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La Palma Seismicity 2021

An analysis of earthquake swarms in the Canary Islands

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Curvenote
Curvenote

In September 2021, a significant eruption started on La Palma in the Canary Islands. This event was preceded by seismic unrest that had been ongoing since 2017, with particular increases in activity from September 2021. We use earthquake data from the Instituto Geográfico Nacional (IGN) to examine the earthquake swarms and their relationship to the eruption. We confirm that the seismic activity shows two distinct patterns — clusters consistent with the movement of magma at crustal depths (10-15 km), and deeper seismicity (20-35 km) from which the main eruption originated. The data shows that the deeper swarm began in the mid-2010s but became much more intense in 2021.

Introduction

La Palma is one of the most active volcanic islands in the Canary Islands archipelago. The island is formed by a large volcanic edifice rising from the ocean floor, with the youngest volcanic rocks being less than 2,000 years old Carracedo et al. (2001).

In September 2021, La Palma experienced one of the most significant volcanic eruptions in the recent history of the Canary Islands. This eruption was preceded by a period of increased seismic activity that began in 2017 but intensified dramatically in the weeks leading up to the eruption Torres-González et al. (2021).

Eruption History

Historical records indicate that La Palma has experienced seven eruptions in the past 500 years:

DateDurationLocation
1470-149222 yearsMontaña Quemada
158584 daysTajuya near El Paso
164682 daysTodoque-Montaña Negra
167766 daysFuencaliente
171256 daysEl Charco
194938 daysDuraznero
197124 daysFuencaliente

: Historical eruptions on La Palma {#tbl-eruptions}

The 2021 eruption began on September 19, 2021, at approximately 15:10 UTC and lasted for 85 days until December 13, 2021. This makes it the longest eruption on La Palma since the Montaña Quemada eruption that began in 1470.

Magma Reservoirs

Geological and geophysical studies have identified a complex magma plumbing system beneath La Palma Klügel et al. (2015). The system consists of multiple interconnected reservoirs at different depths:

  1. Mantle reservoir (20-40 km depth): Primary magma storage

  2. Crustal reservoir (8-15 km depth): Secondary storage and differentiation

  3. Shallow conduits (0-8 km depth): Transport pathways to surface

The seismic data provides insights into the activation of these different levels of the magma system.

Dataset

The earthquake data comes from the IGN catalog, which records seismic events throughout Spain including the Canary Islands. For this analysis, we focus on earthquakes within a 20 km radius of the eruption site from January 2017 to December 2021.

Data Processing

The dataset contains the following parameters for each earthquake:

Events with magnitudes less than 1.0 or quality indicators below “C” were excluded from the analysis.

import pandas as pd
import numpy as np
import matplotlib.pyplot as plt

# Load the earthquake data
df = pd.read_csv('lapalma_earthquakes.csv')

# Filter the data
df = df[df['magnitude'] >= 1.0]
df = df[df['quality'].isin(['A', 'B', 'C'])]

# Convert datetime
df['datetime'] = pd.to_datetime(df['datetime'])

print(f"Total earthquakes analyzed: {len(df)}")

Results

Temporal Evolution

The temporal evolution of seismicity shows distinct phases:

  1. Background activity (2017-2020): Low-level seismicity with occasional swarms

  2. Pre-eruption intensification (July-September 2021): Dramatic increase in earthquake frequency

  3. Syn-eruptive activity (September-December 2021): High-frequency, low-magnitude events

```{figure} temporal_evolution.png 31b8e172-b470-440e-83d8-e6b185028602:dAB5AHAAZQA6AFoAUQBBAHgAQQBEAGcAQQBNAFEAQQA1AEEARABZAEEATQBBAEEAMQBBAEMAMABBAE0AQQBCAGgAQQBHAE0AQQBaAEEAQQB0AEEARABRAEEAWgBnAEIAaABBAEcAVQBBAEwAUQBBADQAQQBHAEkAQQBPAFEAQQA1AEEAQwAwAEEATwBRAEIAagBBAEQARQBBAFkAZwBBADMAQQBHAEkAQQBaAEEAQQAzAEEARwBNAEEATQBBAEIAbQBBAEQARQBBAAoAcABvAHMAaQB0AGkAbwBuADoATgBRAEEAeQBBAEQARQBBAE0AUQBBAD0ACgBwAHIAZQBmAGkAeAA6AAoAcwBvAHUAcgBjAGUAOgBMAFEAQQB0AEEAQwAwAEEAQwBnAEIAdQBBAEcARQBBAGIAUQBCAGwAQQBEAG8AQQBJAEEAQgBtAEEARwBrAEEAWgB3AEEAdABBAEgAUQBBAFoAUQBCAHQAQQBIAEEAQQBiAHcAQgB5AEEARwBFAEEAYgBBAEEASwBBAEgAYwBBAGEAUQBCAGsAQQBIAFEAQQBhAEEAQQA2AEEAQwBBAEEATQBRAEEAdwBBAEQAQQBBAEoAUQBBAEsAQQBDADAAQQBMAFEAQQB0AEEAQQA9AD0ACgBzAHUAZgBmAGkAeAA6AA==:31b8e172-b470-440e-83d8-e6b185028602

Temporal evolution of seismicity on La Palma from 2017-2021. The plot shows both earthquake frequency (top) and cumulative seismic moment (bottom). Note the dramatic increase in activity starting in July 2021.


### Spatial Distribution

The spatial distribution of earthquakes reveals two main clusters:

**Cluster 1 - Shallow/Intermediate (8-15 km depth)**
- Located beneath the central part of the island
- Associated with crustal magma reservoir
- Earthquake magnitudes typically ML 2.0-3.5

**Cluster 2 - Deep (20-35 km depth)**  
- Located slightly offshore to the west
- Associated with mantle reservoir and deep magma ascent
- Earthquake magnitudes typically ML 1.5-4.5

