assessing precipitation mechanisms on kilimanjaro and
TRANSCRIPT
Assessing Precipitation Mechanisms onKilimanjaro and Mount Kenya:
an Idealized Modeling Study
Master’s Thesis
in Atmospheric Sciences
Submitted to the
Faculty of Geo- and Atmospheric Sciences
of the
University of Innsbruck
in Partial Fulfillment of the Requirements for the Degree of
Master of Science
by
Federico Covi
Advisors
Assoc. Prof. Dr. Alexander Gohm and Univ. Prof. Dr. Georg Kaser
Innsbruck, November 2016
To my grandfather
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Abstract
Tropical glaciers have proved to be fundamental in the understanding of the climate
behaviour and its change in the tropical mid-troposphere, where measurements have
been only recently collected. Glaciers on Kilimanjaro and Mount Kenya in tropi-
cal East Africa are among the best studied sites in the tropics and their general
behaviour is nowadays well understood. The two mountains, located 370 km away
from each other, are often considered as typically influenced by the same air masses.
Yet, their precipitation patterns and glaciers behaviour differ considerably. This
indicates that either different air masses are at play or that precipitation processes
are considerably different. The present study aims to investigate the most relevant
mechanisms of precipitation over Kilimanjaro and Mount Kenya.
First, in-situ observations and ERA-Interim reanalysis data are used to charac-
terize the atmospheric background conditions during precipitation events at the two
mountains. Next, idealized vertical profiles are constructed and used as an atmo-
spheric reference state for simulations with the Weather Research and Forecasting
(WRF) model. Two types of model topography are used, a semi-realistic topography
constructed from a high-resolution digital elevation dataset (SRTM) and an ideal
topography obtained by a parametric formula. A series of sensitivity simulations is
carried out with modified topography, atmospheric reference state and surface heat
fluxes to asses the dominant factors governing precipitation over the two mountains.
The analysis of atmospheric background conditions confirms the hypothesis that
Kilimanjaro and Mount Kenya are locally influenced by the same air mass during
precipitation events. Numerical simulations show that the mesoscale circulation
over the two mountains is the result of a complex interaction of the large-scale flow
with the topography and the surface heat fluxes. Precipitation distribution and
magnitude are very sensitive to the orientation of the mountain respect to the large-
scale flow. Moreover the precipitation magnitude and the shift upslope, towards the
summit, of the precipitation maximum are strongly controlled by the surface heat
fluxes. With this, we aim to enhance the climate information from the differently
behaving glaciers on the two East African mountains.
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Contents
Abstract iii
Contents v
1 Introduction 1
1.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 State of Research . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
1.2.1 Tropical Glaciology and Meteorology . . . . . . . . . . . . . . 3
1.2.2 Atmospheric Processes over Complex Terrain . . . . . . . . . 9
1.3 Goals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
1.4 Outline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
2 Methods 15
2.1 Reanalysis Study . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
2.1.1 Classification of Precipitation Events . . . . . . . . . . . . . . 15
2.1.2 ERA-Interim Reanalysis . . . . . . . . . . . . . . . . . . . . . 18
2.2 Numerical Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
2.2.1 Model Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
2.2.2 Input Sounding . . . . . . . . . . . . . . . . . . . . . . . . . . 23
2.2.3 Topography . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
2.2.4 Simulations Overview . . . . . . . . . . . . . . . . . . . . . . . 28
3 Reanalysis Study 31
3.1 Classification of Precipitation Events . . . . . . . . . . . . . . . . . . 31
3.2 ERA-Interim Reanalysis . . . . . . . . . . . . . . . . . . . . . . . . . 34
4 Idealized Numerical Simulations 39
4.1 Kilimanjaro and Mount Kenya Comparison . . . . . . . . . . . . . . . 39
4.2 Sensitivity Study for Kilimanjaro . . . . . . . . . . . . . . . . . . . . 53
4.3 Idealized Ridge . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
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vi CONTENTS
5 Discussion 61
5.1 Reanalysis Study . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
5.2 Idealized Numerical Simulations . . . . . . . . . . . . . . . . . . . . . 63
5.3 Comparison to Previous Studies . . . . . . . . . . . . . . . . . . . . . 67
5.4 Limitations of the Study and Possible Improvements . . . . . . . . . 68
6 Conclusions 71
A Description of WRF Model Modifications 73
B Model Testing 77
Bibliography 81
Acknowledgments 89
Curriculum Vitae 91
Chapter 1
Introduction
1.1 Motivation
The presence of glaciers in tropical East Africa, close to the equator, has always
been regarded as a peculiarity that caused interest in the scientific community since
the first ascents to the main summits of the region in the Rwenzori Mountains, on
Mount Kenya and on Kilimanjaro (Hastenrath and Reidel 1984; Kaser and Osmas-
ton 2002; Kaser et al. 2004; Cullen et al. 2012). During the last decades, glaciologists
and climatologists have become increasingly aware of the fact that tropical glaciers
provide important proxy data in climate change research (Cruikshank 2001). A de-
tailed knowledge of glaciers evolution allows insight into past climate conditions, if
the atmospheric processes controlling the observed changes are understood (Hasten-
rath and Kruss 1992; Molg et al. 2009a; Prinz et al. 2016). In this sense, glaciers
on Kilimanjaro and on Mount Kenya, because of their location and exceptional el-
evation, offer a unique setup to sample atmospheric conditions in the tropical mid-
troposphere, which is extremely valuable given the influence of low latitude weather
and climate processes on global circulation (Chiang 2009; Cullen et al. 2012).
Hastenrath and Reidel (1984) comprehensively reported and documented glacier
retreat in the three presently glacierized massif of tropical East Africa: Rwenzori,
Mount Kenya and Kilimanjaro. Specific details for Mount Kenya are provided by,
e.g., Kruss and Hastenrath (1987), Hastenrath et al. (1989), Hastenrath (1995, 2005)
and Prinz et al. (2011, 2012); for the Rwenzori by, e.g., Kaser and Noggler (1991,
1996), Kaser and Osmaston (2002) and Molg et al. (2003); and for Kilimanjaro by,
e.g., Hastenrath and Greischar (1997), Thompson et al. (2002), Kaser et al. (2004)
and Cullen et al. (2012).
On a global scale, the main cause of glacier retreat and mass loss is attributed to
changes in air temperature, but this has been demonstrated to not be the unique case
on tropical glaciers (IPCC 2001). The factors governing tropical glaciers fluctuations
1
2 Introduction
are considered to be an interactive combination of changes in air temperature and
atmospheric moisture content, jointly driving precipitation, cloudiness and incoming
shortwave radiation (Kaser 1999). Process resolving studies, based on and evaluated
with in situ observations, revealed that glaciers on Kilimanjaro are most sensitive
to changes in atmospheric moisture and precipitation (Molg and Hardy 2004; Molg
et al. 2008, 2009b). A similar study by Prinz et al. (2016) show analogous results
for Lewis glacier on Mount Kenya.
Climate variability in East Africa is well documented on different time scales.
Specifically several climate proxies, e.g., historical accounts of lake levels, glacier
variations analysis (Hastenrath and Reidel 1984), and water balance models of lakes
(Nicholson and Yin 2001), indicate the climatic evolution over East Africa during
the last 150 years. According to these proxies there is evidence of a transition to a
drier climate, starting around 1880. Drier conditions were maintained throughout
the 20th century (Rodhe and Virji 1976). This drying is critically depending on
moisture supply from the Indian Ocean (Molg et al. 2006; Chan et al. 2008), which
strongly influences the precipitation amount and frequency over tropical East Africa.
These findings led to particular interest in precipitation processes on Kiliman-
jaro (Molg et al. 2008) and on Mount Kenya (Nicholson et al. 2013; Prinz et al.
2016). In particular local precipitation patterns on the summits, inferred by glaciers
mass and energy balance studies, are well understood as well as the large-scale
circulation that controls weather and climate in East Africa (Molg et al. 2009a).
However the link between these two scales remains still as a gap in our knowledge.
The mesoscale interaction of the huge mountains, such as Kilimanjaro and Mount
Kenya, with the large-scale flow is not yet totally clear despite the pioneering study
by Molg et al. (2009a). Filling this gap represents the next step forward in the
scientific understanding of glacier retreat in tropical East Africa.
It is for all of these reasons that a better understanding of the precipitation
mechanisms over the glaciated mountains of tropical East Africa is necessary. This
study targets this gap and aims to improve the understanding of the relevant pro-
cesses responsible for precipitation on the summits of Kilimanjaro and Mount Kenya.
1.2 State of Research
In the previous Chap. 1.1 a general summary and overview of more than a 100
years of scientific research on tropical glaciers in East Africa was presented. This
chapter will now focus on specific aspects of previous studies relevant for this work.
It is organized in two separated parts: the first one about tropical glaciology and
meteorology and the second one about orographic precipitation.
1.2 State of Research 3
30°S
20°S
10°S
0°
10°N
20°N
30°N
40°N
10°W 10°E 30°E 50°E
5°S
0°
5°N
30°E 35°E 40°E
Kilimanjaro
Mt. KenyaRwenzori
0 250 500
km
Figure 1.1: Glaciated areas in tropical East Africa.
1.2.1 Tropical Glaciology and Meteorology
Glaciated areas in tropical East Africa are nowadays limited to three specific geo-
graphic locations (Fig. 1.1): Kilimanjaro in Tanzania, Mount Kenya in Kenya and
the Ruwenzori on the border between Uganda and Congo (Kaser and Osmaston
2002).
Kilimanjaro
The scientific exploration of Kilimanjaro started when Hans Meyer first ascended
the mountain in 1887. Publications reporting the drastic retreat of the glaciers on
the summit were abundant during the whole 20th century (Meyer 1891; Volkens
1897; Klute 1920; Gillman 1923; Jager 1931; Geilinger 1936; Hunt 1947; Spink 1949;
Humphries 1959; Downie and Wilkinson 1972; Hastenrath and Reidel 1984; Osmas-
ton 1989; Hastenrath and Greischar 1997; Kaser and Osmaston 2002). Kilimanjaro
is the highest mountain in Africa. It is located at the boarder between Tanzania
and Kenya, about 370 km south of the equator and about the same distance from
the Indian Ocean. The mountain is a huge stratovolcano, about 80 km by 50 km on
its base, and it consists of three single peaks: Shira (4005 m), Mawenzi (5140 m)
and Kibo (5893 m). The latter, Kibo, is the only peak with glaciers (Hastenrath
and Reidel 1984; Kaser and Osmaston 2002; Kaser et al. 2004). The summit region
of Kibo (Fig. 1.2) is formed by a series of concentric craters of different age, 1.9
km by 2.4 km in diameter enclosing the innermost Reusch Crater. Glaciers on the
summit represent the remaining parts of an ice cap which previously covered the
entire summit of Kibo (Humphries 1959). These ice bodies typically have vertical
4 Introduction
Figure 1.2: Glacier extent on Kibo in 2003 as in Cullen et al. (2006). AWSs locations
and vertical ice cliffs are indicated. The highlighted 5700 m contour approximately follows
the outer crater rim and reasonably delineates the almost flat summit plateau. Taken from
Molg et al. (2008).
walls mainly along their north and south margins and show a strong east-west ori-
entation (Kaser et al. 2004). As noted by Osmaston (1989) this asymmetry is not
only confined to the most recent glacier extent, there is in fact evidence of similar
behaviour also in the past.
Since the year 2000, the scientific efforts on Kilimanjaro have been strengthen-
ing within the framework of several projects and a long going cooperation between
the universities of Innsbruck, Massachusetts and Otago. Three automatic weather
stations (AWSs) are operated on Kibo (see Fig. 1.2). AWS1 has been running since
February 2000 on the flat surface of the Northern Icefield and it is designed for long-
term monitoring of the high-altitude climate; AWS2, running since 2005, addresses
the special case of vertical ice walls on the summit plateau (Molg 2003), AWS3 is
1.2 State of Research 5
located on Kersten glacier and it is explicitly designed to run models of the glacier-
climate interaction (Molg et al. 2008). Studies combining in-situ measurements from
AWS1 (Molg and Hardy 2004) and from AWS3 (Molg et al. 2008) with mass and
energy balance modelling showed that fluctuations of both slope glaciers and the
horizontal surfaces of the plateau glaciers on Kilimanjaro primarily reflect precipita-
tion variability. This is a direct cause of the snowfall albedo feedback, which is much
stronger than on other locations such as mid-latitude glaciers. Glaciers on Kibo are
in fact located above the mean freezing level, thus effects of local air temperature
changes on mass balance are almost negligible (Molg et al. 2008).
Mount Kenya
Mount Kenya is is also subject of extensive scientific studies (Hastenrath 2005).
As on Kilimanjaro, the scientific interest in the mountain started in the late 19th
and early 20th century with the first expeditions to the peak region. These trips
produced sketches and photographs of the glaciers at that time (Gregory 1894;
Mackinder 1900; Dutton 1929). Following, several scientific campaigns were carried
out, undertaking measurements of ice surface velocity and mapping the glaciers
surface (Troll and Wien 1949; Charnley 1959). An exhaustive summary of all the
scientific expeditions on the glaciers of Mount Kenya is presented in Hastenrath
(2005).
Lewis glacier (number 4 in Fig. 1.3) is the biggest of Mount Kenya massif and it
is one of the best documented tropical glaciers (Prinz et al. 2011). It is located about
370 m below the summit of Mount Kenya in a south-westerly exposed, quasi cirque
location between the main summit and a secondary peak (Fig. 1.3). The retreat of
Lewis glacier is recorded both over the Quaternary, by downvalley moraines, and in
recent decades, by discontinuous field campaigns (see Hastenrath (2005) for detailed
references).
Pioneering studies using limited meteorological data and simple modeling tools
attributed the observed retreat of Lewis glacier to combined changes in radiation
geometry, air temperature, precipitation, albedo and cloudiness (Kruss and Hasten-
rath 1987, 1990; Hastenrath and Kruss 1992; Hastenrath 2009). Since September
2009 an AWS is operated by the University of Innsbruck on Lewis glacier at 4828
m, about 30 m below the upper limit of the glacier. Detailed point (Nicholson et al.
2013) and distributed (Prinz et al. 2016) surface energy and mass balance model-
ing studies revealed that nowadays Lewis glacier is most sensitive to atmospheric
moisture, in a complex interaction of solid precipitation, cloudiness and albedo, de-
spite the much warmer conditions at the summit of Mount Kenya compared to to
Kilimanjaro, with a mean regional freezing level close to the altitude of the glaciers.
6 Introduction
Figure 1.3: Map of the glaciers on Mount Kenya. Shading and solid lines refer to Septem-
ber 1987 and dashed lines indicate glaciers that disappeared earlier. Topography contours
at 200 m intervals. Lewis glacier is indicated with number 4. Taken from Hastenrath
(2005).
Tropical Meteorology
Meteorological conditions in tropical East Africa are the results of complex interac-
tions between multiple convergences zones and topographic and marine influences
(Nicholson 1996). The most dominant factor is the solar driven Intertropical Con-
vergence Zone (ITCZ) which is driven by solar radiation and, moving from south
to north during boreal spring and from north to south during boreal autumn, is
responsible for the typical tropical seasonality (Chan et al. 2008). The confluence
of the trade winds along the ITCZ causes a seasonal wind change from northeast-
erlies in January to easterlies in March, southeasterlies in July and again easterlies
in October, as shown in Table 1.1 (Gatebe et al. 1999). The mean annual rain-
fall is typically divided into four periods: January to February (rather dry), March
to May (long rains), June to September (rather dry), October to December (short
1.2 State of Research 7
Period Season Wind Prec.
January-February (JF) Dry Northeasterlies 18%
March-May (MAM) Long rains Easterlies 42%
June-September (JJAS) Dry Southeasterlies 15%
October-December (OND) Short rains Easterlies 25%
Table 1.1: Seasonality in tropical East Africa and related large-scale wind direction and
percentage of the mean annual precipitation (Prec.). Taken from Indeje et al. (2000) and
Chan et al. (2008)
rains), accounting respectively for roughly 18%, 42%, 15%, and 25% of the mean
annual rainfall (Table 1.1) (Indeje et al. 2000). Precipitation events during the long
rains are heavier and longer in duration, and more likely associated to local factors
(Chan et al. 2008) compared to events during the short rains which are less intense
and shorter in duration. Precipitation amounts in East Africa critically depend on
moisture supply from the Indian Ocean and its connection with intraseasonal and
interannual variability has been strongly investigated (Webster et al. 1999; Mutai
and Ward 2000; Hastenrath 2001; Molg et al. 2006).
Recently, few studies investigated how the synoptic scale meteorological condi-
tions influence precipitation events on the glaciarized summits of Kilimanjaro and
Mount Kenya. Chan et al. (2008) correlated global circulation patterns with sig-
nificant snowfall events recorded by AWS1 on Kilimanjaro (Fig. 1.2). The results
shows that both short rains and long rains precipitation events on the summit are
dominated by a east to west propagation of moisture, with the Indian Ocean playing
a major role. Only during the long rains season there is evidence of moisture con-
tribution from the interior of the African continent. Furthermore, largest snowfall
events on the summit tend to be associated with low wind speed, favorable for the
development of surface radiative heating and thereby deep convection. High specific
humidity near the surface is another necessary ingredient to trigger moist convection
during large snowfall events.
Molg et al. (2009a) performed atmospheric numerical simulations to study the
mesoscale interaction of the topography of Kilimanjaro with the air masses of the
large scale flow. A high moisture content in the atmospheric boundary layer is
identified to be the most important precondition for significant precipitation on the
summit (as in Chan et al. (2008)). Furthermore the elevation band of maximum
precipitation is usually located at mid elevations, as typically observed on tropical
high mountains (Hastenrath 1991). This can be shifted upslope during moister
events. The simulations shows that the precipitation maximum is located on the
leeward side of the mountain, favoured by the formation of a lee side flow reversal
8 Introduction
Figure 1.4: Different convective patterns on Mount Kenya and on Kilimanjaro (Kibo).
Taken from Kaser and Osmaston (2002), pag. 139.
after the lateral deflection of the impinging flow.
