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Patrick A. Harr and Russell L. Elsberry

Abstract

The variability of the large-scale circulation over the tropical western North Pacific is described within a framework defined by recurrent 700-mb circulation patterns that were defined by a fuzzy cluster analysis. Individual cluster patterns (defined in Part 1), which represent instantaneous depictions of the circulation variability, define favorable and unfavorable regions for tropical cyclone genesis and preferred track types. The fuzzy cluster coefficients, which describe the time variability of 700-mb large-scale circulation anomalies, are used to identify the basic persistence properties of the recurrent, anomalous circulation patterns. It is found that recurrent circulation patterns that are defined by small anomalies (i.e., close to the center of the cluster analysis phase space) are less persistent than recurrent patterns that represent distinct circulation anomaly patterns. Furthermore, the persistence of a particular sequence of anomaly maps that pass through a cluster is dependent upon the size of the cluster coefficients, which define how well the cluster pattern represents individual anomaly maps.

Analysis of transitions between clusters reveals that a rather limited set of transition paths exist. The most significant transition paths occur across a boundary within the cluster analysis phase space that separates circulation patterns that represent an active monsoon trough from patterns that represent an inactive monsoon trough. Physical descriptions of the significant transition paths are based upon 700-mb and 200-mb streamfunction and velocity potential anomalies, and anomalies of outgoing longwave radiation. The primary transition paths are found to be dependent upon interrelationships between several spatial and temporal scales of atmospheric variability. Furthermore, specific relationships were found to be critical for determining which transition path is followed. Secondary transition paths, which occur less frequently, are more dependent upon regional characteristics such as circulations within the tropical upper-tropospheric trough.

Physical associations between cluster patterns and tropical cyclone characteristics that were defined in Part I remain intact during transitions between the individual clusters. This is a significant result since the variability of the large-scale circulation within the cluster framework, which is defined by the cluster membership coefficients, can be used to infer sequences of persistent or transitioning circulation patterns. The potential application of the cluster framework for estimation of the stability of large-scale atmospheric circulation patterns and expected durations and transition paths is discussed in relation to the predictability of tropical cyclone characteristics.

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Patrick A. Harr and Russell L. Elsberry

Abstract

A mesoscale convective system (MCS) embedded in the circulation of Typhoon (TY) Robyn was investigated by two aircraft missions during the tropical cyclone motion (TCM-93) mini field experiment. The MCS initially formed north of the typhoon center, but was rapidly advected to the west by the strong midlevel easterlies located between Robyn and the subtropical ridge to the north. Coincident with the occurrence of the MCS, the motion of the typhoon changed from west-northwestward to a slow drift to the north. The structure of the MCS is investigated to examine whether the changes in motion of TY Robyn could be related to a midtropospheric vortex circulation in the MCS.

During the mature stage, the MCS has a convective region and an extensive stratiform region. A vigorous updraft in the convective region is tilted southward by the primary circulation around TY Robyn. Below the tilted updraft, descent in a mesoscale downdraft contributes to drying in the low levels, with a shallow surface layer of divergent flow from a weak cold pool. These features are below the MCS stratiform region, which is also forced to be south of the convective region by the circulation along the western side of TY Robyn. A potential vorticity maximum near 500 mb extends downward to 800 mb at the very southern edge of the MCS stratiform region, which was approximately 5° longitude west of the center of TY Robyn. During the decay stage of the MCS, the strengthening circulation of TY Robyn results in strong midlevel wind shear that prevents the maintenance of an upright potential vorticity center in the MCS stratiform region.

The track change of Robyn during the period is assessed relative to a potential Fujiwhara-type interaction with the MCS versus a change in the large-scale steering. Although the TY Robyn circulation clearly had an effect on the MCS, the MCS circulation is judged to be too weak, too shallow, and separated too far from TY Robyn to be responsible for the observed track changes. It is concluded that the changes in speed and direction of the typhoon arc caused by a large-scale circulation pattern that results in a combination of weak net environmental flow that is oriented to the north because of Robyn's location at the eastern edge of the western North Pacific monsoon trough.

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Patrick A. Harr and Russell L. Elsberry

Abstract

The development of extratropical cyclone structural characteristics that resulted from the extratropical transition of Typhoon (TY) David (1997) and TY Opal (1997) over the western North Pacific is examined. David moved poleward ahead of a midlatitude trough that was moving eastward as the dominant midlatitude circulation feature over the western North Pacific. During the transition, David coupled with the midlatitude trough, which led to the evolution of an intense cyclone that became the primary circulation over the North Pacific. Although Opal also moved poleward ahead of a midlatitude trough, the principal midlatitude feature over the western North Pacific was a preexisting stationary cyclone over the Kamchatka peninsula. During transition, Opal weakened and became a secondary cyclone to the preexisting primary North Pacific cyclone.

