Abstract
Fine-resolution regional climate simulations of tropical cyclones (TCs) are performed over the eastern Australian region. The horizontal resolution (30 km) is fine enough that a good climatological simulation of observed tropical cyclone formation is obtained using the observed tropical cyclone lower wind speed threshold (17 m s–1). This simulation is performed without the insertion of artificial vortices (“bogussing”). The simulated occurrence of cyclones, measured in numbers of days of cyclone activity, is slightly greater than observed. While the model-simulated distribution of central pressures resembles that observed, simulated wind speeds are generally rather lower, due to weaker than observed pressure gradients close to the centres of the simulated storms. Simulations of the effect of climate change are performed. Under enhanced greenhouse conditions, simulated numbers of TCs do not change very much compared with those simulated for the current climate, nor do regions of occurrence. There is a 56% increase in the number of simulated storms with maximum winds greater than 30 m s–1 (alternatively, a 26% increase in the number of storms with central pressures less than 970 hPa). In addition, there is an increase in the number of intense storms simulated south of 30°S. This increase in simulated maximum storm intensity is consistent with previous studies of the impact of climate change on tropical cyclone wind speeds.
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1 Introduction
The recent IPCC Third Assessment report on the effects of anthropogenically induced climate change (IPCC 2001) concluded that increases in tropical cyclone intensities were “likely, in some regions”. Writing in this report, Giorgi et al. (2001) summarized current understanding of this issue:
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1.
Little change in the regions of tropical cyclone formation is expected;
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2.
Changes in numbers could be significant in some regions, mostly tied to possible changes in the behavior of ENSO. A trend that is seen in a number of GCM simulations, to a more “El Niño-like climate” in a warmer world, may lead to tropical cyclone formation that is more similar to that seen in El Niño years than that in the current average climate;
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3.
There is an emerging consensus that maximum tropical cyclone intensities (i.e. wind speeds) are likely to increase by 5 to 10%. This will be accompanied by increases in peak precipitation rates of 20 to 30%.
These conclusions draw on the results of several studies performed in recent years, from work employing both GCMs (Bengtsson et al. 1995, 1996, 1997; Tsutsui and Kasahara 1996; Krishnamurti et al. 1998; Royer et al. 1998; Yoshimura et al. 1999; Sugi et al. 2002; Tsutsui 2002) and regional modelling results (Walsh and Watterson 1997; Knutson et al. 1998, 2001; Knutson and Tuleya 1999; Walsh and Katzfey 2000; Walsh and Ryan 2000). For projected changes in tropical cyclone intensity, results from theoretical techniques (Emanuel 1987; Holland 1997; Tonkin et al. 1997) have generally supported the conclusions of the modelling studies.
To date, regional model simulations of the effect of climate change on tropical cyclone intensity have mostly used a technique of inserting artificial tropical cyclones (or “bogussing”) into the model, and then comparing the evolution of their intensities under current climate and enhanced greenhouse conditions (e.g. Knutson et al. 1998, 2001; Knutson and Tuleya 1999; Walsh and Ryan 2000). It would be preferable if the simulated storms were generated either by the regional model itself or by the global model forcing it, running in climate mode. Knutson and Tuleya (1999) performed one experiment in which the regional model was initialized with weak vortices from the forcing climate model, but this experiment was not a climate simulation and did not produce a simulated climatology of storm numbers. In addition, previous climatological simulations have typically imposed a list of criteria to detect lows in the model that have some of the characteristics of observed tropical cyclones (TCs). For instance, the lows must have a warm core, they must have higher wind speeds in the lower than in the upper troposphere, they must have low-level wind speeds greater than a specified threshold, and so on. Wind speed thresholds used in previous studies have typically been rather lower than the observed tropical storm threshold of 17 m s–1. There are good reasons why this is so: a coarser-resolution model like a GCM cannot be expected to generate the tight pressure gradients needed for simulations of reasonable tropical cyclone wind speeds, and so a lower wind speed threshold is needed. However, it would be preferable if the observed threshold could be used for better evaluation of the actual performance of the model.
The resolution of the climatological simulations discussed here is high enough so that this observed threshold can be used and a good simulation of tropical cyclone numbers can still be obtained. This is the first climatological simulation that has this capability. In addition, this simulation does not use any bogussing, enabling an evaluation of the model’s native ability to generate strong storms.
