This paper presents the results of a study of ocean wave energy in the Mozambique Channel, an open channel located in the Western Indian Ocean and oriented north-southwards. Weekly data of significant wave height and wave period, obtained from marine-analyst, on the web, were analysed in 10 selected coastal sites, 5 on each side of the channel. The channel receives swell waves from the extratropical South Indian Ocean in the south and monsoon-generated swell from the north, modified by trade winds and cyclones. The results indicate that the waves are highly variable (≥80%), with high (1.5–2 m on average), longer (8–20 s, on average), and more energetic (10–23 kW m−1, on average) waves found in the southern part of the channel, followed by the northern part of the channel (1.2–1.4 m, 6–8 s, 6–7 kW m−1, on average), with the middle part displaying a lower energy (6 kW m−1, on average) wave climate. Peaks of high waves (up to 5 m) and high-energy waves (up to 90 kW m−1), attributed to storm conditions, were observed throughout the study period. Despite high variability in wave characteristics, the probability of waves exceeding the threshold values for viable exploitation for electricity production was about 61 and 63% for the western and eastern sides of the channel, respectively.

  • Ocean wave energy in the Mozambique Channel, an open channel located in the Western Indian Ocean and oriented north-southwards is studied.

  • A recommended location for the deployment of energy extraction devices for electricity production.

Graphical Abstract

Graphical Abstract
Graphical Abstract

In view of the foreseen increase in energy demand (Hafner et al. 2018; Warner & Jones 2018) and the challenges imposed by climate change, which require the reduction in the use of fossil fuels, the fostering of sources of renewable energy (Deichmann et al. 2011; Ouedraogo 2017; Warner & Jones 2018; United Nations Department of Economic and Social Affairs, Sustainable Development Goals 2021) is becoming a priority for the world. Ocean wave energy, which is being exploited on a trial basis in South Africa (ESI Africa South Africa: wave energy power plant development 2015), has the potential to be a viable alternative source of clean energy to remote coastal households, thus reducing the energy-deficit (Owusu & Asumadu-Sarkodie 2016; Hafner et al. 2018) in Sub-Saharan Africa. Regions of high wave energy in Sub-Saharan Africa have been identified on the coast of South Africa and South Madagascar, as they are near the Southern Ocean, where large swells are generated (Semedo et al. 2011). Apart from generating electricity, through turbines, wave energy can also be used to produce potable water via desalination, while seawater can be used as the feed water in the desalination plants (Abd-Elaty et al. 2022; Panagopoulos 2022a, 2022b), and, further, it can be used for water pumping for irrigation.

The Mozambique Channel, which is located in the south-western Indian Ocean, and oriented north-southwards, with two openings, one in the south and the other in the north (Figure 1), may be a suitable site for wave energy production, given the fact that the southern entrance of the channel is adjacent to the extratropical South Indian Ocean, part of the Southern Ocean, where large swell waves are generated, and the northern entrance is adjacent to the Tropical South Indian Ocean, another swell-generating area (Semedo et al. 2011; Lin & Oey 2020). The Mozambique Channel receives swell from both the south and northern entrances in addition to winds generated by the local trade and monsoon winds. The complex interaction of these waves may result in interference patterns, which could either increase or decrease the wave height (Sci. Behaviour of waves. Science Learning Hub 2011; Støle-Hentschel et al. 2020). There are few published studies on wave energy in the Mozambique Channel. Semedo et al. (2011) and Lin & Oey (2020) analysed ocean wave climatology on a global scale and dedicated a chapter to the Western Indian Ocean (WIO), and focussed on wave generation and propagation. Hammar et al. (2012) conducted studies on a number of ocean energy forms in the WIO, including the Mozambique Channel, but on a coarse spatial resolution, hence, less detail. None of the previous studies addressed the variability of wave energy in the study region.
Figure 1

Location of the study area.

Figure 1

Location of the study area.

Close modal

The present paper examines in detail the near-shore wave energy potential in the Mozambique Channel, where the authors expect the occurrence of regions of very high waves as a result of the complex interaction of swell entering from both sides of the entrances and locally generated waves (Sci. Behaviour of waves. Science Learning Hub 2011; Støle-Hentschel et al. 2020). Wave energy potential and wave variability have been assessed at ten selected sites along the coast of Mozambique, Western Madagascar, and near the Comoro and Mayotte islands. Potential applications of available wave energy were discussed based on the wave energy density and variability. The present study contributes to the literature on wave energy near the coast of the Mozambique Channel and it is expected that the information presented in this paper will be useful to Government and other relevant organizations in making an informed decision with regard to major investments for harnessing the wave energy resource of the Mozambique Channel.

