![Study domain
Blue cells are rasterized coral reef cells derived from the UNEP World Conservation Monitoring Center (UNEP-WCMC) coral reef database [48]. Green cells are land-masked cells based on the Global HYCOM [49] and gray lines refer to the coast line.](https://www.researchgate.net/profile/Patrick-Pata/publication/334638845/figure/fig1/AS:11431281272676282@1724193732144/Study-domain-Blue-cells-are-rasterized-coral-reef-cells-derived-from-the-UNEP-World_Q320.jpg)
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RESEARCH ARTICLE
Larval connectivity patterns of the North Indo-
West Pacific coral reefs
Patrick R. PataID
¤a¤b
*, Aletta T. Yñiguez
Marine Science Institute, University of the Philippines Diliman, Quezon City, Philippines
¤a Current address: Institute for the Oceans and Fisheries, University of British Columbia, Vancouver, British
Columbia, Canada
¤b Current address: Department of Earth, Ocean, and Atmospheric Sciences, University of British Columbia,
Vancouver, British Columbia, Canada
*p.pata@oceans.ubc.ca
Abstract
Coral reefs of the North Indo-West Pacific provide important ecosystem services to the
region but are subjected to multiple local and global threats. Strengthening management
measures necessitate understanding the variability of larval connectivity and bridging global
connectivity models to local scales. An individual-based Lagrangian biophysical model was
used to simulate connectivity between coral reefs for three organisms with different early life
history characteristics: a coral (Acropora millepora), a sea urchin (Tripneustes gratilla), and
a reef fish (Epinephelus sp). Connectivity metrics and reef clusters were computed from the
settlement probability matrices. Fitted power law functions derived from the dispersal ker-
nels provided relative probabilities of connection given only the distance between reefs, and
demonstrated that 95% of the larvae across organisms settled within a third of their maxi-
mum settlement distances. The magnitude of the connectivity metric values of reef cells
were sensitive to differences both in the type of organism and temporal variability. Seasonal
variability of connections was more dominant than interannual variability. However, despite
these differences, the moderate to high correlation of metrics between organisms and
seasonal matrices suggest that the spatial patterns are relatively similar between reefs.
A cluster analysis based on the Bray-Curtis Dissimilarity of sink and source connections
synthesized the inherent variability of these multiple large connectivity matrices. Through
this, similarities in regional connectivity patterns were determined at various cluster sizes
depending on the scale of interest. The validity of the model is supported by 1) the simulated
dispersal kernels being within the range of reported parentage analysis estimates; and, 2)
the clusters that emerged reflect the dispersal barriers implied by previously published popu-
lation genetics studies. The tools presented here (dispersal kernels, temporal variability
maps and reef clustering) can be used to include regional patterns of connectivity into the
spatial management of coral reefs.
PLOS ONE | https://doi.org/10.1371/journal.pone.0219913 July 23, 2019 1 / 25
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OPEN ACCESS
Citation: Pata PR, Yñiguez AT (2019) Larval
connectivity patterns of the North Indo-West
Pacific coral reefs. PLoS ONE 14(7): e0219913.
https://doi.org/10.1371/journal.pone.0219913
Editor: Fraser Andrew Januchowski-Hartley,
Swansea University, UNITED KINGDOM
Received: December 1, 2018
Accepted: July 3, 2019
Published: July 23, 2019
Copyright: ©2019 Pata, Yñiguez. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: The data on the
connectivity matrices, coral reef polygons, and reef
clusters are available at https://doi.org/10.5281/
zenodo.3236591.
Funding: PRP received an MSc scholarship for the
period of January 2016 to June 2017 through the
Capturing Coral Reef and Related Ecosystem
Services (CCRES) project (www.ccres.net), funded
by the Global Environment Facility, the World Bank
and The University of Queensland. Additional
funding was provided by the Office of the Vice
Chancellor for Research and Development Outright
Research Grant for the Project entitled "Assessing
Introduction
The North Indo-West Pacific (NIWP) is an archipelagic region composed of several marginal
seas, narrow straits, and shallow bays that host the highest levels of biodiversity and a signifi-
cant portion of the global coral reef area [1,2]. These coral reefs provide various ecosystem ser-
vices including reef fisheries, tourism, shoreline protection, and natural products[3,4]. Though
heavily tied to the cultural consciousness and the economic development of the region, most
coral reefs are highly threatened by overfishing, destructive fishing, siltation, pollution, crown-
of-thorns sea star infestation, coral diseases, thermal stress, and ocean acidification [3,5,6],
leading to diminishing coral cover by 1–2% per year in the Indo-Pacific [7]. Various manage-
ment efforts including watershed management, fisheries regulation, reef restoration, marine
protected areas, no-take reserves, and integrated coastal management could mitigate current
damages and ensure the resilience of coral reef ecosystems in the region [8,9]. However, the
global area of protected marine habitats is still far from conservation targets [10,11]. The
expansion of management measures to meet conservation goals necessitates that decisions in
identifying priority areas for protection should be science-based [12,13]. Larval connectivity is
not often included as a criterion [12,14–16] among the multiple ecosystem features utilized to
determine which areas should ideally be protected [8,17].
Larval connectivity, henceforth referred to as connectivity, is the exchange of individuals
between populations which results from processes involving larval production, transport by
currents, larval behaviors, and post-settlement conditions. Population growth, regulation, and
recovery from disturbances is dependent on the supply of larvae including both self-recruit-
ment and immigration from other reefs [18–22]. Larval dispersal modeling has been widely
used as a practical method to understand connectivity at broad spatial and temporal scales for
a large range of organisms [23,24]. Combining the biology and physical environment in mod-
els is a powerful tool to accommodate the complex interaction of factors that drives variability
in population connectivity [25]. Although modelling cannot provide the certainty of empirical
methods, proper model design and parameterization can be sufficient as a best-guess approach
to complement information from empirical studies [24] and provide insights into influential
factors that should be further investigated.
Connectivity has been found to have high spatiotemporal variability due to a variety of
physical and biological factors [18–21,26,27]. Connectivity models which included the NIWP
or parts of it have provided insights into the relevant factors of the area, as well as on how its
reefs contribute to regional connectivity in the Indo-West Pacific (IWP). Treml et al. [28]
highlighted the role of biological characteristics such as reproductive output, reproductive tim-
ing and pelagic larval duration in determining dispersal patterns. For Melbourne-Thomas
et al. [29], connectivity patterns were broadly similar for reefs in the South China Sea (SCS)
side of the Philippines across a range of larval behavior and mortality rates, although the influ-
ence of variability due to the spawning period was noted. Seasonal changes and their interac-
tion with the spawning period of the coral Acropora millepora was also the source of variability
in connectivity patterns for the SCS [30]. The reefs of the Coral Triangle also exhibit relatively
high levels of connectivity due to circulation and geographic features [28,31].
