Changes in Ground Displacement Anticipated the 2021 Cumbre Vieja Eruption (La Palma, Spain)

Highlights

What are the main findings?

• InSAR shows a deforming area in La Palma Island coinciding with the direction of the rising magma of the Cumbre Vieja volcano.
• This area first experiences subsidence (the effect of the volcano’s weight on lower density sediments), then, 9 months before the eruption, uplift (effect of the magma upwelling from a depth of 15–25 km to 5 km).

What are the implications of the main findings?

• This unprecedented uplift is a precursor revealing shallower magmatic activity.
• The uplift can be a newly discovered precursor signal of future eruptions of the Cumbre Vieja volcano.

Abstract

In the last decades, satellite remote sensing has played a key role in Earth Observation, as an effective monitoring tool applied to geo-hazard identification and mitigation. In particular, the differential synthetic aperture radar interferometry technique provides incomparable information on ground movements related to volcanic unrest, co-eruptive deformation, and volcano flank motion. In this work, ground deformation data derived from Sentinel-1 satellites were analyzed over the Cumbre Vieja volcano, located in the southern part of La Palma Island, Canary archipelago. The volcano started to erupt on 19 September 2021, after a seismic swarm. The eruption buried hundreds of buildings and properties, causing severe economic losses. Analyzing the vertical ground displacement of the volcano in the year preceding the eruption, the results show that ground deformation can be considered a precursor of the eruption, which allows us to identify the phases of the magmatic ascent up to the opening of the eruptive vent. Interestingly, after a subsidence phase lasting 4 months, the ground displacement rate reverted and an uplift was observed, lasting 9 months, marking an uplift on the Cumbre Vieja volcano related to volcanic activity. This can be interpreted as the effect of the magma rising from the deeper chamber (15–25 km) to an intermediate stagnation zone (5 km) that provided a measurable anticipation of the eruption by 9 months. In the future, regular monitoring of Cumbre Vieja could adopt uplift detection as an indicator for shallow magma activity and as a possible eruption precursor.

1. Introduction

La Palma is the northwesternmost island belonging to the Canary Islands, a volcanic archipelago located at the passive NW margin of the African plate (Figure 1). It is the second youngest island, and during its history it experienced N to S migration of its volcanic activity [1,2] up to the current Cumbre Vieja volcano; the Cumbre Vieja volcano constitutes the southernmost part of the island, and during its 125 ka of eruptive activity has been the most active volcano in the Canary Islands [2,3,4,5].

The western flank of Cumbre Vieja is considered unstable, plausibly due to the presence of a sliding surface at depth, and is potentially tsunamigenic [3]. The scarp/headwall of the deep-seated sliding surface coincided with the site of the 1949 [3,6] and 2021 eruptions [7]. The W flank showed subsidence deformations in both GNSS (with data covering a time span from 1994 to 2007; [8]) and InSAR data (with data covering a time span from 1992 to 2000 and from 2003 to 2008; [9]), and the subsidence was related to the presence at depth of volcanoclastic material with lower density compared to the high-density material that makes up the volcano edifice [9,10,11].

In 1949 three eruptive centers formed in the Cumbre Vieja ridge during the so-called San Juan eruption [6,12], which was preceded by more than two years of seismic activity [6,13]. In 1971 the Teneguía eruption, that began by opening a several-hundred-meter-long fissure, was preceded by strong seismicity [14].

Similarly, the latest eruption, the Tajogaite eruption, which occurred on the 19 September 2021 and lasted for 85 days [15], was long anticipated by seismic activity [5,16]; in fact, in October 2017 and February 2018 two seismic swarms were recorded in the Cumbre Vieja area [5,16,17,18,19], concomitant with anomalous gas emission, likely associated with a magmatic intrusion at 15–25 km depth [16,20], in correspondence with a sub-horizontal volume aligned along a E–W direction that is known to store pre-eruptive magma [21,22,23,24,25,26,27] and from where these swarms are originated. A third swarm started on the 8 September 2021, anticipating the onset of the Tajogaite eruption by 11 days [20,28]. It consisted of two phases: a pre-eruptive phase, lasting from 8 to 16 September, and a co-eruptive phase, from 17 to 22 September (Figure 1).

Short-term ground deformation measured during the pre-eruptive phase suggested an initial magma source at ca. 5 km depth b.s.l., with a volume change of 5.62 × 10⁶ m³ [28]. On the other hand, the deformation during the co-eruptive phase was associated with two dikes at two different depths (950 and 1419 a.s.l.), characterized by a variation in strike (deeper: strike 116°; shallower: strike 144°) and a little variation in dip (deeper: dip 62°; shallower: dip 64°), thus showing an upward shift in seismicity from the pre-eruptive phase (ca. 5 km) to the co-eruptive phase (ca. 1 km), which enabled linking the source of the pre-eruptive deformation to the surface [28].

