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ENSC 425/625 Chapter 1 Chapter 3 Daisyworld Objectives: Albedo Couplings between daisy coverage & T Equilibrium states in Daisyworld Response of Daisyworld to incr. solar output

Chapter 3 Daisyworld

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Chapter 3 Daisyworld. Objectives: Albedo Couplings between daisy coverage & T Equilibrium states in Daisyworld Response of Daisyworld to incr. solar output. A view of Daisyworld from outer space. Couplings between daisy coverage & T . T. Daisy coverage. Daisy Coverage. albedo. T. - PowerPoint PPT Presentation

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Page 1: Chapter 3   Daisyworld

ENSC 425/625 Chapter 3UNBC 1

Chapter 3 Daisyworld

Objectives:•Albedo

•Couplings between daisy coverage & T

•Equilibrium states in Daisyworld

•Response of Daisyworld to incr. solar output

Page 2: Chapter 3   Daisyworld

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A view of Daisyworld from outer space

Page 3: Chapter 3   Daisyworld

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ENSC 425/625 Chapter 3UNBC 4

Couplings between daisy coverage & T •Incr. daisy coverage of planet => decr. T.

T

Daisy coverage

DaisyCoverage T

DaisyCoverage albedo T

Page 5: Chapter 3   Daisyworld

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•Daisies can live between a min.T & a max. T

T

Dai

sy c

over

age

min. max.

optimum

T daisycoverage T daisy

coverage

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ENSC 425/625 Chapter 3UNBC 6

•Intersection of 2 curves means the 2 effects are balanced => equilibrium points P1 & P2.

T

Dai

sy c

over

age

Effects of T ondaisy coverage

P1

Effects of daisy coverage on T

P2

T daisycoverage T daisy

coverage

Page 7: Chapter 3   Daisyworld

ENSC 425/625 Chapter 3UNBC 7

Feedback loops

P1

Effects of daisy coverage on T

P2 T

Dai

sy c

over

age

Effects of T ondaisy coverage

Page 8: Chapter 3   Daisyworld

ENSC 425/625 Chapter 3UNBC 8

• Perturb daisy coverage at P1 => sys. returns to P1 (stable equil. pt.)

T

Dai

sy c

over

age

P1

P2

A large perturb. => daisies all die from extreme T

Page 9: Chapter 3   Daisyworld

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•Large incr. in daisy cover => very low T => decr. in daisy cov. => very high T => lifeless.

P1

T

Dai

sy c

over

age

P2

Page 10: Chapter 3   Daisyworld

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•From P2, incr. daisy cov. => decr. T => further incr. in daisy cov. => converge to P1

P1

T

Dai

sy c

over

age

P2unstable equilib. pt.

T daisycoverage

Page 11: Chapter 3   Daisyworld

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Gradual incr. in solar luminosity

T

Dai

sy c

over

age

P1

P2Teq

To Tf

P1

P2

The effect of T on Daisy unchanged

For any particular value of daisy cov., T incr.

Page 13: Chapter 3   Daisyworld

ENSC 425/625 Chapter 3UNBC 13

•As solar lum. incr., T incr. => daisy cov. incr.

•Eventually, daisies cannot expand, but T keeps incr.

=> daisies dying => decr. albedo => rapid T incr.

(pos. feedback) => daisies extinct. Solar luminosity

T

% daisy cov.

Min. T for daisy survival

Max. T for daisy survival

Page 14: Chapter 3   Daisyworld

ENSC 425/625 Chapter 3UNBC 14

Lessons from Daisyworld•Despite change in forcing, climate sys. can

counter part of the change by negative feedback loops.