MANUAL DE INTRODUCCIÓN AL
por Gerald E. Marsh,
Doctor en Física, del Panel de Asesores del Centro Nacional de Investigación de Políticas Públicas. Gerald Marsh es un Físico del Argonne National Laboratory. Las opiniones expresadas en este Manual son suyas. El Dr. Marsh puede ser contactado en firstname.lastname@example.org Este informe es una actualización del Análisis de Política Nacional #361: "A Global Warming Primer" por Gerald Marsh, publicado por el The National Center for Public Policy Research en Septiembre 2001
El propósito de este Manual de Introducción es ayudar al lector determinar si nuestra comprensión del clima de la Tierra es adecuado para predecir efectos a largo plazo del dióxido de carbono liberado por el continuo uso de los combustibles fósiles. La respuesta es NO sin consecuencias. Si nuestra comprensión es adecuada, y las conclusiones del Panel Intergubernamental del Cambio Climático (IPCC) son válidas, entonces se debe aceptar al Protocolo de Kyoto de 1997, reforzarlo e implementarlo.
Los recortes a largo plazo de las emisiones de dióxido de carbono tendrán un enorme impacto sobre todos, pero de manera especial en el mundo en desarrollo donde reside la mayor parte de la población. Si las emisiones de CO2 son dañinas, el desarrollo al estilo del mundo occidental debe ser desalentado activamente, si no impedido. Más de dos mil millones adicionales de seres humanos que usen la energía derivada de los combustibles fósiles a los niveles actuales de consumo de Occidente, liberarán inaceptables cantidades de dióxido de carbono. Si los países en desarrollo van a retener su actual consumo per cápita de energía, deben incrementar dramáticamente el uso de la energía nuclear para la producción de su electricidad.
Las fuentes de energía alternativa como las solares, eólicas, etc., simplemente no tienen el potencial de permitir el consumo de energía a los niveles actuales. Por ello es que los proponentes de estas fuentes de energías aparean su prédica a la conservación de la energía. El reemplazo por estas fuentes de energía alternativa de las plantas generadoras de energía de combustibles fósiles o nucleares en el mundo en desarrollo, aunque no imposible, requerírían de masivos cambios sociales, económicos y demográficos.
Si, por el otro lado, las conclusiones del IPCC están basadas en evaluaciones demasiado confidentes en la validez de los modelos computarizados del clima, entonces se debe rechazar al Protocolo de Kyoto porque carece de una base científica seria. Tal tipo de exceso de confianza no es raro en la ciencia. Sólo se necesita señalar a la Fusión en Frío, "polywater", y otros fiascos que no son tan conocidos. Como este Manual demostrará, las predicciones de los modelos climáticos existentes no forman una sólida base científica para decisiones políticas públicas. Esta evaluación puede cambiar en el futuro con la continuada investigación y recolección de información.
A pesar de ello, puede haber muy buenas razones para restringir el uso de los combustibles fósiles y, en particular, el quemado de carbón para producir electricidad. El carbón es un desastre ecológico. Una sola planta de 1.000 MWatt quema más de dos millones de toneladas de carbón anualmente.  Se estima que solamente la polución de las plantas eléctricas que querman carbón, dan por resultado miles de muertes anuales. Esto es a causa de la toxicidad de las emisiones y la escala de las operaciones. Aunque los niveles de radiación no son peligrosos para la población, las plantas de carbón también descargan gran cantidad de materiales radioactivos a la atmósfera que las plantas nucleares aún cuando más del 95% de las cenizas se precipitan, y mucho más si no lo hacen. 
Ciertamente, el petróleo y el gas natural son mucho más limpios que el carbón, pero a menos que se descubran reservas mucho más grandes y a un precio razonable ambos serán demasiado valiosos en el futuro para usarlos en la generación de electricidad. Este manual está organizado en términos de respuestas a una serie de preguntas fundamentales acerca del Calentamiento Global preguntas como: ¿Cuánto calentamiento hubo durante el último siglo, y cómo se compara este calentamiento con las variaciones climáticas del pasado?
Una de las fuentes principales de información es el Informe Final  del Grupo de Tareas No 1 del IPCC, auspiciado conjuntamente por la Organización Meteorológica Mundial y el Programa Para el Ambiente de las Naciones Unidas, publicado por primera vez en 1990. Aunque el IPCC hizo trabajos adicionales después que este informe fue publicado, el documento de 1990 es el que dió forma a gran parte de las bases para las negociaciones del Protocolo de Kyoto de 1997. Otras fuentes usadas en este manual incluyen a la principal literatura científica, incluyendo a las investigaciones publicadas desde 1990, como también la síntesis a término medio del Joint Global Ocean Flux Study,  un programa multidisciplinario que comprende a la biología, física y química del transporte y transformación del carbón en el océano y a lo largo de sus fronteras con la tierra y la atmósfera.
La principal herramienta para el estudio del calentamiento global son los programas numéricos computarizados a gran escala que simulan el acoplamiento entre el océano y la atmósfera. Estos modelos de circulación general del acoplamiento océano/atmósfera se usan para predecir los efectos que tendrá sobre el clima el creciente nivel de dióxido de carbono en la atmosfera. Se supone que este aumento es el resultado de cambios en el uso del suelo y la quema de combustibles fósiles. El impacto de las cambiantes concentraciones atmosféricas del vapor del agua (el principal gas de invernadero) se trata como una realimentación positiva en los modelos climáticos.
Sin embargo, será útil poner primero al tema del cambio climático en una perspectiva histórica.
Cuando en 1976 las concentraciones de CO2 en la atmósfera se habían incrementado un 20% comparadas a los valores pre-industriales, Lowell Ponte escribió en El Enfriamiento (The Cooling)  que "El clima de nuestro planeta se ha estado enfriando durante las últimas tres décadas ... Alguns estaciones de monitoreo dentro del Círculo Polar Ártico informan que la temperatura estuvo cayendo más de 2°C por década durante los pasados treinta años." En el prefacio del libro, Reid A. Bryson, director del Instituto de Estudios Ambientales de la Universidad de Wisconsin en Madison, escribió que:
"No existe ningún acuerdo sobre si la Tierra se está enfriando. No existe un acuerdo unánime si se ha enfriado, o si un Hemisferio se enfrió y el otro se calentó. Se podría pensar que existiría consenso sobre la información y datos que existen, pero no lo hay. No hay acuerdo sobre las causas del cambio climático, o aún por qué no debería cambiar entre los que así lo afirman. Ciertamente no hay ningún consenso acerca de lo que el clima hará en los próximos cien años, aunque hay una opinión mayoritaria que cambiará, más o menos, en uno u otro sentido. De esa mayoría, otra mayoría cree que la tendencia a largo plazo será hacia abajo."
Estaba claro, sin embargo, en otra literatura científica del período que estábamos deslizaándonos hacia una nueva Edad de Hielo.
PREGUNTA: "¿Cuánto calentamiento hubo durante los últimos 100 años, y cómo se compara esto con las variaciones naturales del clima durante los últimos 10,000 años desde la última Edad de hielo?