Pepin et al. (2010) suggests a new perspective in the present literature affirming
that the vegetation belt and the land cover around Kilimanjaro is the main source of
moisture for precipitation on the summit. The study, supported by a field campaign
to measure different atmospheric variables along the slope of Kilimanjaro, shows
evidence of a strong diurnal cycle allowing the formation of a local slope winds
circulation which brings moisture from the forested zone below to the top of the
mountain.
A recent work of Nicholson et al. (2013) investigated the micrometeorological
conditions recorded by the AWS on Lewis glacier on Mount Kenya and compared
it with the conditions at AWS3 on Kersten glacier on Kilimanjaro. Meteorological
conditions at Lewis glacier show little interannual variability, in accordance with the
expected regional hygric seasonality. The comparison with the data from the summit
of Kilimanjaro suggests contrasts between the two locations, JF (JJAS) is the more
arid of the two dry seasons and OND (MAM) is the more humid of the two wet
seasons at Mount Kenya (Kilimanjaro). Furthermore the occurrence of convective
clouds is found to be more frequent over the summit of Mount Kenya, leading to an
higher amount of accumulated snow at this location. Both mountains appear to be
influenced by the same synoptic conditions (Ehrengruber 2011), although only 40%
of days with precipitation during the study period occurred simultaneous at both
sites. This suggests that probably the precipitation driving mechanism is different.
Accumulated precipitation at Lewis glacier was 35% larger than at Kersten glacier
during the sampled period.
An hypothesis proposed by Kaser and Osmaston (2002), illustrated in Fig. 1.4,
1.2 State of Research 9
suggests that different convective patterns on the two mountains are caused by
differences in mountain shape and height. The convex shape of Kibo essentially
prevents convective precipitation at the summit plateau. Convective cells cannot,
as on Mt. Kenya, meet aloft the summit but arrange themselves annularly around
the peak. Furthermore Kilimanjaro is about 700 m higher than Mount Kenya. This
difference in height may strongly reduce the number of precipitation events that
reach the summit of Kilimanjaro compared to to Mount Kenya.
Finally the concomitant effect of a more frequent cloud cover and a higher
accumulation on Mount Kenya could provide a possible explanation for glaciers
remaining at a lower elevation compared to Kilimanjaro (Nicholson et al. 2013).
Limited-area atmospheric modeling, such as conducted by Molg et al. (2009a), is
required to fully understand the physical processes that govern the formation of
convective precipitation over the two mountain.
1.2.2 Atmospheric Processes over Complex Terrain
Flow Regimes for Isolated Mountains
In a dry atmosphere a stratified flow past an isolated mountain is typically controlled
by the characteristics of the large-scale flow impinging the obstacle and by the terrain
geometry (Epifanio 2015). Typically the large-scale flow is assumed uniform, with a
uniform cross-mountain component of the upstream flow U and a constant upstream
buoyancy frequency (or Brunt-Vaisala frequency) N . Such a model gives a rough
first approximation to many atmospheric flows but excludes phenomena such as
trapped lee waves which depend on vertical variations in N and U . The factors
governing the terrain geometry of an isolated mountain are the stream-wise length
scale a, the cross-stream length scale b, and the maximum height h.
The non-dimensional parameters governing the behavior of the flow for constant
N and U are then: the non-dimensional mountain height ε = Nh/U (Smolarkiewicz
and Rotunno 1989, 1990), which measures the amplitude of the disturbance; the
vertical aspect ratio δ = U/Na, which measures the importance of non-hydrostatic
effects; and c) the horizontal aspect ratio β = b/a. If the vertical aspect ratio δ is
small (< 0.1) the flow is essentially hydrostatic and the set of control parameters
then reduces to ε and β.
Four classes of flow regimes are identified for stratified flow over topography
with uniform upstream N and U : small-amplitude waves, wave breaking, upstream
stagnation and flow-splitting, and lee vortices. The schematic flow regimes diagram
in Fig. 1.5 summarizes the occurrence of these phenomena as a function of ε and β.
Detailed descriptions of the flow classes can be found in Epifanio (2015).
When ε 1 the mountain induced disturbance for all β takes the form of a
10 Introduction
Figure 1.5: Schematic flow regimes diagram for stratified flow past an isolated ridge as
a function of ε and β. Note that the actual shapes and positions of the curves will depend
on obstacle shape. Taken from Epifanio (2015).
small-amplitude mountain wave. For β ≥ 1 (i.e., for elongated ridges) streamlines
above the lee slope overturn when ε exceeds a critical value usually in the range
0.7 − 1.2 depending on obstacle shape. For all β exists a critical non-dimensional
mountain height at which upstream flow stagnation occurs inducing flow-splitting
(Smith 1988). Upstream stagnation is often accompanied by the formation of a pair
of counter-rotating lee vortices, which may become unstable causing a transition to
vortex shedding and the formation of Karman vortex streets (Schar and Smith 1993;
Schar and Durran 1996). When flow splitting occurs and the flow turn around the
obstacle (ε > 1) the flow regime is often referred to as “flow around”. When the flow
rises over the obstacle (ε < 1) the flow regime is often referred to as “flow over”.
Orographic Precipitation
The influence of orography on patterns of precipitation is a well studied in at-
mospheric sciences: mountains significantly modify the large scale atmospheric flow
creating some of the most pronounced climate gradients on Earth (Roe 2005). Nowa-
days what is referred to “orographic precipitation” is the alteration or reorganization
of one of the three major storm types when it encounters topographic features, with
the three major types of storm being convective clouds, frontal system and tropical
cyclones (Houze 2012).
Three main factors are traditionally considered important in orographic precip-
itation (Fig. 1.6): (1) moist, large-scale flow towards an obstacle (hill, mountain or
mountain chain), (2) mesoscale orographically induced lifting of the large-scale flow
(which cools the air to saturation and induces condensation), and (3) conversion
of the condensate to precipitable particles (by some combination of smaller-scale
1.2 State of Research 11
Figure 1.6: Schematic diagram of the elements of orographic precipitation: (1) large-
scale flow, (2) orographic lifting and condensation, and (3) conversion of condensate to
precipitation. Taken from Rotunno and Houze (2007).
convection, turbulent air motions, and cloud microphysics) (Rotunno and Houze
2007).
Regarding the large-scale flow, two properties of the atmosphere are important:
the lifting condensation level (LCL) and the level of free convection (LFC) (Banta
1990). The LCL is the level at which a parcel of moist air, lifted dry-adiabatically,
would become saturated. The LFC is the level at which a parcel of air, lifted dry-
adiabatically until saturated and moist-adiabatically thereafter, would first become
warmer than its surroundings in a conditionally unstable atmosphere (definitions
from American Meteorological Society (2016)). Thus, the properties of the imping-
ing flow determine the amount of lifting needed to produce clouds. If air is lifted to
its LCL but not to its LFC, stable or stratiform clouds will be produced. If air is
lifted to its LFC, unstable or convective clouds will be produced (Banta 1990).
Unstable cumulus clouds grow when lifting releases moist instability. There are
two type of inherent moist instability. Potential instability occurs when the equiv-
alent potential temperature θe decreases with height (dθe/dz < 0) in a layer, forced
lifting to saturation makes the layer unstable and produces cumulus convection.
Conditional instability occurs when the saturation equivalent potential temperature
θes decreases with height (dθes/dz < 0) in a layer, if processes such as surface heating
or surface convergence lift a parcel to its LFC this type of instability is released. The
two types of moist instability are not mutually exclusive, before saturation occurs a
sounding can in fact exhibit both types (Banta 1990).
It is evident that the many degree of freedom governing the interaction between
the large-scale flow and the orography make orographic precipitation a difficult pro-
cess to study. However extensive research in different area of complex terrain allows
nowadays to identify several types of precipitation mechanisms, collected and sum-
marized by Houze (2012). Below, the mechanisms which are relevant for this study
12 Introduction
(a) (b)
(c) (d)
Figure 1.7: Mechanisms by which a high mountain affect precipitating clouds. Taken
from Houze (2012).
are summarized.
Figure 1.7a illustrates what happens when stably stratified air rises over an
obstacle or a barrier. In this case the vertical component of motion of the air
following the terrain upward produces or strengthens a cloud on the windward side
of the mountain. On the leeward side the cloud is evaporated due to flow descent.
Figure 1.7b represents a situation similar to Fig. 1.7a, but in this case the airflow
impinging on the obstacle is unstable. The result is that the air ascending the terrain
overturns on subscale of the obstacle. This overturning may be caused by several
different factors: a deep layer of very unstable air lifted above its LFC, a shallow layer
containing buoyant instability lifted over the obstacle, a slightly potentially unstable
layer embedded in a preexisting widespread cloud system, a layer presenting strong
shear. Figure 1.7c shows how the daily cycle affects convection over a mountain.
Solar heating during the day draws air upward to converge at the mountain top,
causing air parcels to rise above their LFC. These effects lead to a maximum of
convective precipitation in the warm part of the day. Figure 1.7d illustrates a
mechanism involving more effects at once. In this case vertically propagating wave
initiated by the large-scale flow over the mountain induces wave motions tilting
upward and upstream. On the lee side of the mountain the upward motion phase of
the wave may favor precipitating convective clouds. This process may be enforced
by diurnal heating, by gravity waves induced by the airflow over the terrain as well
as by convergence due to the formation of lee vortices. Finally other precipitation
mechanisms mentioned by Houze (2012) are not considered relevant for this study.
1.3 Goals 13
1.3 Goals
More than a 100 years of scientific studies have focused on the understanding of
ongoing glaciers retreat in tropical East Africa and its complex interaction with
climate. A lot is nowadays known about the processes governing glaciers melt,
concomitant climate variability in East Africa, local precipitation pattern on Kili-
manjaro and Mount Kenya as well as large-scale circulation that controls weather in
the region, but there is still a lack of knowledge about the local processes governing
precipitation formation over the two mountains. Filling this gap is the next step in
the understanding of the complex climate-glacier interaction in tropical East Africa.
Three hypothesis, emerged from previous studies, are particularly focusing
on the mechanisms producing precipitation over Kilimanjaro and Mount Kenya.
Nicholson et al. (2013) and Ehrengruber (2011) stated that precipitation events at
the two locations are determined by the same air mass. Kaser and Osmaston (2002)
considered the mountains shape and altitude to be responsible of the particular con-
vective patterns on Kilimanjaro and Mount Kenya (Fig. 1.4). Pepin et al. (2010)
suggested that a strong diurnal cycle, allowing the development of slope winds cir-
culation, is the most important mechanism in the production of precipitation on the
summit of Kilimanjaro.
For these reasons the goals of this thesis are:
(1) To investigate the background conditions favourable for precipitation events,
testing the hypothesis that the air mass is the same at the two site.
(2) To investigate the impact of the two different topographies on the spatial
distribution of precipitation, testing the hypothesis that the mountains shape
and altitude are playing a major role in determining the particular convective
patterns.
(3) To investigate the impact of the diurnal cycle on the formation of precipitation
at the top of the two mountains, testing the hypothesis that this is the most
important mechanism.
1.4 Outline
In order to tackle the three different goals listed in Chap. 1.3, this thesis is divided
in two different but complementary parts. The first part (Chap. 3) is address-
ing the first goal and it consists of a reanalysis study. In-situ observations and
ERA-Interim reanalysis data are used to characterize the atmospheric background
conditions favouring precipitation events on Kilimanjaro and Mount Kenya. The
14 Introduction
second part (Chap. 4) is addressing the second and the third goals and it con-
sists of idealized numerical simulations performed with the Weather Research and
Forecasting (WRF) model.
The methods used for both parts are described in Chap. 2, the results are
discussed in Chap. 5 and the conclusions are drawn in Chap. 6.
Chapter 2
Methods
2.1 Reanalysis Study
The first fundamental prerequisite for precipitation is a sufficient moisture content
in the atmosphere. When investigating the precipitation mechanisms it is thus
important that the source of moisture and the nature of the air mass during the
event is well constrained.
This reanalysis study focuses on testing the hypothesis (goal (1) in 1.3) that dur-
ing precipitation events the synoptic background conditions are the same at the two
study sites . For this purpose, all precipitation events on Kilimanjaro and Mount
Kenya are classified based on in-situ observations (Chap. 2.1.1). Consequently
ERA-Interim reanalysis data are used to characterized the atmospheric background
conditions of each precipitation class (Chap. 2.1.2). Then, these background condi-
tions are used as initial conditions for the WRF idealized numerical simulations.
2.1.1 Classification of Precipitation Events
The first challenge when studying precipitation on Kilimanjaro and Mount Kenya
is to select and isolate all those events happening at the summit of the two moun-
tains. Furthermore in this study it is also important to appropriately capture the
differences between the two locations. For these reasons three classes of precipita-
tion events are defined describing events that occurred simultaneously at both sites,
events that occurred only on Kilimanjaro and events that occurred only on Mount
Kenya. Data from two automatic weather stations, on Kersten glacier (Kilimanjaro)
and on Lewis glacier (Mount Kenya), are used.
15
16 Methods
Data
Three automatic weather stations (AWSs) are operated on the summit plateau of
Kilimanjaro (Fig. 1.2). Two of them, one from the University of Massachussetts
(since 2000) and one from the University of Innsbruck (since 2005), are located on
the Northern Ice Field while a third one (since 2005) is located on Kersten glacier
(AWS KG) at 5873 m a.s.l, almost directly at Africa’s highest point (Molg et al.
2008). Data from AWS KG are used in this study. In 2009 the University of
Innsbruck installed an AWS on Lewis glacier (AWS LG) on Mount Kenya at 4828
m a.s.l., filling the gap of long-term meteorological data close to the summit of the
mountain (Nicholson et al. 2013).
Both stations are equipped to measure the following variables: air temperature,
relative humidity, radiation fluxes (shortwave incoming radiation SWI, shortwave
outgoing radiation SWO, longwave incoming radiation LWI and longwave outgoing
radiation LWO), wind speed and wind direction, air pressure and surface height.
Unfortunately the stations are not equipped with precipitation gauges, which would
be hard to operate, due to the solid nature of precipitation (typically snow and/or
graupel), and hard to maintain. The only available instrument to detect snowfall
events is the sonic ranger which measures surface height changes and therefore de-
tects accumulation. The sensor mounted on AWS KG is a Campbell Scientific SR50
sonic ranger while the one on AWS LG is a Campbell Scientific SR50a. Both sensors,
often used in nivological and glaciological application, are capable of measure the
distance from a fixed reference with an accuracy of ±0.01 m. The characteristics of
the instrument are making the use of it quite challenging, especially in tropical high
mountains. There are in fact several known issues:
• Data collected during snowfall events are particularly noisy, snowflakes big
enough between the sensor and the surface could in fact interfere with the
measurements. This is particularly true for the two study sites since the typical
observed precipitation type is graupel (from field observations).
• The typical daily accumulation amounts reported during fieldwork at the two
sites are a few centimeters. Due to the low accuracy of the sonic ranger, light
precipitation events are almost impossible to be detected.
• The mast of the AWSs on which the sensor is mounted is drilled into the ice
at both locations. During strong melting periods it can happen that the ice
surrounding the mast melts, allowing it to turn and change position affecting
the reliability of the data.
The best gap-free period with good quality data is October 2010 − February
2012. Data are quality checked and already used in other publications (e.g., Nichol-
2.1 Reanalysis Study 17
son et al. (2013)). For these reasons this study will furthermore focus only on this
period.
Classification
The methodology used for the classification of precipitation events is here explained.
This procedure is based on the analysis of snow height measurements recorded by
the sonic ranger of the two AWSs. Thus, all the accumulated values given below
and following in Chap. 3 are referred to snow height and not to liquid precipitation.
Data from other sensors are not used in the process. A detailed description of the
classification procedure is found below:
• First of all SR50 raw data of surface height are processed to obtain daily snow
accumulation values. Mean and standard deviation of measurements around
midnight (22:00 − 02:00) are calculated for each day of the study period. The
mean value is considered as reference surface height of the day if the standard
deviation does not exceed the 90th percentile of the whole data set. If the the
standard deviation exceeds the 90th percentile the mean value is rejected and
the reference surface height of the day is interpolated from neighbouring, not
rejected, values. Thus, a set of daily reference surface heights is generated,
from which daily snow accumulation or ablation is calculated. Choosing mid-
night as reference time seems to be the best choice. In fact during the night
both sites show evidence of cloud free sky which ensure a better quality of the
measurement due to a object-free path between the sensor and the surface.
• Significant precipitation events are defined as events exceeding a threshold of 2
cm daily snow accumulation. The definition of this threshold allows to exclude
from the analysis all the measured signals that are smaller than the accuracy
of the sensor (±0.01 m). Note that the first step described above is already
filtering the noisy data.
• All significant precipitation days are sorted into 3 different classes as follow:
1. BOTH: this class includes all days with precipitation occurred simulta-
neously at both locations.
2. MTK: this class includes all days with precipitation occurred only on
Mount Kenya.
3. KIBO: this class includes all days with precipitation occurred only on
Kilimanjaro.
The classification is based on a 3-days window comparing daily snow accumu-
lation for the two mountains. For example an event is included in the class
18 Methods
BOTH if precipitation is occurring at Mount Kenya on a certain day and at
Kilimanjaro on the same day or one day before or after; an event is included in
the class MTK if precipitation is occurring at the Mount Kenya on an certain
day and at Kilimanjaro no precipitation is occurring the same day, the day
before and the day after.
The aim of this procedure is to produce a list of dates of significant (if not
extreme) precipitation events at the two study site. It does not want to be a complete
and exhaustive catalogue of all precipitation events recorded by the two AWSs but
rather a set of representative situations for the reanalysis data study, which should
help to test the hypothesis that both mountains are influenced by the same air
masses (goal (1), Nicholson et al. (2013)).
2.1.2 ERA-Interim Reanalysis
ERA-Interim reanalysis data from ECMWF are used to characterize the synoptic
conditions favouring each precipitation class. Results are compared to verify whether
the two mountains are influenced by the same air mass during precipitation events
(goal (1), Chap. 1.3).