Precursor events such as these are also associated with ground deformation; ground displacement and/or its rate of change (displacement rate) have been identified as reliable precursors of volcanic eruptions [29,30,31,32,33]. In particular, space-borne interferometric techniques are largely employed to measure ground displacement, given the wide areas over which volcanic phenomena occur [34,35,36,37].

Here we demonstrate that the variation of the displacement rate (acceleration), measured by interferometric techniques with synthetic aperture radar data of the Sentinel-1 constellation, allows us to anticipate the eruption of Cumbre Vieja (La Palma, Canary Islands, Spain) by about nine months.

2. Materials and Methods

InSAR is a technique that analyzes radar signals emitted from satellites to detect and measure changes on the Earth’s surface. In fact, by comparing phase shifts between a series of radar images acquired over time, often, after the necessary data processing to address issues like phase wrapping, the displacement of targets can be measured in the range of a few millimeters to tens of centimeters per year. It is widely used to detect ground movements caused by natural and anthropic factors, such as earthquakes [38,39], subsidence [40,41], landslides [42,43], and volcanoes [35,44].

Its first application to volcanoes was in 1995 [45], when this technique was utilized to measure the apparent deflation of Mount Etna (Italy). After this seminal work, many other studies followed [46,47,48,49,50,51,52,53,54,55] that underlined the potential and limits of this technique. The inherent difficulties include the effect of atmospheric noise, which can affect measurement accuracy, the days-long revisit time, which makes it difficult to monitor areas experiencing fast pace changes, the presence of snow, ice, and vegetation cover, which often limit the size of the study area, line of sight, which reduces the sensitivity to N–S oriented movements.

Despite this, InSAR has proved a game-changer in volcanology [56] as it allows for worldwide deformation measurements over large areas covering entire volcanic edifices.

The same technique has also been exported to ground-based platforms: to measure conduit pressurization pulses and crater rim sliding in a Stromboli volcano (Italy) [57,58], to set-up early warning frameworks [59], to use radar amplitude maps instead of interferograms [60], to study the geomorphological characteristics of volcanic flanks and deposits, and to map magmatic intrusions [61].

Over the years, numerous InSAR techniques have been developed to process satellite radar data, such as Permanent Scatterer Interferometry (PSI) [62,63], Small BAseline Subset (SBAS) [64], and SqueeSAR [65].

The PSI methodology [35,63] represents a cornerstone in the evolution of radar interferometry. It provided the first robust framework capable of mitigating temporal and geometric decorrelation by selecting stable scatterers. This approach allowed for the precise separation of the atmospheric phase screen from deformation and residual topographic errors, laying the foundation for modern time-series analysis [66].

It exploits multiple SAR images acquired over the same area and appropriate data processing to separate the displacement phase component from atmospheric, topographic, and orbital errors. This approach relies on identifying pixels, known as Permanent Scatterers (PS), where the response to the radar is dominated by a strong reflecting object and remains constant over time. PSI allows for the estimation of deformation time series and deformation velocity with high precision, but its major constraint is that it is limited to scatterers exhibiting sufficiently high coherence (e.g., buildings, exposed rocks, or metal structures), which typically leads to low PS density in non-urban or vegetated areas.

Following the initial PSI developments, Berardino et al. [64] introduced the Small Baseline Subset (SBAS) technique. This method mitigates spatial decorrelation by selecting interferometric pairs with short baselines and reduces phase noise through multi-looking, relying on coherence thresholds for pixel selection. By linking independent small baseline subsets, SBAS significantly enhances both spatial and temporal sampling compared to the original PSI framework. Although the initial algorithm operated on multi-looked data, limiting the detection of local deformation, a full-resolution extension was later developed by Lanari et al. [67]. Furthermore, Hooper et al. [68] advanced the field by proposing a selection method based on phase characteristics, enabling the identification of stable natural targets with low amplitude that are typically overlooked by amplitude-based algorithms [66].

In this work, to maximize the density of measurement points over the variable terrain of La Palma, the SqueeSAR algorithm [65] was used and applied to data retrieved by Sentinel-1, belonging to the European Space Agency. SqueeSAR™ represents a major advancement in multi-interferogram processing as it overcomes the distinction between deterministic and stochastic radar targets by jointly processing PS and Distributed Scatterers (DS). While PS are deterministic point-wise targets dominating the resolution cell (e.g., man-made structures), DS correspond to areas exhibiting moderate coherence, such as debris flows, scattered outcrops, or homogeneous ground, which are typical of volcanic environments.

