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Tectonophysics 324 (2000) 189–201 www.elsevier.com/locate/tecto Thermal modeling of continental subduction and exhumation constrained by heat flow and seismicity in Taiwan Cheng-Horng Lin * Institute of Earth Sciences, Academia Sinica, PO Box 1-55, Nankang, Taipei, Taiwan, ROC Received 17 December 1998; accepted for publication 12 May 2000 Abstract The thermal evolution of crustal exhumation subsequent to the subduction of the continental margin is modeled through numerical solutions to the two-dimensional heat conduction equation. The boundary conditions used in the modeling are basically constrained by available geophysical and geological observations in the Taiwan area. Temperature distributions are calculated at one-million-year intervals over a 5 Ma duration. Although this study presents a tentative estimation based on some reasonable assumptions, the preliminary results not only explain the sharp change in seismicity within the crust but also agree with the general heat flow pattern on the surface of Taiwan. More specifically, both the high heat flow and the aseismic belt beneath the Eastern Central Range, which are probably attributed to higher temperatures within the crust, are modeled by crustal exhumation after the subduction of the continental margin. However, the occurrence of deeper earthquakes east of the Central Range is a result of the lower thermal gradient, which is due to the subduction of the cold continental crust into the uppermost mantle. In summary, preliminary thermal modeling supports the possibility of a tectonic model of active continental subduction and crustal exhumation for the Taiwan Orogen. © 2000 Elsevier Science B.V. All rights reserved. Keywords: exhumation; heat flow; seismicity; subduction; thermal modeling 1. Introduction The island of Taiwan is one of the youngest and most active orogenic belts on the earth. Crustal deformation ( Yu and Chen, 1996) and seismicity ( Tsai et al., 1977) are still actively going on due to the convergence of the Eurasian and Philippine Sea Plates (Fig. 1). East of Taiwan, the Philippine Sea Plate subducts toward the north beneath the Eurasian Plate along the Ryukyu Trench, while south of Taiwan, the Eurasian Plate underthrusts the Philippine Sea Plate along the Manila Trench. Both subduction features are directly identified * Tel.: +886-2-2783-9910 x521; fax: +886-2-2783-9871. E-mail address: [email protected] (C.-H. Lin) from seismicity in and around the island. To the northeast of Taiwan, a clear Wadati-Benioff zone is located in the A–A∞ cross-section, while in the south, another seismic zone is found in the B–B∞ cross-section (Fig. 2). In the major part of the island, the convergent characteristics are more complicated than those in either of the subduction zones. In the past decade, different tectonic models have been proposed to characterize the Taiwan Orogen based on different constraints and approaches (e.g. Suppe, 1981; Davies et al., 1983; Angelier et al., 1986; Dahlen and Barr, 1989; Huang and Wang, 1993; Wu et al., 1997), but the actual mechanism for the Taiwan Orogen remains a topic of wide debate. None of the proposed models has clearly explained all of 0040-1951/00/$ - see front matter © 2000 Elsevier Science B.V. All rights reserved. PII: S0 0 4 0- 1 9 51 ( 0 0 ) 0 01 1 7 -7 190 C.-H. Lin / Tectonophysics 324 (2000) 189–201 discussion of tectonic implications of the exhumation model by comparing the calculated thermal structure to both observed abundant seismicity and the heat flow pattern in the Taiwan area. Finally, the merits of this model over the previous models used are discussed. 2. Exhumation model Fig. 1. General tectonics in the Taiwan area. Bold lines indicate the major convergent boundary between the Philippine Sea and Eurasian Plates. Triangles marked along either side of the boundary represent the direction of subduction. The large arrow shows the movement of the Philippine Sea Plate toward the northwest. the fundamental observations. In particular, the unusual features of both high heat flow and seismicity, which are usually dependent on the thermal structures in an orogenic belt, are still not fully understood in the case of Taiwan. The purpose of this paper is to construct a thermal model based on an evolution model of active crustal exhumation subsequent to the subduction of the continental margin in Taiwan (Lin et al., 1998). This model not only provides a possible explanation for the unique seismicity and heat flow across the island in general (Lin, 1998), but also agrees a variety of geophysical and geological observations, including seismic tomography, focal mechanisms, GPS, leveling and isotope analyses (Lin and Roecker, 