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Title: Climate Modeling: MEA-719 DATE OF EXAM: MAY 05, 2003 TIME OF EXAM: 9-11am


1
Climate Modeling MEA-719 DATE OF EXAM MAY 05,
2003TIME OF EXAM 9-11am
  • REVIEW FOR FINAL EXAM

2
Grading scheme
  • Homework assignments 20
  • Mid-term test 20
  • Final exam 30
  • Term paper 30 (10o/20w)

3
Organization of the Course
  • Course divided into the following components
  • International climate research organizational
    structure
  • Climate models
  • Climate model predictions (SIP Paleo climate
    CC projections)
  • Climate modeling (observational)
  • Climate modeling (prediction)
  • Climate modeling applications (end-user)

4
Main Topics Covered
  • TOPIC 1 International organization of climate
    research and applications programs
  • TOPIC 2 SESONAL-TO-INTERANNUAL VARIABILITY
    PREDICTABILITY OF THE GLOBAL OCEAN-ATMOSPHERE-LAND
    SYSTEM (GOALS)observations-diagnosis-models-appl
    ications
  • ENSO (G1)
  • VARIABILITY OF THE ASIAN-AUSTRALIAN MONSOON
    SYSTEM (G2)
  • VARIABILITY OF THE AMERICAN MONSOON SYSTEM
    (VAMOS-G3)
  • VARIABILITY OF THE AFRICAN CLIMATE SYSTEM
    (VACS-G4)
  • TOPIC 3 DECADAL TO CENTENNIAL TIME SCALES
    (DecCen)
  • NORTH ATLANTIC OSCILLATION (D1)
  • TROPICAL ATLANTIC VARIABILITY(D2)
  • ATLANTIC THERMOHALINE CIRCULATION (D3)
  • TOPIC 4 ANTHROPOGENIC CLIMATE CHANGE

5
Chronology of Lectures for MEA-719
  • Lecture Notes for Lecture 1 Introduction
  • Lecture Notes for Lecture 2 International
    organization of global climate research programs
  • Lecture Notes for Lectures 3 4 Climate models
    (global and regional)
  • Lecture Notes for Lecture 4 Methods for solving
    Model Equations
  • Lecture Notes for Lecture 5 Spectral Method for
    solving Model Equations
  • Lecture Notes for Lecture 6 Semi-Lagrangian
    Method for solving Model Equations
  • Lecture Notes for Lecture 7 Model Skill in
    Predicting ENSO
  • Lecture Notes for Lecture 8 Value and Skill of
    Climate Prediction Models
  • Lecture Notes for Lecture 9 African and European
    Climate Variability
  • Mid-term exam
  • Lecture Notes for Lecture 10 EOF Method
  • Lecture Notes for Lecture 11 Asian Summer
    Monsoon
  • Lecture Notes for Lecture 12 Variability of the
    American Monsoon System (VAMOS)
  • Lecture Notes for Lecture 12 Variability of the
    American Monsoon System (VAMOS)-supplement
  • Lecture Notes for Lecture 13 Anthropogenic
    Climate Change (ACC)
  • Lecture Notes for Lecture 14 Review for MEA-719

6
Guiding Questions
  • Should be familiar with all the guiding
    questions given at the beginning of the class
    notes for each major course topic

7
  • International organization of climate programs
  • Basic structure of the CLIVAR- World Climate
    Research Program - WCRP (see schematic diagram
  • Scientific functions of each principal component

8
Organization
  • WCRP oversees coordination of several key areas
    of climate variability
  • CLIVAR oversees co-ordination of the physical
    component of climate variability
  • Components (or Panels) each has an agenda,
    typically about 12 experts from all around the
    World, provide guidance to the international
    climate community in its particular area

9
Methods of Model and Observational Data Analyses
  • Time evolution of the anomalies
  • EOF method
  • Time series pattern correlation analysis
  • Root mean square error analysis
  • Hit/false alarm rates ( ROC)
  • Decision modeling (added value)

