ecological risk control in the context of sustainable development: methods

36
Ecological risk control the context of sustainable developm methods Vladimir Penenko ICM&MG SD RAS, Novosibirsk

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Ecological risk control in the context of sustainable development: methods. Vladimir Penenko. ICM&MG SD RAS, Novosibirsk. Tools for scenario approach: models & techniques. Models of hydrodynamics Models of transport and transformation of pollutants (gases and aerosols) - PowerPoint PPT Presentation

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Page 1: Ecological risk control  in the context of sustainable development: methods

Ecological risk control in the context of sustainable development:

methods

Vladimir Penenko

ICM&MG SD RAS, Novosibirsk

Page 2: Ecological risk control  in the context of sustainable development: methods

Tools for scenario approach: models & techniques

Models of hydrodynamics

Models of transport and transformation of pollutants (gases and aerosols)

Functionals for management strategies( generalized description of the system , restrictions, cost, etc.)

Sensitivity and observability algorithms

Combination of forward and inverse techniques

Joint use of models and data

Page 3: Ecological risk control  in the context of sustainable development: methods

• Extraction of multi- dimensional and multi-component factors from data bases

• Classification of typical situations with respectto main factors

• Investigation of variability

• Formation of “leading” spaces

Analysis of the climatic system for constructionof long-term scenarios

Page 4: Ecological risk control  in the context of sustainable development: methods

M a t h e m a t i c a l m o d e l

0

rfY),( G

tB ,

000

0 YY, ;

)( tD i s t h e s t a t e f u n c t i o n ,

)(Y tD i s t h e p a r a m e t e r v e c t o r . G i s t h e “ s p a c e ” o p e r a t o r o f t h e m o d e l

A s e t o f m e a s u r e d d a t a m , m o n m

tD ,

mm H )]([

i s t h e m o d e l o f o b s e r v a t i o n s .

,,r, a r e t h e t e r m s d e s c r i b i n gu n c e r t a i n t i e s a n d e r r o r s o f t h ec o r r e s p o n d i n g o b j e c t s .

Page 5: Ecological risk control  in the context of sustainable development: methods

Model of hydrodynamics

,01

u

i

i

Fxx

mlvdtdu

,01

v

i

i

Fyy

nludtdv

,0

i

iRT

.0)(

ii Lt

TTBTB ppppp ;/)(;/)(

SBBSB pppppp );1/()(;/)(

)( 1D

Page 6: Ecological risk control  in the context of sustainable development: methods

ya

myxa

nxmn

F ayiaxi

i

sa

a

F aii

va

1

amav

ynau

xmnaL i

iii

)(

Page 7: Ecological risk control  in the context of sustainable development: methods

Transformation of moisture and pollutants

Gases and aerosols

•interaction with underlying surface •dry and wet deposition•condensation and evaporation•coagulation

Model of atmospheric chemistryModel of aerosol dynamicsModel of moisture transformation•water vapour •cloud water•rain water

Page 8: Ecological risk control  in the context of sustainable development: methods

Model of transport and transformation

if i s t h e s o u r c e t e r m

iS )( i s t h e t r a n s f o r m a t i o n o p e r a t o r ,};0{ DxttD t .

Boundary and initial conditions

)(x,,)( tii tqR (x))(x, 00 .

0)(x,)(

)gradu(div

iii

iii

rtfSt

Li

{ , , , , , 1, }v c r iq q q c m is the function of pressure

Page 9: Ecological risk control  in the context of sustainable development: methods

Model of aerosol dynamics

1 1 1 11 10

( ) 1( ) ( , ) ( )

2

q N Ni

ik k km mk m

qq K q q q q q dq

t

)()(),()( qrq

dqqqqKq ii

q N

kkiki

M

1

0 111

),()()( tqQqRqq iiiii 2

2

11 NNi ;,

},),,({ Nitqi 1 -concentration of particles in volume ;, qqq

),( 1qqK - coagulation kernel;),( tqri - rates of condensation and evaporation;),( tqi - coefficients of diffusive change of particles;),( tqRi - removal parameter;),( tqQi -source term;

},,,{,,, Nmkiikikik 1-parameters of collective interaction of particles

Page 10: Ecological risk control  in the context of sustainable development: methods

Hydrological cycle of atmospheric circulation for studying aerosols

- evaporation of cloud-water

- autoconversion of cloud water to rain water

- accretion of cloud droplets by rain drops

- evaporation of rain water

- condensation of water-vapour

Main processes:

Page 11: Ecological risk control  in the context of sustainable development: methods

G e n e r a l f o r m o f f u n c t i o n a l s

KkdDdttF

tD

kkk ,...,,)(x,)()( 1

kF a r e t h e f u n c t i o n s o f t h e g i v e n f o r m ,

dDdtk a r e R a d o n ’ s m e a s u r e s o n tD , )(*

tk D .