The structural characteristics of the evolving extratropical cyclone with respect to each case are examined in the context of the interaction between a vortex and a baroclinic zone using vector-frontogenesis diagnostics for the Lagrangian rate of change of the magnitude and direction of the horizontal gradient of potential temperature. In this framework, total frontogenesis is divided into components that define the magnitude and rotation of the potential temperature gradient. The initial evolution of extratropical cyclone features for both cases was dominated by warm frontogenesis due to the large amount of warm advection on the east side of the decaying tropical cyclone and the deformation field defined by the poleward movement of the tropical cyclone. However, large differences between the components of rotational frontogenesis for David and Opal are observed that are related to the subsequent reintensification of David and weakening of Opal. The differences are attributed to the different midlatitude circulation characteristics into which each tropical cyclone moved. The pattern of rotational frontogenesis associated with TY David reinforced the dynamical support for the coupling of David with the midlatitude trough, which resulted in the development of an intense extratropical cyclone. During the transition of Opal, maximum rotational frontogenesis occurred over the region where Opal interacted with the preexisting midlatitude cyclone. This weakened the coupling between Opal and the midlatitude trough and prevented the development of a separate extratropical cyclone.

One of the unresolved aspects of forecasting extratropical transition is to define when transition has occurred. Although the final extratropical cyclone characteristics may vary greatly from case to case, increased warm frontogenesis seems to be consistent during the initial change from tropical to extratropical characteristics. Therefore, evolution of a frontogenesis parameter is calculated for each case from before transition, through transition, and after transition. In both cases, the rate of increase in frontogenesis peaks at a time that may be defined as the transition time.

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Jeng-Ming Chen and Patrick A. Harr

Abstract

Application of an empirical orthogonal function (EOF) analysis to a data matrix that contains two or more variable fields has been referred to as extended EOF (EEOF) analysis. Coherence between individual features contained within one EEOF has been implied to represent interrelationships between the fields (in the case of a combination of different variables) or propagating features (in the case of the same field at different times). However, caution must be exercised in the interpretation of interrelationships within one EEOF because the derivation of the EEOFs is based on the optimization of the variance of every EEOF as an entity and may not indicate correlations among substructures within one EEOF. These types of problems associated with interpretation of EEOF analyses are highlighted through an analytic example and application to a dataset with known statistical properties.

Although other multivariate analysis techniques such as singular value decomposition and canonical correlation analysis are being used with more frequency, it is important to highlight potential difficulties associated with the EEOF technique that has been an integral analysis tool in meteorological research.

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Patrick A. Harr and Russell L. Elsberry

Abstract

Factors that contribute to intraseasonal variability in western North Pacific tropical cyclone track types are investigated. It is hypothesized that the 700-mb large-scale circulation can affect tropical cyclone track characteristics by enhancing or excluding genesis in certain regions, and concurrently prohibiting or favoring recurving versus straight tracks. A track-type climatology indicates that genesis location alone may explain some of the variability in track type. Although some genesis regions have no preference for straight-moving or recurving tracks, a formation north of 20°N or east of 150°E and north of 10°N favors a recurvature track. These recurving storms are classified as recurving-north, and recurving storms that form in regions with nearly equal probability of straight or recurving tracks are classified as recurving south.

A compositing technique is used to define anomalous 700-mb large-scale circulations that exist during the formation of tropical cyclones that subsequently follow either a straight track or one of the two types of recurring tracks. Anomalous circulations associated with extended periods that do not contain any tropical cyclones are also identified. Physically and statistically different anomalous large-scale circulation patterns exist at the time of genesis for storms following each track type and for inactive periods. The large-scale anomalies describe variations in the positions and intensities of the monsoon trough and subtropical ridge. During genesis of straight-moving and recurving-south storms, anomalous large-scale horizontal cyclonic shear exists throughout the South China Sea and Philippine Sm During straight-moving storms, cyclonic shear increases because of anomalous easterlies along the southern boundary of an enhanced subtropical ridge. During recurving-south storms, anomalous equatorial westerlies and cross-equatorial flow from the Southern Hemisphere act to increase the cyclonic shear.

The track-type climatology is used to predict the subsequent track type based only on genesis location. In a second scheme, the distributions of anomalous 700-mb zonal wind components in 5°latitude bands averaged between 100° and 140°E are used to predict the most likely track type. The large-scale 700-mb anomalies at genesis time determine the subsequent track type in a majority of cases. The skill of this simple scheme exceeds that from the climatological probability of track type.