Section 2 describes the model and methodology, Sect. 3 gives results, while Sect. 4 discusses the implications and gives a brief summary.
2 Materials and methods
2.1 Model and domain
The numerical study is carried out using the 3-dimensional CSIRO Division of Atmospheric Research Limited Area Model (DARLAM) of McGregor et al. (1993). DARLAM is a two-time-level, semi-implicit, hydrostatic primitive equation model on an Arakawa staggered C-grid, employing a Lambert conformal projection. The model is semi-Lagrangian, semi-implicit with bi-cubic spatial interpolation used during the horizontal advection. In the vertical, the turbulent mixing is parametrized in terms of stability-dependent K-theory; the shallow cumulus convection scheme of Geleyn (1987) is also used. Cumulus convection is simulated using a modified version of the Arakawa (1972) scheme, as documented in McGregor et al. (1993). Here, a model domain of horizontal grid size 130 × 160 is used with a uniform horizontal resolution of 30 km, with 18 levels in the vertical. This domain is one-way nested within a simulation run on a larger, outer domain at 125 km resolution (Fig. 1), using the method of Davies (1976), modified to use exponentially decreasing weights as suggested by Giorgi et al. (1994). Details of the TC climatology of this outer domain simulation are described in Nguyen and Walsh (2001). The outer domain simulation in turn was nested within a simulation of the CSIRO Mark 2 global coupled ocean–atmosphere GCM (Gordon and O’Farrell 1997), with sea surface temperatures for the 30 km domain interpolated from the GCM values. In the climate change simulation, the equivalent CO2 concentrations are gradually increased. The equivalent CO2 concentrations are computed as in Kattenberg et al. (1996):
where C o is the initial concentration (330 ppm) and ΔQ is a specified radiative forcing change, here taken following the IPCC/IS92a emission scenario of Kattenberg et al. (1996, see Hirst 1999 for details). The current study analyses simulated results for two time periods: the current climate (represented by the first 30 years, equivalent to 1961 to 1990) and 3 × CO2 conditions (i.e. equivalent to 3 × CO2 pre-industrial, roughly equivalent to the 30-year period from year 2061 to year 2090).
2.2 Detection and tracking methodology
The method used here is the same as that employed in Nguyen and Walsh (2001), with the main difference being that here the observed tropical storm wind speed threshold of 17 m s–1 is used. Use of this threshold is greatly preferred, but only the high horizontal resolution of this simulation enables this to be done. The other detection criteria used here are either structural criteria used to eliminate intense mid-latitude cyclones or threshold criteria designed to speed up the detection routine by excluding numerous instances of weak, low-level cyclonic vorticity, occurring in fields archived every 12 h.
The criteria are as follows:
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1.
A vorticity more negative than –10–5 s–1 (in the Southern Hemisphere);
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2.
There must be a closed pressure minimum within a radius of 250 km from a point satisfying (1), a distance chosen empirically to give a good geographical association between vorticity maxima and pressure minima; this minimum pressure is taken as the centre of the storm;
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3.
The total tropospheric temperature anomaly, calculated by summing temperature anomalies at 700, 500 and 300 hPa around the centre of the storm (anomalies from the mean environmental temperature at each level in a band 1200 km east and west and 400 km north and south of the storm), must be greater than zero;
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4.
The mean wind speed in a region 800 × 800 km square around the centre of the storm at 850 hPa must be greater than at 300 hPa;
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5.
The temperature anomaly at the centre of the storm at 300 hPa must be greater than at 850 hPa; and
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6.
The greatest 10 m wind speed observed in the storm at any one time must be at least 17 m s–1.
Simulated results are compared with observations from the Joint Typhoon Warning Center (JTWC) best track data.
An issue that was addressed in Nguyen and Walsh (2001) was how to best track the storms. In that study, after formation occurred, criteria 3, 4 and 5 were relaxed, and the subsequent evolution of the storm was followed until only criterion 6 was no longer satisfied, in other words when the greatest wind speed in the storm fell below 17 m s–1. The rationale for this was that observed tropical cyclones were tracked in a similar manner. The same tracking methodology is used here (termed the “relaxed” detection), but a discussion is also included of the implications for tracking of strictly applying all of the criteria listed all times (“restricted” detection).