Durante las edades de hielo del último millón de años, las temperaturas globables variaron unos 10-12°C, y hasta hacen unos 10,000 años, las temperaturas globales promediadas durante las edades de hielo fueron quizás 4°C más bajas que al principio del siglo 20. Las temperaturas globales eran más altas que al principio del siglo 20 en unos 1.3°C durante el Máximo del Holoceno, que se extendió desde hace unos 7,000 años hasta unos 4,000 años antes que hoy. Desde entonces se piensa que las variaciones estuvieron dentro de un rango de 2°C, es decir, dentro de un grado de la temperatura existente a comienzos del siglo 20.
las variaciones de mayor significancia fueron el Período Cálido Medieval, (u Óptimo Climático Medieval) de 1000 DC a 1400 DC, que era más o menos 0.6-0.7°C más cálido que el siglo 20, y el enfriamiento producido entre 1400 DC and 1900 DC. Este período de enfriamiento incluye a la Pequeña Edad de Hielo de 1500 DC a 1700 DC cuando las temperaturas fueron 0.6-0.7°C más frías. Desde 1700 DC hasta 1900 DC, las temperaturas globales fueron unos 0.3°C más bajas que al comienzo del siglo 20, con un rápido aumento hacia el final del siglo.
De modo que desde el año 1000 DC las temperaturas variaron en un rango de 1.5°C, y durante casi los últimos 10,000 años han variado dentro de un rango de 2°C. Esto puede ser considerado la "variación natural" durante estos períodos. El lector debe notar en este punto que las concentraciones de dióxido de carbono en la atmósfera se cree que se mantuvieron constantes antes de 1770, y se han incrementado constantemente desde entonces.
Por consiguiente ninguna de las variaciones naturales antes de 1770 se debieron a cambios en la concentración de CO2 en la atmósfera..
En relación con el promedio de 1951-1980, la variación de las temperaturas globales durante los últimos 100 años (en realidad entre 1860 y 1990) fueron como sigue: :
El rango total de la variación desde 1860 es de unos 0.6°C. Esto es más de tres veces más pequeño que el rango natural de 2°C. El informe más reciente del IPCC pone al calentamiento durante el siglo 20 en 0.6°C, +0.2°C. El rango de incerteza está ahora en el nivel de confianza de 95%, haciendo "muy probable" que la Tierra se haya realmente calentado.  Los modelos de circulación general (MCG) del acoplamiento océano-atmósfera, deben estar entonces en condiciones de duplicar las variaciones de temperatura desde 1860 y, si la suba de 0.6°C durante este período se debe a las actividades humanas, deben probar que estos cambios son el resultado del cambio del uso de suelos y la quema de combustibles fósiles. Debe tenerse en cuenta también que el error en la medición de las temperaturas globales durante el último siglo es de por lo menos +0.1°C.
- 1860-1920 = La temperatura global fue 0.3°C más fría que el promedio.
- 1920-1940 = La temperatura global subió 0.35°C apenas por encima del promedio.
- 1940-1975 = La temperatura global muestra un enfriamiento gradual de quizás 0.1°C.
- 1975-1990 = La temperatura global subió por encima del promedio en 0.3°C.
Debe notarse además que existen discrepancias entre las mediciones de temperaturas hechas en la superficie de la Tierra que muestran una tendencia al calentamiento desde 1979 y las mediciones de los satélites, que no muestran, esencialmente, ninguna tendencia en la tropósfera. Los modelos climáticos, en contradicción con los datos, predicen un calentamiento más pronunciado en la tropósfera media que a nivel de la superficie de la Tierra.
Las variaciones en las temperaturas globales durante los últimos 10,000 años estuvieron en el rango de ±1°C. A causa de que las concentraciones de CO2 en la atmósfera en este tiempo se cree que estuvieron relativamente constantes, el rango de 2°C se debe a otra causas y deben ser consideradas el rango "natural" de la variación de las temperaturas para el período. Entre 1920 y 1940 la temperatura subió 0.3°C; de 1940 a 1975 la temperatura global disminuyó ligeramente mientras las concentraciones de CO2 siguieron creciendo; y la temperatura creció entre 1975 hasta el presente. La suba total de temperatura desde 1869 ha sido de unos 0.6°C, más de tres veces más pequeña que las variaciones naturales ocurridas curante los últimos 10,000 años.
¿Qué es el "Efecto Invernadero"?
Olvídese por un momento de la definición exacta del efecto invernadero. Sin este efecto, la temperatura promedio en la atmósfera baja sería de unos -18°C; con este efecto, la temperatura es +15°C, una diferencia de 33°C. La cuestión clave es: ¿Cuáles son los gases de la atmósfera que causan el Efecto Invernadero? La respuesta es: principalmente el vaopr de agua y el dióxido de carbono. ¿Cuánto calentamiento se debe a cada uno? Como se verá más abajo, las respuestas varían mucho pero el vapor de agua es responsable de la mayor parte del efecto invernadero. El dióxido de carbono es un gas de invernadero menor, pero a pesar de ello es uno importante.
The layer of the Earth's atmosphere from the ground up to an altitude of a few miles is called the troposphere, and the boundary between it and the rest of the atmosphere above is called the tropopause. The tropopause is about 11 miles high at the equator and only about five miles high at the poles. The troposphere is the part of the atmosphere that is responsible for the greenhouse effect, since it contains essentially all of the greenhouse gases. Because the troposphere and the Earth's surface and boundary layer are closely coupled by air motions, they are considered to be a single thermodynamic system. It is for this reason that changes in radiative flux at the tropopause are used to express changes to the climate system. This is discussed in greater detail below.
The energy to warm the Earth comes from the Sun, and its flux is usually measured in watts per square meter (w/m2). The value of this flux at the Earth's distance from the Sun is 1360 w/m2 and is called the "solar constant." We are interested in how much of this is ultimately absorbed, and how it affects the Earth's climate.
Determining how much solar radiation is absorbed by the Earth involves some geometry. As seen from space, the Earth looks like a disk of area pre 2, where re is the radius of the Earth; so when averaged over the whole Earth, which has a surface area of 4pre 2, the amount of radiation incident on the Earth is:
Of this amount, the Earth reflects about 100 w/ m2 back into space (variations depend on cloud cover as well as atmospheric aerosol concentrations), so the net amount absorbed by the Earth is 242 w/m2 averaged over the whole Earth. For the Earth to be in what is known as radiative equilibrium, it must also radiate this amount into space.
Radiative equilibrium can only exist as a longterm global average, since changes in solar radiation, aerosols introduced into the upper atmosphere by large volcanic eruptions, etc., cause short-term fluctuations in the balance, and could result in a changed equilibrium temperature.
The major constituents of the atmosphere, including both water vapor and carbon dioxide, are transparent to visible light. Since sunlight peaks in the visible part of the spectrum, the atmosphere is essentially transparent to incoming radiation from the Sun. The radiation from the Earth, on the other hand, is thermal radiation (long-wavelength infrared) the spectral region where carbon dioxide and water vapor absorb radiation. Carbon dioxide absorbs radiation primarily in a very narrow frequency band, while water vapor absorbs over a much larger spectral range. The details of carbon dioxide absorption are discussed shortly.
The oceans dominate the Earth and its radiation into space. With this understanding, the greenhouse effect, G, is defined as (the units are again w/m2) G = Thermal radiation emitted by the oceans Upward thermal radiation from the tropopause.