2000). This paper begins by briefly reviewing the evolution model of active crustal exhumation. A preliminary two-dimensional thermal structure across the convergent boundary between the Eurasian and Philippine Sea Plates is then constructed through a numerical solution. This is followed by a detailed The model of continental subduction and exhumation as proposed by Lin et al. (1998) and Lin and Roecker, 2000 explains the evolution of the Central Range of Taiwan. It is briefly summarized here. The current arc–continent convergence initiated in the northern part of Taiwan and propagated southward (e.g. Ernst, 1983; Pelletier and Stephan, 1986). Accordingly, the step of evolution can also now be observed in the south of Taiwan. The Taiwan Orogen began following the subduction of the Oligocene–Miocene South China Sea along the Manila Trench (Profile 1 in Fig. 3). Analogous to the simulations conducted by Chemenda et al. (1995, 1996), the continental shelf of the Eurasian Plate was dragged down into the mantle (Profile 2 in Fig. 3), carrying with it some of the thickness of the continental crust. Although the continental crust is commonly considered difficult to subduct, there is widespread evidence in the orogens that the continental crust may, in some circumstances, be at least partially subducted (Chopin, 1984; Wang et al., 1992; Dewey et al., 1993). As more crust was consumed in this fashion (Profile 3 in Fig. 3), the resistive buoyancy of the lighter material eventually increased to the point where decoupling occurred near the base of the crust, forming a crustal slice which, through the combined effects of buoyancy and erosion, made its way back up to the surface, even while the lithospheric mantle continued to subduct. The exhumed crustal slice proposed in the model (Profile 4 in Fig. 3) is now exposed at the surface in the Eastern Central Range where it is covered with metamorphic rocks. Overall, this evolution model of continental subduction and crustal exhumation agrees well with a variety of geophysical and geological observations, including those for seismic tomography, C.-H. Lin / Tectonophysics 324 (2000) 189–201 191 Fig. 2. Epicenters with magnitudes greater than 3.0 and three hypocenter projections (A–A∞, B–B∞ and C–C∞) recorded by the Central Weather Bureau Seismic Network (CWBSN ) in the Taiwan area from 1992 to 1996. Dotted lines at the A–A∞ and B–B∞ cross-sections mark the Benioff zone in the northeast and in the south of Taiwan, respectively. Dashed lines delineate a seismicity boundary between seismic and aseismic regions in the epicenter map and the C–C∞ cross-section. The location of unusual seismic belts is marked by a question mark. focal mechanisms, GPS, leveling and isotope analyses, seismicity and heat flow pattern. First, the existence of the exhumed crust, simply by the ascension of hot, ductile crustal material to shallow depth, might explain the observed high temperatures and an aseismic belt beneath the Eastern Central Range (Lin, 1998). Thus, the exhumation of a slice of the crust accounts for the prevalence of normal faulting (Cheng, 1995; Lin et al., 1998) and the extension observed in the Eastern Central Range (Lee, 1995; Crespi et al., 1996; Yu and Chen, 1996). Because the development of the crustal slice would occur only after an extended period of continental subduction, the evolution of the range would not be a steady-state process, but instead would be characterized by an acceleration of uplift following decoupling. Thus, this type of orogenic evolution is consistent with the observed 192 C.-H. Lin / Tectonophysics 324 (2000) 189–201 Fig. 3. (a) General geological regions in Taiwan (after Ho, 1988) including the Coastal Plain (CP), Western Foothills ( WF ), Western Central Range ( WCR), Eastern Central Range ( ECR), Longitudinal Valley (LV ) and Coastal Range (COR). The bathymetry is shown by contour on a gray scale. (b) Schematic diagrams summarizing the evolution model of active continental subduction and crustal exhumation. The model is also presented in Profiles 1–4 from south to north. Profile 1 cutting through the Manila Trench is a typical subduction of the oceanic crust. Profile 2 just cutting through the southern area of the Hengchung Peninsula shows the subduction of the continental margin and failure in the front of the subducting crust. Also, the overlying oceanic crust beneath the forearc basin is initially deformed. Profile 3 cutting through southern Taiwan shows exhumation in the Eastern Central Range originally due to buoyancy, and the strong deformation of both the exhuming and overlying crusts. Profile 4 cutting through central Taiwan shows the acceleration of exhumation in the Eastern Central Range due to the combination of both rapid erosion and buoyancy. acceleration of uplift over the past 1 Ma (Lan et al., 1990; Tsao et al., 1992; Tsao, 1996). Being a body with thermal and lithological characteristics distinctively different from the surrounding rocks at the same depth, an exhumed slice of the crust might very well explain the lateral variations in seismicity and the connection of the Eastern Central Range to the deeper structure, as observed in tomographic images (Lin et al., 1998). 