Non-exponential return time distributions for vorticity extremes explained by fractional Poisson processes

Serial correlation of extreme midlatitude cyclones observed at the storm track exits is explained by deviations from a Poisson process. To model these deviations, we apply fractional Poisson processes (FPPs) to extreme midlatitude cyclones, which are defined by the 850 hPa relative vorticity of the ERA interim reanalysis during boreal winter (DJF) and summer (JJA) seasons. Extremes are defined by a 99% quantile threshold in the grid-point time series. In general, FPPs are based on long-term memory and lead to non-exponential return time distributions. The return times are described by a Weibull distribution to approximate the Mittag–Leffler function in the FPPs. The Weibull shape parameter yields a dispersion parameter that agrees with results found for midlatitude cyclones. The memory of the FPP, which is determined by detrended fluctuation analysis, provides an independent estimate for the shape parameter. Thus, the analysis exhibits a concise framework of the deviation from Poisson statistics (by a dispersion parameter), non-exponential return times and memory (correlation) on the basis of a single parameter. The results have potential implications for the predictability of extreme cyclones.

Computational mechanics of molecular systems:quantifying high-dimensional dynamics by distribution of Poincaré recurrence times

A framework that connects computational mechanics and molecular dynamics has been developed and described. As the key parts of the framework, the problem of symbolising molecular trajectory and the associated interrelation between microscopic phase space variables and macroscopic observables of the molecular system are considered. Following Shalizi and Moore, it is shown that causal states, the constituent parts of the main construct of computational mechanics, the e-machine, define areas of the phase space that are optimal in the sense of transferring information from the micro-variables to the macro-observables. We have demonstrated that, based on the decay of their Poincare´ return times, these areas can be divided into two classes that characterise the separation of the phase space into resonant and chaotic areas. The first class is characterised by predominantly short time returns, typical to quasi-periodic or periodic trajectories. This class includes a countable number of areas corresponding to resonances. The second class includes trajectories with chaotic behaviour characterised by the exponential decay of return times in accordance with the Poincare´ theorem.

Dynamical estimates of chaotic systems from Poincare recurrences

We show a function that fits well the probability density of return times between two consecutive visits of a chaotic trajectory to finite size regions in phase space. It deviates from the exponential statistics by a small power-law term, a term that represents the deterministic manifestation of the dynamics. We also show how one can quickly and easily estimate the Kolmogorov-Sinai entropy and the short-term correlation function by realizing observations of high probable returns. Our analyses are performed numerically in the Henon map and experimentally in a Chua's circuit. Finally, we discuss how our approach can be used to treat the data coming from experimental complex systems and for technological applications. (C) 2009 American Institute of Physics. [doi: 10.1063/1.3263943]

Hitting and returning to rare events for all alpha-mixing processes

We prove that for any a-mixing stationary process the hitting time of any n-string A(n) converges, when suitably normalized, to an exponential law. We identify the normalization constant lambda(A(n)). A similar statement holds also for the return time. To establish this result we prove two other results of independent interest. First, we show a relation between the rescaled hitting time and the rescaled return time, generalizing a theorem of Haydn, Lacroix and Vaienti. Second, we show that for positive entropy systems, the probability of observing any n-string in n consecutive observations goes to zero as n goes to infinity. (c) 2010 Elsevier B.V. All rights reserved.

Differential Gene Expression between Fall- and Spring-Run Chinook Salmon Assessed by Long Serial Analysis of Gene Expression

Of all Pacific salmonids, Chinook salmon Oncorhynchus tshawytscha display the greatest variability in return times to freshwater. The molecular mechanisms of these differential return times have not been well described. Current methods, such as long serial analysis of gene expression (LongSAGE) and microarrays, allow gene expression to be analyzed for thousands of genes simultaneously. To investigate whether differential gene expression is observed between fall- and spring-run Chinook salmon from California's Central Valley, LongSAGE libraries were constructed. Three libraries containing between 25,512 and 29,372 sequenced tags (21 base pairs/tag) were generated using messenger RNA from the brains of adult Chinook salmon returning in fall and spring and from one ocean-caught Chinook salmon. Tags were annotated to genes using complementary DNA libraries from Atlantic salmon Salmo salar and rainbow trout O. mykiss. Differentially expressed genes, as estimated by differences in the number of sequence tags, were found in all pairwise comparisons of libraries (freshwater versus saltwater = 40 genes; fall versus spring = 11 genes: and spawning versus nonspawning = 51 genes). The gene for ependymin, an extracellular glycoprotein involved in behavioral plasticity in fish, exhibited the most differential expression among the three groupings. Reverse transcription polymerase chain reaction analysis verified the differential expression of ependymin between the fall- and spring-run samples. These LongSAGE libraries, the first reported for Chinook salmon, provide a window of the transcriptional changes during Chinook salmon return migration to freshwater and spawning and increase the amount of expressed sequence data.