That is, the lower atmosphere (troposphere) is assumed to be bounded by the surface of the ocean below and the tropopause above. The greenhouse effect is then the difference in long wavelength infrared radiation emitted by the surface of the ocean and that radiated into space from the top of the troposphere. It is the amount of radiation absorbed by the troposphere between the ocean's surface and the tropopause.
The value of the global mean greenhouse effect G is about 146 w/m2. This value is for a clear sky. Average cloud cover adds another 33 w/ m2 for a total of about 179 w/m2. This trapping of radiation is what causes the troposphere to be 33°C warmer than it would be without the greenhouse effect. How the greenhouse effect affects surface temperature is discussed below.
How much of the greenhouse effect is due to different contributions from water vapor, carbon dioxide and other gases is difficult to determine. Section two of the IPCC report states that:
"Of the atmospheric gases, the dominant greenhouse gas is water vapour. If H2O was the only greenhouse gas present, then the greenhouse effect of a clear-sky mid-latitude atmosphere, as measured by the difference between the emitted thermal infrared flux at the surface and the top of the atmosphere, would be about 60-70% of the value with all gases included; by contrast, if CO2 alone was present, the corresponding value would be about 25%."
Notice that estimates are given for a clear sky, thereby neglecting the contribution from the water vapor in clouds. As noted above, clouds add 33 w/ m2 to the clear-sky greenhouse effect of 146 w/m2, a 23% increase.
Estimates in the literature vary widely. Barry and Chorley  maintain that water vapor accounts for 64% of the greenhouse effect, carbon dioxide 21%, ozone 6% and other trace gases 9%. If the 64% is for a clear sky (consistent with the IPCC estimate), it would not seem to be possible to add the contribution from water vapor in clouds since the percentages given by Barry and Chorley add up to 100%. Jacobson  states that water vapor is responsible for 90% of the greenhouse effect, leaving 10% for carbon dioxide and the other greenhouse gases.
Radiative forcing is defined as the change in net downward radiative flux at the tropopause resulting from any process that acts as an external agent to the climate system; it is generally measured in w/m2. Examples are variations in the amount of solar radiation reaching the Earth and changes in the concentrations of infrared-absorbing gases in the atmosphere.
Increasing the amount of carbon dioxide in the atmosphere by, for example, a factor of two does not double the amount of infrared radiation absorbed by this gas. The reason for this is as follows: Carbon dioxide has three absorption bands at wavelengths of 4.26, 7.52, and 14.99 micrometers (microns). The Earth's emission spectrum, treated as a black body (no atmospheric absorption), peaks at between 15 and 20 microns, and falls off rapidly with decreasing wavelength. As a result, the carbon dioxide absorption bands at 4.26 and 7.52 microns contribute little to the absorption of thermal radiation compared to the band at 14.99 microns.
Natural concentrations of carbon dioxide are great enough that the atmosphere is opaque even over short distances in the center of the 14.99 micron band. As a result, at this wavelength, the radiation reaching the tropopause from above and below the tropopause is such that the net flux is close to zero.
If this were the whole story, adding more carbon dioxide to the atmosphere would contribute nothing to the greenhouse effect and consequently could not cause a rise in the Earth's temperature. However, additional carbon dioxide does have an influence at the edges of the 14.99 micron band.
Because of this marginal effect, the change in forcing due to a change in carbon dioxide concentration is proportional to the natural logarithm of the fractional change in concentration of this gas. Specifically, the IPCC gives
where DF is the change in forcing, and C0 and C are the initial and final carbon dioxide concentrations. This approximation breaks down for very low concentrations and for concentrations greater than 1,000 ppmv, but is valid in the range of practical interest. The Earth's temperature is therefore relatively insensitive to changes in carbon dioxide concentrations, a doubling leading to a DFof only 4.4 w/m2.
The reader should not leave this section thinking that the greenhouse effect is really understood. In fact, simple, basic questions have not yet been answered. Consider what happens if the temperature of the Earth rises: this would lead to more water vapor in the atmosphere, which traps more outgoing thermal radiation, which raises the temperature of the Earth, which leads to more water vapor in the atmosphere, which... This is known as the runaway or super greenhouse effect.
Worse yet, the greenhouse effect increases much faster than linearly with increasing temperature, as will be discussed below. Since the Earth shows no runaway or super greenhouse effect, there must be some negative feedback mechanism in operation. Although there have been many studies of this phenomenon, none has yielded conclusive results.
The runaway greenhouse effect is often associated with the planet Venus, which has a surface temperature of some 477°C. For the Earth, the average global greenhouse effect G is about 179 w/m2 and the absorbed solar radiation is 242 w/m2. Note that the greenhouse effect is less than the absorbed solar radiation. Venus, although it is closer to the Sun and receives twice as much solar radiation as the Earth at the top of its atmosphere, actually absorbs less solar radiation than the Earth (only about 150 w/m2). This is due to its high albedo: Venus reflects some 80% of incoming radiation compared with about 30% for the Earth.
Venus' high surface temperature is not a result of absorbing more energy from the Sun than the Earth does, but rather is due to an enormous greenhouse effect, estimated to be 17,000 w/m2. Could human activities that produce carbon dioxide force the Earth into a runaway greenhouse effect that could lead to a situation similar to that found on Venus? No. The Earth and Venus have many differences, even though they are often referred to as sister planets. The lower atmosphere of the Earth is simply not massive enough to sustain a large greenhouse effect.
The atmosphere of Venus is 96% carbon dioxide, the rest being nitrogen and trace gases. It is 90 times as massive as that of the Earth, resulting in a surface pressure that is also ninety times that of Earth, comparable to the pressure found at a depth of one kilometer in the Earth's oceans. The length of one day on Venus is 243 Earth days, although the cloud tops on Venus rotate some sixty times as fast. Unlike the Earth, almost all of the absorption of incident solar radiation on Venus takes place at an altitude of about 60 kilometers in the upper regions of the clouds. There are no lessons to be learned from Venus about human activities on the Earth.
Return now to Earth, and in particular to the tropics, where absorbed solar radiation exceeds that lost from the Earth-atmosphere system. Heat is transported from the tropics to regions poleward of about 40° N and 40° S latitude, where more radiation is lost to the Earth than gained. This is achieved by a complex set of atmospheric motions driven by the heating differences between the tropics and other parts of the Earth, as well as the Earth's rotation. While radiative equilibrium exists as a global average, not every region of the Earth need be in radiative equilibrium.
To understand the greenhouse effect in the tropics it is important to realize that the effect does not vary linearly with temperature. Rather, it is the normalized greenhouse effect, defined as:
that varies linearly with temperature at least up to a sea surface temperature of 25°C, as will be discussed further below. Here G is the greenhouse effect defined above, TS is the absolute surface temperature, and ó is Stefan-Boltzmann constant.
The emission of thermal radiation by the surface of the Earth (and hence the trapping of this radiation in the troposphere) varies as the fourth power of the surface temperature. This dependence on temperature is true of any object that radiates as a "black body." Dividing G by the fourth power of the temperature "normalizes" G by eliminating this dependence.
If one plots the normalized greenhouse effect (for either a clear or a cloudy sky) as a function of temperature, the relationship is seen to be linear up to a surface temperature of about 25°C. Above this value, there is a rapid, non-linear increase in the normalized greenhouse effect.