Brief description of the study site

The Mozambique Channel is an open channel located in the WIO sub-region (Figure 1). The geographic limits of the Mozambique Channel are described by the International Hydrographic Organization (IHO 1953). The channels extend from about 10°S to 26°S. At the northern boundary, the channel is limited by the line joining the Rovuma estuary and the northern border of Mozambique, passing through the RasHabu Ile Grande Comore, on the Comoro archipelago, to the northern tip of the Madagascar Island. The southern limit is a line joining Cap Sainte-Marie, the southern end of Madagascar Island to Ponto do Ouro, the southern border of Mozambique. The eastern limit is Madagascar's west coast and the western limit is the Mozambique coast. The topography is well described by Breitzke et al. (2017). Its width varies from 400 to 950 km and it has a maximum depth of 3,292 m. There are two distinct seasons, the dry and cool winter season between March and August, and the wet and warm season from September to February (Barimalala et al. 2020). The circulation is dominated by anti-cyclonic and cyclonic me so-scale eddies, which transport warm water from the South Equatorial Current to the Agulhas Current in the south (Lutjeharms et al. 2012). The region is influenced by the trade winds and the northern part is also influenced by the seasonal north-eastern monsoon winds (Semedo et al. 2011). During the southern hemisphere winter, when the north-eastern monsoon occurs, the winds enter the channel from both directions, north and south (Semedo et al. 2011). The wave climatology is dominated by swells generated in the Southern Ocean and propagating northwards through the channel (Semedo et al. 2011), and swell waves generated by the northern winds, penetrate the channel from the northern boundary and propagate southwards (Semedo et al. 2011).

Data set

In this study, weekly data of daily averaged significant wave height and wave period, measured from satellite altimeters, provided by a marine-analyst (http://www.marine-analyst.eu), were used. The data cover the period from 29 June 2019 to 31 December 2021, in the selected quadrats in the Mozambique Channels, whose coordinates are given in Table 1 (see Figure 1 for further geographical locations).

Table 1

Coordinates of the quadrats where the wave data were retrieved

RegionLocalLatitude (°S)
Longitude (°E)
InitialFinalInitialFinal
Western side of the channel Moroni 11.37 12.01 42.85 43.24 
Pemba 10.92 13.28 40.25 42.45 
Angoche 16.09 16.09 39.86 40.25 
Beira 18.96 20.92 34.61 37.24 
Inhambane 21.23 23.50 35.11 37.57 
Eastern side of the channel Mayotte 11.32 11.97 43.45 43.85 
Nosy Be 12.96 13.61 47.80 48.19 
Cape St. Andre 15.80 16.44 44.42 44.81 
Morondava 19.95 20.60 43.87 44.26 
Toliara 23.33 23.66 43.51 43.65 
RegionLocalLatitude (°S)
Longitude (°E)
InitialFinalInitialFinal
Western side of the channel Moroni 11.37 12.01 42.85 43.24 
Pemba 10.92 13.28 40.25 42.45 
Angoche 16.09 16.09 39.86 40.25 
Beira 18.96 20.92 34.61 37.24 
Inhambane 21.23 23.50 35.11 37.57 
Eastern side of the channel Mayotte 11.32 11.97 43.45 43.85 
Nosy Be 12.96 13.61 47.80 48.19 
Cape St. Andre 15.80 16.44 44.42 44.81 
Morondava 19.95 20.60 43.87 44.26 
Toliara 23.33 23.66 43.51 43.65 

Modern methods of ocean wave assessment are based on altimetry, with the height and period of waves determined from remote-sensing observations and calibrations using buoy measurements (Hammar et al. 2012). Indeed, altimetry data with higher spatial and temporal resolution was thought to generate more conservative estimates for the WIO coast (Hammar et al. 2012). Despite these advantages, there are two major drawbacks of remote-sensing methods, namely inaccuracy in near-shore waters (Krogstad & Barstow 1999; Cornett 2008a) and difficulties in fully accounting for the energy in ocean swell (Krogstad & Barstow 1999).

