Title: Basic definitions, terms, e.g., Climate, climatology, anomaly, teleconnection,
1Mid-course overview(NB overview a guide but not
necessarily everything)
Chapter 1. Intro. Review elements include
- Basic definitions, terms, e.g., Climate,
climatology, anomaly, teleconnection, - Trace gases, anthropogenic increase
- Perspective from paleoclimate on where fossil
fuels come from, some idea of time scales,
natural variability, are recent changes
unusual,.. - ENSO material, mostly as comes back in chpt 4.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
21.1 Climate dynamics, climate change and climate
prediction
- Climate average condition of the atmosphere,
ocean, land surfaces and the ecosystems in them
(includes average measures of weather-related
variability, e.g. storm frequency) - Weather state of atmosphere and ocean at given
moment. - Average taken over January of many different
years to obtain a climatological value for
January, etc.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
3- Climate change
- occurring on many time scales, including those
that affect human activities. - time period used in the average will affect the
climate that one defines. - e.g., 1950-1970 will differ from the average from
1980-2000. - Climate variability
- essentially all the variability that is not just
weather. - e.g., ice ages, warm climate at the time of
dinosaurs, drought in African Sahel region, and
El Niño.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
4- Global warming predicted warming, associated
changes in the climate system in response to
increases in "greenhouse gases" emitted into
atmosphere by human activities. - Greenhouse gases e.g., carbon dioxide, methane
and chlorofluorocarbons trace gases that absorb
infrared radiation, affect the Earth's energy
budget. - warming tendency, known as the greenhouse effect
- Climate prediction endeavor to predict not only
human-induced changes but the natural variations.
e.g., El Niño - Climate models
- Mathematical representations
- of the climate system
- typically equations for temperature,
- winds, ocean currents and other climate
- variables solved numerically on computers.
-
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
5- El Niño
- largest interannual (year-to-year) climate
variation interaction between the tropical
Pacific ocean and the atmosphere above it. - a prime example of natural climate variability.
- first phenomenon for which the essential role of
dynamical interaction between atmosphere and
ocean was demonstrated.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
6- Teleconnections remote effects of El Niño (or
other regional climate variations). - Anomaly departure from normal climatological
conditions. - calculated by difference between value of a
variable at a given time, e.g., pressure or
temperature for a particular month, and
subtracting the climatology of that variable. - Climatology includes the normal seasonal cycle.
- e.g., anomaly of summer rainfall for June, July
and August 1997, average of rainfall over that
period minus averages of all June, July and
August values over a much longer period, such as
1950-1998. - To be precise, the averaging time period for the
anomaly and the averaging time period for the
climatology should be specified. - e.g., monthly averaged SST anomalies relative to
1950-2000 mean.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
7Table 1.1
1.4 Global change in recent history
Air main constituents Formula Concentration
Nitrogen N2 78.08
Oxygen O2 20.95
Water H2O 0.1 to 2
Trace gas name Concentration (in 2004)
Carbon dioxide CO2 377 (parts per million) ppm, 0.038
Methane CH4 1.75 ppm
Nitrous oxide N2O 0.32 ppm
Ozone O3 0.000251 ppm (atm. average) (10 ppm max in stratosphere)
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
8Carbon dioxide concentrations since
1958,measured at Mauna Loa, Hawaii.
Figure 1.1
- Annual, interannual variations
- biological impacts on carbon cycle
- Trend due to fossil fuel emissions.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
9Figure 1.2
Concentration of various trace gasesestimated
since 1850
- Methane Cattle, sheep, rice paddies, fossil fuel
by-product wetlands, termites (parts per
billion). - Nitrous Oxide biomass burning, fertilizers?
- Chlorofluorocarbons man-made, zero before 1950
(parts per trillion).
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
10Figure 1.3
Global mean surface temperatures estimated since
preindustrial times
- Anomalies relative to 1961-1990 mean
- Annual average values of combined near-surface
air temperature over continents and sea surface
temperature over ocean. - Curve smoothing similar to a decadal running
average. - From University of East Anglia Climatic Research
Unit, Brohan et al. (2006).
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
111.5 El Niño An example of natural climate
variability
- ENSO El Niño/Southern Oscillation.
- Contd in Chpt 4
- El Niño is associated with warm phase of a
phenomenon that is largely cyclic. - La Niña for the cold phase.