10
EOF Method
  • Need to be familiar with the primary steps for
    implementing the EOF method

11
Main Steps for Implementing EOF Method
  1. Construction of standardized data matrix
  2. Construction of covariance or correlation matrix
    (R)
  3. Solve characteristic equation for the
    covariance/correlation matrix to obtain eigen
    value/eigen vector pairs
  4. Determine cutoff for noise signal E0Fs. A
    rule of thumb is to retain only those components
    with variance (?) greater than one or that
    explain at least a proportion 1/p of the total
    variance. This rule doesnt always work more
    sophisticated criteria exist.

12
Main Steps (continued)
  • Plot (i) Histogram for eigen values
    separation between noise signal modes may
    show
  • (ii) E0F patterns for dominant modes
  • (iii) E0F time series for dominant modes
  • 6. If needed reconstruct data matrix by
    combining contribution of a subset of eigen
    modes. This is one way of filtering the original
    data set by ignoring the noise modes

13
Construction of E0F Time series
Correlation Matrix
Data
data map at tk(k Column)
Patterns
.
E0Fi , amp 1 Var?1
tn
amp (E0Fi , tk)
E0Fi , ampi Var?i
tk
t1
tn
E0Fi , ampp Var?p
t1
tn
14
Decision Models
  • (i) Derivation of simple decision model
  • (ii) Main assumptions (concept of ensemble
    forecasting)
  • (iii) Interpretation extreme conditions

15
Palmers Decision Model
USER SECTOR
MODEL HINDCAST
MET. OBS
Define (E) Identity C L
Forecast (E) Specify (Pt)
Obs (E) Compute
Region 1
OCCURANCE Fst No ? ? Yes ? ? No
Yes
Region 2
Region 9
ROC
H
F
Perfect
Climatology
See fig.
See fig.
DECISION IF IS IMPORTANT TO SECTOR
16
Models
  • - AGCMs/OGCMS/AOGCMS
  • - Vorticity equation model
  • (i) Basic assumptions, (ii) terms in governing
    equations, and (iii) simple numerical schemes (in
    class reviewed centered differencing scheme)

17
difference between Spectral Finite Difference
Methods
  • Finite Difference Method
  • Local such that represents the value of
  • at a particular point in space
  • Finite difference equations determine the
    evolution
  • Spectral
  • Method
  • Based on global functions
  • Basis functions determine the amplitudes and
    phases such that when summed up determine spatial
    distribution of dependant variables

18
Mathematical forms and main properties of basic
numerical schemes - eulerial-
semi-Lagrangian- explicit- semi-implicit
19
Building blocks of simple spectral barotropic
model and main components of typical prediction
cycle
20
Interannual Decadal Variability
  • Climatology - Global annual cycle (e.g.,
    rainfall)
  • Variability ( mechanism where known) for all
    primary regions - location of dominant signal
  • Model capabilities and deficiencies based on
    model vs observations) with emphasis on the
    following
  • ENSO AA-Monsoon
  • VAMOS (North America)
  • Europe
  • Africa

21
Current performance of models for ENSO
  • (i) Both statistical and dynamical models produce
    useful tropical SSTA forecasts for the peak phase
    of ENSO up to two seasons in advance.
  • (ii) A consensus forecast (i.e. an ensemble
    across prediction systems) is remarkably
    skillful, whereas an ensemble of realizations of
    a single prediction system improves the skill
    only marginally.
  • (iii) The periods of retrospective forecasting
    are too short in terms of distinguishing between
    the skill scores of the various prediction
    systems.
  • (iv) Models predict the sign of extreme events
    well, but sometimes predict warm or cold events
    when the observations call for normal conditions.
  • (v) Consistency among forecasts initialized one
    month apart is not a good a priori measure of
    forecast skill.