Wave power estimates

The wave power or wave energy flux per unit length of a crest (W m−1) was calculated using the following equation (Semedo et al. 2011; Doorga et al. 2018):
(1)
where PW is the wave power, ρ = 1,024 kg m−3 is the density of sea water, g = 9.81 m s−2 is the acceleration due to gravity, Hs is the significant wave height in metres and Te is the wave energy period given in seconds. The wave energy period is related to the peak wave period by the following formula, assuming a Pierson–Moskowitz wave spectrum shape (Sierra et al. 2016; Doorga et al. 2018):
(2)
Combining Equations (1) and (2), and substituting the constants, the wave energy flux per metre of wave crest front length [kW m−1] is given by Doorga et al. (2018):
(3)

Besides estimating the wave energy potential at the sites, the temporal variability of the energy was also calculated. Steady wave energy fluxes are preferred to unsteady wave regimes due to the fact that they are more reliable and display greater efficiency, according to Rusu & Soares (2012).

Two coefficients that were proposed by Cornett (2008b) and applied by (Doorga et al. 2018) are employed to assess the temporal variability in wave power for selected sites around the island. They are the Coefficient of Variation (CV) and the Seasonal Variability Index (SV). The CV is obtained through the ratio of standard deviation (σ) of the wave power time series [P(t) and the mean power (μ)]. A lower CV value is preferable to ease the sizing of a wave conversion system and to reduce the possible dumping of the converted wave energy. The CV is given by:
(4)
The SV gives an indication of the seasonal variation that exists within the analysed time frame. It is obtained by subtracting the mean wave power for the highest (PS(max)) and lowest (PS(min)) energy seasons and dividing it by the annual mean wave power (Pyear). The equation describing SV is given by (Doorga et al. 2018):
(5)
Also of interest is the probability of occurrence of waves with characteristics above the threshold for viable energy harvesting. In the present work, threshold values of 1.6 m for significant wave height and energy flux of 10 kW m−1 were set, as used by Hammar et al. (2012) and Spaulding & Grilli (2010). The probability for the occurrence of waves above the critical level, assuming a Gaussian distribution, was determined by the following relationship (Jaynes 2003):
(6)
where x is the wave parameter, Φ is the probability density function of the standard normal distribution, xc is the threshold or critical level, and μ and σ are the mean and standard deviation of the variable x, respectively.

Time series of wave properties and wave energy flux

Figures 2 and 3 present the time series of significant wave height, wave period, and wave energy flux at the selected sites near the coast in the western and eastern Mozambique Channel. On the western side of the Mozambique Channel (Figure 2), the significant wave height varied from about 0.5 m to about 5 ± 0.5 m, with the highest values observed in Inhambane, the most southern point studied. At this location, the average significant wave height was about 2 ± 0.7 m, followed by Beira with an average significant wave height of about 1.8 ± 0.6 m. The northern survey sites had an average significant wave height of about 1.3 ± 0.5 m. Swell heights peak at 4–4.5 ± 0.6 m during storms. There is a seasonal variation; in the southern hemisphere winter, which spans from April to October, wave heights were higher. The wave period ranged from about 4 to 14 ± 1.8 s, averaging at 4–5 ± 1.3 s, with no clear differences along the channel. The energy flux time series followed similar patterns to that of wave height, with values varying from about 1 to 85 ± 14.5 kW m−1. The highest energy fluxes were recorded in Inhambane, averaging at 16 ± 9.4 kW m−1, followed by Beira with an average of 11 ± 5.7 kW m−1. The northern sites had an average of 6 ± 3.5 kW m−1 each. The Inhambane and Beira sites exceeded on many occasions the minimum threshold of both the significant wave height (1.5 m) and energy flux (10 kW m−1), making them the most suitable areas for the installation of wave energy extraction devices.
Figure 2

Time series plots of significant wave height, wave period, and wave energy flux, near the coast, on the western side of the Mozambique Channel.

Figure 2

Time series plots of significant wave height, wave period, and wave energy flux, near the coast, on the western side of the Mozambique Channel.

Close modal
Figure 3

Time series plot of significant wave height, wave period, and wave energy flux, near the cost, in the eastern side of the Mozambique Channel.

Figure 3

Time series plot of significant wave height, wave period, and wave energy flux, near the cost, in the eastern side of the Mozambique Channel.