3 Results
3.1 TC formation and occurrence
Figure 2 shows maps of observed and simulated formation over the eastern Australian region. Simulated TC formation occurs largely at the same latitudes as observed formation. There is somewhat more formation simulated over the open ocean than observed, and rather less near the edges of the domain, where suppression of simulated formation is occurring. This is caused by the DARLAM nesting procedure matching fields close to the edge of the 30-km domain with those of the coarser-resolution 125 km domain. Thus TCs in this region are inevitably weaker than in the rest of the 30 km domain and do not reach the 17 m s–1 threshold.
Figure 3 compares observed and simulated formation for the 30-km resolution simulation for 30 years, January–March, by latitude band. Agreement between observed and simulated formation rates is very good. The two distributions are statistically the same as indicated by the Kolmogorov-Smirnov test of distribution. There is some observed formation in the band 5–10°S that is not simulated. This is due most likely to the northern boundary of the 30-km resolution domain lying within this latitude band and thus suppressing simulated formation.
Results for occurrence (the number of cyclone-days in a given latitude band) are also good (Fig. 4), although the model simulates too much occurrence. A comparison can be made between the occurrence calculated using the “relaxed” detection shown in Fig. 4 and “restricted” detection, where all of the detection criteria are strictly applied at all times during the cyclone track. Figure 5 shows the same comparison as Fig. 4 but using the “restricted” detection. An obvious difference is that the “relaxed” criteria detect more storms at higher latitudes than do the “restricted” criteria. The “relaxed” criteria tend to overestimate storm occurrence at higher latitudes, while the “restricted” criteria underestimate occurrence in those latitudes. At higher latitudes, one way to improve the detection criteria and address the issue of extratropical transition (the transformation of tropical cyclones to extratropical low pressure systems) would be to include an objective criterion for extratropical transition in the detection scheme, along the lines of Hart (2002).
Under 3 × CO2 conditions, formation does not change substantially (Fig. 3), although there is an increase in the band 10–15°S, but a decrease in the 15–20°S band. Although these are noticeable differences, the 1× and 3 × CO2 distributions are not statistically significantly different using the Kolmogorov-Smirnov test. Occurrence (Fig. 4) also does not change very much under enhanced greenhouse conditions. There is little systematic difference between the two simulations. In some latitude bands, occurrence increases in a warmer world, while in others it decreases. Previous simulations using this modelling system (Walsh and Katzfey 2000) had produced results that suggested a poleward extension of tropical cyclone occurrence in this region under enhanced greenhouse conditions. In the results shown here, while there appears to be increases in cyclone occurrence in the bands 25–30°S and 35–40°S under enhanced greenhouse conditions (Fig. 4), these are not large and are counterbalanced by decreases in the band 20–25°S. Overall, south of 25°S, there is an increase in occurrence under enhanced greenhouse conditions, consistent with previous results, but these simulations could not really be called conclusive evidence of this effect.
Part of the difficulty of observing this effect in the Australian region was previously discussed in Walsh and Katzfey (2000), but is worth reiterating here. The region east of the Australian continent and south of about 25°S is a region of high climatological wind shear, here defined as the magnitude of the difference of the wind vectors between 200 and 850 hPa. As a result, cyclones often dissipate before traveling very far south in this region. Thus any climate change response may tend to be swamped by the effect of climatologically high vertical wind shear.
3.2 TC intensity
A comparison of observed and simulated intensity is shown in Fig. 6. Here, we compare simulated central pressures rather than wind speeds. There are a large number of storms in the JTWC best track data where intensity is indicated only by tropical storm or hurricane category rather than maximum wind speed or central pressure; data for this comparison shown in Fig. 6 were therefore taken from the Queensland Tropical Cyclone Data Base, compiled by the Australian Bureau of Meteorology, Brisbane, Australia. In these data, storm central pressures are included, but intensities are only indicated by cyclone category rather than wind speed. The resulting comparison (Fig. 6) shows that the model simulates too few weak storms and not enough very strong storms. Note that data is shown only for storms occurring south of 10°S and west of 160°E, as this is the area for which storms are recorded by the Queensland Tropical Cyclone Data Base. This gives different results for total occurrence compared with those shown in Fig. 4, where the results are calculated over a larger area.