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Patrick A. Harr and Russell L. Elsberry

Abstract

The basic structure of the variability of the large-scale circulations over the tropical western Pacific is investigated with respect to its influence on tropical cyclone characteristics. A vector empirical orthogonal function analysis and fuzzy cluster algorithm are applied to a 9-yr dataset to define six recurrent 700-mb circulation patterns that represent large-scale variabilities associated with the monsoon trough and subtropical ridge. Five of the cluster patterns, which contain 48% of the sample, define combinations of active (inactive) monsoon trough and strong (weak) subtropical ridge circulations. The sixth cluster, which contains 26% of the data sample, depicts small deviations from the long-term climatology. After the cluster centers are defined, the fuzzy cluster coefficients are used to identify a seventh cluster, which contains the remaining 26% of the circulation patterns that could not be classified within any of the original six clusters. The 700-mb circulation patterns are physically consistent with outgoing longwave radiation anomalies and the 200-mb streamfunction and velocity potential anomalies. Active and inactive monsoon trough patterns are related to large-scale velocity potential anomalies over the tropical western Pacific and Indian Ocean basins. Anomalous cyclonic circulations are found to be regions of anomalous convergence at 700 mb, divergence at 200 mb, and enhanced large-scale convection. Anticyclonic anomalies are regions of anomalous 700-mb divergence, 200-mb convergence, and reduced large-scale convection. Variability of the subtropical ridge is associated with large-scale, 200-mb streamfunction anomalies that are related to variations in the midlatitude longwave pattern.

Tropical cyclone activity is found to be related significantly to the variability of the monsoon trough described within the cluster framework. Active (inactive) periods are found to occur when the large-scale circulation anomalies are contained within clusters that represent an active (inactive) monsoon trough. However, grouping of clusters based exclusively on the variability of the monsoon trough does not adequately account for the variability in tropical cyclone track types. Comparisons between observed tropical cyclone track characteristics and the cluster definition at the time the tropical cyclone reaches tropical storm strength identify a statistically significant relationship between track type (straight-moving versus recurving) and the individual five cluster patterns that describe the variability of the monsoon trough and subtropical ridge. No relationships are found between tropical cyclone characteristics and the cluster that represents small deviations from the climatological mean or the cluster that is defined to contain circulation patterns not classified in any of the original six clusters. It is concluded that the cluster patterns define the basic structure of large-scale circulation variability over the tropical western Pacific and that these structures are related to tropical cyclone characteristics.

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Patrick A. Harr and Jonathan M. Dea

Abstract

The movement of a tropical cyclone into the midlatitudes involves interactions among many complex physical processes over a variety of space and time scales. Furthermore, the extratropical transition (ET) of a tropical cyclone may also result in a high-amplitude Rossby wave response that can extend to near-hemispheric scales. After an ET event occurs over the western portion of a Northern Hemisphere ocean basin, the high-amplitude downstream response often forces anomalous midlatitude circulations for periods of days to a week. These circulations may then be related to high-impact weather events far downstream of the forcing by the ET event. In this study, downstream development following ET events over the western North Pacific Ocean is examined. Local eddy kinetic energy analyses are conducted on four cases of North Pacific tropical cyclones of varying characteristics during ET into varying midlatitude flow characteristics during 15 July–30 September 2005. The goal is to examine the impact of each case on downstream development across the North Pacific during a period in which these events might increase the midlatitude cyclogenesis across the North Pacific during a season in which cyclogenesis is typically weak. Four typhoon (TY) cases from the summer of 2005 are chosen to represent the wide spectrum of variability in ET. This includes a case (TY Nabi 14W) that directly resulted in an intense midlatitude cyclone, a case in which a weak midlatitude cyclone resulted (TY Banyan 07W), a case in which the decaying tropical cyclone was absorbed into the midlatitude flow (TY Guchol 12W), and a case (TY Saola 17W) in which the tropical cyclone decayed under the influence of strong vertical wind shear. The variability in downstream response to each ET case is related to specific physical characteristics associated with the evolution of the ET process and the phasing between the poleward-moving tropical cyclone and the midlatitude circulation into which it is moving. A case of downstream development that occurred during September 2005 without an ET event is compared with the four ET cases.

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Jeng-Ming Chen, C-P. Chang, and Patrick A. Harr

Abstract

A multiple-set canonical correlation analysis (MCCA), which can be used to study atmospheric motions by analyzing the relationships among more than two sets of data fields, is proposed. By using the product or squared product of correlation matrices as the optimization criterion, this method generalizes the two-set canonical correlation analysis (CCA) and reduces the complications associated with the supermatrix approaches previously proposed in statistical textbooks. The final optimization equations can be greatly simplified to involve weighting functions of one field at a time. Furthermore, excluding or emphasizing correlations between special field pairs based on physical considerations can be easily implemented.