Close modal

On the eastern side of the Mozambique Channel (Figure 3), the significant wave height varied from about 0.4 to 4.7 m, with the southernmost stations experiencing the largest waves. The average significant wave height at Toliara, the southernmost point, was 2.1 ± 0.8 m and at Morandavait was 1.7 ± 0.8 m, whereas at the northern stations the average significant wave height was 1.3 ± 0.5 m for Mayotte, 1.2 ± 0.4 m for Nosy Be, and 1.1 ± 0.4 m for Cape St. Andre. The wave period varied from about 3.7 ± 1.4 to 14.5 ± 1.7 s, with longer period waves observed in the southern part of the channel at Toliara, with an average wave period of about 10 ± 1.6 s and at Morondava with an average period of about 9 ± 1.7 s. At the northern stations, the average wave period was about 6–7 ± 1.4 s. The energy flux varied from 0.3 to 94 ± 17.2 kW m−1, with the highest energy flux, observed at Toliara, the southernmost station, where the average was 23 ± 11.3 kW m−1, followed by Morondava, where the average energy flux was 13 ± 3.5 kW m−1. The average energy flux at the northern stations varied in the range 4.5–6 ± 2.9 kW m−1, with the highest (6 ± 2.9 kW m−1) observed at Mayotte. The significant wave heights were below the minimum threshold (1.5 m) in most cases, except at Toliara and Morondava, where there were long periods when the threshold was exceeded. There is also a seasonal signal here, with the highest waves in the southern hemisphere winter, which coincides with the Indian ocean South-West Monsoon. Again, the southern sites are the most suitable for the installation of wave energy extraction devices.

Frequency distribution of the waves

Figures 4 and 5 show the frequency distributions of significant wave height, fitted with a Gaussian distribution curve, near the coast on the western and eastern sides of the Mozambique Channel, respectively. On the western side of the channel (Figure 4), the distribution curves have a skewness of 1 at Moroni and a skewness of 1.4 at Inhambane. More frequent high waves were observed at Inhambane, the southernmost site, where the most commonly occurring waves had a significant wave height in the interval 1–2 m, with the mode at 1.7 m. At Moroniand Beira, the mode was 1.6 m, followed by Angoche and Pemba, with the mode at 1.4 and 1.3 m, respectively. On the eastern side of the channel (Figure 5), the frequency distributions of the significant wave height are moderately skewed, with skewness values around 0.7–1.1. Mayotte, Nosy be, and Cape St. Andre presented a single mode at about 1.3 m, whereas Morondava presented a bi-modal shape, with modes at 1.3 and 2.3 m and Toliara presented a widespread shape spanning from 0.9 to 4.7 m.
Figure 4

Frequency distribution of the significant wave height on the western side of the Mozambique Channel.

Figure 4

Frequency distribution of the significant wave height on the western side of the Mozambique Channel.

Close modal
Figure 5

Frequency distribution of the significant wave height on the eastern side of the Mozambique Channel.

Figure 5

Frequency distribution of the significant wave height on the eastern side of the Mozambique Channel.

Close modal
Figures 6 and 7 show the frequency distributions of the wave period, also fitted with a Gaussian distribution curve. On the western side of the channel (Figure 6), the distribution curves varied from nearly normal, with the skewness value of 0.4 at Moroniand 0.5 at Inhamabne, to moderately skewed, with skewness values of 0.6–0.8 at the other sites. The most commonly occurring waves had a wave period in the interval 7–9 s, with longer period waves (≥8 s) observed at the southern sites (Inhambane) up to Angoche. The mode at Pemba is 5.7 s, and at Moroni 7.1 s. On the eastern side of the channel (Figure 7), only Mayotte displayed a skewed curve, with a skewness of 1.6, the other sites displayed a quasi-normal distribution shape with skewness varying from −0.3 to 0.5. Moroni and Toliara, the southernmost and the northernmost sites, presented a single mode, at about 7 and 10.5 s for Mayotte and Toliara, respectively. The other sites presented multiple mode shapes, spanning from 5 to 12 s.
Figure 6

Frequency distribution of the wave period at the western side of the Mozambique Channel.

Figure 6

Frequency distribution of the wave period at the western side of the Mozambique Channel.

Close modal
Figure 7

Frequency distribution of the wave period at the eastern side of the Mozambique Channel.

Figure 7

Frequency distribution of the wave period at the eastern side of the Mozambique Channel.

Close modal

Significant wave height vs. wave period

The relationship between the significant wave height and the wave period gives an idea of the steepness of the wave. Figures 8 and 9 show scatter plots of the significant wave height and wave period at the selected sites in the western and eastern Mozambique Channel, respectively. On the western side of the channel (Figure 8), most of the waves had significant wave height and wave period in the range of 0.5–2 m and 5–14 s, respectively, suggesting low wave steepness. At Inhambane, Beira, and Angoche there were steeper waves with wave periods in the range of 5–7 s and wave heights up to 4–5 m. On the western side of the channel (Figure 9), Nosy Be and Cape St. Andre presented less steep waves, with wave periods in the range of 4–10 s and wave heights in the range of 0.5–1.8 m and 4–18 s and 0.5–1.8 m, respectively. The southern stations, Toliara and Morondava, experienced steeper waves, with wave periods in the range of 5–18 s and wave heights greater than 4 m.
Figure 8

Scatter plot diagram of significant wave height and wave period on the western side of the Mozambique Channel.