The variability in connectivity patterns in the highly diverse and complex area of the NIWP
need to be better understood to gain a more detailed picture of between-basin and within-
basin larval transport. This would contribute to possible management strategies from the
regional NIWP scale to the level of local natural parks and community-based marine protected
areas (MPAs). Given that different organisms may produce different connectivity patterns, the
management of coral reef ecosystems should consider multiple species towards a metacommu-
nity approach to connectivity [32]. Thus, synthesizing information from a range of organisms
Larval connectivity patterns of the NIWP coral reefs
PLOS ONE | https://doi.org/10.1371/journal.pone.0219913 July 23, 2019 2 / 25
coral reef condition and connections for MPA
network development” under the Program
“Enhancing coral reef management through tools
assessing coral reef conditions and connections.”
The funders had no role in study design, data
collection and analysis, decision to publish, or
preparation of the manuscript.
Competing interests: The authors have declared
that no competing interests exist.
would result in a more holistic characterization of connectivity [33,34]. This integration can be
derived by analyzing the resulting patterns from biophysical connectivity models.
This study provides a mesoscale analysis of connectivity variability in the NIWP that could
be considered in marine resource conservation and management decisions at both regional
and more local scales. In particular, we aimed to (1) characterize how connectivity in the
NIWP varies between three functionally different coral reef organisms representing a range of
early life history conditions, (2) assess the sensitivity of the results to possible seasonal and
interannual circulation variabilities, and (3) present a way to identify reef clusters which could
serve as management units that integrate the connectivity features based on between-reef simi-
larities in sources and sinks across the three model organisms.
Methodology
The connectivity model simulating larval dispersal was written in Java, utilizing the MASON
simulation toolkit [35]. The model’s overview, design concept, and details [36] are specified in
S1 Appendix. Simulations were made for three model organisms spanning a range of potential
spawning periods: a branching reef-building coral Acropora millepora, a reef-associated key-
stone herbivore sea urchin Tripneustes gratilla, and a predatory coral trout Epinephelus sp.
These organisms were chosen for their key ecological roles in the reef ecosystem and for their
economic value in the NIWP. The temporal span of the study covered three representative
years to capture interannual variations of circulation [28] likely due to the El Niño Southern
Oscillation (ENSO) cycle [37–40]. Simulation years included 2011 (La Niña), 2013 (normal),
and 2015 (El Niño).
Study domain
This study covered all coral reef areas (Fig 1) of the NIWP region (0˚–24˚N, 99˚–128˚ E),
including the reefs of Vietnam, Cambodia, Southern China, the Gulf of Thailand, Philippines,
Northern Sulawesi, and Northern Malaysia. The modelling domain was set to reduce the loss
of potential settling larvae at model boundaries [41]. The southern, western, and northern
edges of the study domain were mostly land boundaries outlining the coasts of Southern
China and Southeast Asia. Transport of larvae across the water boundaries towards the
domain were assumed to be limited given the general direction of water flux across the Taiwan
Strait [42,43], Singapore Strait [44], Karimata Strait [45], Makassar Strait, and the Maluku Sea
[46]. Through these pathways, the NIWP was modelled to generally act as a source of larvae to
other biogeographic regions [31,47]. The eastern open water boundary was the western edge
of the Pacific. Transport of modelled larvae from the Philippines eastward was barred by the
dominant westward flowing North Equatorial Current (NEC) and the boundary currents
which bifurcate from the NEC [37], preventing the IWP from directly transporting particles
to the central Pacific [47]. Although importation of larvae from Pacific reefs may occur, it is
assumed to be negligible in this study.
Model inputs
The hydrodynamic input used was the surface circulation of daily global Hybrid Coordinate
Ocean Model (HYCOM) [49,50] + Navy Coupled Ocean Data Assimilation (NCODA) Global
1/12˚ Analysis GLBa0.08 output. The global HYCOM has been assessed in Chassignet et al.
[50] based on the regional circulation of the North Atlantic. The global HYCOM 18.2 experi-
ment covering circulation from 2003 to 2010 of the Sulu Sea and the Philippine internal seas
has been validated in Hurlburt et al. [38]. The GLBa0.08 dataset used has a Mercator-curvilin-
ear horizontal grid format with a resolution of around 0.08˚ and this was the basis for the
Larval connectivity patterns of the NIWP coral reefs
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gridding of the individual-based model. Land masking was also based on the hydrodynamic
data in which cells with numerical values were ocean and land, if otherwise. The resolution
was unable to capture some straits because of poor land masking (e.g., Tañon Strait, 10.4˚N
123.5˚E; Guimaras Strait, 10.8˚N 122.8˚E) and thus the reefs for these areas were not included
in the analysis.
Coral reef locations were identified based on the UNEP World Conservation Monitoring
Center (UNEP-WCMC) coral reef database [48]. Individual reef vectors were merged and ras-
terized into reef cells using QGIS 2.8.1 to fit the model grid. Some coastal reefs, and reefs
within small embayments and straits were masked as land cells because of the limited resolu-
tion of the hydrodynamic model. Wherever this was the case, the adjacent non-reef cell was
converted to a reef cell to at least estimate connectivity of that general area. This resulted in
3,776 reef cells. Reproductive output likely varies significantly between reef cells and spawning
periods, but the absolute values for the area are not known. This study assumed that all reef
cells have equal degrees of larval productivity which was necessary to compute the relative
probability of settlement.
Various biological factors affect larval dispersal, but the most influential ones considered in
this study (Table 1) were mortality rate, pelagic larval duration (PLD) [41], pre-competency
period [25], and swimming capability [41,51,52]. These were parameterized based on the avail-
able information gathered from the NIWP. The broadcast spawning coral A.millepora was
regarded as a short-distance spawner. Both T.gratilla and Epinephelus sp. were considered
Fig 1. Study domain. Blue cells are rasterized coral reef cells derived from the UNEP World Conservation Monitoring Center
(UNEP-WCMC) coral reef database [48]. Green cells are land-masked cells based on the Global HYCOM [49] and gray lines refer to
the coast line.
https://doi.org/10.1371/journal.pone.0219913.g001
Larval connectivity patterns of the NIWP coral reefs
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long-distance spawners and were simulated to produce passively dispersing and actively swim-
ming larvae, respectively. Acropora millepora was observed to spawn during the summer
months in the Philippines [53] while T.gratilla spawns year-round [54]. Epinephelus sp. may
also spawn during different periods of the year, but has peak spawning during the summer
months [55]. This study analyzed the results according to four seasons based on the monsoons:
northeast monsoon for December, January, and February (DJF), summer for March, April,
and May (MAM), southwest monsoon for June, July, and August (JJA), and the transition
months of September, October, and November (SON).