Unlike PS, which are coherent over long time intervals, DS are stochastic targets characterized by a multitude of individual scattering centers. Under the Gaussian scattering assumption based on the central limit theorem [69], the multi-temporal SAR data vector z relative to a DS pixel can be described by a zero-mean, complex, multivariate Gaussian distribution:

$$\mathrm{f}(\mathbf{z})={\displaystyle \frac{1}{\pi \det \left(\mathit{C}\right)}}\exp \{-\mathrm{j}{\mathbf{z}}^H{\mathit{C}}^{-1 }\mathbf{z}\}$$

(1)

where H denotes complex conjugate transposition and C is the covariance matrix defined as E =$\left[{\mathbf{z}\mathbf{z}}^H\right].$ Since the true covariance matrix is unknown, SqueeSAR estimates the coherence matrix by identifying a set of statistically homogeneous pixels (SHP) in the neighborhood of each target, applying a space-adaptive filter (Kolmogorov–Smirnov test) to select pixels with similar amplitude distributions [65]. The estimated coherence matrix terms ${\{\mathbf{\Gamma }\}}_{kn}$ are given by:

$${\{\mathbf{\Gamma }\}}_{kn}={\gamma }_{kn}{e}^{-j{\varphi }_{kn }}\mathrm{with} 0 \le n, k \le \mathrm{N}$$

(2)

where ${\gamma }_{kn}$ represents the estimated coherence and ${\varphi }_{kn }$ the spatially filtered interferometric phase between image k and image n.

Unlike PS, DS do not necessarily satisfy the phase triangularity property (i.e., ${\varphi }_{ik }\ne {\varphi }_{in }-{\varphi }_{nk }$). Therefore, the SqueeSAR algorithm implements a Maximum Likelihood Estimation (MLE) to “squeeze” the information contained in the coherence matrix and retrieve the optimal vector of N phase values that best fits the observations [65].

This rigorous statistical approach allows for the extraction of signals from DS that would otherwise be discarded by standard PSI techniques due to low coherence in single interferograms. The result is a substantial improvement in the spatial density of measurement points, particularly in rural and volcanic areas, and a significant noise reduction in the displacement time series.

Nowadays there is a large availability of satellite platforms equipped with microwave radar sensors in the C-band (5–6 GHz, 5.6 cm wavelength), X-band (8–12 GHz, 3.1 cm wavelength), and L-band (1–2 GHz, 23.6 cm wavelength). One of the limitations of this technique is that only the component of a displacement parallel to the sensor’s line of sight (LOS) can be measured. The LOS angle varies depending on the satellite and imaging mode and on its orbit (whether the satellite is in its ascending or descending phase). Ascending and descending vectors therefore measure the displacement along different LOS and can be combined to obtain the vertical (V_v) and horizontal eastward components (V_h). This procedure [70] consists in resampling the dataset into a grid where for each cell the average ascending and descending velocities (V_a, V_d) are combined according to the following equations:

V_a = V_v cos(−θ_a) + V_h sin(−θ_a)

(3)

V_d = V_v cosθ_d + V_h sinθ_d

(4)

where θ_a is the line-of-sight incidence angle in ascending orbit and θ_d the line-of-sight incidence angle in descending orbit.

To measure the surface deformation over La Palma Island, the SqueeSAR algorithm [65] was used and applied to Sentinel-1 data in the C-band (5.55 cm wavelength). Images were acquired in the Interferometric Wide (IW) swath mode with a 5 × 14 m spatial resolution. Both ascending and descending geometries have been analyzed to enable the calculation of the vertical and horizontal components. The images span from 3 September 2019 to 16 September 2021 (123 scenes) for the descending track 169 and from 1 September 2019 to 14 September 2021 (124 scenes) for the ascending track 60 (Figure 2;

Table 1. Line of sight geometrical acquisition parameters.

	Line of Sight Angles		Line of Sight Versors
	θ	δ	V	N	E
Ascending	37.6°	9.14°	0.792	−0.097	−0.602
Descending	37.79°	11.88°	0.79	−0.126	0.6

).

3. Results

The data analysis focused on the area where co-eruptive earthquakes were recorded, including the area of the vents of the eruption (Figure 1a,b). The Sentinel-1 data acquired along the ascending and descending orbits have been reprojected to obtain vertical displacement values.

