Breakdown of hydrostatic balance at convective scales in the forecast errors in the Met Office Unified Model

For data assimilation in numerical weather prediction, the initial forecast-error covariance matrix Pf is required. For variational assimilation it is particularly important to prescribe an accurate initial matrix Pf, since Pf is either static (in the 3D-Var case) or constant at the beginning of each assimilation window (in the 4D-Var case). At large scales the atmospheric flow is well approximated by hydrostatic balance and this balance is strongly enforced in the initial matrix Pf used in operational variational assimilation systems such as that of the Met Office. However, at convective scales this balance does not necessarily hold any more. Here we examine the extent to which hydrostatic balance is valid in the vertical forecast-error covariances for high-resolution models in order to determine whether there is a need to relax this balance constraint in convective-scale data assimilation. We use the Met Office Global and Regional Ensemble Prediction System (MOGREPS) and a 1.5 km resolution version of the Unified Model for a case study characterized by the presence of convective activity. An ensemble of high-resolution forecasts valid up to three hours after the onset of convection is produced. We show that at 1.5 km resolution hydrostatic balance does not hold for forecast errors in regions of convection. This indicates that in the presence of convection hydrostatic balance should not be enforced in the covariance matrix used for variational data assimilation at this scale. The results show the need to investigate covariance models that may be better suited for convective-scale data assimilation. Finally, we give a measure of the balance present in the forecast perturbations as a function of the horizontal scale (from 3–90 km) using a set of diagnostics. Copyright © 2012 Royal Meteorological Society and British Crown Copyright, the Met Office

Integration of a 3D Variational data assimilation scheme with a coastal area morphodynamic model of Morecambe Bay

This paper describes the implementation of a 3D variational (3D-Var) data assimilation scheme for a morphodynamic model applied to Morecambe Bay, UK. A simple decoupled hydrodynamic and sediment transport model is combined with a data assimilation scheme to investigate the ability of such methods to improve the accuracy of the predicted bathymetry. The inverse forecast error covariance matrix is modelled using a Laplacian approximation which is calibrated for the length scale parameter required. Calibration is also performed for the Soulsby-van Rijn sediment transport equations. The data used for assimilation purposes comprises waterlines derived from SAR imagery covering the entire period of the model run, and swath bathymetry data collected by a ship-borne survey for one date towards the end of the model run. A LiDAR survey of the entire bay carried out in November 2005 is used for validation purposes. The comparison of the predictive ability of the model alone with the model-forecast-assimilation system demonstrates that using data assimilation significantly improves the forecast skill. An investigation of the assimilation of the swath bathymetry as well as the waterlines demonstrates that the overall improvement is initially large, but decreases over time as the bathymetry evolves away from that observed by the survey. The result of combining the calibration runs into a pseudo-ensemble provides a higher skill score than for a single optimized model run. A brief comparison of the Optimal Interpolation assimilation method with the 3D-Var method shows that the two schemes give similar results.

Legal outlier, again? U.S. felon suffrage: comparative and international human rights perspectives