3. Thermal modeling 3.1. Methodology A finite-difference method is employed in this study to compute two-dimensional geothermal models. Minear and Toksoz (1970a,b) initially reported the computational method, and its computational code, first written by N.H. Sleep, was C.-H. Lin / Tectonophysics 324 (2000) 189–201 later modified by K. Creager et al. Temperatures are computed from the conservation of energy equation: ∂T =V(KVT )+H, C r v ∂t where C is the specific heat at constant volume, v r is the density, T is the temperature, t is the time, K is conductivity, and the H is the heat source. The prime concern in this study is the temperature variation caused by the subducting slab and exhuming crust. Here, it is necessary to use a simple model, in which temperature is internally consistent, although the heat source considered for the down-going slab might include radioactivity, phase change, shear strain and adiabatic compression. It should be noted that no convection term is included in the equation because of the basic quasi-dynamic approach. The computational scheme involves translating temperatures following the motion field and then allowing thermal diffusion over the time interval until the next movement. In other words, temperature in the subducted crust translates downward and then warms up during each time interval. 3.2. Boundary conditions and parameters The boundary conditions and parameters in the estimation of the thermal structure across the island are largely constrained by a variety of observations or reasonable assumptions ( Table 1). The temperatures on the surface and below 100 km are assumed to be 0 and 1000°C respectively, and are in a steady-state condition. This assumption Table 1 Parameters for thermal modeling in this study Parameters Values Plate thickness Surface temperature Basal temperature Thermal conductivity ( K ) Specific heat (C ) v Subduction dip (w) Convergence rate Density 100 km 0°C 1000°C 4.7×105 erg/cm/° 1.25×107 erg/g/° 35° 7 cm/yr 3.3 g/cm3 193 implies that the initial heat flow is ca 95 mW/m2, a rate in good agreement with the averaged observation on the surface of the Coastal Plain, which is not in close proximity to the convergent boundary. The subduction process ( Fig. 4a) is described by a convergent rate of 7 cm/yr (Seno, 1977) with a subduction angle of 35°. The exhumation of the subducted crust ( Fig. 4b) within a trapezoid 30 km wide and 30 km thick took place after five steps, with each step taken as one million years. An exhumation rate of 3 cm/yr during the last one million years agrees with the uplifting rate of about 3–4 cm/yr observed across the Central Range during the past 20 years (Liu, 1995). 3.3. Results The thermal structures through six steps of evolution during the past 5 Ma are shown in Fig. 4c and d. Upon the evolution of continental subduction and exhumation, geothermal structures change considerably from west to east across the profile. Major thermal depression along the subducted slab is gradually enhanced through the subduction processes during the past 4 Ma ( Fig. 4c), while a small area of higher temperature is clearly caused by the exhumation in the last step ( Fig. 4d ). For a detailed discussion of the temperature perturbation, a small box around the convergent boundary profile (Fig. 4d ) is divided into four sections based on the horizontal distances, namely (I ) 0–70 km, (II ) 70–120 km, (III ) 120– 150 km, and (IV ) 150–200 km. Basically, the geothermal gradient in Section I ( Fig. 4d ) has not been disturbed by the effects of continental subduction and crustal exhumation. It maintains a gradient of about 20°C/km. The thermal gradient in Section II increases considerably within the upper crust due to the effect of crustal exhumation. The thermal gradient near the surface is over 50°C/km, and thus, the temperature reaches up to a few hundred degrees in the uppermost crust. The geothermal gradient in Section III decreases again due to the subduction of the continental crust. The thermal structure is clearly depressed along the top boundary of the subducted slab. On average, the gradient is less than 10°C/km. 194 C.