Two maps have been produced, one covering the period spanning from the 3 September 2019 to the 30 December 2020 (Figure 3a) and another one from the 1 January 2021 to the 14 September 2021 (Figure 3b). The cut-off between these two periods has been selected to mark the trend change, as the first period is dominated by subsidence and the second one by uplift. From these maps, five representative pixels have been selected and for each one a displacement time series has been extracted, spanning the whole time range from 3 September 2019 to 14 September 2021 (Figure 4).

The displacement maps clearly highlight a N–S-oriented area affected by deformation, coinciding with the main direction of the uprising magma, as confirmed by the epicenters of the co-eruptive earthquakes (Figure 1). The two maps show opposite behaviors; the period from the 3 September 2019 to the 30 December 2020 denotes a spatially homogeneous subsidence, while the period from the 1 January 2021 to the 14 September 2021 shows a clear uplift.

The five time-series extracted from the maps show the transition between these two behaviors and confirm the overall spatial similarity. At the beginning of the monitoring period, all these points experience subsidence, near to 5 mm in 4 months.

Since January 2020 the subsidence rate starts to gradually decrease until May 2020, when the ground is stable, and no subsidence is recorded in the area. Subsequently, a trend change occurs in January 2021, with an uplift up to 5–7 mm in 9 months (Figure 4). After two years since the first measurement, the uplift has roughly compensated for the previous subsidence.

Another interesting result derives from the variation over time of the vertical displacement rate (i.e., the vertical ground acceleration measured by satellite InSAR data over several days, not to be confused with the ground acceleration measured by seismic sensors). In this case, it is possible to observe the strong acceleration of the soil that was localized in the area since January 2021 by producing an acceleration map (Figure 5).

By calculating some acceleration cross-sections, it appears that the vertical acceleration is concentrated in a reduced NE–SW shaped area, coinciding with the area of maximum occurrence of co-eruptive earthquakes (Figure 6). The external areas, meanwhile, even if involved in the pre-eruptive seismic crisis, do not show ground accelerations measurable with InSAR techniques.

4. Discussion

From the displacement data measured with the Sentinel-1 radar constellation, processed using the SqueeSAR technique, it was possible to highlight how the area involved in the pre-eruptive and co-eruptive phases was characterized by an inversion of the shift data from subsidence to uplift during 2020. Before January 2020, the trend showed a subsidence (nearly 5 mm in 4 months), while during all of 2020 no evident shifts were recorded. While the subsidence of that sector of the island of La Palma was a known fact and had been interpreted as the effect of the volcano’s weight on lower density volcaniclastic sediments [9,10,11], until that point the uplift was only partially associated with magma upwelling (in its last uplift phases; [28]). The location of the deformation sources and the hypocenters are linked to a rapid rise of the magma from the deepest area (hypocenters 2017–2018, 15–25 km) to a short-term accumulation (about 5 km) and, eventually, to a final ascent towards the surface that led to the eruption [28].

Moreover, the uplift began in January 2021, 9 months before the pre-eruptive and co-eruptive seismic crises, and it had never been analyzed before [15]; plausibly, it is to be considered connected with the ascent and stagnation of magma in an area between 15–25 km (seismic swarms of 2017 and 2018) [16], and the source area of pre-eruptive deformation identified at approximately 5 km [28].

This switch from subsidence to uplift caused by magma rising from depth and injecting in a shallower reservoir with subsequent pressurization of the chamber and upward deformation of the ground above it is a well-recognized phenomenon that has been observed at several volcanic systems worldwide and is sometimes called resurgence [71] or reinflation [72].

The most famous case is probably Campi Flegrei (Italy) where this phenomenon is called bradyseism. The Campi Flegrei caldera is a volcanic field hosting a nested caldera complex that historically experiences periods of subsidence (around 1–2 cm per year) occasionally interrupted by rapid uplifts [73], as occurred in 1950–1952 (74 cm uplift), 1970–1972 (159 cm uplift), and 1982–1984 (178 cm uplift) [74,75]. The latest event, in particular, was associated with 16,000 earthquakes up to 4.0 magnitude [76]. The subsidence resumed following this event and was again interrupted in 2005 with a new uplift phase that was again associated with seismic activity that intensified since 2018 [77].

Among basaltic calderas that displayed uplift and seismicity prior to eruptions (such as Kilauea in 2018 and Bárðarbunga in 2014), the Sierra Negra volcano (Galápagos Islands) has shown one of the highest vertical deformations. Sierra Negra presents a flat-topped sill-like magma reservoir at around 2 km depth below the caldera [78,79,80]; before the 2018 eruption, magma supply and accumulation to this shallow reservoir drove 6.5 m of pre-eruptive uplift and seismicity over thirteen years [81].

Another example is Piton de La Fournaise, a shield hot-spot volcano on Réunion Island. The pre-eruptive inflations preceding two eruptions (one in November and another in December 2005) have been linked to the pressure caused by a dyke and/or a shallow source located at a depth around 500–2300 m [82].