- El Niño arises in tropical Pacific along the
equator. - Changes in sea surface temperature, ocean
subsurface temperatures down to a few hundred
meters depth, rainfall, and winds ocean-atmos.
interaction! - Variations in the Pacific basin within about
10-15 degrees latitude of the equator are the
primary variables.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
12Paleoclimate A few climate notes with Geological
time scale
Figure 1.12
- Very distant past--- Myrmillions of years
- Key points
- Climate can vary substantially, on all timescales
- Long periods in deep past with warmer climate
than present ( higher est. CO2 ) - deposition over 100s of millions of years
sequesters carbon dioxide as fossil fuels (oil,
coal, natural gas) - return of this CO2 to atmosphere occurring over
very short period.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
13Antarctic ice core records of CO2, deuterium
isotope ratio variations (dD), and Antarctic air
temperature inferred from dD
Figure 1.13
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
14Chapter 2 Basics of Global Climate
- Review elements include
- Basic concepts and terminology that tend to recur
later - E.g., albedo, moist convection, easterly winds
2.1 Components and phenomena in the climate system
- Climate processes
- solar radiation tends to get through the
atmosphere ocean heated from above Þ stable to
vertical motions. - warm surface layer, colder deep waters
- mixing near ocean surface Þ upper mixed layer
50 m - mixing carries surface warming down as far as
thermocline, layer of rapid transition of
temperature to the colder abyssal waters below
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
15Satellite image based on visible light with 5x5
grid overlay
Figure 2.2
Courtesy of NASA
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
16The parameterization problem
- For each grid box in a climate model, only the
average across the grid box of wind, temperature,
etc. is represented. - The average of smaller scale effects has
important impacts on large-scale climate. - e.g., clouds primarily occur at small scales, yet
the average amount of sunlight reflected by
clouds affects the average solar heating of a
whole grid box. - Parameterization representing average effects of
scales smaller than the grid scale (e.g., clouds)
as a function of the grid scale variables (e.g.
temperature and moisture) in a climate model.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
172.2 Basics of radiative forcing
- Solar radiation input Infrared radiation (IR) is
the only way this heat input can be balanced by
heat loss to space - Since IR emissions depend on the Earth's
temperature, the planet tends to adjust to a
temperature where IR energy loss balances solar
input - Blackbody radiation approximation for how
radiation depends on temperature
- Total energy flux integrated across all
wavelengths of light - R sT4
- Full climate models do detailed computation as a
function of wavelength, for every level in the
atmosphere, - Trace gases absorb IR at wavelengths where O2,
N2 ineffective.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
18Pathways of energy transfer in a global average
2.3 Globally averaged energy budget
Figure 2.8
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
19- Greenhouse effect
- The upward IR from the surface is mostly trapped
in the atmosphere, rather than escaping directly
to space, so it tends to heat the atmosphere. - The atmosphere warms to a temperature where it
emits sufficient radiation to balance the heat
budget, but it emits both upward and downward, so
part of the energy is returned back down to the
surface where it is absorbed. - This results in additional warming of the
surface, compared to a case with no atmospheric
absorption of IR.
- Atmosphere emits IR downward Þ absorbed at
surface.
- Both gases and clouds contribute to absorption of
IR and thus to the greenhouse effect.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
20Pathways of energy transfer in a global average
(cont.)
- At the top of the atmosphere, in the global
average and for a steady climate - IR emitted balances incoming solar.
- Global warming involves a slight imbalance
- a change in the greenhouse effect Þ slightly less
IR emitted from the top (chap. 6). - small imbalance Þ slow warming.
- Three roles for clouds and convection
- heating of the atmosphere (through a deep layer)
- reflection of solar radiation (contributing to
albedo) - trapping of infrared radiation (contributing to
the greenhouse effect)
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
212.4 Gradients of rad. forcing and energy
transport by atm.
- Differences in input of solar energy between
latitudes Þ temperature gradients. - These gradients would be huge if it were not for
heat transport in ocean atmosphere and heat
storage in ocean.
Figure 2.9
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
22Latitude structure of the circulation (cont.)
