# General Laws of Adaptation to Environmental Factors: from Ecological Stress to Financial Crisis

A. N. Gorban; E. V. Smirnova; T. A. Tyukina

Mathematical Modelling of Natural Phenomena (2009)

- Volume: 4, Issue: 6, page 1-53
- ISSN: 0973-5348

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topGorban, A. N., Smirnova, E. V., and Tyukina, T. A.. "General Laws of Adaptation to Environmental Factors: from Ecological Stress to Financial Crisis." Mathematical Modelling of Natural Phenomena 4.6 (2009): 1-53. <http://eudml.org/doc/222333>.

@article{Gorban2009,

abstract = {
We study ensembles of similar systems
under load of environmental factors. The phenomenon of adaptation
has similar properties for systems of different nature. Typically,
when the load increases above some threshold, then the adapting
systems become more different (variance increases), but the
correlation increases too. If the stress continues to increase
then the second threshold appears: the correlation achieves
maximal value, and start to decrease, but the variance continue to
increase. In many applications this second threshold is a signal
of approaching of fatal outcome.
This effect is supported by many experiments and observation of
groups of humans, mice, trees, grassy plants, and on financial
time series. A general approach to explanation of the effect
through dynamics of adaptation is developed. H. Selye introduced
“adaptation energy" for explanation of adaptation phenomena. We
formalize this approach in factors – resource models and
develop hierarchy of models of adaptation. Different organization
of interaction between factors (Liebig's versus synergistic
systems) lead to different adaptation dynamics. This gives an
explanation to qualitatively different dynamics of correlation
under different types of load and to some deviation from the
typical reaction to stress.
In addition to the “quasistatic" optimization factor – resource
models, dynamical models of adaptation are developed, and a
simple model (three variables) for adaptation to one factor load
is formulated explicitly.
},

author = {Gorban, A. N., Smirnova, E. V., Tyukina, T. A.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {adaptation; factor; correlations;
principal components; dynamics; crisis; principal components},

language = {eng},

month = {11},

number = {6},

pages = {1-53},

publisher = {EDP Sciences},

title = {General Laws of Adaptation to Environmental Factors: from Ecological Stress to Financial Crisis},

url = {http://eudml.org/doc/222333},

volume = {4},

year = {2009},

}

TY - JOUR

AU - Gorban, A. N.

AU - Smirnova, E. V.

AU - Tyukina, T. A.

TI - General Laws of Adaptation to Environmental Factors: from Ecological Stress to Financial Crisis

JO - Mathematical Modelling of Natural Phenomena

DA - 2009/11//

PB - EDP Sciences

VL - 4

IS - 6

SP - 1

EP - 53

AB -
We study ensembles of similar systems
under load of environmental factors. The phenomenon of adaptation
has similar properties for systems of different nature. Typically,
when the load increases above some threshold, then the adapting
systems become more different (variance increases), but the
correlation increases too. If the stress continues to increase
then the second threshold appears: the correlation achieves
maximal value, and start to decrease, but the variance continue to
increase. In many applications this second threshold is a signal
of approaching of fatal outcome.
This effect is supported by many experiments and observation of
groups of humans, mice, trees, grassy plants, and on financial
time series. A general approach to explanation of the effect
through dynamics of adaptation is developed. H. Selye introduced
“adaptation energy" for explanation of adaptation phenomena. We
formalize this approach in factors – resource models and
develop hierarchy of models of adaptation. Different organization
of interaction between factors (Liebig's versus synergistic
systems) lead to different adaptation dynamics. This gives an
explanation to qualitatively different dynamics of correlation
under different types of load and to some deviation from the
typical reaction to stress.
In addition to the “quasistatic" optimization factor – resource
models, dynamical models of adaptation are developed, and a
simple model (three variables) for adaptation to one factor load
is formulated explicitly.

LA - eng

KW - adaptation; factor; correlations;
principal components; dynamics; crisis; principal components

UR - http://eudml.org/doc/222333

ER -

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