Data
ERA-Interim is one the latest global atmospheric reanalysis produced by the Eu-
ropean Centre for Medium-Range Weather Forecasts (ECMWF) and it covers the
data period since 1979. The ERA-Interim atmospheric model and reanalysis system
uses cycle 31r2 of ECMWF’s Integrated Forecast System (IFS) configured for the
following spatial resolution (Dee et al. 2011; Berrisford et al. 2011):
• 60 levels in the vertical, with the top level at 0.1 hPa.
• A reduced Gaussian grid with approximately uniform 79 km spacing for surface
and other grid-point fields (Fig. 2.1).
Parameter Units
Geopotential m2 s−2
Logarithm of surface pressure Pa
Temperature K
Specific humidity kg/kg
Eastward wind component m s−1
Northward wind component m s−1
Table 2.1: ERA-Interim upper air parameters on model level used in this study.
2.1 Reanalysis Study 19
35.25
°E
36.00
°E
36.75
°E
37.50
°E
38.25
°E
39.00
°E
39.75
°E
Kilimanjaro
Mt. Kenya
0 125 250
km
500
m
1000 m
1500
m
2000 m
(a)
35.25
°E
36.00
°E
36.75
°E
37.50
°E
38.25
°E
39.00
°E
39.75
°E
Kilimanjaro
Mt. Kenya
0
100
200
300
400
500
600
700
800
m
(b)
Figure 2.1: (a) ERA-Interim reduced Gaussian grid, black dotted grid lines, and topogra-
phy, white contour, and (b) standard deviation of model topography from real topography.
Gridded data products include a large variety of 3-hourly surface parameters,
describing atmospheric as well as ocean-wave and land-surface conditions, and 6-
hourly upper air parameters covering the troposphere and the stratosphere. The
upper air parameters on model levels used to characterize the vertical structure of
the large-scale flow are summarized in Table 2.1. Two aspects of the model are
important to be highlighted:
• Kilimanjaro and Mount Kenya are only few grid points apart.
• The topography which is resolved by the model is not depicting the two isolated
mountains. This is clearly visible Fig. 2.1b which shows the standard deviation
of the model topography from the real topography. The model grid is able to
resolve only a gradually rising plateau that reach its highest point around 2000
m to the west of Mount Kenya (Fig. 2.1a).
Due to the absence of the two peaks in the topography, the ERA-Interim model
is not resolving the local and small-scale circulation resulting form the terrain-
atmosphere interaction, thus the upper air parameters such temperature, wind and
humidity are well representing the large-scale characteristics of the air mass im-
pinging on the two mountains. For this reason the upper air parameters used in
20 Methods
this study are extracted at the closest grid point to Kilimanjaro and Mount Kenya,
which should be most representative for the atmospheric background conditions at
the two sites.
Methodology
The basic idea of this study is to calculate mean and standard deviation of at-
mospheric vertical profiles for each of the precipitation classes. The atmospheric
variables considered relevant for this study and, thus, used to calculate means and
standard deviations of vertical profiles are summarized in Table 2.2. Below, the step
by step procedure is described:
• The atmospheric variables are calculated from the ERA-Interim upper air
parameters shown in table 2.1 extracted at the closest grid point to Kilimanjaro
and Mount Kenya, thus obtaining vertical profiles for every event in each of
the precipitation classes.
• All the vertical profiles, which in the previous step are calculated on model
levels, are then interpolated to constant height levels, spacing from 50 m at
the model bottom to few km at the model top.
• Based on these profiles the arithmetic average and the standard deviation
of all atmospheric variables, except wind direction, are calculated for each
precipitation class. The vector average of wind direction below 8 km is cal-
culated for all precipitation events in each class and then assigned to one of
the reference cardinal directions (N, NE, E, SE, S, SW, W, NW). In order to
avoid meaningless vertical averages, the absence of turning wind with height
Symbol Unit Variable Calculation
Θ K Potential temperature Bolton (1980), eq. 7
Θe K Equivalent pot. temp. Bolton (1980), eq. 43
Θes K Saturation equivalent pot. temp. Bolton (1980), eq. 43
RH % Relative humidity rh = (w/ws)
Wsp m s−1 Wind speed From wind components
Wdr Wind direction From wind components
Table 2.2: Atmospheric variables used in this study and relative formula used in the calcu-
lation. The saturation equivalent potential temperature is computed using the equivalent
potential temperature formula by assuming the air parcel is saturated. w = mass mixing
ratio of water vapor at actual value, ws = mass mixing ratio of water vapor at saturation
value.
2.2 Numerical Model 21
is checked. It is important to note that such a calculation, which comprises
averaging of atmospheric variables over different dates throughout different
seasons, is meaningful only because the study site is located in the tropics,
where seasonality is rather weak.
The described procedure is performed for the three precipitation classes and
also for all the events exceeding 2 cm daily snow mean accumulation. The ERA-
Interim reanalysis parameters necessary for the calculations are available at 00, 06,
12 and 18 UTC, which correspond to 03, 09, 15, 21 East Africa local time (LT).
Only the night time profiles at 00 UTC (03 LT) are analysed which are not affected
by diurnal heating and a convective boundary layer. The idea behind this selection
is that these profiles are also used as initial conditions for the simulations to study,
amongst others, the effect of surface heating on precipitation.
2.2 Numerical Model
In order to asses the role and the impact of the background flow, of the topography
(goal (2) in Chap. 1.3), and of the diurnal cycle (goal (3) in Chap. 1.3) in the
precipitation mechanism over Kilimanjaro and Mount Kenya, idealized numerical
simulation are performed. An idealized numerical model setup typically consists
of a highly idealized topography, e.g., a parametric function, an input sounding,
which is horizontally homogeneous and represents the state of the atmosphere at
the beginning of the simulation, and very few parameterization schemes. Due to its
semplicity an idealized model set-up is the perfect numerical tool to isolate single
effects contributing to precipitation formation. It is in fact possible to perform a
series of simulations with different settings, e.g. turning off diurnal heating at the
surface or slightly changing the input sounding, in order to asses the role of each of
the precipitation mechanisms.
Details about the model setup, the topography and the input sounding used in
the numerical simulations are described as follow.
2.2.1 Model Setup
Numerical simulations are performed with the Weather Research and Forecasting
(WRF) Model, version 3.7., based on the Advanced Reasearch WRF core (Ska-
marock et al. 2008). All simulations run on a single domain with an horizontal grid
spacing of ∆x = ∆y = 1 km to explicitly resolve convective processes. The domain
size is Lx = 1500 km, Ly = 1000 km, and Lz = 25 km in the x, y, and z directions,
respectively. The terrain-following vertical grid uses 100 levels with spacings that
increase from ∆z ≈ 76 m at the surface to 240 m at the top. The lateral boundaries
22 Methods
are open (radiative) and the upper boundary is a rigid wall with a 7-km Rayleigh-
damping layer below to absorb vertically propagating gravity waves. Such a large
domain is used to minimize lateral-boundary interferences in the horizontal (e.g.,
Kirshbaum and Fairman (2015)) and to avoid undesired effects of the damping layer
in the troposphere (see Appendix B). For convenience, the model bottom is fixed
at a reference level of 1300 m above sea level (a.s.l.), since the height of the plains
surrounding the two mountains is overall above 1300 m a.s.l.. From now on for the
rest of the thesis the term above reference level (a.r.l.) will refer to vertical distances
above the reference level, which is 1300 m a.s.l.. Input sounding and topography
will be related to this reference level as a starting point. A detailed description of
the topography used for Kilimanjaro and Mount Kenya and of the input sounding
will follow.
Cloud microphysics is parameterized using the WSM 6-class graupel scheme,
which is a single moment scheme for water vapor, cloud water, cloud ice, snow,
rain and graupel (Hong and Lim 2006). Since graupel is the most expected type of
precipitation on the summit of the two mountains (personal communication) it is
important that this class is well represented in the microphysics scheme. Cumulus
convection is supposed to be resolved explicitly at ∆x = 1 km.
The atmospheric boundary layer is parameterized using the MYNN 2.5 level
TKE scheme (Nakanishi and Niino 2004, 2006). For horizontal smoothing, two-
dimensional Smagorinsky first-order closure is used. Surface momentum fluxes are
parameterized based on the MM5 Monin-Obukhov similarity theory (Monin and
Obukhov 1954). Surface heat fluxes, both sensible and latent, are prescribed as a
sinusoidal-like function, null before 6:00 and after 18:00 and with maximum value
at noon, to simulate an idealized daily cycle. Maximum values at noon of 500 W
m−2, for the surface sensible heat flux, and of 400 W m−2, for the surface latent
heat flux, are used in this study. These values are based on ERA-Interim Reanalysis
data (Fig. 2.2) over the study period October 2010 − February 2012 (same as
in Reanalysis Study). It is important to note that the surface fluxes prescribed
are homogeneous over the whole model domain and thus the impacts of land cover
variability and topography shading are not considered with this idealized approach.
In order to explicitly prescribe the surface heat fluxes a modification to the MM5
Monin-Obukhov scheme was necessary. A detailed description of this modification
can be found in Appendix A.
Other parameterizations such as longwave and shortwave radiation and land-
surface schemes are not necessary since the surface fluxes are prescribed explicitly.
2.2 Numerical Model 23
00:00 03:00 06:00 09:00 12:00 15:00 18:00 21:00 00:002000
200400600800
100012001400
W m
−2
KilimanjaroRnHLE
(a)
00:00 03:00 06:00 09:00 12:00 15:00 18:00 21:00 00:002000
200400600800
100012001400
W m
−2
Mount KenyaRnHLE
(b)
Figure 2.2: Surface net radiation (Rn), surface sensible (H) and latent (LE) heat flux.
Mean and standard deviation, in color shadings, over the period October 2010 − Febru-
ary 2012. Data is from the ERA-Interim Reanalysis. The model grid points used for
Kilimanjaro and Mount Kenya are the same as in the reanalysis study (Chap. 2.1.2).
2.2.2 Input Sounding
The simulations are initialized with a single sounding based on the Reanalysis Study
results. Specifically the input sounding is idealized based on the results of class
BOTH (Fig. 3.5a) at 03 LT (00 UTC), which is also the starting time of the
simulations.
Figure 2.3 shows the idealized input sounding with the required variables to
initialize the simulations: potential temperature, water vapor mixing ratio, relative
humidity and wind speed along both x and y direction. The Reanalysis Study showed
that the most common wind direction during precipitation events is southeasterlies
(SE). In order to maximize the benefit of the channel-like nature of the domain and
to minimize disturbances at the boundaries this wind direction is rotated by 125
clockwise so that the wind is blowing in the x direction of the domain. Following
the model domain and the topography are rotated correspondingly.
The potential temperature profile consists of three layers with different Brunt-
Vaisala frequency N (Table 2.3) with a reference potential temperature at the model
24 Methods
300
350
400
450
500
550
600
650
700
Θ (K)
0
5
10
15
20
25
Heig
ht (k
m a
.r.l.)
0 10 20 30 40 50 60 70 80 90 100
RH (%)
0 2 4 6 8 10 12 14 16qv (g kg−1 )
0 3 6 9 12 15u (m s−1 )
0 3 6 9 12 15v (m s−1 )
Figure 2.3: Idealized input sounding showing potential temperature Θ (K), water vapor
mixing ratio qv (g kg−1), red line, relative humidity (%), green line, wind speed along the
x direction u (m s−1) and wind speed along the y direction v (m s−1). To be noted that
u and v are not the west and south component of the wind but the wind along the x and
y direction of the rotated model domain.
reference level of Θ = 302.5 K. The relative humidity profile is linearly decreasing
from 98% at the model reference level to 0% at 9750 m a.r.l.. Following the water
vapor mixing ratio profile is calculated from the relative humidity profile. The wind
speed in the x direction, u, is linearly increasing from 0 m s−1 at the model reference
level to 9 m s−1 at 2000 m a.r.l. and then it is kept constant. The wind speed in
the y direction, v, is zero since the domain was rotated.
Most of the simulations performed in this study are initialized with the input
sounding here presented. Few simulations are initialized without wind and few
with a relative humidity profile decreasing from 75% (instead of 98%) at the model
reference level to 0% at 7500 m a.r.l..
Vertical structure of potential temperature
Layer 1 z1 = 0 m a.r.l. z2 = 6700 m a.r.l. N1 = 0.0125 s−1
Layer 2 z2 = 6700 m a.r.l. z3 = 14700 m a.r.l. N2 = 0.009 s−1
Layer 3 z3 = 14700 m a.r.l. z4 = 25000 m a.r.l. N3 = 0.0245 s−1
Table 2.3: Vertical structure of potential temperature as represented in the input sound-
ing.
2.2.3 Topography
Two types of approaches are used to represent the topography of Kilimanjaro and
Mount Kenya in this study. First a realistic topography, obtained by a digital
elevation model (DEM), is used to compare the impact of differences in the real
2.2 Numerical Model 25
terrain geometry of the two mountains. Secondly an idealized topography, obtained
by a parametric formula, is used to simplify the model setup, excluding small scale
topographic features, in order to better understand the general mesoscale circulation
characterizing precipitation events over the two mountains.
Real topography
A 1 km mesh size topographic dataset generated from NASA’s Shuttle Radar To-
pography Mission (SRTM) is used to idealize the topography of Kilimanjaro and
Mount Kenya (Farr et al. 2007). First of all the digital elevation model (DEM) of
the two isolated mountains is extracted from the surrounding plains. The DEM of
Kilimanjaro is cut at 1406 m a.s.l and the DEM of Mount Kenya is cut at 1997
m a.s.l.. These two “cut” heights are representing the mean elevation of the plains
surrounding the two mountains. Both topographies are then related to the model
reference level, subtracting 1300 m to each pixel, and placed in the middle of the
model domain. Thus, in the simulations of Kilimanjaro the surface is at 106 m a.r.l.
and in those of Mount Kenya at 697 m a.r.l..
Subsequently, each topography is smoothed using a Gaussian blur in order to
filter noise in the DEM and to ensure that the slope angle does not exceed 30,
which could affect the model stability. Finally the topography is rotated by 125
clockwise in order to adjust to the wind direction of the input sounding. Figures
2.4a and 2.4b show the center of the model domain and the corresponding terrain
for the two mountains.
Table 2.4 shows the important parameters of the topography before and after
the smoothing process. Notice that the final topography used in the simulations
(smoothed) is not completely representing the heights reached by the real mountains;
this is especially true for Mount Kenya. Furthermore the heights of the plains
surrounding the two mountains (“cut” height) differ by about 600 m.
Kilimanjaro (5895 m) Mount Kenya (5199 m)
DEM smoothed DEM smoothed
summit height a.s.l. 5862 m 5629 m 4865 m 4584 m
α 45.00 25.05 45.00 14.79
“cut” height a.s.l. 1406 m 1997 m
model bottom a.s.l. 1300 m 1300 m
Table 2.4: Height, maximum slope angle α and “cut” height as depicted by the SRTM
DEM and after the smoothing process.
26 Methods
h0 x0 y0 B a b
BELL 4000 m a.r.l. 750 500 0 km 3.5 km 3.5 km
YL/XL 4000 m a.r.l. 750 500 10 km 2.5 km 3.5 km
Table 2.5: Parameters of eq. 1 and eq. 2 in Kirshbaum and Durran (2005) used to
construct the three ideal topographies.
Ideal topography
Three ideal topographies are constructed using the parametric formula presented in
Kirshbaum and Durran (2005): BELL, a symmetric bell-shaped mountain, XL, an
elliptically-shaped mountain with an elongated axis on the x direction, and YL, an
elliptically-shaped mountain with an elongated axis on the y direction. Table 2.5
summarizes the parameters of eq. 1 and eq. 2 in Kirshbaum and Durran (2005)
used to construct the three topographies. Notice that XL and YL are obtained
using the same set of parameters, rotating the final topography by 90. XL simplify
and idealize the topography of Kilimanjaro while YL the topography of Mount
Kenya. Figures 2.4c, 2.4d, and 2.4e show the center of the model domain and the
corresponding topography for XL, YL and BELL.
2.2 Numerical Model 27
(a) (b)
(c) (d)
(e)
0 300 600 900 1200 1500km
0
200
400
600
800
1000
km
Model Domain
(f)
Figure 2.4: Center of the model domain with topography contours at 500 m intervals
for: (a) Kilimanjaro, (b) Mount Kenya, (c) XL, (d) YL, and (e) BELL. (f) whole model
domain with Mount Kenya topography, in red the center of the model domain.
28 Methods
2.2.4 Simulations Overview
In this section an overview of the simulations performed is given. All the simulations
start at 03 LT, which is exactly the time of the idealized input sounding, and end at
21 LT for a total of 18 hours running time. This time frame allows for an affordable
computational effort and ensures a spin-up time of 3 hours before surface fluxes
start.
All the simulation using the Kilimanjaro topography will be noted with the
name kibo and those using the Mount Kenya topography with mtk. Three types of
experiments are carried out: a comparison between Kilimanjaro and Mount Kenya,
a sensitivity study for Kilimanjaro and an idealized topography experiment named
Idealized Ridge. Details about the initialization of all the simulations performed in
this study are summarized in Table 2.6 and a brief description of the most important
aspects of each experiment is following below.
Kilimanjaro and Mount Kenya comparison
Name Topo Wind RH S. H. F.
kibo ALL kibo yes 98% yes
kibo F kibo no 98% yes
kibo W kibo yes 98% no
mtk ALL mtk yes 98% yes
mtk F mtk no 98% yes
mtk W mtk yes 98% no
mtk ALLsh mtk sh yes 98% yes
Sensitivity Study for Kilimanjaro
Name Topo Wind RH S. H. F.
kibo ALL kibo yes 98% yes
kibo rh75 kibo yes 75% yes
kibo F0.5 kibo yes 98% halved
kibo F0.5rh75 kibo yes 75% halved
Idealized Ridge
Name Topo Wind RH S. H. F.
BELL BELL yes 98% yes
XL XL yes 98% yes
YL YL yes 98% yes
Table 2.6: Overview summarizing the simulations performed in this study. Details about
the acronym (name), topography (topo), input sounding (Wind and RH at the model
reference level), and surface heat fluxes (S. H. F.) used are given.