Individual-based model
Circulation data and reef GIS data were assimilated into a Lagrangian particle-tracking model
at a spatial resolution of 0.08˚ by 0.08˚ with a model time step interval set to 2,700 seconds
based on Kough et al. [59] which used a similar model resolution. This also met the Courant-
Friedrich-Lewy condition [41] while not debilitating computation time [18]. Larvae were sim-
ulated as particles transported across the model space until the event of settlement. The model
was initiated at a high frequency of every five days and daily matrices were averaged per sea-
son. One hundred, 250 and 450 larvae were simulated and positioned randomly in each cell
for A.millepora,T.gratilla, and Epinephelus sp., respectively. Based on a calibration exercise
(S2 Appendix), these values for spawning dates and number of modelled larvae would not sig-
nificantly vary the resulting connectivity matrix [26]. These were also similar to Holstein et al.
[33] with a comparable set of PLD parameters.
Once spawned, larvae were continually subjected to transport by advection, diffusion, and
swimming during each model time step. Advection was based on the current vector at the par-
ticle’s location interpolated in space and time. The advection of larvae used a Runge-Kutta 4
th
order differential equation scheme which modelled particle transport more realistically, espe-
cially near land boundaries [41]. Diffusion was a random-walk equation that contributes a
transport vector orders of magnitude lower than the advection value. This accounted for sub-
grid scale processes and dispersions due to turbulence [60]. A horizontal swimming behavior
was applied to Epinephelus sp. larvae once reaching the flexion age of 20 days [61]. Each post-
flexion Epinephelus sp. larvae searched the adjacent grid cells relative to its current position. If
reef cells were detected, distances towards the adjacent reef cells were computed and swim-
ming was directed towards the nearest reef cell. The sustained swimming speed was computed
as 50% of the critical swimming speed [62]. The latter was derived from an age–swimming
speed function [63]. If no reef cell was detected, the swimming module was disabled for the
current time step. Once inside a reef cell, swimming was also disabled. This method in model-
ling larval swimming behavior was based on Wolanski and Kingsford [64]. The inclusion of
swimming behavior mediates the dispersal of Epinephelus sp., which has been suggested to
increase local retention [65,66].
Table 1. Early life history characteristics of model organisms. Empirical values were based on the representative organisms.
Model Organism Age of settlement competency (days) Maximum PLD (days) Mortality rate (day
-1
)�Swimming behavior
Acropora millepora 3 [56] 60 [56] 0.023 No
Tripneustes gratilla 29 [54] 57 [57] 0.024 No
Epinephelus sp. 36 [58] 47 [58] 0.029 Yes��
�derived from a half-life equation [44,56]
�� sustained swimming speed was computed as 50% of the critical swimming speed which is a function of age
https://doi.org/10.1371/journal.pone.0219913.t001
Larval connectivity patterns of the NIWP coral reefs
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Although passive and active vertical transport are certainly relevant in the dispersal of larvae
[65,67], this study only utilized the surface circulation in part for the purpose of simplifying
model computation and because of the lack of necessary biological information to parameter-
ize this process. Since excluding vertical migration probably leads to an overestimation of
modelled dispersal distance [68], the model output provides an upper limit on the range of
potential connectivity patterns [69]. When a larva encountered a land boundary, it was mod-
elled to return to the ocean cell to remain within the model. Upon leaving the model bound-
aries, the larva was removed from the simulation.
Larval mortality was computed at the end of each model day by randomly drawing a value
from 0 to 1 for each larva. If this was below or equal to the mortality rate of the organism
(Table 1), the larva was considered dead and removed from the simulation. Upon reaching the
maximum PLD and if it is not on a suitable habitat, the larva was also considered dead and
removed from the simulation. Once the larva reached the age of settlement competency
(Table 1) and was located on a reef cell, settlement could have occurred at a 50% probability
similar to Dorman et al. [30]. This attempted to simulate competent larvae passing by a reef
cell and not settling on it. Resulting matrices, however, were not sensitive to the value of the
settlement probability (Figure B8 in S2 Appendix). A reef cell where each larva settled on was
considered as the sink cell. The model continued to run until the PLD value. Past this, all larvae
which have not yet settled were assumed to have died. The output file recorded the source reef
IDs, sink reef IDs, and the number of larvae simulated to form each connection.
Metrics of connectivity patterns
The model outputs were recorded as raw connectivity matrices of the total number of simu-
lated larvae that settled from a source site (i) to a sink site (j) for each simulation. The rows of
the matrix constituted the sources while the columns constituted the sinks. The raw connectiv-
ity matrix was then converted into a settlement probability matrix according to:
Psetði;jÞ¼Ni!j
Ni
;ð1Þ
in which P
set(i,j)
was the settlement probability representing the proportion of larvae exported
from a source ito a sink jrelative to the number of larvae released from the source. A total of
36 matrices were generated in this study based on 3 organisms, 4 seasons, and 3 years.
The dispersal kernels for each organism were determined through curve-fitting in
MATLAB [70] to provide estimates of the settlement probability given only the distance
between reefs. The mean settlement probability of all connections of each source-to-sink 1 km
distance bins were used as inputs to explore different curve-fitting functions. For the dispersal
kernel computation and to compare the metrics between organisms, the summer matrices
were used for A.millepora while all four seasonal matrices were used for T.gratilla and Epine-
phelus sp. to reflect the range of known spawning periods of these organisms.
Seven connectivity metrics were used to analyze connectivity patterns: local retention,
export and import probabilities, out- and in-degrees, and the average export and import dis-
tances. The diagonal of the matrix, P
set(i,i)
, was a measure of local retention [21] or the propor-
tion of larvae that was retained or has returned to its natal reef, relative to how many larvae
were released from the source. The horizontal sum of the matrix minus local retention was the
total export probability of each source, representing the proportion of larvae that settled to
other reefs relative to how many larvae were released from the source. The vertical sum of the
matrix minus local retention was the estimate of import probability of the sink, representing
the likelihood that a reef would receive larvae from other reefs. We also computed the number
Larval connectivity patterns of the NIWP coral reefs
PLOS ONE | https://doi.org/10.1371/journal.pone.0219913 July 23, 2019 6 / 25
of unique external connections formed by each reef as either a source or a sink. The out-degree
is the number of unique sinks of each source while the in-degree is the number of unique
sources of each sink. The mean distances of exports or imports of each reef were the weighted
averages of all source-to-sink or sink-to-source Euclidian distances, similar to Wren et al. [71],
in which the weights were based on the settlement probabilities.
The mean direction of exports was also computed for temporal analysis. This was based on
the mean Euclidean source-to-sink directions weighted by the settlement probabilities. For
this, only long-distance connections beyond 13 km (i.e., more than 1 grid cell away) were con-
sidered in the averaging to remove local retention and adjacent-cell connections.