22
Current performance of models for the AA-Monsoon
  • - Models have smaller pattern correlations and
    larger rmsd relative to the observational
    uncertainty
  • The errors among the models are larger than the
    uncertanity in the observations
  • EOF-1 associated with the northward shift of
    the Tropical Convergence Zone (TCZ)
  • EOF-2 associated with the southward shift of
    the Tropical Convergence Zone (TCZ)
  • Models are realistic in their representation of
    EOF-2
  • Discrepancies east of 100E
  • Models fail to capture extension of enhanced
    rainfall to the South China Sea where the EOF-2
    mode is deficient

23
Different strategies of using models to
understand climate variability
  • Africa
  • South America
  • Asia

24
Climate Change
  • Should be familiar with the main steps involved
    in the assessment of the understanding of climate
    change, including how scenarios of human
    activities can cause such changes, future
    projections
  • Current state of understanding for _at_ step

25
Summary of IPCC Assessment Activities Familiarit
y with Sequence of activities
26
KEY FINDINGS
  • Palaeoclimatic reconstructions for the last
    1,000 years indicate that the 20th century
    warming is highly unusual, even taking into
    account the large uncertainties in these
    reconstructions

Observations vs Observations
27
KEY FINDINGS
Observations vs Models (natural variability)
  • The observed warming is inconsistent with model
    estimates of natural internal climate
    variability. It is therefore unlikely (bordering
    on very unlikely) that natural internal
    variability alone can explain the changes in
    global climate over the 20th century

28
KEY FINDINGS
Observations vs Models (with external forcing)
  • The observed warming in the latter half of the
    20th century appears to be inconsistent with
    natural external (solar and volcanic) forcing of
    the climate system.

29
KEY FINDINGS
Observations vs. Models (with external forcing)
  • Anthropogenic factors do provide an explanation
    of 20th century temperature change.

30
KEY RESULTS
  • SAR-1995 Concluded that, The balance of
    evidence suggests that there is discernable human
    influence on global climate
  • TAR-2001 Concluded that, There is new
    stronger evidence that most of the warming
    observed over the last 50 years is attributable
    to human activities

31
MEA-719 Term Paper Assignment May/01/2003
  • Write a report on the following climate aspects
    for the country assigned to you.
  • Geographical location and features of the country
  • National meteorological observational network
  • Main characteristics of the mean climatic
    conditions
  • Dominant modes and sources of climate variability
  • Performance of current dynamical models in
    simulating and predicting the climate?
  • Deficiencies of dynamical models that account for
    inadequacies in the simulation of climate?
  • How well the climatic impacts of the 2002/2003
    ENSO were predicted for your country
  • National climate research programs
  • Involvement in international climate programs
  • The report should not exceed 6 pages of text and
    2 pages of diagrams. The report should have a one
    paragraph summary, an introduction, main body of
    the text, conclusions, and references. The
    deadline for submitting the reports is
    May/01/2003. You will be expected to give a power
    point presentation on May/01/2003. The countries
    will be assigned in a ballot.
  • Give all references and sources of your
    information (not part of page limit)
  • Your search for information may include (i) the
    CLIVAR WebPages for country summaries
    http//www.clivar.org/publications/other_pubs/cli
    var_conf/clivar_conf.htmNAT, (ii) publications
    and websites referenced in the course, and (iii)
    other sources.

32
Country Assignments
  • (1) Chenjie Huang Tanzania
  • (2) Ryan Boyles India
  • (3) Katie Robertson Canada
  • (4) Shu-Yun Chen Argentina

33
Schedule for Term Paper Oral Presentation15
minutes _at_ presentation May 01, 2003, 11.20-12.35
  • (1) Chenjie Huang 11.20-11.35
  • Break 5 minutes
  • (2) Ryan Boyles 11.40-11.55
  • Break 5 minutes
  • (3) Katie Robertson 12.00-12.15
  • Break 5 minutes
  • (4) Shu-Yun Chen 12.20-12.35
  • Note The deadline for submitting the term paper
    write-up reports is May/01/2003
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