2.2 Numerical Model 29
Kilimanjaro and Mount Kenya comparison
This experiment aims to investigate the differences in processes producing precipi-
tation on Kilimanjaro and Mount Kenya, with particular focus on the topography.
It consists in a set of 3 simulations for each mountain (Table 2.6). ALL is the refer-
ence simulation for both mountains, it is initialized with the surface heat fluxes and
the input sounding described in Chap. 2.2.1 and Chap. 2.2.2. Its purpose is to re-
produce the typical situation favouring precipitation at the two study site, allowing
the evaluation of the combined effect of the topography, of the background flow and
of the surface heat fluxes. F is a type of simulation similar to ALL, with the only
difference that the wind specified in the input sounding is set to zero. Its purpose is
to evaluate the pure effect of the surface fluxes in the precipitation mechanisms. W
is a type of simulation similar to ALL, with the only difference that the surfaces heat
fluxes are set to zero. Its purpose is to evaluate the potential of the background flow
in the precipitation mechanisms. Finally ALLsh is a type of simulation performed
only for Mount Kenya. It is called ALLsh, standing for ALL same height, and it
consists in the same type of simulation as ALL but with the height of the plains
surrounding Mount Kenya lowered to be same as for Kilimanjaro.
Sensitivity study for Kilimanjaro
In order to investigate the sensitivity of each of the processes producing precipitation,
a set of few simulations are performed for Kilimanjaro only. They are summarized
in Table 2.6. rh75 is a type of simulation in which the prescribed relative humidity
at the surface is 75% instead of 98%, as already explained in Chap. 2.2.2. F0.5 is
a type of simulation in which the intensity of the surface heat fluxes prescribed is
halved. In particular the maximum values at noon of the surface sensible and latent
heat flux are halved from 500 W m−2 to 250 W m−2 and from 400 W m−2 to 200 W
m−2, respectively. Finally F0.5rh75 is a type of simulation in which surface heat
fluxes are halved, like in F0.5, and relative humidity is prescribed as in rh75. The
purpose of these simulations is to investigate the role of the moisture content of the
background flow and to further evaluate the effect of the surface heat fluxes in the
precipitation mechanisms.
Idealized Ridge
Three simulations are performed with the three ideal topographies described in
Chap. 2.2.3 and the same input sounding as well as surface heat fluxes of the
simulation type ALL (Table 2.6). The basic idea of the experiment is to idealize
the real topographies of Kilimanjaro and Mount Kenya with same idealized ridge.
The only difference between the simulations XL and YL is the orientation of the
30 Methods
ridge respect to the impinging background flow. The purposes of this experiment
are mainly two: to further simplify the atmospheric setting simulated by the model
in order gain a better understanding of the basic mechanisms of precipitation and
to investigate the role of the background flow direction.
Chapter 3
Reanalysis Study
3.1 Classification of Precipitation Events
This chapter summarizes the main outcomes of the classification of precipitation
events over Kilimanjaro and Mount Kenya.
Figure 3.1 shows a summary of the total seasonal snow accumulation recorded
by the AWSs at the two summits. For the analysis the solar year is divided into four
periods, as already presented in Chap. 1.2.1, two rain seasons, MAM (long rains)
and OND (short rains), and two dry seasons, JF and JJAS. Over the whole study
period, October 2010 − February 2012, the AWS on Kilimanjaro recorded a total
of 2.51 m of snow accumulation while the AWS on Mount Kenya recorded a total
of 3.15 m. Snow accumulation on Kersten glacier (Kilimanjaro) is almost equally
distributed over the study period. Rain seasons (grey shadings) exhibit higher values
of snow accumulation while dry seasons lower values. Snow accumulation at Lewis
glacier (Mount Kenya) is less equally distributed, with more than 60% of the total
OND 2010 JF 2011 MAM 2011 JJAS 2011 OND 20110.0
0.2
0.4
0.6
0.8
1.0
1.2
Snow
Acc
umul
atio
n (m
)
23%
19%
6%
15% 10%
24%
27%
14%
34%
28%
Mt. Kenya: 3.15 m Kilimanjaro: 2.51 m
Figure 3.1: Total seasonal snow accumulation on Kilimanjaro (red) and Mount Kenya
(blue) as recorded by AWSs on the summits. On top of the bar is shown the percentage
relative to the study period October 2010− February 2012. Grey shadings indicate tropical
East Africa rain seasons.
31
32 Reanalysis Study
Nov 2010Jan 2011
Mar 2011
May 2011Jul 2011
Sep 2011
Nov 2011Jan 2012
0.00
0.02
0.04
0.06
0.08
0.10
0.12
0.14
Snow
Acc
umul
atio
n (m
) Mt. Kenya: 51 eventsKilimanjaro: 40 events
(a)
Nov 2010Jan 2011
Mar 2011
May 2011Jul 2011
Sep 2011
Nov 2011Jan 2012
0.00
0.02
0.04
0.06
0.08
0.10
0.12
0.14
Snow
Acc
umul
atio
n (m
) Mt. Kenya: 19 eventsKilimanjaro: 7 events
(b)
Figure 3.2: Precipitation events on Kilimanjaro (red) and Mount Kenya (blue) exceeding
(a) 2 cm and (b) 4 cm of daily snow accumulation during the study period October 2010
− February 2012. Grey shadings indicate tropical East Africa rain seasons, the green line
indicates the 2 cm and 4 cm threshold.
snow accumulation recorded during the last two periods, JJAS 2011 and OND 2011.
Notice, the exceptional high amount of snow accumulation recorded during the dry
season JJAS 2011 compared to the very little amount recorded during the rain
season MAM 2011. The most wet period is for both location the rain season OND
2011; the most dry period is the dry season JF 2011 for Mount Kenya and both dry
seasons, JF 2011 and JJAS 2011, for Kilimanjaro.
Figure 3.2a shows a summary of all the precipitation events exceeding 2 cm
snow accumulation. The total number of precipitation days on Kilimanjaro is 40
and on Mount Kenya 51, resulting in 27.5% more events on Mount Kenya. During
the study period precipitation events do not only occur in the rain seasons but also in
the dry seasons. Precipitation events reaching the two summits are homogeneously
distributed throughout the whole study period, a part from two very dry months
(June 2011 and February 2012).
Figure 3.2b is showing the same as Fig. 3.2a but with a 4 cm threshold used
in the analysis. In this case the number of precipitation events on Kilimanjaro is
3.1 Classification of Precipitation Events 33
Nov 2010Jan 2011
Mar 2011
May 2011Jul 2011
Sep 2011
Nov 20110.00
0.02
0.04
0.06
0.08
0.10
0.12
0.14
Snow
Acc
umul
atio
n (m
) 9 periods with accumulation on both mountains
Class BOTH
Mt. KenyaKilimanjaro
(a)
Nov 2010Jan 2011
Mar 2011
May 2011Jul 2011
Sep 2011
Nov 20110.00
0.02
0.04
0.06
0.08
0.10
0.12
0.14
Snow
Acc
umul
atio
n (m
) 5 periods with accumulation only on Mount Kenya
Class MTK
Mt. KenyaKilimanjaro
(b)
Nov 2010Jan 2011
Mar 2011
May 2011Jul 2011
Sep 2011
Nov 20110.00
0.02
0.04
0.06
0.08
0.10
0.12
0.14
Snow
Acc
umul
atio
n (m
) 8 periods with accumulation only on Kilimanjaro
Class KIBO
Mt. KenyaKilimanjaro
(c)
Figure 3.3: Daily snow accumulation during precipitation events on Kilimanjaro (red)
and Mount Kenya (blue) for: (a) class BOTH, (b) class MTK, and (c) class KIBO. Grey
shadings indicate tropical East Africa rain seasons, the green line indicates the 2 cm
threshold.
34 Reanalysis Study
7 and on Mount Kenya 19, resulting in more than double events recorder by the
AWS on Lewis glacier. In this case most of the precipitation events focuses during
the rain seasons OND 2010 and OND 2011; the rain season MAM 2011 presents
only two case, one on Kilimanjaro and one on Mount Kenya, with more than 4 cm
accumulation.
Figure 3.3 shows the final results of the classification of precipitation events
over Kilimanjaro and Mount Kenya. Class BOTH shows evidence of similarity with
Fig. 3.2, most of the precipitation events occur in the the rain seasons OND 2010
and OND 2011 while only few events occur in the other periods. On the other hand
class MTK and class KIBO seems to reveal opposite behaviour. All the precipitation
events in the class MTK occur in the two periods JJAS 2011 and OND 2011 while
most of the precipitation events in the class KIBO occur in the periods OND 2010,
JF 2011, and MAM 2011. Notice, that both class MTK and class KIBO count less
events than class BOTH.
3.2 ERA-Interim Reanalysis
This chapter summarizes the results of the ERA-Interim reanalysis data study for
the three precipitation classes, class BOTH, class MTK, and class KIBO, and for
all the precipitation events exceeding 2 cm of snow accumulation, class ALL.
First of all it is important to highlight the processing of the wind direction in this
analysis. Vector average and standard deviation of wind direction on constant height
levels are calculated for each of the four classes. Figure 3.4 shows the results of the
averaging process. The wind direction is nearly constant in the lower troposphere
for each class, with no evidence of wind turning in the lower 8 km except from close
to the surface. Class BOTH and class ALL show a strong evidence of constant wind
direction in the lower atmosphere. For class MTK and class KIBO the evidence is
not so strong, but it must be noted that for this two classes the number of events on
which the average is based is relatively small. Since the wind direction is not turning
in the lower troposphere it is possible to calculate the vector average of wind direction
below 8 km for each precipitation events in each class. The vertically averaged wind
direction is then assigned to one of the reference cardinal directions (N, NE, E, SE,
S, SW, W, NW). Finally a bar plot showing the number of precipitation events for
each cardinal direction is created for all the four precipitation classes.
Figure 3.5 summarizes the main results of the ERA-Interim reanalysis data
study for the four precipitation classes. For each class mean vertical profiles and
standard deviation of Θ, Θe, Θes, RH and Wsp are shown for Kilimanjaro (red) and
Mount Kenya (blue). The wind direction bar plot is as described above.
3.2 ERA-Interim Reanalysis 35
N E S W NWind Direction
0
2
4
6
8
10
12He
ight
(km
a.s
.l.)
Class BOTH
(a)
N E S W NWind Direction
0
2
4
6
8
10
12
Heig
ht (k
m a
.s.l.
)
Class MTK
(b)
N E S W NWind Direction
0
2
4
6
8
10
12
Heig
ht (k
m a
.s.l.
)
Class KIBO
(c)
N E S W NWind Direction
0
2
4
6
8
10
12
Heig
ht (k
m a
.s.l.
)
Class ALL
(d)
Figure 3.4: Vector average and standard deviation of wind direction at 00 UTC for: (a)
class BOTH, (b) class MTK, (c) class KIBO, and (d) class ALL.
• Class BOTH: vertical profiles at the two locations are very similar. Profiles
of Θ are almost identical. A decreasing Θe and Θes below 4 km denote a po-
tentially and a conditionally unstable layer respectively. RH and Wsp profiles
show a greater standard deviation but a very similar behaviour. Mean wind
speed in the lower 4 km at Kilimanjaro is about 2 m s−1 to 3 m s−1 higher
than at Mount Kenya. The most common wind directions during the events
are SE and E.
• Class MTK: vertical profiles at the two locations are similar, but not as similar
as in class BOTH. Profiles of Θ are almost identical. The most important
difference is that RH is by about 10% to 20% higher at Mount Kenya than
at Kilimanjaro. A decreasing Θe, between 2 km and 5 km at Mount Kenya
and below 3 km at Kilimanjaro, denotes a potentially unstable layer. Overall
higher Θe for Mount Kenya is a result of higher RH, especially in the lower
4 km. A decreasing Θes, below 4 km at Mount Kenya and between 3 km and
4 km at Kilimanjaro, denotes a conditionally unstable layer; notice that at
Kilimanjaro Θes increases with height between 2 km and 3 km . Mean wind
speed at Mount Kenya is the lower of the whole study. The dominant wind
direction at Mount Kenya is SE.
• Class KIBO: vertical profiles at the two locations are very similar. The pro-
files of this class are almost identical to the ones of class BOTH. The most
important difference is that RH between 4 km and 8 km is by about 10% to
20% higher at Kilimanjaro than at Mount Kenya. A decreasing Θe and Θes be-
low 4 km denote a potentially and a conditionally unstable layer respectively.
The dominant wind direction at Kilimanjaro is SE.
36 Reanalysis Study
• Class ALL: vertical profiles at the two locations are very similar. A decreasing
Θe and Θes below 4 km denote a potentially and a conditionally unstable layer
respectively. The dominant wind directions during the events are S, SE and
E, with a relative high number of events with SW wind direction at Mount
Kenya.
3.2 ERA-Interim Reanalysis 37
300
310
320
330
340
350
Θ (K)
0
2
4
6
8
10
12He
ight
(km
a.s
.l.)
320
330
340
350
360
Θe (K)
330
340
350
360
370
Θes (K)
0 20 40 60 80 100
RH (%)
0 5 10 15 20 25 30
Wsp (m s−1 )
0 5 10 15 20
Number of Events
NEE
SES
SWW
NWN
Win
d Di
rect
ion
KilimanjaroMt. Kenya
Class BOTH
(a)
300
310
320
330
340
350
Θ (K)
0
2
4
6
8
10
12
Heig
ht (k
m a
.s.l.
)
320
330
340
350
360
Θe (K)
330
340
350
360
370
Θes (K)
0 20 40 60 80 100
RH (%)0 5 10 15 20 25 30
Wsp (m s−1 )
0 5 10 15 20
Number of Events
NEE
SES
SWW
NWN
Win
d Di
rect
ion
KilimanjaroMt. Kenya
Class MTK
(b)
300
310
320
330
340
350
Θ (K)
0
2
4
6
8
10
12
Heig
ht (k
m a
.s.l.
)
320
330
340
350
360
Θe (K)
330
340
350
360
370
Θes (K)
0 20 40 60 80 100
RH (%)
0 5 10 15 20 25 30
Wsp (m s−1 )
0 5 10 15 20
Number of Events
NEE
SES
SWW
NWN
Win
d Di
rect
ion
KilimanjaroMt. Kenya
Class KIBO
(c)
300
310
320
330
340
350
Θ (K)
0
2
4
6
8
10
12
Heig
ht (k
m a
.s.l.
)
320
330
340
350
360
Θe (K)
330
340
350
360
370
Θes (K)
0 20 40 60 80 100
RH (%)
0 5 10 15 20 25 30
Wsp (m s−1 )
0 5 10 15 20
Number of Events
NEE
SES
SWW
NWN
Win
d Di
rect
ion
KilimanjaroMt. Kenya
Class ALL
(d)
Figure 3.5: Mean vertical profiles and standard deviation at 00 UTC of Θ, Θe, Θes, RH
and Wsp at Kilimanjaro (red) and Mount Kenya (blue) for: (a) class BOTH, (b) class
MTK, (c) class KIBO, and (d) class ALL. The wind direction bar plot is showing the
number of precipitation events for each cardinal direction.
38
Chapter 4
Idealized Numerical Simulations
The results of the numerical simulations are here presented. All the types of simu-
lations as well as the model setup are described in Chap. 2.2.
A note about the figures presented has to be made. Being the aim of this study
to identify main differences as well as different precipitation mechanisms most of
the figures show fields of atmospheric parameters averaged in time over the whole
simulation. This is done in order to highlight stationary patterns. For example
figures showing mean of water vapor mixing ratio are used to identify the location
where clouds typically form and thus where the occurrence of precipitation is max-
imized. Furthermore it is important to keep in mind that the real topographies of
the two mountains are rotated by 125 clockwise and that the reference level of the
model is fixed at 1300 m a.s.l.. Finally an area of interest (AOI) is introduced, it
is represented for both mountains by a 300 km by 300 km centered in the relative
summits. This AOI is used to calculate mean of accumulated precipitation.
4.1 Kilimanjaro and Mount Kenya Comparison
The results of the comparison experiment between Kilimanjaro and Mount Kenya
are here presented. A total of 7 simulations are performed in this comparison, 3
for Kilimanjaro (kibo ALL, kibo F and kibo W) and 4 for Mount Kenya (mtk ALL,
mtk F, mtk W and mtk ALLsh). First the results of the simulations type W are
presented, followed by type F and type ALL, mtk ALLsh will be presented apart.
Figures are at the end of the chapter.
Simulations type W
The simulation type W focuses on studying the effects of the interaction between
the background flow and the topography, prescribed surface heat fluxes are 0. The
main results are shown in Fig. 4.1 for Kilimanjaro and in Fig. 4.2 for Mount Kenya.
39
40 Idealized Numerical Simulations
β ε
Kilimanjaro 0.68 6.02
Mount Kenya 1.54 3.69
Table 4.1: Horizontal aspect ratio β and non-dimensional mountain height ε for Kili-
manjaro and Mount Kenya.
In both cases the interaction of the background flow with the topography lead
to the “flow around” regime with formation of lee vortices (Fig. 4.1d and 4.2d).
The flow reversal on the lee side of the mountain is rather weak, with very low wind
speeds for Kilimanjaro (Fig. 4.1b) while for Mount Kenya it is stronger (Fig. 4.2b).
The non-dimensional mountain height ε and the horizontal aspect ratio β, as
described by Epifanio (2015), are shown in Table 4.1. The non-dimensional moun-
tain height ε = Nh/U is calculated assuming that the atmosphere is unsaturated,
considering mean values of N and U below crest height. If these parameters are
compared with the flow regimes diagram for stratified flow past an isolated moun-
tain (Fig. 1.5), the regime expected for both Kilimanjaro and Mount Kenya is flow
splitting with lee vortices, which is exactly what can be observed in the simula-
tions. Furthermore the horizontal aspect ratio β shows that both mountains have
an overall similar elliptical shape but with different orientations respect the main
background flow direction.
