models: List of deterministic and stochastic ice age models

In mcrucifix/iceages: Ice age models and analysis

List of deterministic and stochastic ice age models

Usage

data(models)

Details

List of models, as follows:

• i80_d : Imbrie and Imbrie (1980) seminal 1-D model.

• vdp_d : Van der pol oscillator with constant bias.

• cr12_d : Generalisation of the van der Pol, with two stable states on the slow manifold

• vdp_s : Stochastic version of the van der Pol oscillator

• cr12_s : Stochastic version of the generalised van der Pol

• sm90_d : Saltzman and Maasch (1990) 3-D model of ice ages

• sm91_d : Saltsman and Maasch (1991) 3-D model of ice ages

• t06_d : Tziperman et al. (2006) hybrid (1.5-D) model of ice ages

• pp04_d : Paillard and Parrenin (2004) 3-D model of ice ages

• vcv18_d : Verbitsky - Crucifix - Volubeev (2018) 3-D model of ice ages

• pp12_d : Parrenin and Palliard (2012) 1.5 D model of ice ages

• i11_d : Imbrie et al. (2011) 2-D model of ice ages

Value

A list of models, where each model is a list with

• func Reference to fortran or C function. See src directory for examples of deterministic (ending as _d_f.f90) and stochastic (ending as _s_f.f90) models

• name String giving model name

• spar Named vector of standard model parameters. Should contain omega as the time-scale factor

• initgrid List of n items, where n is the dimension of the state of the system. Each item list is a vector of distinct values that will be used to construct a grid of initial conditions when estimating pullback sections and attractors (see basin)

Author(s)

M. Crucifix

References

1. J. Imbrie and J. Z. Imbrie, Modelling the climatic response to orbital variations, Science, 207, 943-953 1980

2. B. Saltzman and K. A. Maasch, A first-order global model of late Cenozoic climate, Transactions of the Royal Society of Edinburgh Earth Sciences, 81, 315-325 1990

3. B. Saltzman and K. A. Maasch, A first-order global model of late Cenozoic climate. II Further analysis based on a simplification of the CO_2 dynamics, Climate Dynamics, 5, 201-210 1991

4. E. Tziperman et al., Consequences of pacing the Pleistocene 100 kyr ice ages by nonlinear phase locking to Milankovitch forcing, Paleoceanography, 21, PA4206 2006

5. D. Paillard and F. Parrenin, The Antarctic ice sheet and the triggering of deglaciations, Earth Planet. Sc. Lett., 227, 263-271 2004

6. John Z. Imbrie, Annabel Imbrie-Moore, and Lorraine E. Lisiecki, A phase-space model for Pleistocene ice volume, Earth and Planetary Science Letters, 307, 94–102 2011

7. M. Crucifix, Why glacial-interglacial cycles could be unpredictable, in prep.

8. F. Parrenin and D. Paillard, Terminations VI and VIII (∼ 530 and ∼ 720 kyr BP) tell us the importance of obliquity and precession in the triggering of deglaciations, Climate of the Past Discussions, 8, 3143–3157 2012

See Also

pullback_d, propagate_s

Examples

data(models)
print(models$vdp_d)
# see pullback_d for an example of use of determinsitic models, 
# and propagate_s for a use of stochastic models.

mcrucifix/iceages documentation built on Jan. 11, 2023, 9:17 p.m.