Ramanathan and Collins  observed during the 1987 El Niño, when the equatorial Pacific warmed by as much as 3°C, that the total greenhouse effect (defined as the clear-sky atmospheric portion of the effect plus the enhancement due to clouds) increased with surface temperature at a rate that exceeded the rate of increase of radiation emitted from the ocean's surface. At a sea-surface temperature of 27°C, the greenhouse effect was measured to be about 184 w/m2. As the sea-surface temperature increased by 3°C to 30°C, the greenhouse effect rapidly rose by 100 w/m2. They attributed this large increase to optically thick cirrus clouds in the upper troposphere. In response to this runaway greenhouse effect it was proposed that these cirrus clouds limit sea surface temperatures to less than 32°C by shielding the ocean from solar radiation.
Ramanathan and Collins measured two parameters CS and Cl known as the cloud short and long wavelength forcings. CS measures the increase in albedo due to an increase in cloud cover and Cl the increase in absorption of long wavelength radiation by the clouds. Remarkably, in the tropics these generally are equal and opposite so that they cancel.
During normal periods Ramanathan and Collins found that CS = -0.951Cl, so that the clouds had a slight warming effect. However, during the 1987 El Niño they found using data taken during the event that CS = -1.20Cl, yielding a slight cooling, in support of their proposal. They go on to note that in the tropics "It would take more than an order-of-magnitude increase in atmospheric CO2 to increase the maximum SST [Sea Surface Temperature] by a few degrees, in spite of a significant warming outside the equatorial regions. In this regard, the present hypothesis departs considerably from modern general circulation models."
R. T. Pierrehumbert, assuming that CS = -Cl, showed that cirrus clouds cannot prevent the runaway greenhouse effect in the tropics. This would not be the case if there is a substantial departure from the observed cancellation between cloud greenhouse and cloud albedo effects (so that CS = -Cl). He also points out that: "The physical basis of the cancellation is so far unexplained, and the circumstances under which the cancellation will continue to hold in perturbed climates are unknown." While Pierrehumbert claims that the proposed mechanism of Ramanathan and Collins cannot stabilize the greenhouse effect in the tropics, he does note that
"...the cloud longwave and shortwave forcing do not cancel exactly but instead sum up to a small cooling in the course of El Niño fluctuations. Though the residual is small, it is nonetheless comparable to other small forcings driving climate, such as the radiative perturbation due to doubling CO2 [emphasis added]."
The greenhouse effect keeps the lower atmosphere of the Earth about 33°C warmer than would otherwise be the case. Water vapour is the principal greenhouse gas and is responsible for as much as 90% of the greenhouse effect. Although carbon dioxide is a minor greenhouse gas, it is an important one. However, adding carbon dioxide to the atmosphere increases the trapping of heat from the Earth only very slowly; the forcing increasing only with the logarithm of the fractional change in carbon dioxide concentration. Particularly in the tropics, the greenhouse effect has aspects that are not yet fully understood. It would not be possible through human activity to produce a runaway greenhouse effect that could lead to conditions similar to those found on Venus.
Has the solar "constant" varied over the last few centuries, and if so by how much? What fraction of the observed surface temperature rise could be due to a brighter Sun? How well do variations in solar output and surface temperature of the Earth track?
The nominal radiation density (irradiance) from the Sun (1367 w/m2) is called the solar constant. The actual irradiance from the Sun has been monitored by spacecraft since 1978, covering thus far two of the Sun's eleven year cycles.
During that period, the solar output varied over a range of 0.15%. Between the twelfth century Medieval Maximum and the Maunder Minimum20 of 1645-1715 (the time of the Little Ice Age) the brightness of the Sun is estimated to have decreased by 0.5%. Solar-type stars have also been found to have variations of 0.1% to 0.4%. These values seem innocuous, but in fact they have a disproportionately large impact on climate.
As is seen in a later section of this primer, proper treatment of clouds is an important factor in determining the accuracy of climate models. Clouds are composed of condensed water in the form of ice crystals and water droplets, which form around ions in the atmosphere.
The principal source of such ions is cosmic rays, and the intensity of cosmic rays is strongly suppressed by solar activity  (measured by the number of sunspots). Cosmic rays are suppressed during active periods because the changed interplanetary magnetic field and solar wind flow shield the Earth. Thus, a more active Sun not only increases the solar "constant," but increases the amount of sunlight reaching the surface of the Earth by decreasing cloud formation. The predictions of climate models generally do not include variations in the solar constant or its effect on the formation of clouds. However, recent simulations discussed below have attempted to include changes in the solar constant.
A considerable amount of work has now been done on the connection between solar variability and climate. Cliver, et al.  have estimated that from 50-100% of the net global warming of 0.7-1.5°C over the last 350 years (since the Maunder Minimum) was due to an increase in solar irradiance. Crowley and Kim  found that solar variability may explain as much as 30% to 55% of climate variance over time scales of decades to centuries. Reid  estimates that the change in solar output from 1969-70 to 1979-80 was about 4 w/m2, or 0.3% of the total output. Just as was done earlier, when discussing the greenhouse effect, to convert the change in solar output to a change in radiative forcing, one must take into account both the geometry of the earth relative to the sun and how much radiation is reflected by the earth back into space. If the change in radiative forcing is DF, and the change in solar irradiance DI, then:
where 0.31 corresponds to the 31% of solar radiation reflected back into space. So a change in solar irradiance of 4 w/m2, corresponds to a change in radiative forcing of 0.7 w/m2.
From 1890-1984 Friis-Christensen and Lassen found the change in solar output to be about 1 percent,  or more than 13 w/m2 (corresponding to a radiative forcing of 2.2 w/m2). Notice that this is double the estimate given above for the change in solar output between the Mediaeval Maximum and the Maunder Minimum, although the transition then was from a warm to a cool period in contrast to 1890-1984. The IPCC estimates that the change in radiative forcing due to the increase irradiance from the Sun between 1850 and 1990 was only 0.3 w/m2 at the top of the atmosphere (Cliver, et al.), a value far smaller than found by the authors cited above. The value of 0.3 w/m2 is also used in the 2001 IPCC Third Assessment Report (Shanghai Draft 21-01-2001) for changes in radiative forcing due to increasing solar irradiance since 1750.
Using a somewhat different methodology to determine solar irradiance, Lean, et al. find that changes in solar output account for only about half the surface warming since 1860 and one-third of the warming since 1970. They also found a strong correlation of surface temperature with solar irradiance from 1610 to 1800, "suggesting a predominant solar influence during this preindustrial period." Put another way, they found that changes in solar irradiance account for 74% of the variance in northern hemisphere surface temperatures from 1610 to 1800, and 56% of the variance from 1800 to the present.
Climate models do not capture the cooling between 1940 and 1975 (an exception is discussed below). On the other hand, global temperature records closely follow the reconstruction of the Sun's brightness not only from 1940 to 1975 but also over the past 400 years. It should be kept in mind that during the cooling of 1940 to 1975 carbon dioxide concentration in the atmosphere continued to increase monotonically temperature does not simply follow increases in carbon dioxide concentration.