The precipitation distribution is different on the two mountain. For Kilimanjaro
the accumulated precipitation (Fig. 4.1a) exhibits higher rates and it is located
mainly on the lee side concurrently with the lee vortices, precipitation occurs also
on the windward side most likely due to orographic lifting. For Mount Kenya the
accumulated precipitation over the whole simulation (Fig. 4.2a) is very low, it is
located only on the windward side of the mountain and it is occurring all in the first
hour of the simulation (Fig. 4.8a), this indicates that precipitation is occurring due
to orographic lifting while the model reach the steady state.
This type of simulation is the one with the lowest accumulated precipitation of
the whole set for both mountains (Fig. 4.8a). Accumulated precipitation at the end
of the simulation averaged over the AOI is about 0.03 mm at Kilimanjaro and less
than 0.01 mm at Mount Kenya. Furthermore significant precipitation, more than
0.01 mm, does not reach the summit areas (Fig. 4.9a).
Simulations type F
The simulation type F focuses on studying the effects of the surface heat fluxes,
parameterizing the daily cycle, on the precipitation mechanisms. The main results
are shown in Fig. 4.3 for Kilimanjaro and in Fig. 4.4 for Mount Kenya.
4.1 Kilimanjaro and Mount Kenya Comparison 41
In both cases results show evidence of a well developed slope wind circulation
driven by the the surface sensible heat flux. Accumulated precipitation is found on
the slopes with its maximum over the summits (Fig. 4.3a and 4.4a). Both the cross
sections (Figs. 4.3b-c and 4.4b-c) exhibit the strongest updrafts close to the two
summits leading to the development of sustained clouds during the whole simulation.
Finally Figs. 4.3d-e and 4.4d-e show the average location of vertical updraft and
cloud formation, with a higher water vapor mixing ratio close to summits elevations.
This type of simulation is the one with the highest accumulated precipitation
(Fig. 4.8b). Accumulated precipitation at the end of the simulation averaged over
the AOI is about 2.28 mm at Kilimanjaro and about 1.70 mm at Mount Kenya.
Furthermore the precipitation maximum is located close to the two summit area
(Fig. 4.9b).
Simulations type ALL
The simulation type ALL focuses on studying the combined effect resulting from the
interaction of the surface fluxes and the background flow with the topography, and
it is the closest to reality. The main results are shown in Fig. 4.5 for Kilimanjaro
and in Fig. 4.6 for Mount Kenya.
In both cases the interaction of the background flow with the topography lead
to the “flow around” regime, as in the case W but with some difference. In the
lee of Mount Kenya two counter-rotating lee vortices form (Fig. 4.6d); in the lee
of Kilimanjaro there is no evidence of lee vortices (Fig. 4.5d), nevertheless, the
orientation of the streamlines indicates convergence on the leeward side. For Mount
Kenya the flow reversal on the lee side (Fig. 4.6b), due to the vortices, is evident and
well developed while for Kilimanjaro it is not (Fig. 4.5b). Accumulated precipitation
exhibits its maximum on the lee side for both mountains, with two drier flanks
originating from the lateral sides of the mountains (Fig. 4.5a and 4.6a). Cross
sections for Kilimanjaro shows a strong asymmetry in the mean cloud structure
(Fig. 4.5b and 4.5c). Clouds are almost only located on the lee side, which is
also reflected in the accumulated precipitation. This asymmetry is not so strong
for Mount Kenya (Fig. 4.6b and 4.6c) where clouds and precipitation also form
on the windward side of the mountain. Furthermore the cross sections across flow
direction highlight another evident difference: an upslope/downslope circulation is
well developed on the lateral slope of Kilimanjaro/Mount Kenya.
Accumulated precipitation in this type of simulation is lower than in the type F
but significantly higher than in the type W (Fig. 4.8c). Accumulated precipitation
at the end of the simulation averaged over the AOI is about 1.94 mm at Kilimanjaro
and about 1.39 mm at Mount Kenya. Precipitation maximum is located close to
the two summit (Fig. 4.9c).
42 Idealized Numerical Simulations
Simulations type ALLsh
The simulation type ALLsh is a particular simulation for Mount Kenya in which the
reference height of the topography is the same as for the Kilimanjaro simulation The
purpose, is to evaluate the impact of the altitude of the plateau surrounding the two
mountains. From the simulations type W, F, and ALL (Figs. 4.8a-c) there is evi-
dence that accumulated precipitation at Mount Kenya is always lower. In particular
in the two simulations with significant accumulated precipitation, type F and ALL,
the accumulated precipitation at the end of the simulation averaged over the AOI
at Mount Kenya is in both cases about 0.5 mm lower than at Kilimanjaro. This
could be the result of a higher “cut” height, which means that the surface is placed
at an higher altitude in the model for the simulation on Mount Kenya, resulting in
a lower moisture content of the lower part of the atmosphere that interacts with the
terrain.
The main results of the simulation type ALLsh for Mount Kenya are shown in
Fig. 4.7. The comparison with Fig. 4.6 leads to the conclusion that the processes
characterizing the two simulations are the same (formation of two counter-rotating
lee vortices, flow reversal, etc.) although the accumulated precipitation is higher in
the simulation ALLsh (Fig. 4.8d). In particular the accumulated precipitation at
the end of the simulation ALLsh averaged over the AOI is about 1.85 mm, much
closer to the one at Kilimanjaro (1.94 mm). From Fig. 4.9d can be clearly seen how
the accumulated precipitation close to the surface (altitude band 0−700 m a.r.l.) is
almost the same between the two locations. At higher altitude bands (700−2700 m
a.r.l.) Mount Kenya shows a higher median. Accumulated precipitation maximum
is located both on the windward side and on the lee side of Mount Kenya (Fig.
4.7a), showing contrast with the strong asymmetry of Kilimanjaro.
43
44 Idealized Numerical Simulations
(a)
(b) (c)
(d) (e)
Figure 4.1: Simulation kibo W: (a) accumulated precipitation (mm) at the end of the
simulation, as color contour, and cross sections path, as red lines; cross section (b) parallel
and (c) perpendicular to the background flow direction showing the mean over the whole
simulation of θ (K), as red contour lines, total hydrometeor mixing ratio (g kg−1), as color
contours, and wind component parallel to the cross section (m s−1), as vector; mean over
the whole simulation of streamlines and vertical velocity (m s−1), as color contours, at (d)
950 m. a.r.l. and (e) 2950 m. a.r.l..
4.1 Kilimanjaro and Mount Kenya Comparison 45
(a)
(b) (c)
(d) (e)
Figure 4.2: Simulation mtk W: as in Fig. 4.1.
46 Idealized Numerical Simulations
(a)
(b) (c)
(d) (e)
Figure 4.3: Simulation kibo F: (a), (b), and (c) as in Fig. 4.1; mean over the whole
simulation of (d) vertical velocity (m s−1), as color contour, and (e) total hydrometeor
mixing ratio (g kg−1), as color contour, at 4200 m a.r.l..
4.1 Kilimanjaro and Mount Kenya Comparison 47
(a)
(b) (c)
(d) (e)
Figure 4.4: Simulation mtk F: (a), (b), and (c) as in Fig. 4.1; mean over the whole
simulation of (d) vertical velocity (m s−1), as color contour, and (e) total hydrometeor
mixing ratio (g kg−1), as color contour, at 3450 m a.r.l..
48 Idealized Numerical Simulations
(a)
(b) (c)
(d) (e)
Figure 4.5: Simulation kibo ALL: as in Fig. 4.1.
4.1 Kilimanjaro and Mount Kenya Comparison 49
(a)
(b) (c)
(d) (e)
Figure 4.6: Simulation mtk ALL: as in Fig. 4.1.
50 Idealized Numerical Simulations
(a)
(b) (c)
(d) (e)
Figure 4.7: Simulation mtk ALLsh: as in Fig. 4.1.
4.1 Kilimanjaro and Mount Kenya Comparison 51
03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 2103 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21Time of the day
0.00
0.01
0.02
0.03
m. a
. p. (
mm
)
kibo = 0.0277 mmmtk = 0.0009 mm
Kilimanjaro Mt. Kenya
(a)
03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 2103 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21Time of the day
0.00.51.01.52.02.5
m. a
. p. (
mm
)
kibo = 2.28 mmmtk = 1.70 mm
Kilimanjaro Mt. Kenya
(b)
03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 2103 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21Time of the day
0.00.51.01.52.02.5
m. a
. p. (
mm
)
kibo = 1.94 mmmtk = 1.39 mm
Kilimanjaro Mt. Kenya
(c)
03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 2103 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21Time of the day
0.00.51.01.52.02.5
m. a
. p. (
mm
)
kibo = 1.94 mmmtk = 1.85 mm
Kilimanjaro Mt. Kenya
(d)
Figure 4.8: Accumulated precipitation averaged over the AOI for: (a) simulation type
W, (b) simulation type F, (c) simulation type ALL, and (d) simulation mtk ALLsh with
simulation kibo ALL. The text box is showing the accumulated precipitation averaged
over the AOI at the end of the simulation at Kilimanjaro (kibo) and Mount Kenya (mtk).
52 Idealized Numerical Simulations
0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6Accumulated Precipitation (mm)
0
700
1700
2700
3700
4700
Altit
ude
Band
s (m
a.r.
l.)
Mt. KenyaKilimanjaro
(a) Simulation type W
0 50 100 150 200 250Accumulated Precipitation (mm)
0
700
1700
2700
3700
4700
Altit
ude
Band
s (m
a.r.
l.)Mt. KenyaKilimanjaro
(b) Simulation type F
0 10 20 30 40 50 60Accumulated Precipitation (mm)
0
700
1700
2700
3700
4700
Altit
ude
Band
s (m
a.r.
l.)
Mt. KenyaKilimanjaro
(c) Simulation type ALL
0 10 20 30 40 50 60Accumulated Precipitation (mm)
0
700
1700
2700
3700
4700
Altit
ude
Band
s (m
a.r.
l.)
Mt. KenyaKilimanjaro
(d) Simulation type ALLsh.
Figure 4.9: Boxplot of accumulated precipitation averaged over altitude bands in the
AOI for: (a) simulation type W, (b) simulation type F, (c) simulation type ALL, and (d)
simulation mtk ALLsh with simulation kibo ALL. The boxplot shows median, 25th and
75th percentile, wiskers show the minimum and the maximum values. Altitude bands are
the following: 0 − 700 m a.r.l., 700 − 1700 m a.r.l., 1700 − 2700 m a.r.l., 2700 − 3700 m
a.r.l. and 3700− 4700 m a.r.l..
4.2 Sensitivity Study for Kilimanjaro 53
4.2 Sensitivity Study for Kilimanjaro
The results of the sensitivity study on Kilimanjaro are here presented. A total of 4
simulations are performed with varying surface sensible and latent heat fluxes and
moisture content as described in Chap. 2.2
Figure 4.10 shows a boxplot of accumulated precipitation over the whole simu-
lation on altitude bands. The simulation type ALL is showing the highest median
at the lowest elevation band (0 − 700 m a.r.l.) and at the highest (3700 − 4700
m a.r.l.), while at mid elevations (700 − 4700 m a.r.l.) the median is very close
to the one of simulation type F0.5. The simulation type rh75 shows surprisingly
high accumulated precipitation values at high altitudes, with a median very close to
the type ALL. These two type of simulations (ALL and rh75) show an increase in
median with height, indicating that the precipitation maximum is located close to
the summit of Kilimanjaro. On the other hand simulation type F0.5 and F0.5rh75
show a precipitation maximum located at mid elevations. As expected the simula-
tion type F0.5rh75 shows the lowest accumulated precipitation values at all altitude
bands. However only few grid points are located in the highest elevation band
(3700 − 4700 m a.r.l.), for this reasons the representativeness of Fig. 4.10 at this
height is questionable.
Figure 4.11 shows accumulated precipitation averaged over the AOI (Fig. 4.11a)
and over the summit area of Kilimanjaro (Fig. 4.11b). With summit area it is in-
tended the area covering 1000 m in vertical below the highest point of the topography
(altitude band 3300 m a.r.l. - 4300 m a.r.l.). Notice that the mean accumulated pre-
cipitation at the end of the simulations changes between the AOI and the summit.
For the AOI the maximum value is found in the simulation types ALL, followed by
the simulation type F0.5; while for the summit area the maximum value is found in
the simulation type rh75, followed by the simulation type ALL.
Figure 4.12 shows the distribution of the accumulated precipitation at the end
of each simulation. The overall U-shaped pattern is very similar in all simulations
except from the magnitude.
54 Idealized Numerical Simulations
0 10 20 30 40 50 60 70Accumulated Precipitation (mm)
0
700
1700
2700
3700
4700
Altit
ude
Band
s (m
a.r.
l.)
88230
1046
510
191
23
#
ALLrh75F0.5F0.5rh75
Figure 4.10: As in Fig. 4.9 but for the simulation type ALL, rh75, F0.5, and F0.5rh75 at
Kilimanjaro. On the right the number of grid points (#) at each altitude band is shown.
03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 2103 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21Time of the day
0.0
0.5
1.0
1.5
2.0
m. a
. p. (
mm
)
AOI
ALL = 1.94 mmrh75 = 0.29 mmF0.5 = 0.87 mmF0.5rh75 = 0.03 mm
(a)
03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 2103 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21Time of the day
05
1015202530
m. a
. p. (
mm
)
SUMMIT AREA (3300 - 4300 m a.r.l.)
ALL = 20.56 mmrh75 = 25.42 mmF0.5 = 10.76 mmF0.5rh75 = 8.17 mm
(b)
Figure 4.11: Accumulated precipitation averaged (a) over the AOI and (b) over the
summit area (altitude band 3300−4300 m a.r.l.) for the simulation type ALL, rh75, F0.5,
and F0.5rh75 at Kilimanjaro. In the legend values of averaged accumulated precipitation
at the end of each simulation are shown.
4.2 Sensitivity Study for Kilimanjaro 55
(a) (b)
(c) (d)
Figure 4.12: Accumulated precipitation (mm) at the end of the simulation for: (a) sim-
ulation kibo ALL, (b) simulation kibo F0.5, (c) simulation kibo rh75, and (d) simulation
kibo F0.5rh75.
56 Idealized Numerical Simulations
4.3 Idealized Ridge
The results of the idealized topography experiment are here presented. A total of
three simulations are performed as described in Chap. 2.2. The simulation BELL
uses a symmetric bell-shaped mountain, XL uses an elliptically-shaped mountain
with an elongated axis on the x direction and YL uses an elliptically-shaped moun-
tain with an elongated axis on the y direction.
Figure 4.13 shows the accumulated precipitation averaged over the mountain for
the three simulations. Grid points located on the plain surrounding the topography
are excluded from the average. It is clearly visible how XL is experiencing by far
the highest accumulated precipitation, with a value of 5.67 mm at the end of the
simulation, while BELL and YL are very similar in behaviour, with values of 3.39
mm and 3.41 mm, respectively.
Figures 4.14 and 4.15 show the most important results of the 3 simulations,
including accumulated precipitation, streamlines and vertical velocity and cross sec-
tions along and across flow direction passing through the summit and the center
point of the domain (cross section paths are shown Figs. 4.14a,c,e). In these figures
the similarity between the simulations BELL and YL can be observed again. They
both show an evident “flow around” regime with formation of lee vortices, larger in
YL than in BELL (Figs. 4.14b,f). The accumulated precipitation distribution has it
maximum on the lee side of the mountain, with a characteristic “U” shape pattern,
determined by the circulation driven by the two counter rotating lee vortices (Figs.
4.14b,f). In the leeward side of the mountain the wind is in fact either very low
(BELL) or directed towards the mountain (YL) contributing to the upslope trans-
port of moist air already driven by the surface sensible heat flux (Figs. 4.15a,e).
Two symmetric flanks can be observed also in the precipitation minimum, which
again appear to be wider in the simulation YL. These dry zones are to be associated
with subsidence which can be seen in the vertical velocity in both Figs. 4.14b,f and
03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 2103 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21Time of the day
0123456
m. a
. p. (
mm
)
BELL = 3.39 mmXL = 5.67 mmYL = 3.41
BELL XL YL
Figure 4.13: Accumulated precipitation averaged over the mountain for the simulations:
BELL, XL, and YL. The text box is showing the accumulated precipitation averaged over
the mountain at the end of the simulation.
4.3 Idealized Ridge 57
Figs. 4.15b,f.
The situation is different for the simulation XL, the flow regime is again of
the type “flow around” but without lee vortices (Fig. 4.14d). The precipitation
maximum is located on leeward side of the mountain (Fig. 4.14c) at the same
location as the vertical velocity maximum (Fig. 4.15c) and it is not showing the
particular symmetric shape seen in BELL and YL. The precipitation minimum is
organized in two symmetric flanks also in this case, but they are less pronounced
than in the previous two cases. The cross section perpendicular to the background
flow is showing a well developed updraft along the lateral slope (Fig. 4.15d), which
is in contrast to the flow pattern in BELL and YL. The cross section parallel to
the background flow is showing a strong downslope wind on the leeward side of the
mountain, which is again in contrast to the flow pattern in BELL and YL.
58 Idealized Numerical Simulations
(a) (b)
(c) (d)
(e) (f)
Figure 4.14: Results of the simulations: (a-b) BELL, (c-d) and XL, and (e-f) YL. (a),
(c), and (e) accumulated precipitation (mm) at the end of the simulation, as color contour,
and cross sections path, as red lines; (b), (d), and (f) mean over the whole simulation of
streamlines and vertical velocity (m s−1), as color contours, at (d) 1950 m. a.r.l..
4.3 Idealized Ridge 59
(a) (b)
(c) (d)
(e) (f)
Figure 4.15: Results of the simulations: (a-b) BELL, (c-d) and XL, and (e-f) YL. Cross
section (a), (c), and (e) parallel and (b), (d), and (f) perpendicular to the background
flow direction showing the mean over the whole simulation of θ (K), as black contour
lines, vertical velocity (m s−1), as color contours, total hydrometeor mixing ratio, as
colored contour lines (green 0.1 kg−1, purple 0.4 g kg−1 and indigo 1.0 g kg−1), and wind
component parallel to the cross section (m s−1) as vector.