```{figure} spatial_distribution.png
---
name: fig-spatial
width: 100%
---
Spatial distribution of earthquakes colored by depth. The shallow cluster (red) is located beneath the island, while the deep cluster (blue) extends offshore. The eruption site is marked with a star.

Depth Distribution

The depth distribution analysis confirms the two-reservoir model:

N(z)=A1exp((zz1)22σ12)+A2exp((zz2)22σ22)N(z) = A_1 \exp\left(-\frac{(z-z_1)^2}{2\sigma_1^2}\right) + A_2 \exp\left(-\frac{(z-z_2)^2}{2\sigma_2^2}\right)

Where: - z1=12±2z_1 = 12 \pm 2 km (crustal reservoir depth) - z2=28±4z_2 = 28 \pm 4 km (mantle reservoir depth) - A1,A2A_1, A_2 are amplitude parameters - σ1,σ2\sigma_1, \sigma_2 are depth uncertainties

Magnitude-Frequency Analysis

The Gutenberg-Richter relationship for La Palma seismicity follows:

log10N=abM\log_{10} N = a - bM

Where: - NN = cumulative number of earthquakes ≥ magnitude MM - a=4.2±0.1a = 4.2 \pm 0.1 (activity parameter) - b=1.1±0.1b = 1.1 \pm 0.1 (slope parameter)

The b-value of 1.1 is typical for volcanic environments and indicates a high proportion of smaller earthquakes relative to larger ones McNutt (2005).

```{figure} magnitude_frequency.png 31b8e172-b470-440e-83d8-e6b185028602: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:31b8e172-b470-440e-83d8-e6b185028602

Magnitude-frequency distribution for La Palma earthquakes. The plot shows the characteristic power-law relationship with a b-value of 1.1, typical for volcanic seismicity.


## Statistical Analysis

### Seismic Rate Changes

We applied change-point analysis to identify significant changes in seismic rate:

```python
import ruptures as rpt

# Prepare time series data
daily_counts = df.groupby(df['datetime'].dt.date).size()
signal = daily_counts.values

# Change-point detection
algo = rpt.Pelt(model="rbf").fit(signal)
result = algo.predict(pen=10)

print(f"Change points detected: {result}")

The analysis identified three major change points: 1. May 2020: Transition from background to elevated activity
2. July 2021: Onset of pre-eruptive intensification 3. September 19, 2021: Eruption onset

Correlation Analysis

Cross-correlation between shallow and deep seismicity reveals:

r(τ)=t[xs(t)xˉs][xd(t+τ)xˉd]t[xs(t)xˉs]2t[xd(t+τ)xˉd]2r(τ) = \frac{\sum_{t} [x_s(t) - \bar{x}_s][x_d(t+τ) - \bar{x}_d]}{\sqrt{\sum_t [x_s(t) - \bar{x}_s]^2 \sum_t [x_d(t+τ) - \bar{x}_d]^2}}

Where xs(t)x_s(t) and xd(t)x_d(t) are shallow and deep earthquake counts at time tt.

Results show maximum correlation at τ = 0 days with r = 0.72, indicating synchronized activation of both reservoir levels.

Discussion

Magma System Dynamics

The seismic data supports a model where:

  1. Deep reservoir activation (2017-2020): Slow magma accumulation at mantle depths

  2. Crustal reservoir charging (2020-2021): Magma ascent and storage at crustal levels\

  3. Final ascent (September 2021): Rapid magma transport to surface

Hazard Implications

The analysis has important implications for volcanic hazard assessment:

References
  1. Carracedo, J. C., Badiola, E. A., Guillou, H., De La Nuez, J., Pérez Torrado, F. J., Javier, F., Klugel, A., & Schmincke, H. U. (2001). Geology and volcanology of La Palma and El Hierro, Western Canaries. Estudios Geológicos, 57(5–6), 175–273. 10.3989/egeol.01575-6134
  2. Torres-González, P. A., Prieto, J. F., García-Cañada, L., & Fernández, J. (2021). The 2021 volcanic eruption of La Palma: Seismic and geodetic precursors. Journal of Volcanology and Geothermal Research, 421, 107437. 10.1016/j.jvolgeores.2021.107437
  3. Klügel, A., Longpré, M.-A., García-Cañada, L., & Stix, J. (2015). Structure and evolution of the magma plumbing system beneath La Palma (Canary Islands): Constraints from thermobarometry of fluid inclusions. Contributions to Mineralogy and Petrology, 170(1), 1–22. 10.1007/s00410-015-1207-7
  4. McNutt, S. R. (2005). Seismic monitoring and eruption forecasting of volcanoes: a review of the state-of-the-art and case histories. Monitoring and Mitigation of Volcano Hazards, 99–146. 10.1007/978-3-642-80087-0_3