There is evidence that the Sun has variations in output with periodicities of ~70-90 years, ~200 years, and ~2500 years. These solar variations may enter the climate system by affecting the Quasi-biennial Oscillation and the El Niño Southern Oscillation. When the historical record of El Niño events is compared to the record of sunspot numbers, El Niño events are found to be two to three times more frequent when sunspot activity and solar irradiance are low as during the Maunder minimum.
The solar "constant" is not constant. A very significant portion of the global warming over the last century at least half has probably been due to an increase in solar output. Other effects of increased solar activity, such as the impact on cloud formation and El Niño events, are not yet well understood.
How much do climate models predict that the surface temperature of the Earth would change as a result of doubling the concentration of carbon dioxide in the atmosphere?
The IPCC maintains that an instantaneous doubling of carbon dioxide would lead to the Earth absorbing 4 w/m2 more than it emits (globally), so that the temperature would have to rise to maintain radiative equilibrium. This was understood, and the value of 4 w/m2 determined, as early as the nineteenth century.
As for errors, the IPCC states that, "climate models disagreed with detailed calculations by up to 25% for the flux change at the tropopause on doubling CO2." It is not clear if the "detailed calculations" refer to radiative transfer calculations although they also note that radiative transfer models have uncertainties of about ±10%. In fact, there is a significant difference between measurements of energy absorption by water vapor and that predicted by the radiation transfer models used in climate modeling. As a result, "many climate models substantially underestimate the globally averaged short-wavelength absorption compared to atmospheric observations, by as much as 30% of the total atmospheric absorption in the case of clear skies." 
Calculation of the temperature rise at the surface of the Earth uses the following quantities:
F = Global mean infrared radiation leaving the Earth from the top of the atmosphere.
S = Net downward solar radiation at the top of the atmosphere.
The Earth's radiation budget is then S - F. DF, DS, DTS, and DQ are, respectively, changes in F, S, the global mean surface temperature of the Earth and the radiative forcing of the surfaceatmosphere system (4 w/m2 for a doubling of C02).
The radiative forcing, DQ, is actually defined as the net downward radiative flux at the tropopause. For this to be the same as the radiative forcing at the top of the atmosphere, the response time of the stratosphere must be small compared with that of the surface-troposphere climate system. It is assumed here that this is the case.
The formula for the change in global mean surface temperature of the Earth is then:
We consider now the simplest case where the warming due to a doubling of CO2 causes no change in the climate system other than temperature (in particular, no increase in the amount of water vapor). For this case, there is no additional downward flux from the tropopause so that DS = 0. The IPCC gives the value of DF/ DTS as 3.3 w/m2 per °C; so for a radiative forcing of 4 w/m2 we have:
Now DF/ DTS is the change in the upward radiation at the top of the atmosphere for a change .TS in surface temperature. If water vapor is present the IPCC claims this flow change is reduced from 3.3 w/m2 per °C to 2.3 w/m2 per °C. In addition, since water vapor is now present, DS is not really zero and the IPCC gives the value of DS/ DTS as 0.2 w/m2 per °C. With these corrections, the change in surface temperature for a doubling of CO2 becomes:
This is comparable to the change of 1.5°C between the Medieval warm period and the beginning of the 20th century. It does not, however, include the effect of additional cloud cover, which is discussed below.
One cannot ask the question that heads this section without considering water vapor, as we have done above. But there is another form of water that has a major impact on the response of the climate system to a change in carbon dioxide concentration, and this is clouds. Clouds not only contribute to greenhouse warming by absorbing outgoing thermal radiation, but also contribute to cooling by reflecting incoming sunlight and reducing the amount of solar radiation absorbed (as is discussed earlier when considering the runaway greenhouse effect).
The IPCC estimates the amount of outward bound thermal radiation absorbed globally by clouds as 31 w/m2 and the amount of shortwavelength solar radiation reflected as 44 w/m2.
This means that clouds cause a net cooling of the annual global climate system of -13 w/m2 (the minus sign designates a cooling). Harries  gives the net global, time-averaged cooling as -20 w/m2, with a range of 140w/m2 to +50 w/m2. Other models give values in the range of 0 w/m2 to 30 w/m2. The question is: If the amount of carbon dioxide in the atmosphere is doubled, how much will this cooling (the -13 w/m2) change due to the consequent change in cloud cover? Remember, the radiative forcing due to an instantaneous doubling of carbon dioxide is estimated to be 4 w/m2, so the effect of altered cloud cover must be known to much better than this value.
In fact, not even the sign of the change is known! This is not the only problem. Even the basic physics of clouds is not understood. Climate models generally assume that clouds reflect some incident solar radiation but absorb no more than a clear sky would. Recent measurements show that clouds absorb more solar radiation than calculated by the models used to simulate the Earth's climate. The difference is about 22 w/m2, more than five times larger than 4 w/m2. The point is, there are very large uncertainties in current knowledge of the effect that a doubling of carbon dioxide would have on cloud cover, and in turn on climate.
As Harries, referred to above, puts it: "High ice clouds almost certainly have a very significant effect on the cooling of the Earth to space. However, at present, we are almost completely unaware of the true magnitude of this effect, and especially of whether or not climate models correctly predict how this emission might change as a result of global warming."
If the concentration of carbon dioxide in the atmosphere is doubled the global surface temperature, including the feedback effect of water vapor, is expected to rise by about 1.9°C. However, the uncertainties having to do with clouds are so great as to render this figure meaningless.
Over geological time scales that include the ice ages, is there a causal relationship between increased carbon dioxide concentration in the atmosphere and temperature rise?
Carbon dioxide concentrations in the atmosphere are taken by most climatologists to be the cause of changes from glacial to interglacial periods in the Earth's history. But some do not believe this is the case, and give primary responsibility to Milankovich orbital cycles which vary the eccentricity of the Earth's orbit, the distance of the Earth from the Sun and the angle of the Earth's tilt with respect to the plane of the ecliptic (obliquity). The axis of rotation of the Earth also precesses, thereby changing its direction in space. The Milankovich cycles have periodicities of 100,000 and 400,000 years for the eccentricity, 40,000 years for variation of the tilt between 22° and 24.5° and 22,000 years for the precession of the Earth's axis of rotation.
The IPCC does acknowledge that geological and astronomical mechanisms may be the ultimate cause of the transitions from glacial to interglacial conditions. They note that the Milankovich orbital variations "appear to be correlated with the glacial-interglacial cycle since glacials arise when solar radiation is least in the extratropical Northern Hemisphere summer." In fact, it has been commonly accepted that subtle changes in the seasonal distribution of solar radiation resulting from Milankovich orbital variations, with virtually no change in net radiation, was sufficient to initiate the climate cycles of the Pleistocene. Rare orbital congruences involving obliquity and eccentricity correspond to major transient glaciations.
The orbits of the planets are known to be inherently chaotic meaning that they depend sensitively (exponentially) on differences in initial conditions. As a result, over tens of millions of years it is not possible to predict the exact locations of the planets. In particular, the tilt of the Earth with respect to its orbital plane is expected to increase in the distant future and could increase to as much as 90°, with drastic effects on climate.
Other planets in the solar system also display such behavior. For example, the tilt of Mars varies chaotically by ± 13.6° around its average of 24° over millions of years.