60
Chapter 5
Discussion
5.1 Reanalysis Study
In this chapter the results of the reanalysis study, presented in Chap. 3, are dis-
cussed. The results of the classification of precipitation events and of the ERA-
Interim reanalysis are discussed separately.
The classification of precipitation events on Kilimanjaro and Mount Kenya is the
result of an analysis of in-situ observations collected at Kersten and Lewis glacier.
The analysis covers a study period of only 16 months, which are definitely not
enough for deducing a climatological behaviour. Furthermore during the years 2010
and 2011 East Africa was struck by a severe drought (Lyon and DeWitt 2012; Yang
et al. 2014), clearly evident in the long rains season MAM 2011 in Fig. 3.1. Thus,
the period covered by the reanalysis study (October 2010 − February 2012) may not
be the best representative period, but it is the only one when AWSs measurements
were collected at both locations.
Despite the expectations, precipitation events on the two summits during the
study period do not strictly follow the typical East Africa seasonality. Figure 3.2
shows clearly that precipitation events exceeding 2 and 4 cm daily snow accumu-
lation are happening throughout the whole study period. However, they are more
frequent and exhibit higher daily snow accumulation during the short rains seasons
(OND 2010 and OND 2011). For these reasons accumulation on the two summits
may be also influenced by local mechanisms and not only by synoptic conditions
due to the typical seasonality of the tropics. A similar behaviour was already noted
by (Molg et al. 2009a), who performed a similar analysis using Kersten glacier AWS
data but for a different period.
The second finding that emerges from Fig. 3.2 is that events with higher daily
accumulation (> 4 cm) are happening twice as much on Mount Kenya (19 events)
than on Kilimanjaro (7 events), while events with a lower daily accumulation (> 2
61
62 Discussion
cm) are showing less difference between the two sites (51 events on Mount Kenya
and 40 on Kilimanjaro). This is showing evidence that stronger precipitation events
are more easily happening on Mount Kenya rather than on Kilimanjaro and it could
be a possible explanation to the reported higher accumulation on Lewis glacier
(Nicholson et al. 2013).
The distribution of precipitation events during the study period for class BOTH
(Fig. 3.3a) is very similar to the one of all precipitation events exceeding 2 cm. Class
MTK (Fig. 3.3b) and class KIBO (Fig. 3.3c) show a really different behaviour. Most
of the events at Kilimanjaro are happening during the first half of the study period
while those at Mount Kenya are limited only to the second half. This behaviour
may be due to seasonal synoptic conditions that favour precipitation on one site
rather than on the other depending on the time of the year. Furthermore this
behaviour could also be the results of a combination of several exceptional factors
thus not reflecting the typical climatology. Further investigations are required to
better understand this aspect.
The ERA-Interim reanalysis data study is developed in order to test the hy-
pothesis in goal (1) in Chap. 1.3. The results (Fig. 3.5) show some differences and
several analogies between the mean vertical profiles of the four classes:
• First of all class ALL and class BOTH are almost identical, thus revealing
that the synoptic conditions favouring precipitation simultaneously on both
mountains are those characterizing also most of the events.
• All the four classes show evidence of a high moisture content of the atmosphere
close to the surface, with values of relative humidity between 80% and 100%.
Furthermore the vertical profiles of Θe and Θes exhibit a potentially and a
conditionally unstable layer, respectively, thus indicating that the atmospheric
conditions are favourable for convection.
• Class MTK is the one showing most differences from the others. The relative
humidity in the lower troposphere are between 10% and 20% lower at Kiliman-
jaro than at Mount Kenya. Furthermore the wind speed in the first 5 km of
atmosphere is on average few m s−1 lower than in the other classes, especially
at Mount Kenya. In this case it could be possible that the combined effects
of low wind speed and higher humidity at Mount Kenya favour precipitation
only at this site. Nevertheless it must be taken into account that the number
of events in this class is 5 and thus drawing major conclusions from such a
small sample may be inappropriate.
• Class KIBO is almost identical to class BOTH and ALL. The only small dif-
ference is in the relative humidity above 4 km, which is slightly higher (about
5.2 Idealized Numerical Simulations 63
10%) at Kilimanjaro. The reason for different precipitation patters in this case
have to be most likely searched elsewhere.
• The most common wind directions are S, SE and E for all the classes, thus
confirming previous results of, e.g., Nicholson et al. (2013) and Ehrengruber
(2011). Furthermore only few precipitation events are characterized by SW,
W and NW wind direction, 11 at Mount Kenya and 5 at Kilimanjaro over
the whole study period. Thus, the influence of a west to east propagation of
convective activity at Kilimanjaro during precipitation events may not be that
important as previously stated by Chan et al. (2008).
Most of the differences between the four classes are well restricted in the range of
the relative standard deviations (Fig. 3.5), thus revealing that variability between
events of the same class may overwhelm differences between the classes. For all
these reasons the conclusion of this reanalysis study is that the synoptic background
conditions favouring precipitation events on Kilimanjaro and Mount Kenya are very
similar and are not responsible for the difference between the two sites highlighted
by the in-situ observations. Finally the hypothesis that during precipitation events
the air mass at the two mountains is the same (goal (1) in Chap. 1.3) is confirmed.
5.2 Idealized Numerical Simulations
The results of the idealized numerical simulations, presented in Chap. 4, are here
discussed. First of all the comparison of simulated precipitation with measurements
at the two summits is not one of the main goal of this study. Due to the highly
idealized model setup and to the quality of the AWSs data, a close match between the
model results and the observations cannot be expected. However a rough estimation
of the simulated precipitation at the two summits could be used to check whether
the order of magnitude of the results is comparable with the measurements.
Measured daily snow accumulation at the two summits during the study period
October 2010 − February 2012 range between 2 cm (lower threshold) and 13 cm
(Fig. 3.2a). Considering a snow density of 250 kg m−3 these values can be converted
into a snow water equivalent of 5 mm and 32.5 mm, respectively. Considering the
results of the simulations kibo ALL and mtk ALLsh, the median of accumulated
precipitation close to the summit (Fig. 4.9d, altitude band 3700 − 4700 m a.r.l.
for Kilimanjaro and 1700 − 2700 a.r.l. for Mount Kenya) is about 10 mm at both
location, thus in the range of the measurements. Furthermore the results of the
simulations of type F show much higher accumulated precipitation (Fig. 4.9b), out
of the measurements range and, thus, indicating that this type of simulations may
not represent the reality.
64 Discussion
The most important finding of the numerical simulations is that the mesoscale
circulation characterizing precipitation events at Kilimanjaro and Mount Kenya is
the result of a complex interaction of surface heat fluxes, background flow and
topography.
The Role of Terrain Geometry
Both mountains have an overall similar elliptical shape but with a totally different
positioning respect the main background flow direction. For Kilimanjaro the long
axis is aligned parallel to the background flow whereas for Mount Kenya it is aligned
perpendicular. This orientation of the mountains has an impact on both the dy-
namically and thermally driven flows. Simulations of type ALL (Fig. 4.5 and 4.6),
the ones closer to reality, give an overview of the mesoscale circulation, quite similar
to the one describe by Houze (2012) and shown in Fig. 1.7d.
At Mount Kenya the flow regime is “flow around” with lee vortices formation,
which lead to flow reversal in the leeward side of the mountain. At this spot surface
heat fluxes induce an upslope flow on the lee slope (Fig. 4.6b). The results of
the two simultaneous processes is a strong updraft of moisture condensating along
the lee slope; precipitation is confined to the leeward side of the mountain by the
impinging background flow which at the height of the summit advects it downstream.
Orographic lifting on the windward side of the mountain causes precipitation also
on the windward side of Mount Kenya (Fig. 4.6a and 4.6b).
At Kilimanjaro the flow regime is “flow around” without lee vortices formation.
Strong upslope circulations develop on the lateral slopes, contrary to the Mount
Kenya case, forcing moist air to converge on the summit plateau from where it
is further advected downstream by the large-scale flow. The combination of these
effects cause a strong asymmetry in precipitation on Kilimanjaro (Fig. 4.5a and
4.5b).
The results of the simulations XL and YL (Figs. 4.14 and 4.15), which use
an idealized ridge to represent the topography of Kilimanjaro and Mount Kenya
are showing a very similar mesoscale circulation. Similar results are also shown in
the studies by Crook and Tucker (2005) and Tucker and Crook (2005), allowing a
close comparison. Accumulated precipitation is maximum when the long axis of the
mountain is aligned parallel to the background flow, as in the case of Kilimanjaro
and XL. Precipitation develops in a narrow band on the lee slope of the mountain
in the simulation XL and in a “U” shape pattern in the simulation YL. Similar
precipitation patterns are also observed by Tucker and Crook (2005).
The reasons for these patterns, as explained by Crook and Tucker (2005), are
shown in Fig. 5.1. First of all the effect of the heating gradient induced by the
surface heat fluxes is maximized when the flow is parallel to the long axis of the
5.2 Idealized Numerical Simulations 65
Figure 5.1: Schematic showing the different forcing that occurs when the flow is along
or across a heated obstacle. Taken from Crook and Tucker (2005).
mountain. This is clearly visible in both the simulations kibo ALL and XL (Fig. 4.5c
and 4.15d), where an evident upslope circulation develops and persists throughout
the whole simulation. Secondly the orographic effect is maximized when the flow is
parallel to the long axis of the mountains, with the downward velocity forced by the
lee slope minimized.
Furthermore the flow regime seems to play an important role in determining the
final precipitation distribution. This aspect is not address in the study by Tucker
and Crook (2005). At Kilimanjaro (simulations kibo ALL and XL) the absence of
lee vortices lead to results very similar to the ones by Tucker and Crook (2005). At
Mount Kenya (simulations mtk ALL and YL) the formation of lee vortices induces
flow reversal on the leeward side of the mountain (Fig. 4.6b and 4.15e), which enforce
the upslope circulation already driven by the surface sensible heat flux. In this case
the precipitation maximum is shifted upslope compared to the study by Tucker and
Crook (2005), with a “U” shape pattern rather than a “V” shape pattern.
The first possible reason for the “U” shape pattern is the effect of the flow re-
versal induced by the lee vortices, which tends to push the air back to the mountain,
force it to raise and then spread to the lateral sides. The second possible reason is
that the “U” shape precipitation pattern is related to the updrafts induced by grav-
ity waves (Fig. 4.15). Further investigations are necessary to distinguish between
the two cases.
Finally one of the most important findings of this study is that precipitation
distribution and magnitude are very sensitive to the orientation of the mountain
respect the background flow. Notice that all the simulations are performed without
changing the wind direction of the background flow. This is a major limitation
of the present study. Although the wind direction used (SE) is the most frequent
66 Discussion
during precipitation events, it represent less than 50% of all cases (Fig. 3.5). Further
investigations, e.g. simulations changing the wind direction by ±45, are necessary
to fully understand the precipitation mechanisms.
The Role of Surface Heat Fluxes and Moisture Content
Surface heat fluxes are one of the most important mechanisms producing precipita-
tion on Kilimanjaro and Mount Kenya. From the comparison of the simulations of
type W, ALL and F (Fig. 4.8 and 4.9) it is clear that the magnitude of precipitation
is strongly controlled by the surface heat fluxes. In fact the highest accumulated
precipitation is found in the simulations of type F, while precipitation does not occur
at the summit of the two mountains in the simulations of type W. Thus, the atmo-
spheric conditions favouring precipitation events on the summits are characterized
by strong surface heat fluxes and absence of wind, as already found by Chan et al.
(2008).
The main result of the sensitivity study for Kilimanjaro (Fig. 4.10) is that
the precipitation maximum, typically located at mid elevations (simulations F0.5
and F0.5rh75), is shifted towards the summit when the intensity of the surface heat
fluxes is stronger (simulations ALL and rh75). Furthermore the sensitivity study
shows also that the simulations of type ALL and rh75, which are characterized
by different moisture content of the background flow, experience similar values of
accumulated precipitation at the summit (Fig. 4.11b). This indicates that the
moisture content of the atmosphere may be less important than the surface heat
fluxes in the precipitation mechanisms.
However these results have to be carefully interpreted. In fact, both surface
sensible and latent heat fluxes are prescribed, this means that two effects occur
at the same time. The surface sensible heat flux develops the upslope circulation
while the surface latent heat flux contributes to rise the moisture content of the
atmosphere. This is a major limitation of the sensitivity study. In order to better
understand the role of surface heat fluxes and moisture content in the precipitation
mechanisms further investigations are required, e.g. simulations activating only one
of the two surface heat fluxes.
Finally the moisture content of the atmosphere is also the reason why accumu-
lated precipitation at Mount Kenya is lower than at Kilimanjaro for the simulations
of type ALL, W and F. Due to the fact that the plains surrounding Mount Kenya
are higher than the one surrounding Kilimanjaro, the moisture content of the at-
mosphere is lower, since the input sounding used to initialize the simulations is the
same. The simulation mtk ALLsh (Fig. 4.7) confirms this hypothesis. In this case
the mean accumulated precipitation at Kilimanjaro and at Mount Kenya is basically
the same (Fig. 4.8d).
5.3 Comparison to Previous Studies 67
5.3 Comparison to Previous Studies
The numerical simulations performed by Molg et al. (2009a) show a very similar
mesoscale circulation to the one observed in this study. Nevertheless this study
leads to two important advances in the understanding of the precipitation mecha-
nisms. First the precipitation distribution and magnitude is mainly determined by
the orientation of the topography related to the background flow direction. Sec-
ondly the surface heat fluxes are determining the shifting towards the summit of
the precipitation maximum. This hypothesis was already presented by Pepin et al.
(2010).
A recent study by Cullen et al. (2012) shows that the asymmetry of glaciers
distribution on the summit of Kilimanjaro is not confined to the most recent glacier
extents (Osmaston 1989). Patterns of ice distribution established from former
moraines indicate in fact that recent climate controls on glacier behaviour are simi-
lar to those in the past. Hence, it is conceivable that the precipitation mechanisms
responsible for this asymmetry remained unchanged during the last century.
If the precipitation mechanisms remained unchanged, the cause of glacier retreat
needs to be searched in either less frequent events reaching the summit or less snow
accumulation during the events. Both these reasons may be related to the main
precipitation mechanisms: direction and strength of the background winds, surface
heat fluxes and moisture content of the atmosphere. While evidence of a drying
climate in tropical East Africa during the last 150 years is well documented by
several studies (Hastenrath and Reidel 1984; Nicholson and Yin 2001), less is know
about changes in surface heat fluxes and in large-scale flow direction and speed.
A study by Molg et al. (2012) argued that glacier retreat on Kilimanjaro is
unlikely to be influenced by local land-cover change, closely linked to surface fluxes.
In the light of the results of the present work it is likely that glacier retreat may be
driven by a complex interaction of moisture content of the atmosphere and surface
fluxes. A reduced moisture supply from the Indian Ocean (Molg et al. 2006) is re-
ducing the moisture content of the background flow, while surface fluxes determines
the uptake of moisture to the summit. Furthermore changes in the large-scale flow
direction and speed may change the precipitation pattern and, hence, the location
of its maximum. For these reasons changes in surface heat fluxes and in large-scale
flow direction and speed need to be further studied.
One of the main purpose of this study was to investigate possible reasons for
different precipitation patterns at the two mountains, as evinced from in-situ ob-
servations comparison by Nicholson et al. (2013). The results of the numerical
simulations are not totally answering this question. First of all the simulation of
type ALLsh shows very similar accumulated precipitation values at both location.
68 Discussion
Figure 4.9d shows that the median values of accumulated precipitation for the al-
titude band 2000 m − 4000 m are higher at Mount Kenya (about 10 mm) than at
Kilimanjaro (about 5 mm). This is most likely due to the orographycally induced
precipitation on the windward side of Mount Kenya.
Furthermore the results here presented apparently do not support the hypothe-
sis advanced by Kaser and Osmaston (2002) (goal (2) in Chap. 1.3). The particular
convective patterns on Kilimanjaro and Mount Kenya (Fig. 1.4) are not reproduced
by the model. In the simulations of type F, which are probably the most similar to
the situations presented in Fig. 1.4, the precipitation maxima are both located at
the summit, in particular there is no evidence of a dry spot at the plateau of Kil-
imanjaro as it is suggested by Kaser and Osmaston (2002). Part of this mismatch
may be related to the model mesh size of 1 km which is not sufficient to resolve the
convective clouds in detail. However, the background flow is causing a displacement
of the clouds downstream.
5.4 Limitations of the Study and Possible Im-
provements
The limitations of this study, as well as possible improvements and new research
directions are here summarized and discussed.
First of all the reanalysis study has two main limitations. The classification of
the precipitation events on Kilimanjaro and Mount Kenya is based on measurements
at a single site on each summit. The limitations of this type of measurements have
already been highlighted in Chap. 2.1.1. Furthermore the period with good quality
data from both AWSs is restricted to 16 months. For these reasons the classification
is not intended to derive a climatological overview of precipitation events on the two
summits but rather a pragmatic approach to determine precipitation events used
for the ERA-Interim reanalysis data study.
Although the ERA-Interim is presumably one of the best atmospheric data
reanalysis available, the resolution of 0.75 is hardly enough for the purpose of this
study. The two mountains are located only a few grid points apart, thus distinct
difference between the two locations cannot be expected.
Both this limitations are related to the remoteness of tropical East Africa moun-
tains. Significant progress in the knowledge about the true distribution of precip-
itation in the region may be achieved with new remote sensing instruments, e.g.,
the Global Precipitation Measurements (GPM) with its improved spatial resolu-
tion. Finally intensive field campaigns, with the support of aircraft measurements
as well as land based remote sensing instrumentations, may significantly improve
5.4 Limitations of the Study and Possible Improvements 69
the understanding of atmospheric processes over tropical high mountains.
