Note: Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- 1 Introduction -- 1.1 Thermal history: the accumulation of thermochronological age -- 1.2 Cooling, denudation and uplift paths -- 1.3 Thermochronology in practice -- Choice of thermochronometer -- Sampling scale -- Structural complexity -- Mineralogy -- Sample preparation -- Sample quality -- 2 Basics of thermochronology: from t-T paths to ages -- 2.1 The isotopic age equation -- 2.2 Solid-state diffusion - the basic equation -- 2.3 Absolute closure-temperature approximation -- 2.4 Dodson's method -- 2.5 Numerical solution -- The spherical approximation -- The finite-difference formulation -- 2.6 Determining the diffusion parameters -- Tutorial 1 -- 3 Thermochronological systems -- 3.1 Ar dating methods -- Diffusion behaviour of Ar -- Modelling routines -- 3.2 (U-Th)/He thermochronology -- Diffusion behaviour of He -- Mad_He.f90 -- 3.3 Fission-track thermochronology -- Annealing of fission tracks and confined track-length distributions -- Annealing models -- MadTrax.f -- Tutorial 2 -- 4 The general heat-transport equation -- 4.1 Heat transport within the Earth -- 4.2 Conservation of energy -- 4.3 Conduction -- 4.4 Advection -- 4.5 Production -- 4.6 The general heat-transport equation -- 4.7 Boundary conditions -- 4.8 Purely conductive heat transport -- Conductive equilibrium - variable conductivity -- Conductive equilibrium - the effect of heat production -- Tutorial 3 -- 5 Thermal effects of exhumation -- 5.1 Steady-state solution -- Uplift and exhumation -- Basic PDE: the steady-state case -- The dimensionless form -- Solution -- 5.2 Thermal effects of exhumation: transient solution -- Basic PDE: the transient case -- Solution -- 5.3 Thermal effects of exhumation: the general transient problem -- Finite-element equations -- The weak form -- The weighted residual. , The Galerkin method -- Finite-element discretisation -- Shape functions -- Linear shape functions -- Local coordinates -- Quadratic shape functions -- Two-dimensional elements -- Shape-function derivatives -- Which elements to use? -- Numerical integration -- The Newton-Cotes formula -- Gauss quadrature -- Which integration scheme? -- Time-stepping algorithms -- An explicit-implicit scheme -- Limits on time-step length -- Assembling the matrices -- The complete matrix -- Banded matrices and node numbering -- Solution of the finite-element equations -- Fixed-temperature boundary conditions -- Positive-definite, symmetrical -- Non-symmetrical A -- Iterative methods -- Heat1D -- Comparison with analytical solutions -- Tutorial 4 -- Tutorial 5 -- Tutorial 6 -- 6 Steady-state two-dimensional heat transport -- 6.1 The effect of surface topography -- Conductive equilibrium -- Effects of exhumation -- Another approximate solution -- 6.2 The age-elevation relationship - steady state -- 6.3 Relief change -- Conclusion -- Tutorial 7 -- 7 General transient solution - the three-dimensional problem -- 7.1 Pecube -- 7.2 Time-varying surface topography -- 7.3 Surface relief in the Sierra Nevada -- Tutorial 8 -- 8 Inverse methods -- 8.1 Spectral analysis -- 8.2 An example based on synthetic ages -- 8.3 Application of the spectral method to the Sierra Nevada -- 8.4 Sampling strategy -- 8.5 Systematic searches -- 9 Detrital thermochronology -- 9.1 The basic approach -- 9.2 Deconvolution of detrital age distributions -- 9.3 Estimating denudation rates from detrital ages -- 9.4 Estimating relief from detrital ages -- 9.5 Interpreting partially reset detrital samples -- 10 Lateral advection of material -- 10.1 Lateral variability in tectonically active regions -- 10.2 Exhumation and denudation in multi-dimensional space. , 10.3 Consequences of lateral motion for thermochronology -- Integrated effects on individual ages -- Consequences for spatially dispersed datasets -- 10.4 Scaling of lateral significance with closure temperature -- 10.5 Evaluation of the significance of lateral variation -- Regional estimation of significance: the Eta factor -- Deconvolving lateral effects on the thermochronological record -- Case study: the Olympic Mountains -- Tutorial 9 -- Tutorial 10 -- 11 Isostatic response to denudation -- 11.1 Local isostasy -- 11.2 Flexural isostasy -- 11.3 Periodic loading -- 11.4 Isostatic response to relief reduction -- 11.5 Effects on age distribution -- 11.6 Effects on age-elevation distributions -- 11.7 Application to the Dabie Shan -- 12 The evolution of passive-margin escarpments -- 12.1 Introduction -- 12.2 Early conceptual models: erosion cycles -- 12.3 Thermochronological data from passive margins -- 12.4 Models of landscape development at passive margins -- 12.5 Combining thermochronometers and modelling -- 13 Thermochronology in active tectonic settings -- 13.1 A simple model for continental collision -- 13.2 Heat advection in mountain belts -- 13.3 The Alpine Fault, South Island, New Zealand -- 13.4 Application of the Neighbourhood Algorithm to Southern Alps data -- Appendix 1 Forward models of fission-track annealing -- A1.1 Variable temperature history -- Appendix 2 Fortran routines provided with this textbook -- Appendix 3 One-dimensional conductive equilibrium with heat production -- A3.1 The problem -- A3.2 The basic equation -- A3.3 The dimensionless form -- A3.4 Analytical solution -- A3.5 Temperature at the base of the crust -- A3.6 The relationship between heat flux and heat production -- Appendix 4 One-dimensional conductive equilibrium with anomalous conductivity -- A4.1 The problem -- A4.2 The basic equation. , A4.3 The dimensionless form -- A4.4 Analytical solution -- A4.5 Temperature at the base of the crust -- Appendix 5 One-dimensional transient conductive heat transport -- A5.1 The problem -- A5.2 The basic equation -- A5.3 The dimensionless form -- A5.4 Analytical solution -- Appendix 6 Volume integrals in spherical coordinates -- A6.1 Spherical integrals -- Appendix 7 The complementary error function -- Appendix 8 Pecube user guide -- A8.1 How to compile and execute Pecube -- A8.2 The input file -- A8.3 create_Pecube_in -- A8.4 Peclet_ geom -- A8.5 Output files -- Appendix 9 Tutorial solutions -- A9.1 Tutorial 1 -- A9.2 Tutorial 2 -- A9.3 Tutorial 3 -- A9.4 Tutorial 4 -- A9.5 Tutorial 5 -- A9.6 Tutorial 6 -- A9.7 Tutorial 7 -- A9.8 Tutorial 8 -- A9.9 Tutorial 9 -- A9.10 Tutorial 10 -- References -- Index.