The IPCC also recognizes that rapid changes in climate can occur on time scales of a century, which cannot be related to changes in the Earth's orbit or atmospheric concentration of carbon dioxide. The Younger Dryas event of about 10,500 years ago (where the temperature dropped some 4°C) was the last global event of this type, and it lasted 500 years before ending very suddenly. The Younger Dryas event is not understood, although there is speculation that changes in the North Atlantic currents could have been a factor.
Recent research by other climatologists has cast a great deal of doubt on the causal relation between climate swings over the last 550 million years and the concentration of carbon dioxide in the atmosphere. Veizer, et al.39 have shown that climate changes over this period were global in nature, but their results also show that carbon dioxide concentrations were probably not the principal driver. Consistent with this, Indermuhle, et al. have found that over the last 11,000 years most of the variability in atmospheric carbon dioxide concentration was caused by changes in the amount of land biomass and sea surface temperatures.
These changes are driven by geological and astronomical mechanisms. The relationship between sea surface temperatures and the partial pressure of carbon dioxide in the atmosphere is exponential, meaning that the concentration of carbon dioxide in the atmosphere increases much faster than linearly with increasing sea surface temperature (we will see below that the ocean is the principal reservoir of carbon dioxide).
Data from the last 250,000 years, covering the last three glacial terminations, show that carbon dioxide concentrations in the atmosphere increased some 400 to 1,000 years after the termination of an ice age, a time lag that is on the order of the ocean mixing time (the time needed to mix surface and deeper waters of the ocean). This implies that the carbon dioxide was put into the atmosphere by a warming ocean, and was not the cause of the warming.
Transitions from glacial to interglacial periods in the Earth's history are not driven by increases in carbon dioxide concentration in the atmosphere. Rather, carbon dioxide levels increase some 400 to 1,000 years after the transition, consistent with releases from warming oceans. Major temperature changes in the relatively recent past are not understood: one such is the Younger Dryas event of 10,500 years ago, which had a temperature drop of 4°C and lasted for 500 years.
How much has the concentration of carbon dioxide in the atmosphere risen, and is the cause of the rise known?
The position of the IPCC on the buildup of carbon dioxide in the atmosphere is that, "For thousands of years prior to the industrial revolution, abundances of the greenhouse gases were relatively constant. However, as the world's population increased, as the world became more industrialized and as agriculture developed, the abundances of greenhouse gases increased markedly."
However, Indermuhle, et al. (referred to under the last question) found that the global carbon cycle has not been in a steady state during the past 11,000 years. There has been a steady rise in the concentration of carbon dioxide from about 260 parts per million by volume (ppmv) 8,000 years ago to about 285 ppmv in 1900 (other sources give 290 ppmv for 1900). Interestingly enough, there was a dip in carbon dioxide concentration from about 285 ppmv to 275 ppmv during the Little Ice Age.  Although the transitions are not sharply defined, it can be said that the level of carbon dioxide fell after the initiation of the Little Ice Age and rose again after its termination.
The fall occurred between about 1600 AD and 1700 AD while the rise began in about 1800 AD and has continued until today. The fall and rise time of about 100 years is the time it takes for the atmosphere to respond to a change in sea surface temperatures. If changes in sea surface temperatures were indeed responsible for the 10 ppmv dip in carbon dioxide concentration during the Little Ice Age, that would correspond to a reduction in sea surface temperatures of about 0.8°C. Variation in carbon dioxide concentration over the last 1,000 years (up to 1900 AD) has been between 275 ppmv and 287 ppmv about 12 ppmv, or 4.3%.
Since the mid-19th century, a time that corresponds to the average carbon dioxide concentration in the atmosphere over the last 1,000 years, the concentration of this gas has risen from about 280 ppmv to about 350 ppmv, or about 25%. This is a very large increase, comparable to changes that occurred during the ice ages. Sea surface temperature changes alone cannot be responsible for this increase they would have had to increase by roughly 5.5°C since the end of the 18th century. While sea surface temperatures have indeed increased over this period, they have only gone up at most some 0.5 °C. The rise in sea surface temperatures has not been gradual; most of it occurred from 1910 to 1940, and after 1975. Between 1940 and 1975 sea surface temperatures were relatively constant, and globally the Earth experienced a slight cooling. Climate simulations do not show this cooling. An exception is the recent work of Stott, et al., who included changes in solar irradiance (from Lean, et al.) as well as the effects of aerosols in their simulations. They conclude that although there are significant uncertainties, natural forcings (solar changes, etc.) were relatively more important in the warming of the early 20th century, and anthropogenic forcing (carbon dioxide production) the dominant factor in recent decades.
Because the results of Stott, et al. are reproduced in the IPCC 2001 Third Assessment
Report (Shanghai Draft 21-01-2001), it is important to describe this work in a little more
detail. These authors used estimates of various forcings in a coupled ocean-atmosphere general-circulation model to simulate the changes in annual-mean global surface temperatures. These forcings, such as solar irradiance variations, increases in carbon dioxide and changes in sulfate aerosols (which reflect incoming solar radiation), correspond to the influence of different factors altering the balance of incoming and outgoing radiation in the Earth-atmosphere system. By adjusting these factors, the authors were able to match 30-year observed surface temperature trends starting in 1910,1940 and 1970.
Stott, et al. were, however, careful to caveat their results: "Given the uncertainties in historical forcing, climate sensitivity, and the rate of heat uptake by the ocean, the good agreement between model simulation and observations could be due in part to a cancellation of errors ... Hence, our result does not remove the need to reduce uncertainty in these factors, particularly as these might not cancel in the future." North  is far stronger in his reservations about climate models: "There are so many adjustables in the models,and there is a limited amount of observational data,so we can always bring the models into agreement with the data." Although changes in land use and the burning of fossil fuels are generally thought to be responsible for the exponential increase in atmospheric carbon dioxide, in order to prove this one must understand the global carbon cycle to an accuracy better than the fraction of carbon dioxide produced by these activities. 
The oceans contain about 50-65 times as much carbon dioxide as the atmosphere, while soils and land plants contain about three times as much. Carbon fluxes are measured in gigatons of carbon (GtC), where 1 Gt =109 metric tons =1012 kg. One ppmv of carbon dioxide in the atmosphere corresponds to 2.23 GtC or 8.2 Gt of carbon dioxide.
The IPCC estimates that the ocean surface absorbs 92 GtC per year and releases 90 GtC.
Both plants and soils are estimated to release about 100 GtC per year while plants absorb some 102 GtC per year. These figures lead to a net sequestering of 4 GtC per year. The flux is then roughly 200 GtC released per year and slightly more absorbed. Now fossil fuel burning is estimated to release 5 GtC per year and deforestation another 2 GtC per year for a total of 7 GtC per year. So,in order to show that the buildup of carbon dioxide in the atmosphere is due to these sources, one must understand the carbon cycle (or at least the net fluxes of carbon dioxide between the ocean, land, and atmosphere) to an accuracy better than 7 GtC/200 GtC =3.5%.
In comparison with actual measurements, atmospheric models overestimate the increase in atmospheric carbon dioxide due to emissions from the burning of fossil fuels, cement production, and deforestation. Post, et al. state that, "Since the ranges of predicted and observed increases in atmospheric carbon do not even overlap, many scientists remain skeptical that we can analyze the impact of fossil-fuel burning on the global carbon cycle."