Concerning the idealized numerical simulations, two major limitations of this
study have already been highlighted in these discussions. Further simulations, e.g.,
changing the direction of the background wind by ±45 , are necessary to fully
understand the mesoscale circulation given by the interaction of the large-scale flow
and the orientation of the mountain. Furthermore the effect of the single surface
sensible heat flux or surface latent heat flux is not yet clear, since in the simulations
here presented they are both prescribed at the same time. Thus, two effects occur
simultaneously: the upslope circulation driven by the surface sensible heat flux and
the rise of the moisture content of the atmosphere due to the surface latent heat flux.
In order to understand which of the two effects is the most relevant in determining
the final precipitation distribution and magnitude further simulations are required.
Moreover the homogeneity of the prescribed surface heat fluxes is another im-
portant limitation of the idealized approach used in this study. In fact the sinu-
soidal like function, representing the surface heat fluxes, is the same in the plains
surrounding the mountains as well as on the summits. This leads to some important
differences to the reality. First of all topographic shading is not considered and thus
the forcing of the surface heat fluxes is the same on all the slopes. The impact of
clouds on the surface heat fluxes is not considered, since a radiation scheme is not
used in this approach. Finally differences due to different land cover properties are
also not considered. Land cover properties may in fact vary between the two loca-
tions and between different altitude bands, e.g., passing from the savannah of the
surrounding plains to the vegetation belt and to the arid summit zone. For these
reasons the mesoscale circulation described in this study as a result of the idealized
numerical simulation may differ from the reality.
In order to further improve the knowledge about atmospheric processes over
tropical East Africa mountains real case numerical simulations may be a possible
solution. In this case fully coupled numerical simulations, with radiation and land
surface schemes, may significantly improve the reality of model setup, allowing the
understanding of more complex mechanisms that are not captured in this study.
70
Chapter 6
Conclusions
In this thesis in-situ observations, ERA-Interim reanalysis data and idealized numer-
ical simulations are combined to asses the precipitation mechanisms on Kilimanjaro
and Mount Kenya. Precipitation on the two mountains is driven by a complex in-
teraction of the large-scale flow with the topography and the surface heat fluxes.
The most important conclusions of this study are summarized below.
• The reanalysis study confirms the hypothesis that the two mountains are typ-
ically influenced by the same air mass during precipitation events.
• Precipitation distribution and magnitude are very sensitive to the orientation
of the mountain respect to the large-scale flow. Both the thermally and dy-
namically driven flows characterizing precipitation events are determined by
the interaction of the topography and the background flow. When the long
axis of the mountain is aligned parallel to the background flow the accumu-
lated precipitation is maximum and it develops in a narrow band on the lee
slope. When the long axis of the mountain is aligned perpendicular to the
background flow the accumulated precipitation is less and the distribution is
organized in a “U” shape pattern.
• The magnitude of precipitation is strongly controlled by the surface heat fluxes.
The upslope circulation driven by the surface sensible heat flux and the contri-
bution of the surface latent heat flux to the moisture content of the atmosphere
are responsible for the shift upslope of the precipitation maximum.
In order to fully understand the precipitation mechanisms over the two moun-
tains further investigations on the role of different wind direction of the large-scale
flow and on the impact of the surface sensible and latent heat flux are necessary.
Moreover the differences between the two mountains described by the numerical
simulations are not corresponding to the ones typically observed. Data collected at
71
72 Conclusions
the two summits shows in fact that Mount Kenya is experiencing typically more pre-
cipitation than Kilimanjaro, thus permitting glaciers to survive at lower elevations
at this location. In order to understand these observations, further studies, better
representing the differences between the two mountains, need to be carried out.
Appendix A
Description of WRF Model
Modifications
In this Appendix the modifications implemented in the WRF model, version 3.7
(Skamarock et al. 2008), are described. This part of the manuscript is intended
for expert WRF users, which are already familiar with the WRF model general
architecture and module structure and the FORTRAN syntax. First of all all the
simulations performed in this study are based on a compilation of the LES (large
eddy simulation) ideal test case of the WRF. Despite the name of the test case the
simulations here presented are run in a non LES setup as described in Chap. 2.2.
Two main modifications were necessary to the WRF model .
A small modification was necessary to allow the initialization program ideal.exe
to read the topography from an external file. This is not allowed in the standard
LES ideal case, which normally initializes the model grid topography with a para-
metric formula which can be prescribed in m o d u l e i n i t i a l i z e l e s .F. This module
contains a section in which the topography is specified in the variable g r id%ht, this
section is replaced with the code shown in A.1: mnt on is a new namelist variable,
which the user can use to specify whether the topography is read from an external
file or not, dem . txt is the external file from which the topography is read. It is
important to note that this file need to be placed in the run directory of the model
and need to be formatted to contain the DEM information in a matrix with the
same size of the model grid specified via the namelist (model domain).
The second modification is allowing the user to specify directly the surface
sensible and latent heat fluxes. Surface heat fluxes can be specified either as a
constant value or as a sinusoidal like function, which is 0 before 6:00 and af-
ter 18:00 and has maximum value at noon. This modification involves the fol-
lowing modules: m o d u l e f i r s t r k s t e p p a r t 1 .F, m o d u l e s u r f a c e d r i v e r .F and
m o d u l e s f s f c l a y .F. First of all in m o d u l e f i r s t r k s t e p p a r t 1 .F (A.2), before
the call of the function s u r f a c e r d r i v e r , the surface sensible ( s s h f ) and latent
73
74 Description of WRF Model Modifications
( s l h f ) heat fluxes are specified through the newly introduced namelist variables
mtn hfx and mtn lh. The switcher f l u x e s t y p e , editable in the namelist, allows
the user to choose which type of surface heat fluxes to prescribe: 1 for constant
fluxes, 2 for sinusoidal like fluxes and any other number for switching off this mod-
ification. The surface heat fluxes s s h f and s l h f are then passed through the func-
tion s u r f a c e r d r i v e r , which is defined in m o d u l e s u r f a c e d r i v e r .F, and following
through the function SFCLAY (called also in function SFCLAY SEAICE WRAPPER in the
same module). Finally the function SFCLAY is defined in m o d u l e s f s f c l a y .F which
is modified as shown in A.3 to account for the prescribed surface heat fluxes.
It is important to note that all the variables which are newly introduced in func-
tions and subroutines must be properly defined as the FORTRAN syntax requires,
step which is not shown here. Furthermore new namelist variables such as mtn on,
f l u x e s t y p e , mtn hfx and mtn lh have to be defined in Reg i s t ry .EMCOMMON.
Listing A.1: Topography modification: m o d u l e i n i t i a l i z e l e s .F
! TOPOGRAPHY, modi f ied by Federico Covi 02/02/16
! Two opt ion f o r the topography i n i t i a l i z a t i o n depending on the
! name l i s t parameter mtn on
! 1) mtn on=0, NO TOPOGRAPHY
IF ( m o d e l c o n f i g r e c%mtn on == 0) THEN
DO j=j t s , j t e
DO i=i t s , i t e
g r id%ht ( i , j ) = 0 .
ENDDO
ENDDO
! 2) mtn on=1, TOPOGRAPHY READ FROM dem. t x t f i l e
ELSE IF ( m o d e l c o n f i g r e c%mtn on == 1) THEN
open (unit=17, f i l e=’dem . txt ’ , status=’ old ’ , action=’ read ’ )
DO j=jds , jde
READ( 1 7 ,∗ ) ( g r id%ht ( i , j ) , i=ids , ide )
ENDDO
! 3) mtn on=∗ wr i t e an ERROR statement
ELSE
write ( 6 ,∗ ) ’ ∗∗∗ not v a l i d mtn on opt ion ∗∗∗ ’
ENDIF
! ELSE
! DO j=j t s , j t e
! DO i=i t s , i t e
! g r i d%ht ( i , j ) = 0 .
! ENDDO
! ENDDO
! ENDIF
! END of MODIFIED PART
75
Listing A.2: Surface heat fluxes mod.: m o d u l e f i r s t r k s t e p p a r t 1 .F
! SURFACE FLUXES, modi f ied by Federico Covi 10/05/16
! cons tant su r f a c e heat f l u x e s
IF ( c o n f i g f l a g s%f l u x e s t y p e == 1) THEN
s s h f = c o n f i g f l a g s%mtn hfx
s l h f = c o n f i g f l a g s%mtn lh
! s i nu so i da l− l i k e su r f a c e heat f l u x e s
ELSE IF ( c o n f i g f l a g s%f l u x e s t y p e == 2) THEN
IF ( s i n (2∗4 .∗ atan ( 1 . ) / 2 4∗ ( hr+minute /60.+ sec /3600.−6.)) &
.LE. 0 . ) THEN
s s h f = 0 .0
s l h f = 0 .0
ELSE
s s h f = c o n f i g f l a g s%mtn hfx∗ &
s i n (2∗4 .∗ atan ( 1 . ) / 2 4∗ ( hr+minute /60.+ sec /3600.−6.))
s l h f = c o n f i g f l a g s%mtn lh∗ &
s i n (2∗4 .∗ atan ( 1 . ) / 2 4∗ ( hr+minute /60.+ sec /3600.−6.))
ENDIF
ENDIF
! END of MODIFIED PART
CALL s u r f a c e d r i v e r ( . . . . . . . . . . . . . . . . . . . . . . . &
& . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . &
! Modi f ied by Federico Covi 12/03/2016
& , f l u x e s t y p e=c o n f i g f l a g s%f l u x e s t y p e &
& , mtn hfx=s s h f &
& , mtn lh=s l h f )
! END of MODIFIED PART
76 Description of WRF Model Modifications
Listing A.3: Surface heat fluxes modification: m o d u l e s f s f c l a y .F
!−−−−−COMPUTE SURFACE MOIST FLUX:
!
! IF (IDRY.EQ.1 )GOTO 390
IF ( PRESENT(SCM FORCE FLUX) ) THEN
IF (SCM FORCE FLUX.EQ. 1 ) GOTO 405
ENDIF
!
DO 370 I=i t s , i t e
QFX( I )=FLQC( I )∗ (QSFC( I )−QX( I ) )
QFX( I )=AMAX1(QFX( I ) , 0 . )
LH( I )=XLV∗QFX( I )
! Modi f ied by Federico Covi 14/03/16
IF ( f l u x e s t y p e .EQ. 1 . or . f l u x e s t y p e .EQ. 2) THEN
LH( I ) = mtn lh
QFX( I ) = LH( I ) / XLV
ENDIF
! END of MODIFIED PART
370 CONTINUE
!
!−−−−−COMPUTE SURFACE HEAT FLUX:
!
390 CONTINUE
DO 400 I=i t s , i t e
IF (XLAND( I )−1.5 .GT. 0 . )THEN
HFX( I )=FLHC( I )∗ (THGB( I )−THX( I ) )
! IF ( PRESENT(ISFTCFLX) ) THEN
! IF ( ISFTCFLX.NE.0 ) THEN
! AHW: add d i s s i p a t i v e hea t ing term (commented out in 3 . 6 . 1 )
! HFX( I)=HFX( I)+RHOX( I )∗USTM( I )∗USTM( I )∗WSPDI( I )
! ENDIF
! ENDIF
ELSEIF(XLAND( I )−1.5 .LT . 0 . )THEN
HFX( I )=FLHC( I )∗ (THGB( I )−THX( I ) )
HFX( I )=AMAX1(HFX( I ) ,−250.)
ENDIF
! Modi f ied by Federico Covi 12/03/16
IF ( f l u x e s t y p e .EQ. 1 . or . f l u x e s t y p e .EQ. 2) THEN
HFX( I ) = mtn hfx
! THGB( I ) = HFX( I ) / FLHC( I ) + THX( I )
! TSK( I ) = THGB( I )∗(PSFCPA( I )/P1000mb)∗∗ROVCPENDIF
! END of MODIFIED PART
Appendix B
Model Testing
In this Appendix an issue related to the boundary conditions, found during the
WRF model testing phase, is presented with its momentary solution. As described
in Chap. 2.2 the nature of the simulation, with a background flow forcing over a non
symmetric domain, requires the use of open boundary conditions. It is know from
previous works (Kirshbaum and Fairman 2015) that this type of lateral boundary
conditions tend to develop noises and disturbances close to the domain boundaries.
This is particularly true in case of a very moist atmosphere, deep convection situ-
ations and strong surface heat fluxes forcing. The typical solution to this problem
is to size the model domain in a way that disturbances propagation does not affect
the area of interest (AOI).
In order to properly size the domain used in this study two test simulation
are performed: OPEN, with open boundary conditions, and PER, with periodic
boundary conditions. Both simulations are run with the same identical model setup,
consisting in surface heat fluxes and input sounding without background wind as
in the type F. In the simulation PER it would in fact be inconvenient to prescribe
a background flow due to the nature of the periodic boundary conditions. The
topography used is the one of Kilimanjaro.
The results of the two simulations are compared with particular interest in
the AOI, in this case defined as a 300 km by 300 km square in the center of the
domain, where the mountain is placed. Finally the domain is sized in order to nullify
differences in accumulated precipitation in the AOI between the two simulation.
Figures B.2 and B.3 show the results of the simulations PER and OPEN. The
boundary conditions issue affecting OPEN is clearly visible in both the accumulated
precipitation and the vertical velocity. Disturbances generates at the lateral bound-
aries due to huge gradients, especially in moisture, induced by the strong surface
heat fluxes and following are propagating towards the center of the domain. Figure
B.1 shows evidence of a strong correlation in accumulated precipitation between
OPEN and PER, especially over the mountain (bottom panel), where differences
77
78 Model Testing
03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 2103 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21Time of the day
0.00.51.01.52.02.5
m. a
. p. (
mm
) OPEN PER
03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 2103 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21Time of the day
0
2
4
6
8
m. a
. p. (
mm
) OPEN PER
Figure B.1: Mean accumulated precipitation (mm) over the AOI (top panel) and over
the mountain (bottom panel) for the simulation OPEN and PER.
are not appreciable.
Following this comparison the model setup and domain used in OPEN are
considered to reproduce reliable results in the AOI. Furthermore the domain used
in the simulations previously shown in this study is even larger than the one used
in OPEN. The final domain size is in fact Lx = 1500 km and Ly = 1000 km (Chap.
2.2), about 200 km larger in the y direction, ensuring a good quality of the results.
79
Figure B.2: Accumulated precipitation (mm) and vertical velocity (m s−1) close to the
surface at the end of the simulation PER.
80 Model Testing
Figure B.3: Accumulated precipitation (mm) and vertical velocity (m s−1) close to the
surface at the end of the simulation OPEN.
Bibliography
American Meteorological Society, 2016: Glossary of Meteorology. URL http://
glossary.ametsoc.org.
Banta, R. M., 1990: The role of mountain flows in making clouds. Atmospheric
processes over complex terrain, W. Blumen, Ed., American Meteorological Society,
229–283, doi:10.1007/978-1-935704-25-6.
Berrisford, P., et al., 2011: The ERA-Interim Archive. Version 2.0. Tech. rep.,
European Centre for Medium Range Weather Forecast, 23 pp. URL http:
//www.ecmwf.int/en/elibrary/8174-era-interim-archive-version-20.
Bolton, D., 1980: The Computation of Equivalent Potential Temperature. Monthly
Weather Review, 108 (7), 1046–1053, doi:10.1175/1520-0493(1980)108〈1046:
TCOEPT〉2.0.CO;2.
Chan, R. Y., M. Vuille, D. R. Hardy, and R. S. Bradley, 2008: Intraseasonal precip-
itation variability on Kilimanjaro and the East African region and its relationship
to the large-scale circulation. Theoretical and Applied Climatology, 93 (3-4), 149–
165, doi:10.1007/s00704-007-0338-9.
Charnley, F., 1959: Some observations on the glaciers of Mount Kenya. Journal of
Glaciology, 3 (26), 483–492.
Chiang, J. C., 2009: The Tropics in Paleoclimate. Annual Review of Earth and
Planetary Sciences, 37 (1), 263–297, doi:10.1146/annurev.earth.031208.100217.
Crook, N. A. and D. F. Tucker, 2005: Flow over heated terrain. Part I: Linear
theory and idealized numerical simulations. Monthly Weather Review, 133 (9),
2552–2564, doi:10.1175/MWR2964.1.
Cruikshank, J., 2001: Glaciers and climate change: Perspectives from oral tradition,
Vol. 54. Balkema Publishers, Rotterdam, 377–393 pp., doi:10.1002/joc.880.
Cullen, N. J., T. Molg, G. Kaser, K. Hussein, K. Steffen, and D. R. Hardy, 2006:
Kilimanjaro Glaciers: Recent areal extent from satellite data and new interpreta-
81
82 BIBLIOGRAPHY
tion of observed 20th century retreat rates. Geophysical Research Letters, 33 (16),
1–6, doi:10.1029/2006GL027084.
Cullen, N. J., P. Sirguey, T. Molg, G. Kaser, M. Winkler, and S. J. Fitzsimons, 2012:
A century of ice retreat on Kilimanjaro: the mapping reloaded. The Cryosphere
Discussions, 6 (5), 4233–4265, doi:10.5194/tcd-6-4233-2012.
Dee, D. P., et al., 2011: The ERA-Interim reanalysis: Configuration and perfor-
mance of the data assimilation system. Quarterly Journal of the Royal Meteoro-
logical Society, 137 (656), 553–597, doi:10.1002/qj.828.
Downie, C. and P. Wilkinson, 1972: The Geology of Kilimanjaro. University of
Sheffield, Department of Geology, Sheffield.
Dutton, E. A. T., 1929: Kenya Mountain. London, 218 pp.
Ehrengruber, P., 2011: Sources of Precipitation on East-African Glaciers. Bachelor
thesis, University of Innsbruck, 51 pp.
Epifanio, C. C., 2015: Lee Vortices. Encyclopedia of Atmospheric Sciences, 1150–
1160, doi:http://dx.doi.org/10.1016/B0-12-227090-8/00241-4.
Farr, T. G., et al., 2007: The shuttle radar topography mission. Reviews of Geo-
physics, 45 (2), 1–43, doi:10.1029/2005RG000183.
Gatebe, C. K., P. D. Tyson, H. Annegarn, S. Piketh, and G. Helas, 1999: A seasonal
air transport climatology for Kenya. Journal of Geophysical Research, 104 (D12),
14 237–14 244, doi:10.1029/1998JD200103.