- Hadley cell thermally driven, overturning
circulation, rising in the tropics and sinking at
slightly higher latitudes (the subtropics). - Explanations of this in chpt. 3
- Relation to observations
- rising branch assoc. with convective heating and
heavy rainfall subtropical descent regions,
little rain.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
23 Figure 2.13
- Intertropical convergence zones (ITZCs) or
tropical convection zones heavy precipitation
features deep in the tropics, (convergence refers
to the low level winds that converge into these
regions). - Monsoons tropical convection zones move
northward in northern summer, southward in
southern summer, especially over continents. - Not just a function of latitude, e.g., strong
convection over tropical western Pacific, little
over cold eastern Pacific Walker circulation
along equator
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
24 Figure 2.16
- Equatorial cold tongue along the equator in the
Pacific. - maintained by upwelling of cold water from below.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
25Equatorial Walker circulation
Figure 2.14
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
26Ocean vertical structure
Figure 2.18
- Ocean surface is warmed from above Þ lighter
water over denser water (stable
stratification). - Deep waters tend to remain cold
- on long time scales, import of cold waters from a
few sinking regions near the poles maintains cold
temperatures.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
27The thermohaline circulation
Figure 2.19
- Salinity (concentration of salt) affects ocean
density in addition to temperature. - Waters dense enough to sink cold and salty
- Thermohaline circulation deep overturning
circulation is termed the (thermal for the
temperature, haline from the greek word for salt,
hals).
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
28The carbon cycle
Figure 2.21b
Values from Denman et al. , IPCC (2007) format
follows Sarmiento and Gruber , Physics Today
(2002).
- Fossil fuels 6.4 PgC/yr (1990s) (incl. 0.1 PgC/yr
cement production) - 40 coal, 40 from oil and derivatives such as
gasoline, 20 from natural gas - 1.6 PgC/yr land-use change e.g., deforestation
to agricultural (smaller C storage) - 1990s anthropogenic emissions 8 PgC/yr (6.4
fossil fuels 1.6 land use change) - Fortunately, less than half remains in the
atmosphere - 2.2 PgC/yr increased flux into ocean 2.5
PgC/yr taken up by land vegetation
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
29Fossil fuel emissions and increases in
atmospheric CO2 concentrations
Figure 2.22
Values are from Denman et al., IPCC (2007)
format follows Sarmiento and Gruber , Physics
Today (2002).
- Fossil fuel emissions converted to CO2
concentration change if all remained in the
atmosphere (1 ppm for each 2.1 PgC) rising - Actual rate of accumulation (change in
concentration each year all positive rising
concentration, but variable rate of increase) - Variations primarily due to land biosphere, e.g.,
droughts assoc with ENSO - Accumulation rate 55 of fossil fuel emissions
on average
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
30Chapter 3 Physical Processes in the Climate
System
Review elements include
- Where do we get the equations in climate models
(conservation of momentum, energy, mass,eq of
state) - Main balances from these equations especially as
we apply them to explain important climate
features - PGF vs Coriolis
- Thermal circulation, thermal expansion
- Upwelling,
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
313.1 Conservation of Momentum
Only in vertical
- Coriolis force due to rotation of earth
(apparent force). - PGF pressure gradient force. Tends to move air
from high to low pressure. - Fdrag friction-like forces due to turbulent or
surface drag.
Use force per unit mass for atm/oc.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
32Coriolis force (cont.)
- Turns a body or air/water parcel to the right in
the northern hemisphere to the left in the
southern hemisphere. - Exactly on the equator, the horizontal component
of the Coriolis force is zero - Acts only for bodies moving relative to the
surface of the Earths equator and is
proportional to velocity.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
33Schematic of geostrophic wind and wind with
frictional effects
Figure 3.4
Geostrophic balance At large scales at
mid-latitudes and approaching the tropics the
Coriolis force and the pressure gradient force
are the dominant forces (for horizontal motions)
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
34Section 3.1 Overview
- An approximate balance between the Coriolis force
and the pressure gradient force holds for winds
and currents in many applications (geostrophic
balance) (Fig. 3.4). - The Coriolis force tends to turn a flow to the
right of its motion in the Northern Hemisphere
(left in the Southern Hemisphere) the pressure
gradient force acts from high toward low
pressure. - The Coriolis parameter f varies with latitude
(zero at the equator, increasing to the north,
negative to the south) this is called the
beta-effect (?? rate of change of f with
latitude). - In the vertical direction, the pressure gradient
force balances gravity (hydrostatic balance).