The method is identical to a supermatrix approach based on maximizing the product of canonical correlation coefficients when the individual canonical correlation matrices are perfectly diagonal. This would be true for idealized data that contain only orthogonal motion systems so that all datasets are perfectly correlated. In such a case, all supermatrix methods will also converge to the same solution. In real cases, cross-component correlations will occur, and their largest values, called largest residual correlations (LRCs), are a crude measure of the validity of the approximation. When LRCs are small compared to the corresponding canonical correlation coefficients, the results are reliable. Otherwise, solutions of different methods diverge and are all doubtful.

A statistical textbook example illustrates that solutions obtained are comparable to those from the supermatrix methods, and the relative LRCs are about 20%. A meteorological application example shows that, compared to the two-set CCA, the proposed MCCA gives a more powerful concentration of variance in the leading modes and higher canonical correlation coefficients. The resultant relative LRCs are small throughout all leading modes, apparently because meteorological data contain highly correlated variations.

The proposed technique nay also be applied to the singular-value decomposition analysis to allow a multiple-set singular-value decomposition analysis to be used on mart than two sets of data fields.

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Andrew B. Penny, Joshua P. Hacker, and Patrick A. Harr

Abstract

A nondeveloping tropical disturbance, identified as TCS025, was observed during three intensive observing periods during The Observing System Research and Predictability Experiment (THORPEX) Pacific Asian Regional Campaign (T-PARC)/Tropical Cyclone Structure-2008 (TCS-08) field experiment. The low-level circulation of the disturbance was relatively weak, asymmetric, and displaced a considerable distance from the midlevel circulation. An ensemble of high-resolution numerical simulations initialized from global model analyses was used to further examine TCS025. These simulations tended to unrealistically overdevelop the TCS025 disturbance. This study extends that work by examining the impact of assimilating in situ observations of TCS025 and dual-Doppler radial velocities from the airborne Electra Doppler Radar (ELDORA) using the Data Assimilation Research Testbed (DART) ensemble data assimilation system.

The assimilation of observations results in a more accurate vortex structure that is consistent with the observational analysis. In addition, forecasts initialized from the state of the ensemble after data assimilation exhibit less development than both the control simulation and an ensemble of forecasts without prior data assimilation.

A composite analysis of developing and nondeveloping forecasts from the ensemble reveals that convection was more active in developing simulations, especially near the low-level circulation center. This led to larger diabatic heating rates, spinup of the low-level circulation from vorticity stretching, and greater alignment of the low- and midlevel vorticity centers. In contrast, nondeveloping simulations exhibited less convection, and the circulation was more heavily impacted by vertical wind shear.

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Patrick A. Harr, Michael S. Kalafsky, and Russell L. Elsberry

Abstract

During a 10-day period in the Tropical Cyclone Motion (TCM-93) field experiment over the tropical western North Pacific, tropical cyclone formation occurred in association with persistent deep convection that was observed over low-level, north-oriented confluent flow between a large monsoon gyre to the west of a strong subtropical ridge. The convection was also modulated by a strong diurnal cycle with a convective maximum just before dawn and a convective minimum during the late afternoon. Observations from two aircraft observing periods (A0Ps) during two consecutive daytime periods identified three distinct mesoscale convective vortices (MCVS) in the persistent deep convection. During the initial AOP (AOP-1A), a well-defined mesoscale circulation at 500 mb was located directly above the strong low-level, south-southwesterly confluent flow. However, reduction in convection and associated midlevel forcing during the convective minimum period contributed to the decay of the MCV before it could penetrate downward through the strong low-level flow to tap ocean surface energy sources.

During the second AOP (AOP-1B), which was approximately 24 h after AOP-1A, two MCVs were identified by aircraft observations. A northern MCV, which dissipated shortly after the AOP, had a structure similar to the observed MCV in AOP-1A and was also located directly above the strong low-level north-oriented flow. A second midtropospheric MCV over the southern portion of the aircraft operating area extended down to 850 mb and was located in the cyclonic shear of the low-level flow. Although convection over the large area was decreasing during the diurnal minimum, several convective cells formed and grew in association with local low-level confluence between the low-level MCV circulation and the large-scale flow. In contrast to AOP-1A, this convection persisted and acquired a rotation as part of a northward-moving circulation that can he traced to a small low-level mesoscale circulation in satellite visible imagery approximately 10 h after the AOP as the same circulation observed over the southern region of AOP-1B. Satellite visible imagery documents the explosive convective development associated with the low-level circulation that led to the formation of Tropical Storm Ofelia. It is concluded that the southern MCV in AOP-1B was able to persist because of its extension to low levels, which was linked to its location on the cyclonic shear side of the strong low-level flow.

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