conditions and bedside huddle time, were challenging to abstract (reported in CONCLUSIONS: A comprehensive data dictionary was developed for the largest pediatric sepsis QI collaborative, optimizing automation and ensuring sustainable reporting. These approaches can be used in other large-scale sepsis QI projects in which researchers seek to leverage EHR data abstraction

Development of a quality improvement learning collaborative to improve pediatric sepsis outcomes

Pediatric sepsis is a major public health problem. Published treatment guidelines and several initiatives have increased adherence with guideline recommendations and have improved patient outcomes, but the gains are modest, and persistent gaps remain. The Children\u27s Hospital Association Improving Pediatric Sepsis Outcomes (IPSO) collaborative seeks to improve sepsis outcomes in pediatric emergency departments, ICUs, general care units, and hematology/oncology units. We developed a multicenter quality improvement learning collaborative of US children\u27s hospitals. We reviewed treatment guidelines and literature through 2 in-person meetings and multiple conference calls. We defined and analyzed baseline sepsis-attributable mortality and hospital-onset sepsis and developed a key driver diagram (KDD) on the basis of treatment guidelines, available evidence, and expert opinion. Fifty-six hospital-based teams are participating in IPSO; 100% of teams are engaged in educational and information-sharing activities. A baseline, sepsis-attributable mortality of 3.1% was determined, and the incidence of hospital-onset sepsis was 1.3 cases per 1000 hospital admissions. A KDD was developed with the aim of reducing both the sepsis-attributable mortality and the incidence of hospital-onset sepsis in children by 25% from baseline by December 2020. To accomplish these aims, the KDD primary drivers focus on improving the following: treatment of infection; recognition, diagnosis, and treatment of sepsis; de-escalation of unnecessary care; engagement of patients and families; and methods to optimize performance. IPSO aims to improve sepsis outcomes through collaborative learning and reliable implementation of evidence-based interventions