Within the same Canary Archipelago as La Palma, the El Hierro volcano also experienced a similar phenomenon. Before the 2011 submarine eruption, around 10,000 earthquakes occurred [83]. The strongest seismic event before the eruption reached a magnitude of M_L = 4.3 and was recorded at 12 km depth [83], corresponding to the locations of magma pockets below El Hierro [84]. The pre-eruptive phase was also associated with an uplift of more than 5 cm [83].

When dealing with volcanic risk management, great attention is paid to eruption early warning methods based, among others, on monitoring pre-eruptive seismicity [81], gas flux tracking magma movement at depth [85], and product composition that can alter lava viscosity and mobility [86,87,88]. Ground deformation is already a well-known indicator for eruptions and volcanic unrest [89,90], although a specific correlation with the Cumbra Vieja eruptions and a volcanological explanation linking the ground uplift to magma storages at intermediate depth was lacking so far. The periodic monitoring of La Palma Island using the InSAR technique could be useful in the future to further enhance the early warning system but also to provide more cross-validation data for other studies concerning magma ascent beneath Cumbra Vieja.

5. Conclusions

The island of La Palma represents one of the greatest potential risks within the whole volcanic Canary archipelago. Though no loss of human life occurred thanks to the early warning system set in place by the authorities which enabled the timely evacuation of the area, the eruption formed a complex cinder cone produced by fire fountain activity, and fed several lava flows causing severe direct and indirect damage; in the end more than 2800 buildings and almost 1000 hectares of land were hit by lava and pyroclastic material.

The latest eruptive phase of the Cumbre Vieja volcano started on 19 September 2021 and lasted for 85 days, long anticipated by seismic activity, making it the first eruption on La Palma Island since the advent of InSAR.

The temporal evolution of ground motion, combined with seismic swarm data, allowed us to correlate surface deformation with magma migration from approximately 25 km to approximately 1 km in depth. Specifically, the pre-eruptive phase which took place from 8 to 16 September 2021, that is, at the end of the uplift and few days before the eruption, has been associated with a magma intrusion at around 5 km b.s.l.

The analysis was conducted on Sentinel-1 data created using the SqueeSAR algorithm; it highlights the important role of satellite remote sensing in the early warning and monitoring of volcanic activity. The results reveal that vertical ground motions anticipated the 2021 Cumbre Vieja eruption in the same N–S-oriented area affected by co-eruptive earthquakes. This area can be outlined with higher precision by mapping the ground acceleration instead of the ground displacement. However, the deformation that occurred in this area was not monotonous. Observations revealed an initial phase of spatially homogeneous subsidence between September 2019 and December 2020 followed by a phase of uplift that started in January 2021, nine months before the eruption. This uplift measured up to 5–7 mm in 9 months and compensated for the previous subsidence.

The subsidence-to-uplift inversion was identified as a crucial indicator of the magmatic ascent phases, plausibly linked to the ascent and stagnation of magma from a deep zone (15–25 km, associated with the 2017 and 2018 seismic swarms) to an intermediate accumulation zone (about 5 km during the pre-eruptive phase), and finally to the ascent towards the surface that led to the eruption (in the co-eruptive phase from 17 to 22 September 2021, with seismic crisis and opening of the eruptive fracture on the surface).

The pre-eruptive uplift, that, to the best of our knowledge, has never been described before in Cumbre Vieja, anticipated the eruption by 9 months. These results underline the fundamental role of ground deformation monitoring by satellite interferometry, a technique that was not available during the previous eruptions on La Palma. The ground uplift can be considered a proxy for the magma migration during the final phases of its ascent.

These results confirm that variations in deformation rate and acceleration, detected by InSAR, can act as quantitative and spatially resolved precursors to volcanic eruptions. The ability to detect these signals months in advance underscores the importance of continuous satellite monitoring to improve forecasting capabilities and risk mitigation strategies in volcanic regions and particularly in Cumbra Vieja, where InSAR data relative to previous eruptions were not available. Furthermore, the integration of InSAR-derived displacement data with seismic and geochemical observations improves our understanding of pre-eruptive dynamics and supports the development of comprehensive early warning systems.

This experience emphasizes the importance of conducting a thorough investigation to characterize the state of unrest of Cumbra Vieja and to better understand possible precursors and pinpoint the time of eruption.

Since the 2021 eruption has been the first one for which InSAR data were available, possible future eruptions are needed to verify that vertical ground displacement can be used as an eruptive precursor and that the association with seismic activity and magma ascent is consistent.