The judiciousness of American felon suffrage policies has long been the subject of scholarly debate, not least due to the large number of affected Americans: an estimated 5.3 million citizens are ineligible to vote as a result of a criminal conviction. This article offers comparative law and international human rights perspectives and aims to make two main contributions to the American and global discourse. After an introduction in Part I, Part II offers comparative law perspectives on challenges to disenfranchisement legislation, juxtaposing U.S. case law against recent judgments rendered by courts in Canada, South Africa, Australia, and by the European Court of Human Rights. The article submits that owing to its unique constitutional stipulations, as well as to a general reluctance to engage foreign legal sources, U.S. jurisprudence lags behind an emerging global jurisprudential trend that increasingly views convicts’ disenfranchisement as a suspect practice and subjects it to judicial review. This transnational judicial discourse follows a democratic paradigm and adopts a “residual liberty” approach to criminal justice that considers convicts to be rights-holders. The discourse rejects regulatory justifications for convicts’ disenfranchisement, and instead sees disenfranchisement as a penal measure. In order to determine its suitability as a punishment, the adverse effects of disenfranchisement are weighed against its purported social benefits, using balancing or proportionality review. Part III analyzes the international human rights treaty regime. It assesses, in particular, Article 25 of the International Covenant on Civil and Political Rights (“ICCPR”), which proclaims that “every citizen” has a right to vote without “unreasonable restrictions.” The analysis concludes that the phrase “unreasonable restrictions” is generally interpreted in a manner which tolerates certain forms of disenfranchisement, whereas other forms (such as life disenfranchisement) may be incompatible with treaty obligations. This article submits that disenfranchisement is a normatively flawed punishment. It fails to treat convicts as politically-equal community members, degrades them, and causes them grave harms both as individuals and as members of social groups. These adverse effects outweigh the purported social benefits of disenfranchisement. Furthermore, as a core component of the right to vote, voter eligibility should cease to be subjected to balancing or proportionality review. The presumed facilitative nature of the right to vote makes suffrage less susceptible to deference-based objections regarding the judicial review of legislation, as well as to cultural relativity objections to further the international standardization of human rights obligations. In view of this, this article proposes the adoption of a new optional protocol to the ICCPR proscribing convicts’ disenfranchisement. The article draws analogies between the proposed protocol and the ICCPR’s “Optional Protocol Aiming at the Abolition of the Death Penalty.” If adopted, the proposed protocol would strengthen the current trajectory towards expanding convicts’ suffrage that emanates from the invigorated transnational judicial discourse.

Do soldiers' lives matter? A view from proportionality

A military operation is about to take place during an ongoing international armed conflict; it can be carried out either by aerial attack, which is expected to cause the deaths of enemy civilians, or by using ground troops, which is expected to cause the deaths of fewer enemy civilians but is expected to result in more deaths of compatriot soldiers. Does the principle of proportionality in international humanitarian law impose a duty on an attacker to expose its soldiers to life-threatening risks in order to minimise or avert risks of incidental damage to enemy civilians? If such a duty exists, is it absolute or qualified? And if it is a qualified duty, what considerations may be taken into account in determining its character and scope? This article presents an analytic framework under the current international humanitarian law (IHL) legal structure, following a proportionality analysis. The proposed framework identifies five main positions for addressing the above queries. The five positions are arranged along two ‘axes’: a value ‘axis’, which identifies the value assigned to the lives of compatriot soldiers in relation to lives of enemy civilians; and a justification ‘axis’, which outlines the justificatory bases for assigning certain values to lives of compatriot soldiers and enemy civilians: intrinsic, instrumental or a combination thereof. The article critically assesses these positions, and favours a position which attributes a value to compatriot soldiers’ lives, premised on a justificatory basis which marries intrinsic considerations with circumscribed instrumental considerations, avoiding the indeterminacy and normative questionability entailed by more expansive instrumental considerations.

Protecting recognized Geneva Convention refugees outside their states of asylum

This article highlights the predicament of persons recognized as refugees according to the Convention Relating to the Status of Refugees (CSR1951 refugees) when they travel outside their state of asylum. Their status entails ipso facto that, if they are ill-treated abroad, they cannot turn to representatives of their state of nationality and request its diplomatic protection, nor can they expect to receive its consular assistance. It is submitted that a state of asylum ought to extend the scope of protection that it offers CSR1951 refugees residing in its territory, and provide them diplomatic protection and consular assistance when they travel abroad as if they were its nationals. Four claims are advanced in support of this contention: First: the advent of human rights treaties has not rendered obsolete the protection of nationals abroad nor has the practice fallen into disuse. On the contrary, protection abroad retains its pedigree and significance, as is illustrated by the recently adopted International Law Commission's Draft Articles on Diplomatic Protection and by frequent resort to consular assistance. Second: while states previously enjoyed unfettered discretion concerning whether and when to protect their nationals abroad, recent developments in domestic jurisdictions as well as in European Union (EU) treaties point to the potential emergence of a qualified duty to exercise state protection or to be willing to provide justifications for its refusal. These developments call particular attention to the vulnerability of CSR1951 refugees: the professed aim of the EU treaty regime is that EU citizens should enjoy effective state protection wherever they travel; by contrast, CSR1951 refugees are in need of state protection wherever they travel. Third: according to CSR1951, states of asylum are required to issue Convention Travel Documents (CTDs) to recognized refugees lawfully staying in their territory. While CTDs do not in of themselves authorize states of asylum to provide protection abroad to their CSR1951 refugees, they reflect partial recognition of the instrumental role of these states in facilitating safe refugee travel. Fourth: while the 'nationality of claims' requirement remains pivotal to the institution of diplomatic protection, and efforts to effectuate its general relaxation have thus far failed, the International Law Commission (ILC) has 'carved out' an exception authorizing states of asylum to provide protection abroad to their recognized refugees. The ILC's protection-enhancing agenda, reflecting progressive development of the law, is laudable, even though it has opted for a rather cautious approach.