One can obtain an indication of how well the model is simulating wind speed by comparing the simulated wind speed for a given central pressure with the conversion relationship between central pressure and maximum wind speed already established for the Queensland forecast region (Bureau of Meteorology 1998). This comparison is shown in Fig. 7 (note that this figure does not include any simulated storms with maximum winds speeds less than 17 m s–1). The model is clearly simulating a lower than observed maximum wind speed for a given central pressure. Even though the model is implemented at a resolution of 30 km, it still does not simulate a pressure gradient close to the centre of the storm that is comparable to that seen in reality. Thus although the storm central pressures can be quite deep (compare Fig. 6), the wind speeds are rather lower than observed.
Having said this, a comparison between simulated wind speeds in the current climate and under 3 × CO2 conditions is shown in Fig. 8. Larger numbers of the strongest storms occur under enhanced greenhouse conditions, consistent with previous results. A similar comparison for central pressures is shown in Fig. 9. These numbers represent a 56% increase in the number of storms with simulated maximum winds greater than 30 m s–1 and a 26% increase in the number of storms with central pressures less than 970 hPa. These results are consistent with our current understanding of the effect of climate change on maximum tropical cyclone intensities (Giorgi et al. 2001).
3.3 Causes of intensification and dissipation
It is well known that changes in intensity of tropical cyclones are closely related to prevailing conditions of vertical wind shear and sea surface temperature (SST; DeMaria 1996; Gallina and Velden 2002). Figure 10 shows changes between the current and 3 × CO2 runs for these two variables, as well as rainfall, which is related to the model’s ability to generate incipient convective disturbances. Increases in SST (Fig. 10a) are mostly 1.5–2 °C over the model domain. All other things being equal, this should lead to a modest increase in maximum storm intensity in this region. Similarly, there is some increase in rainfall in the enhanced greenhouse run north of 17°S (Fig. 10b), which would suggest better convective conditions for storm formation and thus perhaps more precursor disturbances. The vertical wind shear pattern (Fig. 10c), however, shows mostly decreases in shear north of about 17°S, but increases south of this latitude. Changes are mostly small but in some locations approach 2 m s–1, which may be large enough to cause some consistent differences in tropical cyclone formation (Shapiro 1987). Thus simulated formation north of 17°S would be increased in the enhanced greenhouse run, whereas south of this latitude it would be generally decreased. When formation numbers are partitioned by the 17°S meridian, however, little change in formation in enhanced greenhouse conditions is seen (not shown).
The modelling system here has some ability to replicate observed relationships between intensity, SST and shear. Figure 11 shows plots of the relationship between change in central pressure, vertical wind shear and SST over the subsequent 24 h for the current climate simulation (Fig. 11a), and the same over 48 h (Fig. 11b). Here we have excluded storms that are in the process of landfall, and also storms south of 30°S, where extratropical influences on intensity are more likely to occur. These plots are created by an inverse distance method that interpolates z values for an evenly spaced xy grid from xyz triplet data.
There is considerable scatter in the data, but the results do suggest that intensification (decrease in central pressure) is favoured for low values of shear and high values of SST. The results are particularly pronounced over 48 h (Fig. 11b). Multiple regression analysis shows that both of these relationships are highly statistically significant using the F test, but because of the scatter the percentage of variance explained is not high (r 2 approximately 0.15 in both cases).
Some features of Fig. 11b are of interest. Rapid intensification is possible for values of shear less than 10 m s–1 and SSTs greater than about 28 °C. Shear begins to cause substantial decreases in storm intensity for shear values slightly greater than 10 m s–1. In comparison, Gallina and Velden (2002) found this “critical” shear value above which observed tropical cyclones start to fill to be 7–8 m s–1 in the Atlantic and 9–10 m s–1 in the western north Pacific. In our simulations, maximum storm weakening occurs for shear approaching 20 m s–1. In contrast, for storms experiencing very high shear values (>25 m s–1), some storm intensification may even take place. This may indicate some influence of extratropical conditions, as these particular storms are at latitudes south of the tropics, with most close to 30°S.