The following estimates (in GtC per year) were given by the IPCC for the decade 1980-1989:
Fossil fuel burning: 5.4 ± 0.5
Deforestation and land use: 1.6 ± 1.0
Total emissions of CO: 2 7.0 ± 1.1
Total accumulation of CO2 in the atmosphere: 3.4 ± 0.2
Uptake of CO 2 by the ocean:  2.0 ± 0.8
Total uptake of CO: 2 5.4 ± 0.8
Except for disturbances such as deforestation, the exchange of carbon between the atmosphere and terrestrial ecosystems is assumed to be in balance over the time scale of several years. For this reason the uptake of land plants is not included in the above table. The difference or net imbalance of 1.6 ± 1.4 GtC corresponds to a lack of understanding of the disposition of 1.6/7 =23% of the carbon.Similarly,from 1850-1986 the total carbon released by these processes is estimated to be 312 ± 40 GtC, while for the same period the increase in carbon dioxide in the atmosphere is 60 ppmv or 127 GtC, which is only 41% of the estimated release.The missing carbon sink (where the excess carbon dioxide goes) corresponds to an enormous error in the net flux of carbon dioxide between the ocean, land, biosphere and the atmosphere.
According to Post et al ., the inability to balance the carbon fluxes over the period from 1800 to the present may be due to overlooking dynamic responses from land plants and the ocean. Increased carbon dioxide levels in the atmosphere may stimulate land plants and phytoplankton (small ocean plants) to take up additional carbon dioxide.
The response of land plants is complex, but some 95%of the Earth 's plants show an increase in biomass when exposed to elevated carbon dioxide levels.The IPCC noted that "Net primary production could be enhanced by increased CO2 in a variety of ways," although they listed a number of caveats.
Plants fall into two broad categories known as C3 plants or C4 plants,depending on whether one of the main early products of photosynthesis is one of the three-carbon intermediates phosphoglyceraldehyde of the Calvin cycle (used by all plants for the synthesis of carbohydrates) or a four-carbon compound instead. C4 plants have the advantage over C 3 plants under conditions of high temperature and intense light, when stomatal closure results in low carbon dioxide and high oxygen concentrations in the air spaces within their leaves.
Optimal carbon dioxide uptake from the atmosphere per unit of leaf weight takes place in C4 plants like maize (corn) which originated in the tropics in the range of atmospheric carbon dioxide concentration of 200 ppmv to 800 ppmv (The uptake of carbon dioxide is essentially constant over this range of concentration). C3 plants reach their optimum carbon dioxide uptake for atmospheric carbon dioxide concentrations of 500 ppmv to 800 ppmv (a range over which the uptake is again constant). However, the efficiency of C3 plants (the amount of carbon dioxide taken up per unit of light energy absorbed) is greater than that of C4 plants up to a leaf temperature of a little less than 30°C. The efficiency of C4 plants is constant over the temperature range of 10°C to 40°C, and greater than that of C3 plants above 30°C.
In summary, C4 plants cannot be expected to increase their uptake of carbon dioxide with rising atmospheric concentrations of this gas. C3 plants, which have the advantage in temperate climates, will increase carbon dioxide uptake up to a concentration of about 500 ppmv.
In the case of the ocean, it is known that climate change will affect marine ecosystems, but there is inadequate data to predict how these ecosystems will respond. The response of marine ecosystems is important not only from the perspective of global warming: it is the plants in the ocean that produce essentially all of the oxygen in the Earth's atmosphere.
There is, however, some understanding of how carbon dioxide is absorbed by the ocean. Phytoplankton are extremely important in this process, since photosynthesis by these plants is what reduces carbon dioxide (releasing oxygen) in a shallow surface layer of the ocean. The amount of carbon dioxide in this layer is dependent on the relationship between wind speed and the value of what is called the gas transfer coefficient, which is only known to ± 30% . Biologically produced debris (containing carbon) from these surface layers sinks into the deep ocean where it is decomposed (oxidized) by microbes. This process is known as the biological pump.
The biological pump is important because it allows the removal of far more carbon dioxide from the atmosphere than would otherwise occur.
It maintains the carbon profile of the ocean, where deep ocean water (below about 500 m) is supersaturated with carbon dioxide compared to atmospheric carbon dioxide (if this deep water were warmed to the mean surface temperature of 18°C it would result in an atmospheric partial pressure of carbon dioxide two to three times its present value). The surface layers of the oceans are generally within ± 40% of saturation with atmospheric carbon dioxide; i.e., within ± 40% of that concentration the surface layers would have dissolved in them if they were in equilibrium with atmospheric carbon dioxide.
For every carbon atom fixed by photosynthesis, a molecule of carbon dioxide (the source of the carbon atom) is removed from the ocean surface layer. Call the amount removed this way Corganic. On the other hand, for every carbon atom fixed into the calcium carbonate of sea creatures (mostly coccoliths, foraminifera and pteropods), one molecule of carbon dioxide is released into the surface layer.
Call the amount released this way Ccarbonate .The ratio Corganic : Ccarbonate is known as the 'rain ratio.' This ratio represents the net carbon dioxide removed from the surface layer of the ocean: if it is 1:1, the biological pump releases as much carbon dioxide to the surface layer through calcium carbonate formation as it removes through the formation of organic molecules containing carbon. The rain ratio is generally around 4:1, but varies over a very wide range of perhaps just over one to 20.
The point to be emphasized is that without the biological pump, the partial pressure of carbon dioxide in the surface layer of the ocean would be much greater than it is, and atmospheric concentrations would consequently also be much greater. Various simulations starting with the pre-industrial atmospheric concentration of carbon dioxide of 280 ppmv indicate that if the biological pump were able to utilize all available surface nitrate it would have resulted in a current value of 160 ppmv (compared to the actual value of about 350 ppmv); if the biological pump did not exist, the result would be 450 ppmv. 
Despite the wide potential variation in the performance of the biological pump in response to changing conditions in the ocean's surface layer, it is generally assumed to have remained in essentially a steady state during the buildup of carbon dioxide in the atmosphere over the last century. This assumption is presumably built into the climate models used to predict the response of the Earth to rising carbon dioxide concentration.
The biological pump is estimated to be responsible for the uptake of about 5 GtC per year, of which 1 GtC per year, or 20%, is at the continental margins, which are the most susceptible to changes resulting from human activity. The 5 GtC per year should be compared to the 7 GtC per year estimated to be produced by the burning of fossil fuels and land use changes.
The carbon cycle is not well understood and current estimates of carbon fluxes have very large errors. Dynamic responses of the ocean and land plants are generally not included in coupled ocean-atmosphere general-circulation models.
Although the buildup of carbon dioxide in the atmosphere may be due to increased burning of fossil fuels and changes in land use, it is difficult to determine how much of this buildup may be due to changes in the performance of the biological pump for reasons that may be unrelated to the burning of fossil fuels.
How good are the predictions of coupled ocean-atmosphere climate models?
At this point in this series of questions, readers may judge for themselves the answer to this question.
Perhaps the most contentious summary of the status of climate models has been given by the preeminent physicist Freeman Dyson in a talk to the American Physical Society in March of 1999.