Figure 8

Scatter plot diagram of significant wave height and wave period on the western side of the Mozambique Channel.

Close modal
Figure 9

Scatter plot diagram of significant wave height and wave period on the eastern side of the Mozambique Channel.

Figure 9

Scatter plot diagram of significant wave height and wave period on the eastern side of the Mozambique Channel.

Close modal

Wave energy as a function of wave state

Figures 10 and 11 present contour plots of the wave energy with respect to significant wave height and wave period in the selected sites near the coast on the western and eastern sides of the Mozambique Channel, respectively. On the western side of the channel (Figure 10), the highest energy was observed at Inhambane, the southernmost site, where the most energetic waves(≥50 ± 14.5 kW m−1) occurred for significant wave heights equal to or greater than 3.5 m and a wave period of 10 ± 1.8 s. Pemba and Angoche experienced the highest energy (≥30 ± 5.7 kW m−1) at significant wave heights equal to or greater than 2.5 m and wave periods in the interval 9–10 ± 1.8 s, whereas at Moroni and Beira the energy peaked ((≥25 ± 5.7 kW m−1) also at significant wave heights equal to or greater than 2.5 m but at wave periods in the interval 10–11 ± 1.8 s. On the eastern side of the channel (Figure 11), energetic waves were also recorded at Morondava and Toliara, the southernmost sites, with energy peaking from 30 ± 5.7 up to 70 ± 14.5 kW m−1 and up to 55 ± 13.5 kW m−1, respectively, and at the significant wave height in the interval 1.5–3 ± 0.5 m and wave period 10–11 ± 1.7 s, followed by Mayotte, the northernmost site, with energy in the interval 10–30 ± 5.2 kW m−1, at the significant wave height of about 1.5 ± 0.5 m and wave period of about 10 ± 1.8 s. Low energetic waves were observed at Nose (5–10 ± 2.9 kW m−1) and Cape St. Andre (10–15 ± 2.9 kW m−1), with energy peaking at 1.2–1.5 ± 0.5 m significant wave height and wave period 6–10 ± 1.8 s.
Figure 10

Contour plots of wave energy as a function of significant wave height and wave period on the western side of the Mozambique Channel.

Figure 10

Contour plots of wave energy as a function of significant wave height and wave period on the western side of the Mozambique Channel.

Close modal
Figure 11

Contour plots of wave energy as a function of significant wave height and wave period on the eastern side of the Mozambique Channel.

Figure 11

Contour plots of wave energy as a function of significant wave height and wave period on the eastern side of the Mozambique Channel.

Close modal

An understanding of the performance of wave energy converters in different wave states is essential for the constructional details, cost, and efficiency of the installed device. It would be preferable to install a wave energy converter in wave conditions having a maximum total energy flux rather than in one having maximum occurrence.

Wave variability and summary of wave statistics

Tables 2,34 present the summary statistics of the wave characteristics and wave energy near the coast in the western and eastern Mozambique Channel. From Table 2, it can be seen clearly that the southern Mozambique Channel experiences the highest waves on both sides of the channel (1.7–2.1 m, on average). The northern part of the channel experiences lower waves (1.2–1.4 m). The probability of the significant wave height attaining and exceeding the minimum threshold values (1.6 m) averages 63% on the western side against 62% on the eastern side. This is considered a marginal difference, though. Both sides of the channel displayed high variability of 34–47% and seasonal variability (1.6–2.5). From Table 3, summary statistics for the wave period, it can be seen that large swell waves were recorded in the southern part of the channel, where the largest (10 s on average) were recorded on the western side, followed by the northern site with an average period of 8.5 s in the western side. The variability in wave period was low (15–24%) and the seasonal variability was also low (1.0–1.4) compared with the variability of the significant wave height. From Table 4, referring to energy flux, it can be seen that the most energetic waves (11–23 ± 4.5 kW m−1) were encountered in the southern part of the channel, with the highest energy (13–23 ± 4.5 kW m−1, on average) observed in the eastern part of the channel. In the northern part of the channel, the energy averaged to 4–7 ±2.5 kW m−1. The variability of the wave energy was highest on the western side of the channel (80–108%) compared with the eastern side (71–99%). However, the probability of the energy flux attaining and exceeding the threshold value (10 ± 2.5 kW m−1) was higher on the western side, averaging 63%, compared to the eastern side where it averaged 61%.