Turning to those storms that travel south of 30°S, Fig. 12 shows a similar plot, but only for 24 h, as few storms last more than 48 h at these latitudes, either by dissipating, striking land (New Zealand) or hitting one of the model boundaries. Figure 12 shows that there is a similar relationship to that of Fig. 11, but with a couple of important differences. Decreases in intensity (increases in central pressure) are strong for wind shear values approaching 20 m s–1, but usually only if the SST is also low. Regression analysis again shows a strong relationship between increases in storm central pressure and the prevailing SST and wind shear, but this is due mostly to the SST, with correlations between SST and storm dissipation very strong (r = 0.63), while the relationship of changes in central pressure to shear is much weaker (r = 0.14). Overall, multiple regression gives a strongly significant relationship for predictions of increases in storm central pressure using the prevailing SST and wind shear, with r 2 = 0.41, mostly due to the effect of SST.
Observed tropical cyclone damage increases non-linearly with intensity (Pielke and Landsea 1998), with major hurricanes (Saffer-Simpson category 3 or higher) accounting for 83% of all Atlantic hurricane damage, despite only comprising 21% of all landfalling tropical cyclones in this region. While acknowledging that the simulation of wind speeds in this study is inadequate, we examine the latitudinal distribution of storms with central pressures less than 965 hPa (equivalent to Saffer-Simpson category 3 or greater) in the current and enhanced greenhouse climates. This is shown in Fig. 13. While there are some latitudinal bands where the occurrence of these storms increases in a warmer world (15–20°S; 30–40°S), there are also some where it decreases (20–30°S; >40°S). This may be partially explained by comparing this result to Fig. 10. It is noted that in the region 20–30°S vertical wind shear is greater in the enhanced greenhouse simulation, which would tend to oppose the increase in TC intensity caused by increased SSTs at these latitudes. In general, the increased SSTs in the enhanced greenhouse simulation do not appear to be causing a systematic poleward enhancement of TC intensity in this region in a warmer world. However, the strong relationship between dissipation and lower SSTs south of 30°S accounts for the increase in intense storm days in these latitudes under enhanced greenhouse conditions. Changes in stability over this region, while not explicitly examined here, may also have an effect (Sugi et al. 2002).
3.4 Interannual variability
Interannual variations in observed tropical cyclone formation in the simulated region are strongly associated with variations in ENSO (e.g. Basher and Zheng 1995), so it is of interest to determine the model’s ability to simulate this interannual variability. While the modelling system does have some ability to generate interannual variations similar to ENSO, it does not have a similar ability to generate interannual variations in tropical cyclone formation similar to those observed. Correlations were calculated between the interannual variation of TC formation and the indices of ENSO generated by the forcing GCM and outer domain limited area model (see Nguyen and Walsh 2001, Fig. 3). Correlations were not significant between interannual TC formation and model-generated Southern Oscillation Index (SOI), Niño 3 or Niño 4 SST indices. Nor were simulated La Niña years (defined in the model as SOI > 2) more likely to exhibit TC formation in this region than El Niño years (defined in the model as SOI < –2), as observed. We conclude that although the model has a good simulation of average TC formation, the simulated ENSO forcing from the outer domain LAM is too weak to affect simulated interannual formation in the inner, 30-km resolution LAM domain. Better results might be obtained with the new generation of GCMs that simulate much larger and more realistic ENSO variations (e.g. HADCM3, Gordon et al. 2000; CSIRO Mk3, Gordon et al. 2002).
4 Discussion and conclusion
As mentioned earlier, almost all previous modelling studies have used a windspeed detection threshold for tropical cyclone-like vortices that is less than the observed tropical cyclone threshold of 17 m s–1. One of the advantages of the modelling system described here is that the horizontal resolution is fine enough that it is not necessary to specify a lower than observed threshold. Nevertheless, a lower than observed threshold is probably more appropriate for a relatively coarse resolution model, as we know a priori that the model will not be able to simulate the extreme winds observed in tropical cyclones. In principle, “resolution-appropriate” detection criteria for GCMs could be diagnosed from reanalyses that have an excellent representation of tropical cyclone structure. In practice, current reanalyses are probably not adequate for this purpose (e.g. Fiorino 2002). Even so, despite the lack of generally accepted “resolution-appropriate” threshold detection criteria, insights into the effect of climate change on tropical cyclones can still be obtained from GCMs. Most global models predict little or no change in the regions of initial tropical cyclone formation, and this result may be robust to changes in the exact values of detection thresholds. A test was conducted of the sensitivity of formation numbers to the exact value of the wind speed threshold. It could be argued that a grid resolution of 30 km is still too coarse to use the observed 17 m s–1 threshold and that a lower value would be more appropriate to the resolution. Using a threshold of 14 m s–1 instead, detected TC numbers increased by 41%, which indicates significant sensitivity to this parameter and may indicate that the model is still generating too many TCs compared with observations.