After discussing a Department of Energy program known as ARM (for Atmospheric Radiation Measurements), and pointing out that measured carbon dioxide uptake by some mature forests was far higher than expected (or modeled), Dyson summarized his findings as follows:
"The bad news is that the climate models on which so much effort is expended are unreliable. The models are unreliable because they still use fudge-factors rather than physics to represent processes occurring on scales smaller than the grid-size. Besides the general prevalence of fudge-factors, the climate models have other more specific defects that make them unreliable.
First, with one exception, they do not predict the existence of El Niño. Since El Niño is a major and important feature of the observed climate, any model that fails to predict it is clearly deficient.
Second, the models fail to predict the marine stratus clouds that often cover large areas of ocean. Marine stratus clouds have a large effect on climate in the oceans and in coastal regions on their eastern margins.
Third, the climate models do not take into account the anomalous absorption of radiation revealed by the ARM measurements. This is not a small error.
If the ARM measurements are correct, the error in the atmospheric absorption of sunlight calculated by the climate models is about 28 watts per square meter, averaged over the whole Earth, day and night, summer and winter. The entire effect of doubling the present abundance of carbon dioxide is calculated to be about four watts per square meter. So the error in the models is much larger than the global warming effect that the models are supposed to predict. Until the ARM measurements were done, the error was not detected, because it was compensated by fudge-factors that forced the models to agree with the existing climate. Other equally large errors may still be hiding in the models, concealed by other fudge-factors.
Until the fudge-factors are eliminated and the computer programs are solidly based on local observations and on the laws of physics, we have no good reason to believe the predictions of the models. [This does not mean that climate models are worthless, but ] they are not yet adequate tools for predicting climate. If we persevere patiently with observing the real world and improving the models, the time will come when we are able both to understand and to predict. Until then, we must continue to warn the politicians and the public, don't believe the numbers just because they come out of a supercomputer." 
The well known solar physicist Eugene Parker (referred to above) summarized our general state of knowledge as follows: "The inescapable conclusion is that we will have to know a lot more about the Sun and the terrestrial atmosphere before we can understand the nature of the contemporary changes in climate. We expect that burning fossil fuel at the extravagant rate to which we have become accustomed is a contributing factor, but so are the increased solar brightness and the increased sea water temperatures. In our present state of ignorance it is not possible to assess the importance of individual factors. The biggest mistake that we could make would be to think that we know the answers when we do not."
As put by Ahilleas Maurellis of the Space Research Organization Netherlands in the February 2001 issue of Physics World ,"Ultimately, it is too simplistic to blame global warming on a particular gas or process ... Perhaps the real villain is not carbon dioxide or even water vapour, but simply a mixture of inertia, hysteria and misinformation. Until we understand the full picture, perhaps the best reaction to global warming is for everybody to just keep their cool."
Perhaps the most important indicator that human activities could be affecting the global environment is the 25% rise in atmospheric carbon dioxide concentration since the end of the eighteenth century. H owever, our understanding of the carbon cycle is such that it cannot be said with certainty that this buildup is due to human activity, and in particular to the burning of fossil fuels and deforestation, although such activity (which, on a yearly basis, comprises some 3.5% of the two-way exchange of carbon between the Earth and its atmosphere) must certainly contribute to the increased concentration of this gas. A 25% increase may appear large, but because carbon dioxide is a minor greenhouse gas, and increased carbon dioxide concentration in the atmosphere does not proportionately increase its greenhouse effect, this has had only a minimal impact on the Earth's temperature.
Using the methodology of the IPCC to find the increase in radiative forcing due to the 25% increase in atmospheric carbon dioxide concentrations, as well as the formula given earlier for determining the rise in the Earth's average surface temperature (including the effects of water vapor), this increase corresponds to a 0.6°C temperature rise. This number is the same as the global temperature increase over the last century and a half a striking correspondence. However, it is three times smaller than the 2°C variations one could consider to be natural. The correspondence becomes even less striking if one considers other factors affecting the Earth's temperature.
Solar output varies by at least 0.1% to 0.4% (or 1.4 w/m2 to 5.5 w/m2, corresponding to a radiative forcing of 0.2 w/m2 to 1 w/m2). The radiative forcing due to the 25% rise in carbon dioxide concentration is 1.4 w/m2 (including the water vapor feedback). Solar variation since 1978 alone has been measured to be in the range of 0.15% or 2 w/m2 (corresponding to a change in radiative forcing of 0.4 w/m2). Many researchers now believe that a very significant portion of the global warming over the last century at least half has probably been due to an increase in solar output. Other effects of increased solar activity, such as the impact on cloud formation and El Niño events, are not yet well understood, and are not factored into the predictions of climate change.
The IPCC, based on the predictions of climate models, estimates that doubling the concentration of carbon dioxide in the atmosphere would lead to a rise in global surface temperature, including the feedback effect of water vapor, of about 1.9 °C. However, the uncertainties having to do with clouds are so great as to render this figure meaningless.
Over longer periods of the Earth's history, the record shows that transitions from glacial to interglacial periods are not driven by increases in carbon dioxide concentration in the atmosphere. Rather, carbon dioxide levels increase some 400 to 1,000 years after the transition, consistent with releases from warming oceans. Thus, it is difficult to maintain that the role of carbon dioxide in climate change is really understood.
Given the uncertainties described above, and the current state of coupled ocean-atmosphere general-circulation models, the predictions of these models cannot and do not form a sound basis for public policy decisions.
What should be done? Perhaps the most important single action would be to de-politicize the issue of climate change. Funding should be maintained for continued research, modeling, and data collection. In time it may be possible to develop an understanding of the Earth's climate that is good enough to contribute meaningfully to policy decisions.
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- Recent evidence from ice core data shows that the Little Ice Age may have ended in as little as ten years. See P.F. Schuster, et al., J. Geophys. Res.105, 4657 (2000).
- R.B. Bacastow, Global Biogeochemical Cycles 10, 319 (1996).
- P.A. Stott, et al., Science 290, 2133 (2000).
- R.A. Kerr, Science 292, 192 (2001).
- W.M. Post, et al., "The Global Carbon Cycle, "American Scientist 78, 310 (1990) is an excellent introduction to the subject.
- More recent work shows that this number may be in error by about a factor of two, and could be as great as 3.9 GtC per year. See H. Thomas, et al., Geophysical Res. Lett . 28,547 (2001).See also D. Bakker and A.Watson, Nature 410, 765 (2001).
- Carbon dioxide has a high solubility in water through the reactions: CO2(gas)+H2O (.H2CO3).H + +HCO3 - .2H + +CO3 2 -which, the relative reaction rates, can be summarized as CO2(gas)+H2O +CO3 2 - .2HCO3 2 -.The bicarbonate ions (2HCO3 2 -) can then interact via the calcification equation Ca 2+ +2HCO3 - .CaCO3 +CO2 +H2O to release carbon dioxide.
- R.B. Hanson, et al, eds.
- K.K. Liu, et al., "Continental Margin Carbon Fluxes," in R..B. Hanson, et al., eds.
- The reader may also be interested in the article by Gerald Westbrook, titled "Global Warming:Are Society 's Attitudes and Actions Based on an Over-Simplistic View of a Highly Complex System," in the December, 1997 Dialogue published by the United States Association for Energy Economics.
- Freeman J. Dyson, The Science and Politics of Climate, talk given at the American Physical Society Centennial Meeting in Atlanta, GA, March 25, 1999.
- E.N. Parker, Nature 399, 416 (1999).
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