Comparison of metrics
The Kruskal-Wallis one-way analysis of variance and the post-hoc Dunn’s test were used to
compare the distributions of connectivity metrics testing for significant differences in the dis-
tribution between model organisms and between seasonal matrices. Pearson correlation coeffi-
cient was used to explore the relationships of connectivity metrics between model organisms
and between seasonal matrices.
Circular analysis was employed to compare the distributions of the mean direction of
exports of each reef cell between seasons and years for each organism. A multi-sample test
for equal median directions, a circular analogue of the Kruskal-Wallis test [72], was used to
compare temporal directionality between distributions. The temporal variability of the mean
direction of exports of each reef cell was computed separately for seasonal and interannual var-
iability. For each organism and year, the standard deviation was computed across seasons and
then averaged (N = 9) to derive the seasonal variability. Likewise, it was computed for each
organism and season and then averaged (N = 12) to derive the interannual variability. All sta-
tistical analyses were done using MATLAB.
Synthesizing spatiotemporal connectivity patterns
The settlement probability matrices were subjected to agglomerative cluster analysis to explore
possible clusters of reefs which covary in connectivity patterns based on similarities of the
sources and sinks of each reef cell. The distance metric of the cluster analysis was based on the
Bray-Curtis dissimilarity (BCD) equation [73] in which each source and sink connection of a
reef cell across a set of matrices was considered a “species.” Thus, the BCD between cells iand j
was:
BCDij ¼12Cij
SiþSj
;ð2Þ
wherein C
ij
was the sum of the smaller magnitudes of connections shared between both cells,
and Swas the sum of all connections in each cell. A BCD
ij
value close to zero meant that reef
cells had similar connections and variability across the matrices used in the analysis while a
value close to one meant that cells had dissimilar connections. The BCD matrix used here was
based on the known spawning periods of each organism (summer matrix for A.millepora and
the annually-averaged matrix for T.gratilla and Epinephelus sp.) to reflect how managing coral
reef ecosystems could cut across multiple key organisms.
The resulting BCD matrix was subjected to a dynamic tree cut algorithm implemented in
the R programming language [74] using default parameter values and different minimum clus-
ter sizes to illustrate possible scales of management. The minimum cluster size (MCS) parame-
ter represents how similar reefs should be to form a cluster [74]; lower values require more
similarity. The dynamic tree cut algorithm was used since it can handle complex dendrograms
Larval connectivity patterns of the NIWP coral reefs
PLOS ONE | https://doi.org/10.1371/journal.pone.0219913 July 23, 2019 7 / 25
with possible nested clusters and it allowed for very high dissimilarity branches to be
unclustered.
Results
Between-organism differences in dispersal kernels and connectivity metrics
Fitted power law functions for the dispersal kernels provided the highest coefficient of deter-
mination and the lowest mean standard error (Fig 2). These dispersal kernels demonstrated
that closer connections had higher probabilities which then tapered off with distance. For all
model organisms, 95% of larvae settled to a third of the maximum settlement distance. Half of
the A.millepora larvae settled within 18.5 km or around two model cells away and most settled
less than 171 km from their natal reefs. Tripneustes gratilla and Epinephelus sp. had similar set-
tlement distances despite the latter having a longer larval duration. Relative to the median, the
settlement probability at the 95
th
percentile was more than half and the probabilities at the far-
thest settlement distances were an order of magnitude lower for all organisms.
The best fit of power law equations was the mid-range from the median to the 95
th
percen-
tile; beyond which, there were spikes of higher export probabilities at distances of around 800
km and 1,300 km (Fig 2). The 800-km connections mostly represented cross-basin transport
around the Celebes Sea, connections of offshore reefs around the South China Sea, and direct
links from the Surigao Strait to eastern Borneo and from Samar and northeastern Luzon to
Taiwan. The 1,300-km connections were larval transport between reefs of southern Vietnam
with reefs at Mindoro Island and northwestern Luzon and direct transports from eastern
Samar to the Makassar Strait.
Comparing the distributions of the connectivity metrics of each reef cell (N = 3,776) using
Kruskal-Wallis one-way analysis of variance showed that distributions of all metrics (Fig 3)
were significantly different (p-values <0.001) between organisms. Post-hoc Dunn’s test
showed that all pairs were also significantly different (Table A in S3 Appendix) except for
mean distance of export and imports between T.gratilla and Epinephelus sp. The values for
local retention, export probability and import probability decreased with increasing age of set-
tlement competency (A.millepora >T.gratilla >Epinephelus sp). On the contrary, A.mille-
pora scored lowest in terms of the range of external connections for out-degree, in-degree,
mean distance of export, and mean distance of imports. Tripneustes gratilla and Epinephelus
sp. performed similarly for these metrics. Most of the between-organism pairs for all metrics
were highly correlated (Table 2) except for the moderately correlated (r <0.50) A.millepora
versus Epinephelus sp. value for import probability. The values for T.gratilla and Epinephelus
sp. were more correlated with each other compared with A.millepora.
Temporal variability in connectivity patterns
The seasonal matrices for each organism were significantly different for all metrics (p-
values <0.001) (Figure A in S4 Appendix) although not all between-season pairs were signifi-
cantly different (Table B in S3 Appendix). Often, the SON and DJF matrices were similar for
some metrics and organisms and the MAM and JJA matrices had similar metric distributions
for A.millepora. Comparing the annual and seasonal connectivity matrices, the metrics
derived from the annually-averaged matrices of each model organism were highly correlated
with the metrics from the seasonal matrices (Table 3). The southwest monsoon (JJA) matrices
were most dissimilar with the annual average, but still had a high correlation coefficient. The
summer matrices (MAM) were most correlated with the annual average. The values for each
of the different connectivity metrics were generally correlated between seasonal matrices for
all model organisms but with some exceptions. Both T.gratilla and Epinephelus sp. had
Larval connectivity patterns of the NIWP coral reefs
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Fig 2. Fitted power law functions from dispersal kernels of each model organism. Dark gray dots are the mean
settlement probability (P
set
) of each source-to-sink distance (dist) with gray areas showing the standard deviation. Note
that the axes are in log scale and the limits of the y-axis varies. Verticals lines show the distance of connections at the
median (dotted) and at 95
th
percentile (dashed) of connections.
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Larval connectivity patterns of the NIWP coral reefs
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Fig 3. Comparison of connectivity metric distributions between organisms. All distributions were significantly different
(p <0.001). Am: Acropora millepora, Tg: Tripneustes gratilla, E: Epinephelus sp. Boxes display the first and third quartile spread of
the data, the central line indicates the median, and the whiskers and outliers denote the range of values.
https://doi.org/10.1371/journal.pone.0219913.g003
Table 2. Pearson correlation coefficients of the connectivity metric of each reef cell between model organisms. All correlations were significant (p-values <0.001).