Flight initiation distances of nesting Piping Plovers (Charadrius melodus) in response to human disturbance

Birds frequently interact with people when they occur in coupled human-ecological or anthropogenic environments, which makes the protection of legally protected species a challenge. Flight initiation distances (FIDs) are often used to inform development of appropriate buffer distances required for human exclusion zones used to protect birds nesting in anthropogenic landscapes. Piping Plovers (Charadrius melodus) are protected by the Endangered Species Act in the United States and often nest in areas used by humans. Studies evaluating Piping Plover FIDs are limited and implementation of exclusion zones has been inconsistent across the species’ range. We measured Piping Plover response and FIDs to naturally occurring stimuli on public beaches at Lake McConaughy, Nebraska, USA. Piping Plover FIDs differed most by stimulus class (vehicle, human, dog, human with dog), Julian day, and hour of day. Piping Plover FIDs were greatest for dog and human with dog compared to humans and vehicles. For all types of stimuli, Piping Plover FIDs decreased over time during the nesting season and increased slightly during each day. In the majority of instances in which Piping Plovers left their nests, return times to the nest were relatively short (less than three minutes). These results suggest Piping Plovers become habituated to the presence of human-related stimuli over the course of a nesting season, but other explanations such as parental investment and risk allocation cannot be excluded. Additional research and improved guidance regarding the implementation of exclusion zones is needed so managers can implement effective protection programs in anthropogenic landscapes.

Disturbance frequency and community structure in a twenty-five year intervention study

Models of community regulation commonly incorporate gradients of disturbance inversely related to the role of biotic interactions in regulating intermediate trophic levels. Higher trophic-level organisms are predicted to be more strongly limited by intermediate levels of disturbance than are the organisms they consume. We used a manipulation of the frequency of hydrological disturbance in an intervention analysis to examine its effects on small-fish communities in the Everglades, USA. From 1978 to 2002, we monitored fishes at one long-hydroperiod (average 350 days) and at one short-hydroperiod (average 259 days; monitoring started here in 1985) site. At a third site, managers intervened in 1985 to diminish the frequency and duration of marsh drying. By the late 1990s, the successional dynamics of density and relative abundance at the intervention site converged on those of the long-hydroperiod site. Community change was manifested over 3 to 5 years following a dry-down if a site remained inundated; the number of days since the most recent drying event and length of the preceding dry period were useful for predicting population dynamics. Community dissimilarity was positively correlated with the time since last dry. Community dynamics resulted from change in the relative abundance of three groups of species linked by life-history responses to drought. Drought frequency and intensity covaried in response to hydrological manipulation at the landscape scale; community-level successional dynamics converged on a relatively small range of species compositions when drought return-time extended beyond 4 years. The density of small fishes increased with diminution of drought frequency, consistent with disturbance-limited community structure; less-frequent drying than experienced in this study (i.e., longer return times) yields predator-dominated regulation of small-fish communities in some parts of the Everglades.

The return of increased blood pressure after discontinuation of antihypertensive treatment is associated with an impaired post-ischemic skin blood flow response.