Table 2

Summary of statistics of significant wave height near the coast of the Mozambique Channel

RegionSiteAverage [m]Min [m]Max [m]Standard deviation [m]Mode [m]Probability for Hs ≥ 1.5 m [%]CV [%]SVSkewness
Western side Moroni 1.3 0.5 3.3 0.5 1.6 63 37.3 2.1 1.0 
Pemba 1.4 0.5 4.0 0.6 1.3 63 41.2 2.5 1.3 
Angoche 1.6 0.5 4.3 0.7 1.4 63 42.3 2.4 1.2 
Beira 1.8 0.9 3.8 0.6 1.6 63 35.4 1.6 1.2 
Inhambane 2.1 1.1 4.6 0.7 1.7 62 34.5 1.7 1.4 
Eastern side Mayotte 1.4 0.5 3.3 0.5 1.3 63 37.2 2.0 0.9 
Nosy Be 1.2 0.5 2.7 0.4 1.3 62 36.8 1.8 0.9 
Cape St. Andre 1.1 0.4 3.1 0.4 1.3 61 37.0 2.4 1.1 
Morondava 1.7 0.5 4.8 0.8 – 63 47.7 2.5 1.1 
Toliara 2.1 0.8 4.5 0.8 2.3 62 39.2 1.7 0.7 
RegionSiteAverage [m]Min [m]Max [m]Standard deviation [m]Mode [m]Probability for Hs ≥ 1.5 m [%]CV [%]SVSkewness
Western side Moroni 1.3 0.5 3.3 0.5 1.6 63 37.3 2.1 1.0 
Pemba 1.4 0.5 4.0 0.6 1.3 63 41.2 2.5 1.3 
Angoche 1.6 0.5 4.3 0.7 1.4 63 42.3 2.4 1.2 
Beira 1.8 0.9 3.8 0.6 1.6 63 35.4 1.6 1.2 
Inhambane 2.1 1.1 4.6 0.7 1.7 62 34.5 1.7 1.4 
Eastern side Mayotte 1.4 0.5 3.3 0.5 1.3 63 37.2 2.0 0.9 
Nosy Be 1.2 0.5 2.7 0.4 1.3 62 36.8 1.8 0.9 
Cape St. Andre 1.1 0.4 3.1 0.4 1.3 61 37.0 2.4 1.1 
Morondava 1.7 0.5 4.8 0.8 – 63 47.7 2.5 1.1 
Toliara 2.1 0.8 4.5 0.8 2.3 62 39.2 1.7 0.7 
Table 3

Summary of statistics of wave period near the coast of the Mozambique Channel

RegionSiteAverage [s]Min [s]Max [s]Standard deviation [s]Mode [s]CV [%]SVSkewness
Western side Moroni 8.5 5.1 13.6 1.8 7.1 21.5 1.0 0.4 
Pemba 7.1 4.2 13.8 1.6 5.7 22.8 1.3 0.8 
Angoche 8.5 5.4 14.1 1.7 8.1 20.2 1.0 0.7 
Beira 7.6 5.2 11.5 1.3 8.9 17.2 0.8 0.6 
Inhambane 8.1 5.1 12.8 1.7 8.5 20.5 1.0 0.5 
Eastern side Mayotte 6.9 4.6 14.5 1.5 – 21.3 1.4 1.6 
Nosy Be 6.2 3.7 10.3 1.4 3.7 22.8 1.1 0.4 
Cape St. Andre 7.7 3.8 13.1 1.9 6.5 24.2 1.2 0.5 
Morondava 9.3 4.7 14.1 1.9 – 20.9 1.0 −0.1 
Toliara 10.2 6.4 14.1 1.6 – 15.7 0.8 −0.3 
RegionSiteAverage [s]Min [s]Max [s]Standard deviation [s]Mode [s]CV [%]SVSkewness
Western side Moroni 8.5 5.1 13.6 1.8 7.1 21.5 1.0 0.4 
Pemba 7.1 4.2 13.8 1.6 5.7 22.8 1.3 0.8 
Angoche 8.5 5.4 14.1 1.7 8.1 20.2 1.0 0.7 
Beira 7.6 5.2 11.5 1.3 8.9 17.2 0.8 0.6 
Inhambane 8.1 5.1 12.8 1.7 8.5 20.5 1.0 0.5 
Eastern side Mayotte 6.9 4.6 14.5 1.5 – 21.3 1.4 1.6 
Nosy Be 6.2 3.7 10.3 1.4 3.7 22.8 1.1 0.4 
Cape St. Andre 7.7 3.8 13.1 1.9 6.5 24.2 1.2 0.5 
Morondava 9.3 4.7 14.1 1.9 – 20.9 1.0 −0.1 
Toliara 10.2 6.4 14.1 1.6 – 15.7 0.8 −0.3 
Table 4