Q u a l i t y f u n c t i o n a l s

KkdDdttMtD

kmT

mk ,...,,)(x,)()()( 1

“ M e a s u r e m e n t ” f u n c t i o n a l s

mtmkmk

D

K

k

DdDdttt

x,)x(x)(x,)( 1

R e s t r i c t i o n f u n c t i o n a l s

0 )(x,(,)(x, tNt k d i s t r i b u t i v e c o n s t r a i n t s

dDdttkk

D

kk

t

)(x,))()(()(

Page 12: Ecological risk control  in the context of sustainable development: methods

Functionals of measurements

dDdttxHMH mm

T

Dmm

t

),()()()( 111

dDdttxM mm

T

D

mm

t

),()( 222

2 1( ) ( ) ( , ) , 1,t

m c o

D

x t dDdt nr

2 2( ) ( ) ( , ) , 1,t

m c o

D

x t dDdt nr

, if 0( )

0, otherwise

A AA

Page 13: Ecological risk control  in the context of sustainable development: methods

The structure of the source term

K

kkkkk kXxetQf

1

1),,()1)((

)(tQksource power

),( kk Xx source shape

kX reference point of the source

Particular case

))((),( tXxXx kkk

ke control parameters

Page 14: Ecological risk control  in the context of sustainable development: methods

Functionals for assessment of source parameters

tD

aT

a dtdDffMffJ 11111 )()(

dtMQQJ ak

K

k

t

k 122

1 0

2 )(

dtMXXJK

k

takk 13

1 0

2

3

dtMXXdtd

JK

k

takk 14

1 0

2

4 )(

0)(

,)0(

:0

dtXXd

XX

takka

kk

Page 15: Ecological risk control  in the context of sustainable development: methods

T h e v a r i a t i o n a l f o r m u l a t i o n o f t h e p r o b l e mI n t e g r a l i d e n t i t y

0 )f,Y),(()Y,,( G

tBI

)(),( tt DD ),( ba i s i n n e r p r o d u c t o n ],0[ tDD t .

0)Y,,( I ( e n e r g y b a l a n c e e q u a t i o n )

C o n s t r u c t i o n o f t h e d i s c r e t e a p p r o x i m a t i o n s

)()(~ hk

h htD

hI )Y,,( i s e x t e n d e d f u n c t i o n a l .

S t a t i o n a r y c o n d i t i o n s

)(allfor,~

* ht

hhh

DI

0 ( d i r e c t p r o b l e m )

)(allfor,~

ht

hh

D

0 ( a d j o i n t p r o b l e m s )

Page 16: Ecological risk control  in the context of sustainable development: methods

E x t e n d e d f u n c t i o n a l f o r t h e m a i n a l g o r i t h m o f i n v e r s e m o d e l i n g

ht

mt D

TD

Thk

h MM r)(r)(.)()(~221150

hDR

TD

Tht

hh MM)(

)()( 4433

htD

hI )Y,,(

)4,1(, iM i a r e t h e w e i g h t m a t r i c e s ,

1,04

1

i

ii a r e t h e w e i g h t c o e f f i c i e n t s ,

, a r e t h e s o l u t i o n s o f t h e d i r e c t a n d a d j o i n t p r o b l e m s

0 )Y,,( hI

Page 17: Ecological risk control  in the context of sustainable development: methods

;0

div)(

)()()(1

)()gradgrad(

)(),()Y,,(

*

1

0

s****

******

****

4

1

***

t

t

t

dtduH

dSdtdut

THdDdt

yvTv

xuTumT

tT

HHHuHu

vuuvfI

n

S

S

n

i D

iii

Variational form of the models of hydrodynamics, transport and transformation of pollutants

Page 18: Ecological risk control  in the context of sustainable development: methods

Symmetrized form for operators of turbulent exchange and transformation of substances

M- transport operators, R – transformation operators,

i

nn

D

t

D

D

tt

t

t

dtdqdtdn

u

dDdDdtQR

dDdtMM

**

0***

***

*

))()5.0(

5.0})(){(

gradgrad))()((5.0

),(

}4,1,{ nii - adjoint function

- operators of boundary conditions

Page 19: Ecological risk control  in the context of sustainable development: methods

The basic algorithm of inverse modeling

0

rfY),(~

ht

hk GB

0

kkT

kT

t

hk dAB

Y),()(~

)),(.)(( 1150 Md Th

kk

0

ttk (x)001

300 tM ka ),(x,

),(x,)r(x, * tMt k1

2 ka M 14

YY

)Y,,(Y

k

hk I

0

Y),(Y),( hGA

t i s t h e a p p r o x i m a t i o n o f t i m e d e r i v a t i v e s

I n i t i a l g u e s s : aa YY,,r )()()( 00000 0

Page 20: Ecological risk control  in the context of sustainable development: methods

0

)Y,Y,(Y),()( kh

khk I

0

)Y,Y,(

Y kh

k I

The main sensitivity relations

The algorithm for calculation of sensitivity functions

}{ kik are the sensitivity functions}{Y iY are the parameter variations

NiKk ,1,,1

NNNdtdY

k ,,1,

The feed-back relations

Page 21: Ecological risk control  in the context of sustainable development: methods

n

i D

ikiikiy

ikix

t

ccyc

yc

xc

xc

1

[{

dtdcnc

dDdtcfcS iki

nikiiki

t

])(

}]))(([ dtdcqRccudDcc iki

D

iikintiki

t

00

Kk ,1

Simbol denotes variations of corresponding functions,and coefficients at are the sensitivity functions )(k