OBJECTIVE: To assess the post-ischemic skin blood flow response after withdrawal of antihypertensive therapy in hypertensive patients with normal blood pressure during treatment. DESIGN AND METHODS: Twenty hypertensive patients (group A) with a normal clinic blood pressure (<140/ 90 mmHg) receiving antihypertensive treatment (any monotherapy; one pill per day for at least 6 months) had their treatment discontinued. Before medication withdrawal and 2, 4, 12 and 24 weeks thereafter, the following measurements were made: clinic blood pressure, home blood pressure (three times per week, morning and evening) and skin blood flow response to a 5 min forearm arterial occlusion (using laser Doppler flowmetry). The patients were asked to perform an ambulatory blood pressure recording at any time if home blood pressure was > or =160/95 mmHg on two consecutive days, and treatment was initiated again, after determination of the skin hyperemic response, if daytime ambulatory blood pressure was > or =140/90 mmHg. The same studies were performed in 20 additional hypertensive individuals in whom antihypertensive treatment was not withdrawn (group B). The allocation of patients to groups A and B was random. RESULTS: The data fom 18 patients in group A who adhered strictly to the procedure were available for analysis. Seven of them had to start treatment again within the first 4 weeks of follow-up; four additional patients started treatment again during the next 8 weeks (group A1). The seven other patients remained untreated (group A2). The skin hyperemic response decreased significantly in patients in group A1 and returned to baseline values at the end of the study, when there were again receiving antihypertensive treatment. In patients in group A2 a significant attenuation of the hyperemic response was also observed. This impaired response was present even at the end of the 6 month follow-up, at which time the patients were still untreated but exhibited a significantly greater blood pressure than before drug discontinuation. The hyperemic response of patients who did not stop treatment (group B) did not change during the course of the study. CONCLUSIONS: Our findings show a decrease in the postischemic skin blood flow response after withdrawal of antihypertensive treatment in hypertensive patients. This impaired response may be due to the development of endothelial dysfunction, vascular remodeling, or both, and might contribute to the return of blood pressure to hypertensive values after withdrawal of antihypertensive therapy.

Predictors of return to work after a knee injury in patients hospitalized in vocational rehabilitation

Introduction.- Knee injuries are frequent in a young and active population. Most of the patients resume their professional activity but few studies were interested in factors that predict a return to work. The aim of this study is to identify these predictors from a large panel of bio-psychosocial variables. We postulated that the return to work 3 months and 2 years after discharge is mostly predicted by psychosocial variables.Patients and methods.- Prospective study, patients hospitalized for a knee injury. Variables measured: the abbreviated injury score (AIS) for the gravity of the injuries, analog visual scale for the intensity of pain, INTERMED for the bio-psychosocial complexity, SF-36 for the quality of life, HADs for the anxiety/depression symptoms and IKDC score for the knee function. Univariate logistic regressions, adjusted for age and gender, were performed in order to predict return to work.Results.- One hundred and twenty-six patients hospitalized during 8 months after the accident were included into this prospective study. A total of 73 (58%) and 75 (59%) questionnaires were available after 3 months and 2 years, respectively. The SF-36 pain was the sole predictor of return to work at 3 months (odds Ratio 1.06 [1.02-1.10], P = 0.01; for a one point increase) and 2 years (odds Ratio 1.06 [1.02-1.10], P = 0.01). At three months, other factors are SF-36 (physic sub-scale), IKDC score, the presence of a work contract and the presence of litigation. The bio-psychosocial complexity, the presence of depressive symptoms predicts the return to work at two years.Discussion.- Our working hypothesis was partially confirmed: some psychosocial factors (i.e. depressive symptoms, work contract, litigation, INTERMED) predict the return to work but the physical health and the knee function, perceived by the patient, are also correlated. Pain is the sole factor isolated at both times (i.e. 3 months and 2 years) and, consequently, appears a key element in the prediction of the return to work. Some factors are accessible to the rehabilitation program but only if an interdisciplinary approach is performed.

Sovereign debt markets in turbulent times: Creditor discrimination and crowding-out effects

In 2007, countries in the Euro periphery were enjoying stable growth, low deficits, and lowspreads. Then the financial crisis erupted and pushed them into deep recessions, raising theirdeficits and debt levels. By 2010, they were facing severe debt problems. Spreads increased and,surprisingly, so did the share of the debt held by domestic creditors. Credit was reallocatedfrom the private to the public sectors, reducing investment and deepening the recessions evenfurther. To account for these facts, we propose a simple model of sovereign risk in which debtcan be traded in secondary markets. The model has two key ingredients: creditor discriminationand crowding-out effects. Creditor discrimination arises because, in turbulent times, sovereigndebt offers a higher expected return to domestic creditors than to foreign ones. This providesincentives for domestic purchases of debt. Crowding-out effects arise because private borrowingis limited by financial frictions. This implies that domestic debt purchases displace productiveinvestment. The model shows that these purchases reduce growth and welfare, and may lead toself-fulfilling crises. It also shows how crowding-out effects can be transmitted to other countriesin the Eurozone, and how they may be addressed by policies at the European level.