This allows us to use pressure as a vertical
coordinate. Pressure is proportional to the mass
above in the atmospheric or oceanic column.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
35 Figure 3.5
Application thermal circulation
-
- Tropics (Hadley circ) subtropics
- West Pacific (Walker circ.) East Pacific
- relatively low pressure (at given height) at
low levels in warm region PGF toward warm region
(near surface)
e.g.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
36Section 3.2 Overview
- Atmos relationship of density to pressure and
temperature from ideal gas law - Ocean density depends on temperature (warmer
less dense, e.g. sea level rise by warming)
salinity (saltier more dense). - Thermal circulations (Fig. 3.5) warm atmospheric
column has low pressure near the surface and
high pressure aloft relative to pressure at same
height in a neighboring cold region. Reason see
Fig. 3.5 - PGF near surface toward warm region Coriolis
force may affect circulation but warm region
tends to have convergence rising. e.g. Walker,
Hadley circulations - sea level rise by thermal expansion density
changes by given fraction (thermal expansion
coefficient) so sea level rise proportional to
depth of column that warmsdT e.g., deep vs
upper ocean
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
37Section 3.3 Overview
- Ocean time rate of change of temperature of
water parcel given by heating - for a surface layer net surface heat flux from
the atm. minus the flux out the bottom by mixing - Atmosphere Temperature eqn. similar to ocean
but - when an air parcel rises, temperature decreases
as parcel expands towards lower pressure. - Quickly rising air parcel (e.g. in thermals)
little heat is exchanged - temperature decreases at 10 C/km (the dry
adiabatic lapse rate).
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
38Section 3.3 Overview (cont.)
- Time derivatives following parcel hide
complexity of the system the parcels themselves
tend to deform in complex ways if followed for a
long time. - Results in the loss of predictability for
weather. - The time derivative for temperature at a fixed
point is obtained by expanding the time
derivative for the parcel in terms of velocity
times the gradients of temperature (advection). - Similar procedure applies in other equations.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
39Coastal upwelling e.g., Peru northward wind
component along a north-south coast
Figure 3.9
- Drag of wind stress tends to accelerate currents
northward - Coriolis force turns current to left in S. Hem
- momentum eqn.
- u away from coast horizontal divergence
upwelling from below thru bottom of surface
layer 50m - Continuity eqn.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
40Processes leading to equatorial upwelling
Figure 1.7
- Wind stress accelerates currents westward
- wind speed fast relative to currents, so
frictional drag at surface slows the wind but
accelerates the currents
- Just north of Equator small Coriolis force turns
current slightly to right (south of Equator to
the left) divergence in surface layer
balanced by upwelling from below
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
41Figure 3.11
3.4e Conservation of warm water mass in idealized
layer above thermocline
warm less dense
cold dense
- Warm light water above thermocline at depth h
- Horizontal divergence/convergence in upper layer
movement of thermocline
approx. H mean
thermocline depth,
D vertical avg. thru layer
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
42Section 3.5 Overview
- Conservation of mass gives equations for water
vapor (atmosphere) and salinity (ocean) and
other things, e.g. ice/snow - water vapor main sinks moist convection
precipitation source surface evaporation
(transport in between) - Salinity at the ocean surface is increased by
evaporation and decreased by precipitation. - latent heat of condensation water vapor sink
gives heating in clouds (connecting mass and
energy equations) - Latent heat of melting important to surface mass
balance of ice (or snow), e.g., application to
time needed to melt an ice sheet by surface heat
flux imbalance W/m2 vs kg/m2 J/kg
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
43Section 3.6 Overview
- Saturation of moist air depends on temperature
according to Figure 3.12. Relative humidity gives
the water vapor relative to the saturation value. - A rising parcel in moist convection decreases in
temperate according to the dry adiabatic lapse
rate until it saturates, then has a smaller moist
adiabatic lapse rate. The temperature curve in
Figure 3.13 (the moist adiabat) depends on only
the surface temperature and humidity where the
parcel started. - If this curve is warmer than the temperature at
upper levels, convection typically occurs.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
443.7 Wave Processes in the Atmosphere and Ocean
Overview
Skim for qualitative background for chpt 4.