Connectivity Metric Acropora millepora vs Tripneustes gratilla Acropora millepora vs Epinephelus sp. Tripneustes gratilla vs Epinephelus sp.
Local Retention 0.796 0.723 0.961
Export Probability 0.554 0.566 0.886
Import Probability 0.520 0.458 0.883
Out-degree 0.752 0.739 0.985
In-degree 0.838 0.748 0.942
Mean distance exports 0.711 0.695 0.940
Mean distance imports 0.690 0.646 0.9242
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Larval connectivity patterns of the NIWP coral reefs
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relatively lower correlation coefficient values between seasons compared to those of A.mille-
pora. The most salient seasonal differences were import probability and in-degree of both T.
gratilla and Epinephelus sp. which were only weakly to moderately correlated between JJA vs
DJF and JJA vs SON.
Temporal differences of the distributions of the mean direction of exports at each reef for
each organism were found to be significantly different between seasons and between years
(Figures B-D in S4 Appendix). During the transition months until the northeast monsoon
(DJF), connections were mostly westward with eastward settlement limited to a few source
reef cells. This is reversed during the southwest monsoon when connections were dominantly
eastward. During the summer months, the connections were more spread out to other direc-
tions, but the highest distributions were still westward. Between years, seasonal connections
Table 3. Pearson correlation coefficients of the connectivity metric values of each reef cell between different temporal matrices for each model organism. All corre-
lations were significant (p-values <0.001).
Local Retention Export Probability Import Probability Out-Degree In-Degree Mean Distance Exports Mean Distance Imports
Acropora millepora
DJF vs. MAM 0.921 0.876 0.671 0.857 0.829 0.704 0.749
DJF vs. JJA 0.800 0.685 0.311 0.664 0.593 0.437 0.606
DJF vs. SON 0.949 0.921 0.814 0.918 0.928 0.812 0.900
MAM vs. JJA 0.894 0.841 0.610 0.792 0.742 0.724 0.720
MAM vs. SON 0.939 0.892 0.715 0.861 0.794 0.704 0.726
JJA vs. SON 0.874 0.782 0.526 0.740 0.678 0.575 0.646
Annual vs. DJF 0.956 0.932 0.836 0.905 0.920 0.848 0.917
Annual vs. MAM 0.978 0.964 0.883 0.938 0.924 0.871 0.869
Annual vs. JJA 0.928 0.883 0.729 0.866 0.804 0.771 0.807
Annual vs. SON 0.979 0.961 0.912 0.929 0.917 0.898 0.926
Tripneustes gratilla
DJF vs. MAM 0.807 0.800 0.627 0.864 0.706 0.702 0.732
DJF vs. JJA 0.455 0.440 0.093 0.670 0.335 0.424 0.610
DJF vs. SON 0.911 0.918 0.455 0.440 0.093 0.876 0.864
MAM vs. JJA 0.758 0.767 0.490 0.829 0.635 0.726 0.713
MAM vs. SON 0.846 0.840 0.650 0.832 0.665 0.753 0.710
JJA vs. SON 0.568 0.536 0.198 0.640 0.400 0.545 0.576
Annual vs. DJF 0.892 0.893 0.830 0.880 0.810 0.830 0.883
Annual vs. MAM 0.957 0.957 0.867 0.961 0.888 0.902 0.868
Annual vs. JJA 0.779 0.771 0.572 0.894 0.747 0.780 0.790
Annual vs. SON 0.934 0.930 0.868 0.855 0.804 0.891 0.869
Epinephelus sp.
DJF vs. MAM 0.747 0.706 0.561 0.815 0.643 0.67 0.661
DJF vs. JJA 0.373 0.288 0.08 0.636 0.324 0.433 0.606
DJF vs. SON 0.76 0.773 0.675 0.856 0.814 0.77 0.756
MAM vs. JJA 0.739 0.723 0.501 0.864 0.693 0.766 0.723
MAM vs. SON 0.875 0.864 0.719 0.918 0.731 0.813 0.736
JJA vs. SON 0.707 0.649 0.419 0.861 0.615 0.723 0.699
Annual vs. DJF 0.824 0.795 0.759 0.864 0.784 0.797 0.855
Annual vs. MAM 0.953 0.947 0.866 0.942 0.862 0.903 0.845
Annual vs. JJA 0.799 0.779 0.635 0.905 0.78 0.83 0.807
Annual vs. SON 0.946 0.944 0.884 0.959 0.888 0.929 0.887
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Larval connectivity patterns of the NIWP coral reefs
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maintained their general directional pattern with the mean direction vector of each distribu-
tion shifted by a few degrees.
Seasonal variability (Fig 4A) was generally higher at areas of distinct current reversals
including the Karimata Strait, offshore reefs around the South China Sea, the Vietnamese
coast, southwestern Luzon, Sangihe Islands, and most reefs around the Sulu Sea. Seasonal vari-
ability was also high for more restricted areas like the internal seas of the Philippines and the
Gulf of Thailand. Connection directions were more consistent across seasons for reefs at the
eastern Luzon and eastern Mindanao coasts. Interannual variabilities (Fig 4B) were lower than
seasonal variabilities. Areas which had relatively higher interannual variability were eastern
Samar, northwestern Lamon Bay (14.5˚N 121.8˚E), Dinagat Sound (9.8˚N 125.8˚E), northern
Celebes Sea, Sangihe Islands and northeastern Sulawesi, and the central Spratly Islands
(10.9˚N 116.8˚E).
Clusters of reefs with covarying connectivity patterns
The dendrogram based on connectivity could be cut at different levels through the MCS
parameter of the dynamic tree cut algorithm depending on the possible spatial scale of interest
or management. As the number of clusters increased resulting from decreasing MCS values,
the range in cluster sizes (number of reef cells per cluster) decreased and fewer cells were
excluded from clustering (Table 4). The cluster analysis organically resulted in clusters charac-
terized by geographic location and circulation features even if these were not included as part
of the clustering criteria. The largest cluster which emerged at MCS = 160 was a singular clus-
ter (Figure A in S5 Appendix) composed of the reefs of Vietnam, the Paracel Islands, Spratly
Islands, northwestern Borneo, the west Philippine Sea, and Sulu Sea. These reefs were most
similar regionally in terms of having high interconnectivity, are general larval sources to the
southern South China Sea and the Celebes Sea, and serve as larval sinks for the eastern and
internal seas of the Philippines.