Y)),(()( hkY

hk grad

Sensitivity relation for estimation of risk/vulnerability and observability

Page 22: Ecological risk control  in the context of sustainable development: methods

Threshold of safety intervals

safe ecological conditions

Estimations for deterministic case

Risk assessment with the help of sensitivity functions

Kks

k ,1,

s

kk

N

iikik Y

1

Page 23: Ecological risk control  in the context of sustainable development: methods

}),{Y) ),1((EE(E NiYii )) i

N

ii Y (E(E

1

),)(D((D Y)

xdxxfP ,)()(

,)D(2

1)( )(2D

))(E( 2

xxx

ex

xf

)( ss PR

Estimations for deterministic-stochastic case

Page 24: Ecological risk control  in the context of sustainable development: methods

Safe range

Risk domain

D(x)/))(E()( xR ss

,)(22

)D(21

0

2

0

)(2D))E(( 22

dtedxex

Rt

xxx

s

s

}{1 ssr PRR

)D()(E s

Page 25: Ecological risk control  in the context of sustainable development: methods

•specifying the set of receptors and the structure of the functionals;• constructing and calculating the sensitivity relations ( solutions of the forward and adjoint problems);•revealing the risk/vulnerability domains for given set of receptors and functionals;•detecting the sources located in the risk domains;•grading the sources in accord with the degree of potential danger and the level of significance of the sensitivity functions;•separating the sources into two groups: open to control and placed beyond one’s reach ;•construction of management strategy according to the goal criteria and restrictions.

System organisation of the risk management algorithms

Page 26: Ecological risk control  in the context of sustainable development: methods

Numerical algorithm of control and identification

1. Calculation of SFs for goal functionals. Assessment of parameter variations

2. Calculation of SFs for restriction functionals

3. Formation of linearized manifold to take into account every restriction

4. Projection of estimations of item 1 on the restriction manifold of items 2&3

5. Check of convergence criteria

Page 27: Ecological risk control  in the context of sustainable development: methods

Global and regional models of hydrodynamics

Models of pollutants’ transport

Hybrid vertical coordinate system (p-sigma)

Fast data assimilation

Reanalysis NCEP/NCAR data base

Applications

Page 28: Ecological risk control  in the context of sustainable development: methods

Risk assessment of volcano eruption

Source of emission: ShiveluchRelease time 19-21.05.2001

Surface level150 mb

1

1

12

2

2

3

3

45

6

11 110 0.59 0.18 0.057 0.016 0.0055 0.0014 0.00053 0.00012 5E-051 1E-05

Risk domain to get pollution within the time interval 19.05-19.06.2001.Surface level, gases.Source of emission: volcano Shiveluch.

Release time 19.05-21.05 2001

1

1

1

1

2

2

3

33

45

7

11 110 0.59 0.18 0.057 0.016 0.0055 0.0014 0.00053 0.00012 5E-051 1E-05

Risk domain to get pollution within the time interval 19.05-19.06.2001.150mb, gases.Source of emission: volcano Shiveluch.

Release time 19.05-21.05 2001

Page 29: Ecological risk control  in the context of sustainable development: methods

Risk assessment for two versions of military action in Iraq:•winter•spring

From Iraq's Weapons of Mass Destruction Programs, U.S. Director of Central Intelligence, October 2002

Page 30: Ecological risk control  in the context of sustainable development: methods

Winter scenario animation

Spring scenario animation

Risk assessment for two versions of military action in Iraq:•winter•spring

Page 31: Ecological risk control  in the context of sustainable development: methods

Transboundary transport and risks in the Russian Far East, China and Korea

Page 32: Ecological risk control  in the context of sustainable development: methods

Forward problem:cities as aggregated sources of pollution

Shenyang Pyonguyang Laoyang Seoul Anshan Khabarovsk Teling Vladivostok Fu-shun Dalian Dantung In-Cou Jin-Jou Fu-Sin Beijng Harbin Changchun

Page 33: Ecological risk control  in the context of sustainable development: methods

animation

Page 34: Ecological risk control  in the context of sustainable development: methods

Inverse problem: cities as receptors

Vladivistok Khabarovsk Beijng Shenyang Dalian Seoul

animation

Page 35: Ecological risk control  in the context of sustainable development: methods

Conclusion

Combination of the forward and inverse modeling seems to be advanced technology for risk / vulnerabilitystudies

Joint use of sensitivity and observability techniques givesthe possibility to detect the unreachable and uncontrolled sources

Forecasting and management of ecological risks is a key element in the choice of the strategies of sustainable development and social safety

Subjects require amplification: •refinement of goal criteria and constrains;•forecasting and management in the conditions of uncertainties

Page 36: Ecological risk control  in the context of sustainable development: methods

Acknowledgements

The work is supported by•RFBR

Grant 04-05-64562•Russian Ministry of Science and Education

Contract № 37.011.11.0009• Russian Academy of Sciences

Program 13Program 14Program 1.3.2

•Siberian Division of Russian Academy of SciencesIntegrating projects 130, 131, 137, 138