-H. Lin / Tectonophysics 324 (2000) 189–201 Fig. 4. Kinematics of (a) subduction and (b) exhumation for computing the thermal models on the right. Thermal structures calculated after (c) the five-step subduction and (d ) the last step subduction with exhumation. Isotherms from 0 to 1000°C are separated by an interval of 100°C. Triangles mark the beginning of subduction on the surface. The thermal structure in Section IV is back to normal, with a gradient of 20°C/km. 4. Discussion Owing to limitations caused by uncertainties in the heat flow observations and the material properties of the rocks, the model derived in this study is not intended to reproduce exactly the thermal and mechanical conditions for the Taiwan Orogen. Instead, the relatively accessible and tectonically simple Taiwan Orogen is discussed as an example of general thermal and mechanical behavior in active collision zones undergoing rapid exhumation after the subduction of the continental margin. Therefore, a comparison of the major features of the calculated thermal structure with the overall characteristics of surface geology, heat-flow and seismicity is primarily focused upon. 4.1. Surface geology The major geological units in Taiwan from west to east include the Coastal Plain, the Western Foothills, the Central Range, the Longitudinal Valley and the Coastal Range ( Fig. 3a). Those regions, roughly striking NNE–SSW, are often C.-H. Lin / Tectonophysics 324 (2000) 189–201 bounded by faults and other discontinuities (Ho, 1988). The Coastal Plain, the Western Foothills and the Central Range belong to the Eurasian continental passive margin and shelf, while the Coastal Range is an island arc usually interpreted as the leading edge of the Philippine Sea Plate. The Longitudinal Valley, commonly considered the suture, represents the convergent boundary between the two plates. The general features in the upper crust of the calculated thermal structure ( Fig. 4d ) are comparable to the geological units of Taiwan. To illustrate, the undisturbed temperatures in Section I (0 – 70 km) in the model largely correspond with the Coastal Plain and Western Foothills in the western part of Taiwan. Both geological units are far away (greater than 50 km) enough from the Longitudinal Valley, which is a clear suture between the two plates. The Western Foothills are composed of Oligocene to Pleistocene clastic sediments that have been stacked up by a combination of northwest vergent folds and low-angle thrust faults dipping to the southeast. The Coastal Plain consists of Quaternary alluvial deposits derived from the Central Range and the Western Foothills. These features indicate that the western part of Taiwan could never have been disturbed by any major tectonic process, such as subduction or exhumation. The higher thermal gradient affected by the exhumed crust in Section II (70–120 km) correlates reasonably well with the uplifting mountains in the Central Range where metamorphic rocks are exposed on the surface. It has been estimated that metamorphism in much of the Central Range occurred at temperatures of 250–450°C and pressures of 300–400 MPa (e.g. Liou, 1981a,b; WangLee et al., 1982; Ernst, 1983, 1984; Ernst and Harnish, 1983; Warneke and Ernst, 1983). A recent study of the metasedimentary rocks by ‘illite crystallinity’, fission-track dating and K–Ar dating ( Tsao et al., 1992; Tsao, 1996) reported that the metamorphic basement has been uplifted at rapid rates of 7.5–15 mm/yr during the last 1.5 Ma. Uplifting in the Eastern Central Range has also been confirmed by leveling and GPS surveys. On the basis of the leveling results, Liu (1995) reported that during the past decade, the Central Range 195 has been uplifting rapidly (32–40 mm/yr) relative to the Longitudinal Valley. These observations indicate that metamorphic rocks in the Eastern Central Range can be explained by a wide slice of the exhumed crust. The temperature depression caused by subduction in Section III (120–150 km) is roughly associated with the geological units of the Longitudinal Valley and Coastal Range in eastern Taiwan. The Coastal Range, composed of Neogene volcanogenic and flyschoid rocks, was folded into a series of NNE-trending anticlines and synclines and cut by several thrust faults dipping mainly to the east (Barrier and Angelier, 1986). There is no evidence that metamorphism occurred in the Coastal Range. The temperature distribution in Section 4 (150– 200 km) in the model is comparable to the geological units east of the Coastal Range in the Philippine Sea Plate. The temperature distribution with a normal thermal gradient of 20°C/km indicates that no major tectonic process has occurred east of the Coastal Range. 