Extreme times in financial markets.

We apply the theory of continuous time random walks (CTRWs) to study some aspects involving extreme events in financial time series. We focus our attention on the mean exit time (MET). We derive a general equation for this average and compare it with empirical results coming from high-frequency data of the U.S. dollar and Deutsche mark futures market. The empirical MET follows a quadratic law in the return length interval which is consistent with the CTRW formalism.

Extreme times for volatility processes

Extreme times techniques, generally applied to nonequilibrium statistical mechanical processes, are also useful for a better understanding of financial markets. We present a detailed study on the mean first-passage time for the volatility of return time series. The empirical results extracted from daily data of major indices seem to follow the same law regardless of the kind of index thus suggesting an universal pattern. The empirical mean first-passage time to a certain level L is fairly different from that of the Wiener process showing a dissimilar behavior depending on whether L is higher or lower than the average volatility. All of this indicates a more complex dynamics in which a reverting force drives volatility toward its mean value. We thus present the mean first-passage time expressions of the most common stochastic volatility models whose approach is comparable to the random diffusion description. We discuss asymptotic approximations of these models and confront them to empirical results with a good agreement with the exponential Ornstein-Uhlenbeck model.

Abnormal Return of Dividend Announcements during a Boom and a Recession. Empirical evidence from the years of 2002 - 2002 and 2005 - 2007, including the Finnish extra dividends

Tutkimuksen tavoitteena on tutkia epänormaalien tuottojen esiintymistä nousu- ja laskusuhdanteen aikana osingonilmoituspäivän ympärillä. Osinkoilmoitukset ovat kerätty Yhdysvaltojen markkinalta (NYSE) ajanjaksoilta 2000 - 2002, jolloin pörssit laskivat teknokuplan jälkeen ja 2005 - 2007, jolloin sijoittajat kokivat suuria kurssivoittoja. Osinkoilmoitushavainnot koostuvat yhtiöistä, jotka nostivat tai pitivät osinko per osake paikallaan. Tavoitteena on tutkia eroja epänormaaleissa tuotoissa näiden kahden ajanjakson välillä. Toiseksi, tavoitteena on tutkia miten epänormaalit tuotot poikkeavat toisistaan eri osinkotuottoluokissa. Kolmanneksi, tavoitteena on tutkia esiintyikö markkinoilla epänormaaleja tuottoja kun suomalaiset yritykset ilmoittivat ylimääräisistä osingoista, pääasiassa vuonna 2004. Yksinkertaisesti ja lyhyesti sanottuna tavoitteena on tutkia arvostavatko sijoittajat osinkoja enemmän laskukauden vai nousukauden aikana. Rahoitusteorian mukaan sijoittajien tulisi arvostaa laskukauden aikana enemmän yhtiöitä, jotka pystyvät maksamaan huonosta taloustilanteesta huolimatta hyvää osinkoa. Empiiriset testit Yhdysvalloista osoittavat, että osingon nostamisesta johtuvat epänormaalit tuotot olivat suuremmat laskusuhdanteen aikana kuin noususuhdanteen aikana. Tämä on linjassa teorian kanssa. Osingon-nostot aiheuttivat nousukauden aikana vähäisiä epänormaaleja tuottoja. Selviä eroja eri osingontuottoluokkien välillä ei pystytty havaitsemaan. Tulokset yhdistetystä aineistosta osoittavat, että sijoittajat kokivat vähäisiä positiivisia epänormaaleja tuottoja laskukauden aikana. Nousukautena tuotot olivat lähellä nollaa. Suomen markkinoilla havaittiin selvä epänormaalituotto osingonilmoituspäivänä. Tulokset ovat pääpiirteittäin linjassa teorian kanssa. Sijoittajat arvostavat osinkoja hieman enemmän lasku- kuin noususuhdanteen aikana.