Geilinger, W., 1936: The retreat of the Kilimajaro glaciers. Tanganyka Notes and
Records, 2, 7–20.
Gillman, C. C., 1923: An Ascent of Kilimanjaro. Geographical Journal, 61 (1),
1–27.
Gregory, J. W., 1894: Contributions to the Physical Geography of British East
Africa. The Geographical Journal, 4 (4), 289–315, doi:10.2307/1773534.
Hastenrath, S., 1991: Climate Dynamics of the Tropics. Springer Netherlands, 488
pp., doi:10.1007/978-94-011-3156-8.
Hastenrath, S., 1995: Glacier Recession on Mount Kenya in the Context of the
Global Tropics. Bull. Inst. Fr. Etudes Andines, 24 (3), 633–638.
Hastenrath, S., 2001: Variations of East African Climate During the Past Two
Centuries. Climatic Change, 50, 209–217, doi:10.1023/A:1010678111442.
BIBLIOGRAPHY 83
Hastenrath, S., 2005: The glaciers of Mount Kenya 1899-2004. Erdkunde, 59 (2),
120–125, doi:10.3112/erdkunde.2005.02.03.
Hastenrath, S., 2009: Climatic forcing of glacier thinning on the mountains of equa-
torial East Africa. International Journal of Climatology, doi:10.1002/joc.1866.
Hastenrath, S. and L. Greischar, 1997: Glacier recession on Kilimanjaro, East Africa,
1912-89. Journal of Glaciology, 43, 455–459.
Hastenrath, S. and P. D. Kruss, 1992: Greenhouse indicators in Kenya. Nature, 335,
503–504, doi:10.1038/355503b0.
Hastenrath, S. and D. Reidel, 1984: Africa, The Glaciers of Equatorial East.
Springer Netherlands, 353 pp., doi:10.1007/978-94-009-6251-4.
Hastenrath, S., R. Rostom, and R. A. Caukwell, 1989: Variations of Mount Kenya’s
glaciers 196387. Erdkunde, 43, 202–210.
Hong, S. and J. Lim, 2006: The WRF single-moment 6-class microphysics scheme
(WSM6). Journal of the Korean Meteorological Society, 42 (2), 129–151.
Houze, R. A., 2012: Orographic effects on precipitating clouds. Reviews of Geo-
physics, 50 (1), 1–47, doi:10.1029/2011RG000365.
Humphries, D. W., 1959: Preliminary notes on the glaciology of Kilimanjaro. Jour-
nal of Glaciology, 3, 475–478.
Hunt, T. L., 1947: Weather conditions on Kilimanjaro. Weather, 2, 285–299.
Indeje, M., F. H. Semazzi, and L. J. Ogallo, 2000: ENSO signals in East African
rainfall seasons. International Journal of Climatology, 20 (1), 19–46, doi:10.1002/
(SICI)1097-0088(200001)20:1〈19::AID-JOC449〉3.0.CO;2-0.
IPCC, 2001: Contribution of Working Group I to the Third Assessment Report of
the Intergovernmental Panel on Climate Change. Tech. Rep. November, 881 pp.
doi:10.1256/004316502320517344.
Jager, F., 1931: Veranderungen der Kilimanjaro-Gletscher. Zeitschrift fur
Gletscherkunde, 19, 285–299.
Kaser, G., 1999: A review of the modern fluctuations of tropical glaciers. Global and
Planetary Change, 22 (1-4), 93–103, doi:10.1016/S0921-8181(99)00028-4.
Kaser, G., D. R. Hardy, T. Molg, R. S. Bradley, and T. M. Hyera, 2004: Modern
glacier retreat on Kilimanjaro as evidence of climate change: Observations and
84 BIBLIOGRAPHY
facts. International Journal of Climatology, 24 (3), 329–339, doi:10.1002/joc.
1008.
Kaser, G. and B. Noggler, 1991: Observations on Speke Glacier, Ruwenzori Range,
Uganda. Journal of Glaciology, 37 (127), 313–318.
Kaser, G. and B. Noggler, 1996: Glacier fluctuations in the Rwenzori Range
(East Africa) during the 20th century. A preliminary report. Zeitschrift fur
Gletscherkunde und Glazialgeologie, 32 (109-117), 109–117.
Kaser, G. and H. Osmaston, 2002: Tropical Glaciers. Cambridge University
Press, 205 pp., URL http://books.google.com/books?hl=en&lr=&id=
ZEB-I3twN_gC&pgis=1.
Kirshbaum, D. J. and D. R. Durran, 2005: Observations and modeling of banded
orographic convection. Journal of the Atmospheric Sciences, 62 (2001), 1463–
1479, doi:10.1175/JAS3417.1.
Kirshbaum, D. J. and J. G. Fairman, 2015: Cloud trails past the Lesser Antilles.
Monthly Weather Review, 143 (4), 995–1017, doi:10.1175/MWR-D-14-00254.1.
Klute, F., 1920: Ergebnisse der Forschungen am Kilimandscharo 1912. D. Reimer
(E. Vohsen), Berlin, 174 pp.
Kruss, P. D. and S. Hastenrath, 1987: The role of radiation geometry in the climate
response of mount kenya’s glaciers, part 1: Horizontal reference surfaces. Journal
of Climatology, 7, 493–505, doi:10.1002/joc.3370070505.
Kruss, P. D. and S. Hastenrath, 1990: The role of radiation geometry in the climate
response of Mount Kenya’s glaciers, part 3: The latitude effect. International
Journal of Climatology, 10 (3), 321–328, doi:10.1002/joc.3370100309.
Lyon, B. and D. G. DeWitt, 2012: A recent and abrupt decline in the East African
long rains. Geophysical Research Letters, 39 (2), doi:10.1029/2011GL050337.
Mackinder, H., 1900: A journey to the summit of Mount Kenya, British East Africa.
The Geographical Journal, 15 (5), 453–476, doi:10.2307/1774261.
Meyer, H., 1891: Zur Kenntnis von Eis un Schnee des Kilimandscharo. Pettermanns
Geographisce Mitteilungen, 36, 289–294.
Molg, T., 2003: Solar-radiation-maintained glacier recession on Kilimanjaro drawn
from combined ice-radiation geometry modeling. Journal of Geophysical Research,
108, 1–11, doi:10.1029/2003JD003546.
BIBLIOGRAPHY 85
Molg, T., J. C. Chiang, A. Gohm, and N. J. Cullen, 2009a: Temporal precipita-
tion variability versus altitude on a tropical high mountain : Observations and
mesoscale atmospheric modeling. Quarterly Journal of the Royal Meteorological
Society, 135, 1439–1455, doi:10.1002/qj.461.
Molg, T., N. J. Cullen, D. R. Hardy, G. Kaser, and L. Klok, 2008: Mass balance of
a slope glacier on Kilimanjaro and its sensitivity to climate. International Journal
of Climatology, 28 (7), 881–892, doi:10.1002/joc.1589.
Molg, T., N. J. Cullen, D. R. Hardy, M. Winkler, and G. Kaser, 2009b: Quan-
tifying climate change in the tropical midtroposphere over East Africa from
glacier shrinkage on Kilimanjaro. Journal of Climate, 22 (15), 4162–4181, doi:
10.1175/2009JCLI2954.1.
Molg, T., C. Georges, and G. Kaser, 2003: The contribution of increased incoming
shortwave radiation to the retreat of the Rwenzori glaciers, East Africa, during
the 20th century. International Journal of Climatology, 23 (3), 291–303, doi:
10.1002/joc.877.
Molg, T., M. Großhauser, A. Hemp, M. Hofer, and B. Marzeion, 2012: Limited
forcing of glacier loss through land-cover change on Kilimanjaro. Nature Climate
Change, 2, 254–258, doi:doi:10.1038/nclimate1390.
Molg, T. and D. R. Hardy, 2004: Ablation and associated energy balance of a
horizontal glacier surface on Kilimanjaro. Journal of Geophysical Research D:
Atmospheres, 109 (16), 1–13, doi:10.1029/2003JD004338.
Molg, T., M. Renold, M. Vuille, N. J. Cullen, T. F. Stocker, and G. Kaser,
2006: Indian Ocean zonal mode activity in a multicentury integration of a cou-
pled AOGCM consistent with climate proxy data. Geophysical Research Letters,
33 (18), 1–5, doi:10.1029/2006GL026384.
Monin, A. S. and A. M. Obukhov, 1954: Basic turbulence mixing laws in the atmo-
spheric surface layer. Tr. Inst. Teor. Geofiz, Akad, Nauk, SSSR, 22, 163–187.
Mutai, C. C. and M. N. Ward, 2000: East African rainfall and the tropical circu-
lation/convection on intraseasonal to interannual timescales. Journal of Climate,
13 (22), 3915–3939, doi:10.1175/1520-0442(2000)013〈3915:EARATT〉2.0.CO;2.
Nakanishi, M. and H. Niino, 2004: An Improved Mellor–Yamada Level-3 Model with
Condensation Physics: Its Design and Verification. Boundary-Layer Meteorology,
112 (1), 1–31, doi:10.1023/B:BOUN.0000020164.04146.98.
86 BIBLIOGRAPHY
Nakanishi, M. and H. Niino, 2006: An Improved Mellor–Yamada Level-3 Model: Its
Numerical Stability and Application to a Regional Prediction of Advection Fog.
Boundary-Layer Meteorology, 119 (2), 397–407, doi:10.1007/s10546-005-9030-8.
Nicholson, L. I., R. Prinz, T. Molg, and G. Kaser, 2013: Micrometeorological condi-
tions and surface mass and energy fluxes on Lewis Glacier, Mt Kenya, in relation to
other tropical glaciers. Cryosphere, 7 (4), 1205–1225, doi:10.5194/tc-7-1205-2013.
Nicholson, S. E., 1996: A review of climate dynamics and climate variability in east-
ern Africa. The limnology, climatology and paleoclimatology of the East African
lakes, T. C. Johnson and E. Odada, Eds., Gordon and Breach, 25–56.
Nicholson, S. E. and X. Yin, 2001: Rainfall conditions in equatorial East Africa dur-
ing the nineteenth century as inferred from the record of Lake Victoria. Climatic
Change, 48 (2-3), 387–398, doi:10.1023/A:1010736008362.
Osmaston, H., 1989: Glaciers, glaciations and equilibrium line altitudes on the
Rwenzori. Quaternary and environmental research on East African Mountains,
W. C. Mahaney, Ed., Balkema Publishers, Rotterdam, 31–104.
Pepin, N. C., W. J. Duane, and D. R. Hardy, 2010: The montane circulation on
Kilimanjaro, Tanzania and its relevance for the summit ice fields: Comparison
of surface mountain climate with equivalent reanalysis parameters. Global and
Planetary Change, 74 (2), 61–75, doi:10.1016/j.gloplacha.2010.08.001.
Prinz, R., A. Fischer, L. Nicholson, and G. Kaser, 2011: Seventy-six years of mean
mass balance rates derived from recent and re-evaluated ice volume measurements
on tropical Lewis Glacier, Mount Kenya. Geophysical Research Letters, 38 (20),
2–7, doi:10.1029/2011GL049208.
Prinz, R., L. Nicholson, and G. Kaser, 2012: Variations of the Lewis Glacier, Mount
Kenya, 2004-2012. Erdkunde, 66 (3), 255–262, doi:10.3112/erdkunde.2012.03.05.
Prinz, R., L. Nicholson, T. Molg, W. Gurgiser, and G. Kaser, 2016: Climatic controls
and climate proxy potential of Lewis Glacier, Mt. Kenya. The Cryosphere, 10 (1),
133–148, doi:10.5194/tc-10-133-2016.
Rodhe, H. and H. Virji, 1976: Trends and periodicities in east african rainfall data.
Monthly Weather Review, 104, 307–315, doi:10.1175/1520-0493(1976)104〈0307:
TAPIEA〉2.0.CO;2.
Roe, G. H., 2005: Orographic Precipitation. Annual Review of Earth and Planetary
Sciences, 33 (1), 645–671, doi:10.1146/annurev.earth.33.092203.122541.
BIBLIOGRAPHY 87
Rotunno, R. and R. A. Houze, 2007: Lessons on orographic precipitation from
the Mesoscale Alpine Programme. Quarterly Journal of the Royal Meteorological
Society, 133 (October), 811–830, doi:10.1002/qj.67.
Schar, C. and D. R. Durran, 1996: Vortex Formation and Vortex Shedding in Con-
tinuously Stratified Flows past Isolated Topography. Journal of the Atmospheric
Sciences, 54, 534–554, doi:10.1175/1520-0469(1997)054〈0534:VFAVSI〉2.0.CO;2.
Schar, C. and R. B. Smith, 1993: Shallow-Water Flow past Isolated Topography.
Part II: Transition to Vortex Shedding. Journal of the Atmospheric Sciences,
50 (10), 1401–1412, doi:10.1175/1520-0469(1993)050〈1401:SWFPIT〉2.0.CO;2.
Skamarock, W., et al., 2008: A Description of the Advanced Research WRF Version
3. Technical Report, (June), 113, doi:10.5065/D6DZ069T.
Smith, R. B., 1988: Mountain-induced stagnation points in hydrostatic flow. Tellus
A, 41A, 270–274, doi:10.3402/tellusa.v41i3.11839.
Smolarkiewicz, P. and R. Rotunno, 1989: Low Froude Number Flow Past Three-
Dimensional Obstacles. Part I: Baroclinically Generated Lee Vortices. Journal
of the Atmospheric Sciences, 46 (8), 3611–3613, doi:10.1175/1520-0469(1989)
046〈1154:LFNFPT〉2.0.CO;2.
Smolarkiewicz, P. K. and R. Rotunno, 1990: Low Froude Number Flow Past Three-
Dimensional Obstacles. Part II: Upwind Flow Reversal Zone. Journal of the At-
mospheric Sciences, 47 (12), 1498–1511, doi:10.1175/1520-0469(1990)047〈1498:
LFNFPT〉2.0.CO;2.
Spink, P. C., 1949: The equatorial glaciers of East Africa. Journal of Glaciology,
1 (5), 277–282, doi:10.3189/002214349793702584.
Thompson, L. G., et al., 2002: Kilimanjaro Ice Core Records: Evidence of Holocene
Climate Change in Tropical Africa. Science, 205 (5593), 589–593, doi:10.1126/
science.1073198.
Troll, C. and K. Wien, 1949: Der Lewisgletscher am Mount Kenya. Geografiska
Annaler, 31, 257, doi:10.2307/520369.
Tucker, D. F. and N. A. Crook, 2005: Flow over heated terrain. Part II: Generation
of convective precipitation. Monthly Weather Review, 133 (9), 2565–2582, doi:
10.1175/MWR2965.1.
Volkens, G., 1897: Der Kilimandscharo. D. Reimer (E. Vohsen), Berlin.
88 BIBLIOGRAPHY
Webster, P. J., A. M. Moore, J. P. Loschnigg, and R. R. Leben, 1999: Coupled ocean-
atmosphere dynamics in the Indian Ocean during 1997-98. Nature, 401 (356-
360).
Yang, W., R. Seager, M. A. Cane, and B. Lyon, 2014: The East African long
rains in observations and models. Journal of Climate, 27 (19), 7185–7202, doi:
10.1175/JCLI-D-13-00447.1.
Acknowledgments
First of all I would like to thank Assoc. Prof. Dr. Alexander Gohm for supervising
this thesis. He always found the time for meetings and discussions which helped a
lot to improve this work. His modus operandi has been a true example of rigorous
scientific working. I would also like to thank Prof. Dr. Georg Kaser for making
this interesting and challenging topic available for me. When he trusted me to
join glaciological field works for the first time I was nothing more than a student;
he gave me the opportunity to gain skills and knowledge which go far behind the
master studies. The computational results presented have been achieved (in part)
using the HPC infrastructure LEO of the University of Innsbruck. Additionally I
would like to thank Simon Siedersleben, Lukas Umek, Daniel Leukaf and Johannes
Wagner for their help and fruitful discussions about the WRF model. I also want
thank Carsten Maass, from ECMWF, which provided useful information about the
ERA-Interim reanalysis. I would like to thank Lindsay Nicholson, Rainer Prinz and
Thomas Molg for the precious discussions about Kilimanjaro and Mount Kenya.
A really big thanks goes to my family, which supported me all these years and
waited too long for this moment, and to my italian friends, especially Luca and
Andrea, which have not been forgotten during my Innsbruck adventure. A big hug
goes to Stephan Peter Galos, which in these 3 years has been a teacher, a colleague
but above all a friend. Finally I am really sorry that Veronica had to be that patient
with me.
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Curriculum Vitae
Federico Covi
Dr. Stumpfstrasse 117, 6020 Innsbruck, Austria
Born on March 30 1990 in Rovereto, Italy
Education:
2015–2016 Master’s thesis under the guidance of Assoc. Prof. Dr. Alexander
Gohm and Univ. Prof. Dr. Georg Kaser, Institute of Atmospheric
and Cryospheric Science, University of Innsbruck: “Assessing Precip-
itation Mechanisms on Kilimanjaro and Mount Kenya: an Idealized
Modeling Study”.
2013–2016 Master of Science at the University of Innsbruck. Master of Science
in Atmospheric Science.
2012–2013 Bachelor’s thesis under the guidance of Prof. Dr. Claudio Della Volpe,
Department of Physics, University of Trento: “Working Procedure and
Data Analysis for Weather Radar on Macaion Site”.
2009–2013 Bachelor of Science at the University of Trento. Bachelor of Science
in Physics.
2004–2009 Highschool, Rovereto Matura.
Work Experience:
05/2015–10/2016 Student assistant at the University of Innsbruck in the glaciers mass
balance monitoring program of the Institute of Atmospheric and
Cryospheric Science.
10/2015–01/2016 Tutor for the course “Mountain Meteorology” at the Institute of At-
mospheric and Cryospheric Science (Assoc. Prof. Dr. Alexander
Gohm).
10/2012–03/2013 Internship at the meteorological office of Meteotrentino, Provincia Au-
tonoma di Trento, Italy.
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