A total of 13 clusters emerged at MCS = 100 (Fig 5A). The Northern Luzon and Taiwan
formed one cluster (cluster 1). This cluster was mainly a source of larvae to the northern South
China Sea as the Kuroshio intrudes through the Luzon Strait. The Philippine internal seas and
San Bernardino Strait formed a cluster of reefs (cluster 2) which were highly interconnected
but had relatively limited external connections. The Bohol Sea and Surigao Strait formed a
cluster (cluster 3) differentiating it as the main sink of larvae from the Pacific Ocean and a
source of larvae of the Sulu Sea. The Sulu Sea was subdivided into three clusters representing
the northern (4), central (5), and southern (6) portions. The northern cluster formed connec-
tions mostly with the northern South China Sea through the Mindoro Strait. The central clus-
ter was the primary sink of the Bohol Sea through the Dipolog Strait [75]. The southern cluster
composed of the Sulu Archipelago and northeastern Borneo were highly interconnected with
the southern South China Sea through the Balabac Strait and with the Celebes Sea. The Celebes
Sea cluster (cluster 7) consistent of reefs which were most influenced by the Mindanao current
and its associated eddies.
The South China Sea was subdivided into six clusters which differentiated near-coast reefs
from offshore reefs. The cluster composed of Vietnam and Paracel Islands (cluster 8)
highlighted the reefs which were strong larval sources during the southwest monsoon and con-
versely, the main larval sinks of the northern South China Sea and northeastern Luzon during
the northeast monsoon. The Western Luzon cluster (9) similarly was the sink of the Vietnam-
Paracel Island cluster during the southwest monsoon and the source of larvae to the South
China Sea during the rest of the year. The western Palawan shelf was subdivided into the
northern reefs (cluster 10), connecting mostly with the northern South China Sea and the
Larval connectivity patterns of the NIWP coral reefs
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Fig 4. Variability of mean direction of exports at each reef cell. (A) shows the average standard deviation between
seasons, (B) shows the average standard deviation between years. Areas marked with �indicate reefs of high variability
mentioned in the text.
https://doi.org/10.1371/journal.pone.0219913.g004
Larval connectivity patterns of the NIWP coral reefs
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Mindoro Strait, and the southern reefs (cluster 11), connecting with the southern South China
Sea and the Balabac strait. The Spratly Islands were also subdivided to the northern cluster
(12) connecting with the northern South China Sea and the southern cluster (13) including
Western Borneo mostly connected with the southern South China Sea and the Celebes Sea.
The Karimata Strait cluster emerged at MCS = 75 (Figure B in S5 Appendix) which have
relatively isolated reefs connecting mostly with the Spratly Islands and the Gulf of Thailand as
well. The Celebes Sea was divided into a generally northern-side and a Sulawesi-side at the
same MCS. The southern Sulu Sea cluster was divided into the sides of the Sibutu Passage at
MCS = 50 (Figure C in S5 Appendix). The Philippine internal seas were similarly divided into
the North and South Sibuyan Sea, Visayan Sea, and Camotes Sea while Bohol Sea was also
bisected into the northern and southern sides of the Bohol Jet. Most of the individual bays and
islands were separated as their own clusters at MCS = 20 (Figure D in S5 Appendix). The Gulf
of Thailand and Hainan reefs, which had limited external connections with the South China
Sea also emerged as clusters. At MCS = 5, 385 clusters were formed (Fig 5B) with an average
size of 9.7 ±4 reef cells. This decreased the scale to about 10% of the original matrix while
retaining most of the simulated regional connectivity patterns.
Discussion
The North Indo-West Pacific region is characterized by complex circulation and distinct mon-
soonal systems. These conditions together with differences in early life history-characteristics
gave rise to variations in patterns of connectivity. Interestingly though, these patterns were
generally correlated with each other, pointing to the large influence of the spatial configuration
of reefs on connectivity in the NIWP. This increases support for the integration of the different
matrices and coming up with clusters representing covarying connectivity patterns.
Influence of early life history characteristics on connectivity
The dispersal kernels provided a useful overview of relative settlement probabilities between
reefs of the NIWP given only their distance, and highlight some variabilities due to early life
history traits. These showed that the earlier onset of settlement for A.millepora when offshore
dispersal was still limited, led to higher local retention, echoing the results of other dispersal
modelling studies [25,47]. Long-distance connections, though rare, were also observed for the
Table 4. Clustering details at various minimum cluster size (MCS) parameter values. The size of clusters was measured by the number of reef cells included in the
cluster.
MCS parameter Number of Clusters Minimum Cluster Size Maximum Cluster Size Mean Cluster Size SD of Cluster Sizes Number of Unclustered Cells
1 924 2 19 4 2.3 11
5 385 5 33 9.7 4 29
10 194 10 48 19.1 7.2 64
15 134 15 67 27.7 9.8 64
20 101 20 128 36.6 16 80
25 70 26 128 51.2 22.6 192
50 34 51 270 100.5 43.6 359
75 19 80 369 178.7 80.3 381
100 13 104 471 248.6 122.5 544
125 7 178 877 420.1 255.9 835
150 5 178 877 459.8 290.1 1477
160 1 1454 1454 1454 0 2322
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Larval connectivity patterns of the NIWP coral reefs
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Fig 5. Clusters of covarying connectivity patterns based on the Bray-Curtis Dissimilarity matrix of the source and
sink connections of the three model organisms. The dendrogram was cut at (A) MCS = 100 and (B) MCS = 5. Each
color represents a unique cluster. Reefs boxed in gray were outliers excluded from the clustering. Clusters identified in
(A) are (1) Northern Luzon and Taiwan, (2) Philippine internal seas and San Bernardino Strait, (3) Bohol Sea and
Surigao Strait, (4) Northern Sulu Sea, (5) Central Sulu Sea, (6) Southern Sulu Sea, (7) Celebes Sea, (8) Vietnam and
Larval connectivity patterns of the NIWP coral reefs
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A.millepora simulations. This is a likely scenario given that the lipid contents of some coral
eggs may extend PLDs to 100 days [76,77]. The relatively higher probability long-distance con-
nections around 800 km and 1,300 km made by less than 5% of the settled larvae were most
likely the result of offshore transport and not readily encountering reefs when larvae were
already competent to settle. The high probability of settling close to the natal reef while still
forming connections at more than 1,000 km suggest that developing local strategies in protect-
ing the linkages of larval supply may also benefit downstream reefs at a regional scale [31,47].
Conversely, more unique connections at farther distances were recorded for T.gratilla and
Epinephelus sp. when the age of settlement competency was delayed by a month. The sensitiv-
ity analysis (S2 Appendix) showed that the model was more sensitive to settlement age, even
by one-day variation, compared to the PLD. This was expected since transport of larvae in a
single day may greatly reshape the dispersal kernel especially for the offshore reefs of the
NIWP.
The long-distance spawners, T.gratilla and Epinephelus sp., had similar mean distance of
connections despite the latter having an age of settlement competency longer by seven days.
The application of swimming behavior for the fish larvae demonstrated that even a conserva-
tive simulation of the reef detection radius could alter the connectivity results. Other studies
[29,64] have acknowledged the role of larval behavior in modulating settlement and limiting
the dispersal distance [69].