4.2. Heat flow The estimated heat flow based on the thermal structures obtained in this study generally agrees with the measured heat flow near the surface (Lee and Cheng, 1986). The heat flow map in Taiwan ( Fig. 5) is basically constructed according to the data reported by Lee and Cheng (1986). Heatflow measurements are dense in the Coastal Plain and the Western Foothills, but sparse in the Central Range and the Coastal Range. In general, the heat flow pattern is roughly associated with topographic relief ( Fig. 5); a higher flow is often detected in higher elevations. The overall contours of the surface heat flow strike in a NNE–SSW direction approximately, which is parallel to the strike direction of the main geological structures of Taiwan. The surface heat flow changes significantly across the main structures. A heat flow of less than 100 mW/m2 is observed in the Coastal Plain and the Western Foothills, but it increases from west to east, reaching its peak over 200 mW/m2 in the Central Range, particularly between 23 and 24°N. Further east, heat flow decreases to 160 mW/m2 in the Coastal Range. In short, the strike parallel to 196 C.-H. Lin / Tectonophysics 324 (2000) 189–201 and 250 mW/m2 are basically in good agreement with the observed heat flow in Taiwan. In addition, the highest heat flow is about twice as large beneath the Central Range as that obtained in the Western Foothills and Coastal Plain. This is consistently the case in both the calculated and observed results. At the same time, however, some differences do exist between the calculated and observed heat flows. The major difference is in the Western Central Range, where the heat flows in Fig. 6a differ significantly from those reported by Barr and Dahlen (1989) due to the absence of measurements. This means that the detailed comparisons between the observed and calculated results lose their physical meaningfulness due to the strong uncertainty concerning the observed heat flows in the Western Central Range. In addition, east of 120 km in Fig. 6a, the depression of calculated thermal gradients, caused by the subduction of the continental crust, cannot be examined from observations due to the absence of any constraint east of the Coastal Range. 4.3. Seismicity Fig. 5. Surface heat flow distribution in Taiwan (after Lee and Cheng, 1986). Circles show the locations of heat flow measurements. The values marked at the contours represent the heat flow in mW/m2 units. the convergent boundary indicates that the geothermal structure is largely associated with tectonic events produced along the convergence between the Eurasian and Philippine Sea Plates. A representative comparison of observed and calculated heat flows is presented in Fig. 6a. The calculated heat flow on the surface is derived from the thermal structure after the six-step evolution, including crustal subduction and exhumation in Figs. 4d and 6b. These results are similar to the observed heat flow pattern shown in Fig. 5. Variations in the calculated heat flow between 100 The thermal model computed above can be used to explain seismicity across the major part of Taiwan. The seismicity of shallow earthquakes with focal depths of less than 40 km shows strong lateral variations in the major part of island. One of the most significant features is an unusually aseismic belt just along the west of the suture. This belt, shown by a question mark in Fig. 2, follows the main structures striking NNE–SSW and roughly covers an area of 20×150 km2 beneath the Eastern Central Range. Clearly viewed in the C–C∞ cross-section, an aseismic zone with widths of more than 20 km is identified in the crust. To the west of this aseismic zone, the focal depths of most earthquakes are less than 30 km. To the east, earthquakes show an east-dipping seismic zone distributed from the surface to depths of over 50 km. Such unusual seismicity features might be directly associated with the thermal structures of the Taiwan Orogen. This is because earthquakes within the continental crust are generally limited by the 350°C isotherm, which is a general indicator C.-H. Lin / Tectonophysics 324 (2000) 189–201 197 Fig. 6. (a) Comparison of the calculated and observed heat flows across Taiwan. The thick dashed line marks the calculated heat flow in this study. Circles and pluses show the observations obtained and observations reported by Dahlen and Barr (1989), respectively. (b) Parts of the thermal structure as marked by the dashed box in Fig. 4d. White lines at intervals of 100°C show isotherms, and the dotted line along the temperature of 350°C delineates the brittle–ductile transition boundary across the profile. (c) Seismicity and topography projected on to the C–C∞ cross-section of Fig. 2. The dotted line shows the possibly lowest boundary of seismicity. The dashed lines mark the boundary of the subducted crust. A schematic plot of subduction and exhumation is also shown here. 198 C.