Summary of statistics of wave energy flux near the coast of the Mozambique Channel

RegionSiteAverage [kW m−1]Min [kW m−1]Max [kW m−1]Standard deviation [kW m−1]Mode [kW m−1]Probability of energy ≥ 10 kW m−1CV [%]SVSkewness
Western side Moroni 7.0 0.9 40.8 5.6 – 62 80.2 5.7 – 
Pemba 7.0 1.0 66.7 7.6 – 63 108.8 9.4 – 
Angoche 10.5 1.1 59.1 10.1 – 63 96.2 5.5 – 
Beira 11.3 2.5 45.0 9.3 – 63 82.3 3.8 – 
Inhambane 16.7 2.8 84.9 14.5 – 63 86.6 4.9 – 
Eastern side Mayotte 6.1 0.6 36.1 5.2 – 62 853 5.8 – 
Nosy Be 4.1 0.3 15.0 2.9 – 60 71.2 3.6 – 
Cape St. Andre 4.5 0.5 257 3.5 – 60 78.2 5.7 – 
Morondava 13.4 1.0 93.6 23.2 – 63 98.7 6.9 – 
Toliara 22.7 3.0 82.5 17.2 – 62 75.7 3.5 – 
RegionSiteAverage [kW m−1]Min [kW m−1]Max [kW m−1]Standard deviation [kW m−1]Mode [kW m−1]Probability of energy ≥ 10 kW m−1CV [%]SVSkewness
Western side Moroni 7.0 0.9 40.8 5.6 – 62 80.2 5.7 – 
Pemba 7.0 1.0 66.7 7.6 – 63 108.8 9.4 – 
Angoche 10.5 1.1 59.1 10.1 – 63 96.2 5.5 – 
Beira 11.3 2.5 45.0 9.3 – 63 82.3 3.8 – 
Inhambane 16.7 2.8 84.9 14.5 – 63 86.6 4.9 – 
Eastern side Mayotte 6.1 0.6 36.1 5.2 – 62 853 5.8 – 
Nosy Be 4.1 0.3 15.0 2.9 – 60 71.2 3.6 – 
Cape St. Andre 4.5 0.5 257 3.5 – 60 78.2 5.7 – 
Morondava 13.4 1.0 93.6 23.2 – 63 98.7 6.9 – 
Toliara 22.7 3.0 82.5 17.2 – 62 75.7 3.5 – 

Spatio-temporal distribution of wave energy patterns

The results of the present study showed clearly that the highest significant wave heights, and hence, the most energetic waves, given the close correlation between the significant wave height and wave energy flux, were observed in the southern part of the channel. Here, significant wave heights reached 4.5 ± 0.7 m and averaged to about 2 ± 0.5 m. Wave energy flux averaged at 16–22 ± 5.6 kW m−1 at Inhambane and Toliara, the southernmost sites studied. The northern opening of the channel was also characterized by relatively high energetic waves with an average significant wave height in the range 1.3–1.4 ± 0.5 m and attaining maxima of 3–4 ± 0.5 m. The energy flux is in the range of 7.0–10.5 ± 5.6 kW m−1 on average peaking at 40–66 ± 9.3 kW m−1.

These results are consistent with the findings of previous studies about wave climatology on a global scale (Semedo et al. 2011; Panagopoulos 2022a) and specifically for the WIO (Hammar et al. 2012). The high-energy waves in the southern part of the channel are attributed to swell from the Extratropical South Indian Ocean (Semedo et al. 2011; Lin & Oey 2020; Colosi et al. 2021; Rossi et al. 2021), whereas those observed in the northern part of the channel are attributed to swell generated in the Tropical South Indian Ocean region (Semedo et al. 2011; Hammar et al. 2012).