The range in the values of the settlement probabilities and the different connectivity matri-
ces imply that the magnitude of connections in the NIWP is sensitive to early life history char-
acteristics. However, the moderate to high correlations of metric values between organisms
suggest that the relative spatial pattern of connectivity is more sensitive to the geographic con-
figuration of reefs rather than the differences in dispersal potential of larvae.
Sensitivity of connectivity to temporal variability
Through simulating connectivity during multiple seasons for each organism, this study dem-
onstrated that the connectivity of the NIWP was sensitive to temporal variabilities. Correla-
tions between seasonal matrices showed that the relative connectivity metrics were mostly
similar between seasons suggesting once again the strong influence of the geographic location
of reefs relative to seasonal circulation variabilities. The mean direction of connections of
some areas were more sensitive to seasonal differences than others. If we were to focus on
areas with high temporal variability, the actual spawning periods of organisms would be
needed to increase the reliability of connectivity probabilities, especially if these probabilities
were to be translated to biomass. Unfortunately, the actual spawning period of many coral reef
organisms in the NIWP is often not known. For taxa that have been well studied like Epinephe-
lus sp., the ranges of spawning periods vary highly within the region [55]. Furthermore, cli-
mate change may affect connectivity patterns [78] by offsetting the spawning timing of
organisms that rely on seasonal changes in temperature [79–81] or circulation patterns
[82,83]. This highlights the need for more studies on spawning periodicity and the effects of
climate change on larval ecology in the NIWP.
Seasonal differences were more salient than interannual differences though this may partly
be due to the use of only three representative years rather than a full ENSO cycle. Connection
directions were more consistent across seasons for reefs at the eastern Luzon and eastern Min-
danao because of the strong year-round boundary currents. Monsoonal reversals have been
Paracel Islands, (9) Western Luzon, (10) Northwestern Palawan, (11) Southwestern Palawan, (12) Northern Spratly
Islands, and (13) Southern Spratly Islands and Western Borneo.
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empirically demonstrated to induce variations in the direction of connectivity especially for
longer PLD organisms [84]. The modelled seasonal variability implies that timing of spawning
would be a critical factor in determining the connectivity of larval organisms [27], especially
since even among fish species from the Philippines, spawning patterns are variable relative to
the monsoons [55,84]. Year-round spawning would lead to interconnectedness, but this may
be an energetically costly reproductive strategy. Spawning during a particular monsoon season
would limit the range of connections and possibly isolate other areas. Spawning during the
summer period, as exemplified by many coral species in the Philippines [53,85,86], may bear
the advantage of having a wider range of possible connection directions since current magni-
tudes are weakest and least directed to a particular direction. The summer period seemed to be
the average of the seasonal circulation patterns since summer matrices were more correlated
with the annually-averaged matrices.
The interannual shifting of the NEC bifurcation latitude [37] may explain high interannual
variability in the direction of connections at the Pacific-facing eastern Samar reefs where larvae
may either be eventually transported by the Kuroshio or the Mindanao current. The NEC also
influences Lamon Bay and Dinagat Sound [37] where sinks may either be more local due to
retention or downstream of the western boundary currents. Additionally, interannual variabil-
ity at the northwestern Lamon Bay may be related to the size and location of the cyclonic eddy
modulated by the NEC [37]. Around the South China Sea, interannual differences in the for-
mation of eddies especially during inter-monsoon periods may be the cause in shifts in the
direction of connections for offshore and exposed reef sites. Interannual differences were also
high around the Celebes Sea reflecting interannual variations in the Indonesian throughflow
[46,87]. Determining the extent of interannual variabilities would be helpful for reefs that
experience good or bad recruitment years [22,88–90].
Management implications from cluster analysis
The clustering of reef cells according to covarying connectivity patterns is a novel method that
can be used to delineate metacommunities for conservation and management. The BCD clus-
tering algorithm, while only considering source and sink connections of each reef and not geo-
graphic distance, produced clusters defined by geographic positions and dominant circulation
features (e.g. straits, bays, jets) [19]. These results point to the capacity of the BCD method to
condense the variations inherent in usually large connectivity matrices. It can be useful in esti-
mating which areas would similarly experience variabilities in larval supply due to the degrada-
tion, or conversely, recovery and enhancement of source reefs, as well as potential changes in
connectivity directionality due to the mediation of climate modes to circulation patterns.
The level of clustering used would need to be informed by the spatial scale of interest. For
example, in the Philippines, management of coral reefs is usually implemented at the level of
local municipalities through community-based MPAs [91]. While the average cluster size of
9.7 ±4 at MCS = 5 was well within the range of the mean number of reef cells of coastal munic-
ipalities (7.91 ±5.7 reef cells per municipality) [92], partitioning of clusters did not necessarily
correspond with political boundaries. The reef clusters not only synthesizes the connectivity
information to a manageable resolution for pattern analysis and as inputs to decision-making
tools [93], but also highlights the shared role of nearby municipalities in regional connectivity.
Creating social networks between local management units encompassed by the different clus-
ters would support ecological connectivity and potentially enhance management effectiveness
[17,91].
Clustering at a coarse scale pointed out some general connectivity patterns between coun-
tries of the NIWP. The global connectivity model by Wood et al. [47] found that interregional
Larval connectivity patterns of the NIWP coral reefs
PLOS ONE | https://doi.org/10.1371/journal.pone.0219913 July 23, 2019 17 / 25
connections have up to 10 times lower probabilities, and this seems to apply as well to trans-
port between Philippine reefs and those of the rest of the NIWP. The circulation of the South
China Sea appeared to be a barrier that limits potential exchange of larvae between the Philip-
pines and mainland Southeast Asia. Connections at the central South China Sea were mostly
seasonal current reversals between Vietnam and the Paracel Islands with the Spratly Islands
and northwestern Luzon. Reefs near the Karimata Strait rarely connected directly to the south-
ern Palawan and Spratly Islands because of the general southward flow near the strait.
Although the Philippines may be an upstream larval source to the surrounding countries [47],
the low probabilities of these potential connections are likely not enough to affect the demo-
graphics of the sink reefs [25,90]. Regardless, clusters spanning multiple countries were found,
including those around northern Borneo and the Sulu Archipelago and of the Celebes Sea.
This emphasizes the value of international partnerships in coral reef management given how
these areas share similar regional roles in supplying larvae to the region.
Concordance of model results with empirical observations
The location of inferred barriers to gene flow summarized in Von der Heyden et al. [94]
appears to be concordant with the implied limitations of the spatial extent of larval exchange.