The present study suggests that one way to avoid the issue of resolution-dependent thresholds would be to use a combination of global models and regional climate models, implemented over the individual tropical cyclone formation basins, to address the issue of the effect of climate change on tropical cyclones. Regional climate models will be run at even finer resolutions in the future, giving more confidence in their predictions, since even a climate model of 30-km horizontal resolution such as used here is fairly coarse to simulate a tropical cyclone.
An additional limitation of a regional model is that its climatology is to a large extent dependent on that of the forcing global model, and this would also be the case for simulated TCs. Nguyen and Walsh (2001) note that the SST pattern in the forcing GCM tends towards a more El Niño-like state in the enhanced greenhouse simulation, with temperature rising more in the eastern Pacific than in the west. There is a strong relationship between ENSO and tropical cyclone numbers close to the Australian coast, with numbers less during El Niño years and more during La Niña years (Hastings 1990). This would tend to reduce tropical cyclone numbers in the simulation in the limited area model domain used here. Nguyen and Walsh (2001) found that simulated TC numbers decreased slightly under enhanced greenhouse conditions west of 170°E, while numbers stayed about the same east of this meridian. In the current simulation, this behaviour is not seen, with formation remaining about the same both west and east of this meridian. One explanation may be that the interannual forcing from the GCM may be too weak, as mentioned earlier. This may also be due to the general increase in convection in a warmer world in the formation region, whereas in the forcing GCM in the same location, precipitation decreases. In contrast, in the GCM simulation by Sugi et al. (2002), the SSTs increased more in the western Pacific under enhanced greenhouse conditions than they did in the east. This was associated with a decrease in simulated TC formation in the southwest Pacific region, but Sugi et al. (2002) ascribed this to a general stabilization of the tropical atmosphere rather than to the change in the SST pattern.
The issue of whether warmer SSTs would extend the poleward occurrence of tropical cyclones (as opposed to formation regions) in a warmer world was also examined. The results shown did not constitute strong evidence of this effect. It is recommended that this issue be examined further in other regions of the globe, and that theoretical techniques be developed to address the topic, as well as the related issue of possible changes in extratropical transition characteristics in a warmer world.
In summary, 30-km horizontal resolution climate simulations were implemented over the eastern Australian region and used to examine both the model’s ability to simulate the current climate of tropical cyclones in this region and any changes in a warmer world. The model has a very good simulation of tropical cyclone formation in the current climate and a reasonable simulation of occurrence. The simulated distribution of storm central pressures is reasonable, although because the model simulates weaker than observed pressure gradients close to the storm centre, the model wind speeds are considerably weaker than observed. Under enhanced greenhouse conditions, numbers of tropical cyclones formed and their regions of formation do not change much. Occurrence also does not change substantially, although there is an increase in the number of intense storms simulated south of 30°S. Overall, there is a 56% increase in the number of storms with simulated maximum winds greater than 30 m s–1, or a 26% increase in the number of storms with central pressures less than 970 hPa, a result consistent with previous studies suggesting an increase in tropical cyclone maximum intensities in a warmer world.
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Acknowledgements.
The authors would like to thank the State Government of Queensland, particularly the Department of Natural Resources and Mines, and CSIRO for supporting this work. Jack Katzfey, Mike Fiorino and an anonymous reviewer made comments that improved the work.
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Walsh, K.J.E., Nguyen, KC. & McGregor, J.L. Fine-resolution regional climate model simulations of the impact of climate change on tropical cyclones near Australia. Climate Dynamics 22, 47–56 (2004). https://doi.org/10.1007/s00382-003-0362-0
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DOI: https://doi.org/10.1007/s00382-003-0362-0