-H. Lin / Tectonophysics 324 (2000) 189–201 of the base of the brittle–ductile transition under the assumption of quartz-dominant lithologies for the crust (Chen and Molnar, 1983). In the following, a detailed comparison of the thermal structures in light of seismicity is discussed for each of the four sections in Fig. 4d. In Section I ( Fig. 6b), the calculated thermal structure within the crust shows a normal thermal gradient of about 20°C/km that has not been disturbed by the evolution processes assumed in the model. As a result, the 350°C isotherm within the continental crust is flat. This is generally consistent with the seismicity ( Fig. 6c) that the boundary between seismic and aseismic areas, thought to be related to the brittle–ductile boundary, is almost flat. In Section II, the higher temperature obtained within the crust roughly reflects the aseismic zone observed in the Eastern Central Range ( Figs. 2 and 6c). Because of the higher thermal gradient (over 50°C/km) near the surface, almost no earthquake has been located at the depths of more than 10 km. In other words, a temperature of more than 350°C, which is generally thought to represent the transition between a brittle and ductile boundary in the continental crust, can be reached at a depth of just a few kilometers. Thus, the deformation beneath the Central Range is probably a result of an aseismic slip due to higher temperatures. This can also be confirmed by the strong folding within the metamorphic rocks on the surface across the Central Range (Lee, 1995; Crespi et al., 1996). It is suggested that those rocks were initially deformed underground under higher temperatures and were rapidly exhumed to the surface. In Section III, the results of calculated thermal depression can be used to infer the broad distribution of earthquakes from the surface to a depth of 50 km beneath the Coastal Range and the westernmost Pacific Ocean. The occurrence of those earthquakes, similar to those within the typical Benioff zone along the subducted slab (such as the A–A∞ cross-section in Fig. 2), is most likely attributed to a low thermal gradient caused by the subduction of a colder crust into the hotter mantle. In addition, those earthquakes with an east-dipping seismic zone are evidently limited by an eastdipping boundary of about 40°. Again, this pattern is largely associated with the eastward subduction of the continental margin. In Section IV, the calculated thermal structure within the crust again shows a normal thermal gradient of about 20°C/km. This agrees with those observations of seismicity mostly limited to depths of less than 25 km. The pattern of seismicity is somewhat like that in Section I because neither of their geothermal gradients was disturbed by the evolution of continental subduction or crustal exhumation. 4.4. Previous studies Owing to the more complete geometrical coverage and additional constraints in a revised geodynamic model, the geothermal structure obtained from this study is considered more appropriate to describe the Taiwan Orogen than those from previous studies (Barr and Dahlen, 1989; Huang and Wang, 1993). First, the thermal structure here has considered a wider coverage of the convergent zone between the two plates, taking into consideration the possibility of interaction between the Eurasian and Philippine Sea Plates. In contrast, the previous studies are basically limited to the upper crust of the western Taiwan Orogen, which represents the continental part of the convergent belt and only belongs to a portion of the thermal structure. It must be kept in mind that Taiwan is deformed under a strong convergence between the Eurasian and Philippine Sea Plates, and thus, interactively geodynamic processes between the plates are of concern. Consequently, thermal structures must be constructed in the convergent zone rather than in one plate alone. Besides the wider coverage, the thermal structure in this study is deeper than that of both previous studies, which, in spite of different approaches, are based on the same assumption that deformation is limited above a major decollement in the Taiwan Orogen. In reality, the deformation probably occurred within the upper crust as well as the lower crust and/or the uppermost mantle. In fact, the deformation probably did not just occur within the upper crust; on the contrary, the lower crust and/or uppermost mantle most likely underwent deformation (Roecker et al., C.