- Waves play an important role in communicating
effects from one part of the atmosphere to
another. - Rossby waves depend on the beta-effect change
of coriolis force with latitude. Their inherent
phase speed is westward. In a westerly mean flow,
stationary Rossby waves can occur in which the
eastward motion of the flow balances the westward
propagation. Stationary perturbations, such as
convective heating anomalies during El Nino, tend
to excite wavetrains of stationary Rossby waves.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
45Chapter 4El Nino
Review elements include
- Tropical Pacific climatology as it sets the stage
for ENSO - Schematics of ENSO (but with sense of how these
connect to observations seen earlier) - Feedbacks that strengthen El Nino/La Nina
(Bjerknes hypothesis feedbacks) - Linkage between sea surface height, thermocline
depth, and pressure gradients in the upper ocean
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
46December 1997 Anomalies of sea surface
temperatureduring the fully developed warm phase
of ENSO
Figure 1.7
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
47Figure 4.2 (Chapter 4 preview)
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
48The Bjerknes feedbacks (warm phase)
Figure 4.3
- Positive feedback loop reinforces initial anomaly
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
49Commonly used index regions for ENSO SST anomalies
Figure 1.5
- When SST in the Niño-3 region is warm during El
Niño, the SOI tends to be negative, i.e.,
pressure is low in the eastern Pacific relative
to the west. - Pressure gradient tends to produce anomalous
winds blowing from west to east along the
equator. - Reverse during periods of cold equatorial Pacific
SST (La Niña).
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
50Nino-3 index of equatorial Pacific sea surface
temperature anomalies and the Southern
Oscillation Index of atmospheric pressure
anomalies
Figure 1.6
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
51December 1997 Anomalies of sea level
heightduring the fully developed warm phase of
ENSO
Figure 1.10
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
52Idealized upper ocean layer
4.4 Pressure gradients in an idealized upper layer
Figure 4.4
- Sea surface height ? thermocline depth cm vs.
m - PGF from regions of deep thermocline (high sea
surfacehigh pressure above thermocline) toward
regions of shallower thermocline
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
53Response of the ocean to a westerly wind anomaly
Re Onset and demise of El Niño warm phase
Figure 4.13
Wind anoms currents
- To east of the wind anomalies, equatorial jet
(Kelvin wave) extends east, deepening thermocline
(H) - (recall warms SST)
- To west, inflow of water to jet (in oc. upper
layer) comes from off the equator (but little
effect on SST) - shallow thermocline in west extends westward
(Rossby wave), as mass transferred to east by jet - when reaches western boundary, can no longer
supply mass by extending shallow region - Weakening of jet extends eastward, ending warm
phase - As wind anomalies weaken, shallow thermocline
extends eastward transition to cold phase
Deep Thermocline anoms
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
54Two positions of the thermocline,
indicatingregion of thermocline anomalies
Figure 4.5
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
55The transition into the 1997-98 El Niño warm
phase (Apr. 1997)
Figure 4.8b
Slowly evolving thermocline depth anomalies (
subsurface temperature anoms) affect eastern
Pacific SST later. Key to predictability.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
56The transition into the 1997-98 El Niño warm
phase (Sep. 1997)
Figure 4.8c
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
57The transition into the 1997-98 El Niño warm
phase (Jan. 1998)
Figure 4.8d
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
58Basis for ENSO forecasts and Limits to skill
- weather unpredictable beyond two weeks
- But interaction with the slowly evolving ocean
(both in Bjerknes feedbacks and delayed effects
of Western Pacific thermocline anomalies) - permits prediction of ENSO Eastern Pacific
SST anomalies (and associated atmospheric
anomalies) up to 9 months ahead - Forecast skill tends to degrade with longer lead
time for forecast - Loss of skill in ENSO forecasts
- Imperfections in the forecast system
- -e.g., model errors, scarcity of input data (can
be improved, if ) - Fundamental limits to predictability
- - weather noise acts like a random forcing
on slow ocean-atmosphere interaction - e.g., SST gradient determines average strength
of Tradewinds. But in a particular month,
transient weather events can cause equatorial
Easterlies to differ from this
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP
59An ensemble of forecasts duringthe onset of the
1998-99 La Niña
- Start coupled model from different ocean initial
conditions (leading also to changes in atm. ) - Initial differences grow Þ ensemble of prediction
runs - Ensemble spread gives estimate of uncertainty
- Spread tends to grow with time (due to weather
noise coupled feedbacks) - Ensemble mean gives best estimate
Figure 4.18
Courtesy of the European Centre for Medium-range
Weather Forecasting.
Neelin, 2011. Climate Change and Climate
Modeling, Cambridge UP