The central part of the channel was characterized by relatively low-energy waves, probably due to the fact that this region is less exposed to swell. However, in the western central part of the Mozambique Channel, on the Mozambique coast, large waves are observed. These have an average significant wave height in the range of 1.6–1.8 ± 0.5 m. The significant wave height here reaches a maximum of 3.8–4.3 ± 0.8 m and the average wave energy flux is 10.5–11.3 ± 5.6 kW m−1 at Angoche and Beira, compared to values of 1 m and 4.5 ± 0.8 kW m−1 for Cape St. Andre on the central-eastern side of the channel. There was no evidence of larger waves resulting from constructive interference of waves inside the channel. The increase in wave height and wave energy on the western side of the channel may be attributed to Kelvin waves (Griffiths 2013).

The wave patterns in the whole of the Mozambique Channel exhibited a seasonal cycle, with large waves occurring during the time of the southern monsoon, during the southern hemisphere winter, as can be seen in the time series plots (Figures 2 and 3). This result is consistent with previous studies by Colosi et al. (2021), who attributed the observed high waves in the winter to seasonal changes in high-latitude storm patterns that generate swell which propagates equatorward.

Wave power variability and sustainability threshold

The waves in the Mozambique Channel are highly variable with a proportion of the variability of 34–47% for significant wave height and over 70% for wave energy. This high variability may be attributed to the effect of storms and cyclones which frequently affect the region (Matyas 2015; Muthige et al. 2018). High variability may affect the sustainability of any wave energy exploitation device (Rusu & Soares 2012). However, the thresholds for the viable exploitation of waves for energy production of 1.5 m for significant wave height and 10 kW m−1 for energy flux, are exceeded most of the time in the southern Mozambique Channel. This means that, though there is high wave variability, there is usually sufficient power to generate electricity and the southern part of the channel is suitable for wave energy harvesting for electricity production. On the western central and northern parts of the Mozambique Channel, the thresholds are exceeded from July to November, making these sites suitable for seasonal electricity production.

Wave power available and applications

There are many applications of wave energy, including electricity generation, water desalination, and pumping of water. Concerning electricity production, the threshold for technical and economic viability is set based on the converter devices. Wave exploitation for electricity production is recommended in areas with wave energy density ≥25 ± 5.6 kW m−1 (Lavidas & Blok 2021). It has been argued that moderate wave resources (<25 ± 5.6 kW m−1) may be economically viable if an optimal device is employed (Lavidas & Blok 2021). The threshold of 10 kW m−1 chosen in this study, based on Hammar et al. (2012), would assure sustainable electricity production in the southern part of the channel. But, based on the argument by Lavidas & Blok (2021), we recommend the development of appropriate devices for harvesting wave energy for electricity production in the western central Mozambique Channel, where the energy density is about the average for the world ocean (Colosi et al. 2021). Furthermore, the whole coastline of the Mozambique Channel has wave energy potential for water desalination as stated by Abd-Elaty et al. (2022) and further argued by Panagopoulos (2022a, 2022b) and for water pumping for irrigation, as these applications are the least demanding in terms of energy power and variability. Both desalination and irrigation would have a significant positive impact on the livelihood of people living in coastal areas and on coastal area development in the region, considering the fact that more than half of the population of the region lives in coastal areas (Taylor et al. 2019).

This study was based on averaged data over space and time, and therefore, the results must be interpreted with caution. The wave and wave energy climate near the coast of the Mozambique Channel are highly variable, changing as storms and cyclones pass through the area. However, the minimum threshold of significant wave height (1.5 m) and wave energy flux (10 kW m−1) for electricity production is exceeded most of the time in the southern part of the channel. The southern winter is the time for the highest waves and greatest energy, and is, therefore, the most promising season for the deployment of wave energy harvesting devices. Although one should interpret with caution, the finding in this study suggests that the whole coast of Mozambique Channel is suitable for applications of wave energy resources for desalination and water pumping, with the potential to enhance the livelihood of more than half of the population of the region. The present study recommends studies on the development of appropriate wave energy harvesting devices for electricity production to match the power available in the central western and northern Mozambique Channel, where the energy density is at the level of the world ocean average. Further studies should be directed towards the exploitation of applications of the available wave resources for coastal development.

The research was part of PhD studies on renewable energy, financially supported by the Eduardo Mondlane University post-graduate research grant, under the SIDA-SAREC Project No 2.1.6. Thanks, are also due to Mrs Faith Bowers and Prof. D.G. Bowers for the constructive remarks and suggestions, which significantly improved the quality of the manuscript.

All relevant data are included in the paper or its Supplementary Information.

The authors declare there is no conflict.

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