Resolution of sharp fronts in the presence of model error in variational data assimilation

We show that the four-dimensional variational data assimilation method (4DVar) can be interpreted as a form of Tikhonov regularization, a very familiar method for solving ill-posed inverse problems. It is known from image restoration problems that L1-norm penalty regularization recovers sharp edges in the image more accurately than Tikhonov, or L2-norm, penalty regularization. We apply this idea from stationary inverse problems to 4DVar, a dynamical inverse problem, and give examples for an L1-norm penalty approach and a mixed total variation (TV) L1–L2-norm penalty approach. For problems with model error where sharp fronts are present and the background and observation error covariances are known, the mixed TV L1–L2-norm penalty performs better than either the L1-norm method or the strong constraint 4DVar (L2-norm)method. A strength of the mixed TV L1–L2-norm regularization is that in the case where a simplified form of the background error covariance matrix is used it produces a much more accurate analysis than 4DVar. The method thus has the potential in numerical weather prediction to overcome operational problems with poorly tuned background error covariance matrices.

Climate-related changes in peatland carbon accumulation during the last millennium.

Peatlands are a major terrestrial carbon store and a persistent natural carbon sink during the Holocene, but there is considerable uncertainty over the fate of peatland carbon in a changing climate. It is generally assumed that higher temperatures will increase peat decay, causing a positive feedback to climate warming and contributing to the global positive carbon cycle feedback. Here we use a new extensive database of peat profiles across northern high latitudes to examine spatial and temporal patterns of carbon accumulation over the past millennium. Opposite to expectations, our results indicate a small negative carbon cycle feedback from past changes in the long-term accumulation rates of northern peatlands. Total carbon accumulated over the last 1000 yr is linearly related to contemporary growing season length and photosynthetically active radiation, suggesting that variability in net primary productivity is more important than decomposition in determining long-term carbon accumulation. Furthermore, northern peatland carbon sequestration rate declined over the climate transition from the Medieval Climate Anomaly (MCA) to the Little Ice Age (LIA), probably because of lower LIA temperatures combined with increased cloudiness suppressing net primary productivity. Other factors including changing moisture status, peatland distribution, fire, nitrogen deposition, permafrost thaw and methane emissions will also influence future peatland carbon cycle feedbacks, but our data suggest that the carbon sequestration rate could increase over many areas of northern peatlands in a warmer future.

Data assimilation with correlated observation errors: experiments with a 1-D shallow water model

Remote sensing observations often have correlated errors, but the correlations are typically ignored in data assimilation for numerical weather prediction. The assumption of zero correlations is often used with data thinning methods, resulting in a loss of information. As operational centres move towards higher-resolution forecasting, there is a requirement to retain data providing detail on appropriate scales. Thus an alternative approach to dealing with observation error correlations is needed. In this article, we consider several approaches to approximating observation error correlation matrices: diagonal approximations, eigendecomposition approximations and Markov matrices. These approximations are applied in incremental variational assimilation experiments with a 1-D shallow water model using synthetic observations. Our experiments quantify analysis accuracy in comparison with a reference or ‘truth’ trajectory, as well as with analyses using the ‘true’ observation error covariance matrix. We show that it is often better to include an approximate correlation structure in the observation error covariance matrix than to incorrectly assume error independence. Furthermore, by choosing a suitable matrix approximation, it is feasible and computationally cheap to include error correlation structure in a variational data assimilation algorithm.