-H. Lin / Tectonophysics 324 (2000) 189–201 1987; Rau and Wu, 1995; Wu et al., 1997; Lin et al., 1998). For example, the occurrence of some earthquakes below depths of 20 km in the Coastal Plain and Western Foothills ( Fig. 2) indicates that the deformation is still at work below the assumed decollement, the bottom of the critical wedge. Furthermore, a simple wedge model, proposed by Suppe (1981), cannot fit the gravity data in Taiwan ( Ellwood et al., 1996; Yen et al., 1998). The geodynamic process of active subduction and exhumation in this study is totally different from that in previous studies. On one hand, Barr and Dahlen (1989) computed thermal structures based on critical wedge kinematics. On the other hand, Huang and Wang (1993) estimated thermal models based on a discrete sequential thrusting. For these reasons, the thermal structures obtained in this study are significantly different. Finally, the thermal structures obtained in this study are generally consistent with both heat flow and seismicity, while the earlier results were constrained by heat flow alone. It is, however, reasonable that both heat flow and seismicity are two of the most important factors reflecting the geothermal structures in active orogen zones. Heat flow observed near the surface largely depends on the geothermal gradients in the shallowest part of the earth, whereas seismicity provides geothermal information within the crust because the occurrence of earthquakes reflects the behavior of thermal properties. Each of the observations has advantages and drawbacks. Heat flow provides direct information on temperature distribution near the surface, but it may be biased by extraneous factors, such as measurement errors and a paucity of data due to difficult survey procedures in mountainous regions. Seismicity, however, allows enough data within the crust of active orogens, but the projection of the seismicity pattern into the geothermal structure is somewhat more complicated. For these reasons, it is more effective to construct geothermal structures constrained by both heat flow and seismicity in active orogens. Thus, it is not surprising that the thermal models obtained from previous studies fall short in explaining the strong lateral variations in seismicity pattern across the island, such as the aseismic zone beneath the Eastern Central Range 199 and the east-dipping seismic zone from the surface to a depth of 50 km beneath the leading edge of the Philippine Sea Plate ( Fig. 2). In summary, thermal models from the previous studies might not be as appropriate for the Taiwan Orogen as originally thought. 5. Conclusions The first-order agreement between the calculated thermal structure and observations of both seismicity as well as heat flow supports the tectonic model of crustal exhumation subsequent to the subduction of the continental margin in the Taiwan area. In this model, the Eastern Central Range is the locus of the exhumed crust that had been dragged downward by the dense mantle lithosphere of the Eurasian plate. The exhumation occurred when the buoyancy forces on the light subducted continental crust increased sufficiently to produce decoupling at the base of the crust and then failure in front of the subduction zone. The higher temperatures produced by the exhumed crust exposed on the Eastern Central Range are consistent with the higher heat flow observed on the surface and the aseismic zone within the upper crust. This exhumation in the Eastern Central Range also agrees with a variety of recent evidence, such as the vertical principal stress investigated from focal mechanisms, the rapid uplifting obtained from illite crystallinity, fission-track and K–Ar dating and the crustal extension from GPS surveys. The lower temperatures (or thermal depression), generated by the subduction of the continental margin at a rate of 5.74 cm/yr during the past 5 Ma also successfully explain the broad distribution of earthquakes at depths of 50 km beneath the Coastal Range. An east-dipping zone of those earthquakes is very consistent with the top boundary of the subducted continental margin. In addition, a normal gradient of 30°C/km for the Coastal Plain, reflecting a normal heat flow on the surface and a limited number of earthquakes occurring in the upper crust, is usually equated with not having been disturbed by any significantly tectonic process during the last few million years. 200 C.-H. Lin / Tectonophysics 324 (2000) 189–201 Acknowledgements The author would like to thank Giorgio Ranalli and an anonymous reviewer for their constructive comments on the manuscript. Thanks are also extended to the Central Weather Bureau for providing earthquake data. Discussions with S.W. Roecker, J.C. Lee, R.J. Rau, and P.L. Wang have also been very helpful. References Angelier, J., Bergerat, F., Chu, H.T., 1986. Plate collision and paleostress trajectories in a fold-and-thrust belt: the Foothills of Taiwan. Tectonophysics 125, 161–178. 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