In the model, northeastern Luzon was the most isolated of Philippine reefs. This is likely
because it is downstream of the persistent NEC and has a limited range of sources. This region
was also found to house genetically distinct populations of Tridacna crocea [95], Chanos cha-
nos [96], and Siganus fuscescens [97]. Observed differences in the populations in the northwest-
ern South China Sea, Gulf of Thailand, Karimata Strait, and the Philippines [94] can be
explained by the limited larval exchanges modelled between these reefs. Contrastingly, the
modelled high interconnectivity between the Spratly Islands and western Palawan [98] reflects
the strong gene flow detected across these reef sites. The perceived distinction of the Philippine
internal seas [94] is concordant with the high likelihood of retention simulated around the
Visayan and Sibuyan Seas, and the limited range of interconnections of the internal reefs with
the Sulu Sea. The north-south genetic distinction of the Celebes Sea [94] differentiating the
Philippine and Indonesian sides may likely be a result of the year-round southward through-
flow and the eddy dipole produced by the Mindanao current [99] resulting to limited connec-
tions from southern to northern reefs. The genetic partitioning that grouped the western
Philippines, Sulu Sea, northern Celebes Sea, Bohol Sea, and eastern Mindanao as one popula-
tion cluster [94] was likely a result of the high interconnectivity of reefs of these regions.
The spatial match between the modelled regional connectivity patterns with inferred
genetic barriers provides a coarse validation of large-scale exchange of larvae in the NIWP.
Validation with population structure is still insufficient for finer-scale spatial patterns espe-
cially since genetic and ecological interconnectedness can be mutually exclusive, i.e., popula-
tions that are evolutionarily linked may be demographically separated [25]. The clustering of
reefs around the Bohol Sea did not strictly agree with the connectivity clusters based on species
assemblage demonstrated by Abesamis and colleagues [100], although their study better
resolved the Bohol Sea coastline. At the mesoscale, the hydrodynamic data used in this study
was consistent with oceanographic observations [38,50,101] assuring that the transport mecha-
nisms yielding the patterns of reef directionalities were reliable in terms of time-averaged cir-
culation patterns.
Recent studies on parentage analyses of various reef organisms provide optimistic empirical
demonstrations of demographic connectivity at both local and regional scales. Parent-juvenile
pairings have shown both greater local retention at the natal reef or reef region and more
importantly, long-distance connections representing the tail of dispersal up to distances of 48
Larval connectivity patterns of the NIWP coral reefs
PLOS ONE | https://doi.org/10.1371/journal.pone.0219913 July 23, 2019 18 / 25
km to 400 km for different species [21,82,100–106]. The estimates of the dispersal distances of
this study are within the estimated empirical distances from fitted dispersal kernels with 95%
(50%) of dispersal at 83 km (33 km) for C.vagabundus [84], and 480 km (110 km) to 811 km
(185 km) for P.maculatus and P.leopardus [106], respectively. These empirical estimates of
connectivity suggest that the long-distance regional connectivity modelled in this study likely
occurs [106] and is regular rather than rare and stochastic [105].
Recommendations for model development
The model was only able to account for surface flow and near-surface reefs. Subsurface path-
ways that likely retained more larvae near the natal reef would best be resolved with three-
dimensions. Such a modelling approach could potentially capture depth variability of spawn-
ing and settlement, especially for reef slopes and mesophotic reefs [33,107], together with the
capability of many larvae to regulate their vertical position in the water column [41,108]. Lar-
vae of brooding organisms, which are likely negatively buoyant and could readily settle, were
likewise not represented in the model. Although the parameters used for settlement age and
PLD are representative of the usual range of larval reef organisms, longer PLDs and onset of
settlement have already been observed [19,69,103]. Most importantly, a more comprehensive
set of ecological functions like realistic mortality scenarios, the effect of reef health and cover
in larval supply and settlement, and post-settlement scenarios were excluded from the model
to focus on determining potential connectivity patterns. It would be interesting to incorporate
these in future simulations of the model.
Improving the model results would primarily entail (1) increasing the resolution which
would resolve the narrow straits and complex coastlines and (2) coupling larval dispersal with
a population growth model using realistic estimates of larval supply and settlement habitat
quality. Applying the connectivity results to matrix projections [31] and seascape genetics
[109–111] would better link demographic connectivity with population genetics studies. It
would be interesting to numerically test how much larval dispersal explains population genetic
diversity using the biophysical connectivity estimates from this study.
Conclusions
Our simulation of the larval connectivity of three coral reef organisms demonstrated that con-
nectivity is inherently variable in a dynamic region like the NIWP. Both early-life history char-
acteristics and temporal differences in circulation resulted in variations in the magnitudes of
the settlement probabilities and connectivity metrics. However, based on the generally moder-
ate to high correlations of these metrics between organisms and between time periods, connec-
tivity in the NIWP seems more sensitive to the geographic configuration of reefs compared to
differences in dispersal potential of larvae or circulation. Concordance of the modeled ranges
of dispersal with the range of the empirical estimates from parentage analyses, and the identifi-
cation of clusters of co-varying connectivity patterns with population genetic studies, provide
support for the validity of the model results.
Apart from illustrating the mesoscale patterns in larval connectivity for the NIWP, we offer
three tools which could be used to bridge connectivity from the global to local levels for the
NIWP: (1) fitted dispersal kernel functions providing estimates of the relative probabilities of
connection given only the distances between reefs; (2) maps on the relative sensitivity of differ-
ent reefs to temporal connectivity variability; and, (3) the clustering of reefs using the BCD
algorithm, which produced clusters defined by the geographical position of reefs relative to
dominant circulation patterns and features. These clusters of co-varying connectivity patterns
Larval connectivity patterns of the NIWP coral reefs
PLOS ONE | https://doi.org/10.1371/journal.pone.0219913 July 23, 2019 19 / 25
can serve as inputs into efforts for the conservation and management of NIWP coral reefs
from regional to local levels.
Supporting information
S1 Appendix. Model overview, design concepts, and details.
(DOCX)
S2 Appendix. Model calibration and sensitivity analysis.
(DOCX)
S3 Appendix. Tables of Post-hoc Dunn’s test.
(DOCX)
S4 Appendix. Figures on temporal differences in metrics and direction distributions.
(DOCX)
S5 Appendix. Figures on the clusters formed at other MCS values.
(DOCX)
Acknowledgments
We thank D. Deauna for providing the hydrodynamic data and P. Cadeliña for providing the
coral reef shape files. We also thank the members of the Biological Oceanography and Model-
ling of Ecosystems (BiOME) Laboratory who assisted in running model simulations on their
computers.
Author Contributions
Conceptualization: Patrick R. Pata, Aletta T. Yñiguez.
Data curation: Patrick R. Pata.
Formal analysis: Patrick R. Pata.
Methodology: Patrick R. Pata.
Project administration: Aletta T. Yñiguez.
Software: Patrick R. Pata.
Supervision: Aletta T. Yñiguez.
Visualization: Patrick R. Pata.
Writing – original draft: Patrick R. Pata.
Writing – review & editing: Aletta T. Yñiguez.
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