Return and Volatility spillovers among stock and Foreign Exchange Markets: Empirical Evidence from selected African Markets

Return and volatility dynamics in financial markets across the world have recently become important for the purpose of asset pricing, portfolio allocation and risk management. However, volatility, which come about as a result of the actions of market participants can help adapt to different situations and perform when it really matters. With recent development and liberalization among financial markets in emerging and frontier markets, the need for how the equity and foreign exchange markets interact and the extent to which return and volatility spillover are spread across countries is of importance to investors and policy makers at large. Financial markets in Africa have received attention leading to investors diversifying into them in times of crisis and contagion effects in developed countries. Regardless of the benefits these markets may offer, investors must be wary of issues such as thin trading, volatility that exists in the equity and currency markets and its related fluctuations. The study employs a VAR-GARCH BEKK model to study the return and volatility dynamics between the stock and foreign exchange sectors and among the equity markets of Egypt, Kenya, Nigeria, South Africa and Tunisia. The main findings suggest a higher dependence of own return in the stock markets and a one way return spillover from the currencies to the equity markets except for South Africa which has a weaker interrelation among the two markets. There is a relatively limited integration among the equity markets. Return and volatility spillover is mostly uni-directional except for a bi-directional relationship between the equity markets of Egypt and Tunisia. The study implication still proves a benefit for portfolio managers diversifying in these African equity markets, since they are independent of each other and may not be highly affected by the influx of negative news from elsewhere. However, there is the need to be wary of return and volatility spillover between the equity and currency markets, hence devising better hedging strategies to curb them.

Politics in extraordinary times : a study of the reaction of political parties and elites to terrorism

Cette thèse porte sur le comportement des élites politiques durant les périodes de crise nationale et plus particulièrement sur leurs réactions aux attentats terroristes. Elle démontre que les crises terroristes sont tout comme les conflits militaires ou diplomatiques propices aux unions nationales et notamment aux ralliements des partis d’opposition auprès du gouvernement. L’analyse statistique d’actes terroristes s’étant produits dans cinq états démocratiques (Allemagne, Espagne, États-Unis d’Amérique, France et Royaume-Uni) entre 1990 et 2006 révèle que l’ampleur d’un attentat en termes de pertes humaines ainsi que la répétition de ces attentats influencent dans une large mesure la réaction des élites politiques. Ainsi plus l’ampleur d’un attentat est élevée, plus la probabilité d’un ralliement est grande. En revanche, la multiplication des attentats augmente la possibilité de dissension entre l’opposition et le gouvernement. Par ailleurs, l’opposition est plus susceptible de se rallier au gouvernement lorsque l’attentat est perpétré par des terroristes provenant de l’étranger. L’analyse quantitative indique également que l’existence d’un accord formel de coopération dans la lutte antiterroriste entre le gouvernement et l’opposition favorise l’union des élites. Enfin, les données analysées suggèrent que la proportion des ralliements dans les cinq pays est plus importante depuis les attentats du 11 septembre 2001. Une analyse qualitative portant exclusivement sur la France et couvrant la période 1980-2006 confirme la validité des variables identifiées dans la partie quantitative, mais suggère que les élites réagissent au nombre total de victimes (morts mais aussi blessés) et que la répétition des actes terroristes a moins d’impact lors des vagues d’attentats. Par ailleurs, les analyses de cas confirment que les élites politiques françaises sont plus susceptibles de se rallier quand un attentat vise un haut-fonctionnaire de l’État. Il apparaît également que les rivalités et rancœurs politiques propre à la France (notamment suite à l’arrivée de la gauche au pouvoir en 1981) ont parfois empêché le ralliement des élites. Enfin, cette analyse qualitative révèle que si l’extrême gauche française soutient généralement le gouvernement, qu’il soit de gauche ou de droite, en période de crise terroriste, l’extrême droite en revanche saisit quasi systématiquement l’opportunité offerte par l’acte terroriste pour critiquer le gouvernement ainsi que les partis de l’establishment. La thèse est divisée en sept chapitres. Le premier chapitre suggère que le comportement des élites politiques en période de crises internationales graves (guerres et conflits diplomatiques) est souvent influencé par la raison d’État et non par l’intérêt électoral qui prédomine lors des périodes plus paisibles. Le second chapitre discute du phénomène terroriste et de la littérature afférente. Le troisième chapitre analyse les causes du phénomène d’union nationale, soumet un cadre pour l’analyse de la réaction des élites aux actes terroristes, et présente une série d’hypothèses. Le quatrième chapitre détaille la méthodologie utilisée au cours de cette recherche. Les chapitres cinq et six présentent respectivement les résultats des analyses quantitatives et qualitatives. Enfin, le chapitre sept conclut cette thèse en résumant la contribution de l’auteur et en suggérant des pistes de recherche.