Conclusions
Olinger LK, Edmunds PJ, Levitan D, Smith TB, Lasker H, Feeley M, Mahoney L, Dahl A. Reproductive mode, but not rarity, influences population trajectories in corals. In Review 2026.
This page gathers the headline results of the study and pairs them with a tool to test the one choice they rest on. The figures below show the published analysis; open any program page for the full analysis and its updated version.
Highlight results
The integrated result
Table 1 reports the model coefficients for all three programs, fit with HC3 robust standard errors (1).
| Predictor | TCRMP | VINPS | CSUN |
|---|---|---|---|
| Intercept | 0.042 (0.039) | 0.070 (0.054) | 0.350 (0.081) *** |
| Year | -0.019 (0.003) *** | -0.010 (0.004) * | -0.011 (0.004) ** |
| Rarity | -1.047 (0.056) *** | -1.073 (0.078) *** | -1.431 (0.118) *** |
| Repro. mode (brooder) | -0.245 (0.055) *** | -0.416 (0.079) *** | -0.611 (0.097) *** |
| Year x Rarity | -0.007 (0.005) | 0.004 (0.006) | -0.001 (0.006) |
| Year x Repro. mode | 0.011 (0.004) * | 0.027 (0.005) *** | 0.019 (0.005) *** |
| Rarity x Repro. mode | -0.339 (0.084) *** | -0.035 (0.115) | 0.463 (0.154) ** |
| Year x Rarity x Repro. mode | 0.009 (0.007) | -0.023 (0.009) ** | -0.016 (0.008) * |
Test the rarity boundary
The rarity result rests on one choice: the boundary that separates common taxa from rare taxa along the ranked abundance distribution. Our paper sets the boundary of common species as those representing the top 90% of baseline cover.
This is somewhat arbitrary. Here we show that major patterns largely hold when move this boundary up or down the abundance distributions. Please try for yourself, and see how the primary statistics change.
#| '!! shinylive warning !!': |
#| shinylive does not work in self-contained HTML documents.
#| Please set `embed-resources: false` in your metadata.
#| standalone: true
#| viewerHeight: 760
#| viewerWidth: 1100
## file: app.R
library(shiny)
library(dplyr)
b64 <- paste(readLines("pre_b64.txt"), collapse = "")
pre <- unserialize(memDecompress(jsonlite::base64_dec(b64), "gzip"))
progs <- c("TCRMP", "VINPS", "CSUN")
palette_grp <- c(
"Common.Broadcaster" = "#0072B2",
"Rare.Broadcaster" = "#56B4E9",
"Common.Brooder" = "#D55E00",
"Rare.Brooder" = "#E69F00"
)
label_grp <- c(
"Common.Broadcaster" = "Common broadcaster",
"Rare.Broadcaster" = "Rare broadcaster",
"Common.Brooder" = "Common brooder",
"Rare.Brooder" = "Rare brooder"
)
term_labels <- c(
"(Intercept)" = "Intercept",
"yearind" = "Year",
"categoryRare" = "Category (Rare)",
"Reproductive_modeBrooder" = "Repro. mode (Brooder)",
"yearind:categoryRare" = "Year x Category",
"yearind:Reproductive_modeBrooder" = "Year x Repro. mode",
"categoryRare:Reproductive_modeBrooder" = "Category x Repro. mode",
"yearind:categoryRare:Reproductive_modeBrooder" = "Year x Cat x Repro"
)
plot_sad <- function(prog, part) {
d <- part$classification
d <- d[order(prog$baseline$rank[match(d$taxon, prog$baseline$taxon)]), ]
grp <- paste(d$commonness, d$Reproductive_mode, sep = ".")
cols <- palette_grp[grp]
cols[is.na(cols)] <- "grey70"
op <- par(
mar = c(3.2, 8.2, 2.2, 0.4),
mgp = c(1.8, 0.5, 0),
tcl = -0.25,
cex.axis = 0.7,
cex.lab = 0.8,
cex.main = 0.88
)
on.exit(par(op))
bp <- barplot(
rev(d$meancov),
horiz = TRUE,
col = rev(cols),
border = NA,
names.arg = rev(d$taxon),
las = 1,
cex.names = 0.58,
xlab = "Mean baseline abundance",
main = sprintf("%d common / %d rare", part$n_common, prog$N - part$n_common)
)
nb <- nrow(d)
if (part$n_common >= 1 && part$n_common < nb) {
abline(
h = mean(bp[c(nb - part$n_common, nb - part$n_common + 1)]),
lty = 2,
lwd = 1.5,
col = "grey10"
)
}
}
plot_trend <- function(part) {
d <- part$analysis
grp <- paste(d$category, d$Reproductive_mode, sep = ".")
cols <- palette_grp[grp]
op <- par(
mar = c(3.3, 3.2, 1.1, 0.3),
mgp = c(1.8, 0.5, 0),
tcl = -0.25,
cex.axis = 0.72,
cex.lab = 0.8
)
on.exit(par(op))
plot(
d$year,
d$perccover,
log = "y",
pch = 21,
cex = 0.68,
bg = adjustcolor(cols, 0.32),
col = "#00000055",
xlab = "Year",
ylab = "Abundance, log scale"
)
for (g in unique(grp)) {
sub <- d[grp == g, ]
if (nrow(sub) > 2) {
m <- lm(log10(perccover) ~ year, sub)
xs <- range(sub$year)
ys <- 10^predict(m, data.frame(year = xs))
lines(xs, ys, col = palette_grp[g], lwd = 1.7)
}
}
legend(
"topright",
legend = label_grp[names(palette_grp)],
col = palette_grp,
lwd = 1.7,
cex = 0.58,
bty = "n",
inset = 0.01
)
}
part_of <- function(p, k) {
pp <- pre[[p]]
key <- as.character(min(max(round(k), min(pp$valid_k)), max(pp$valid_k)))
pp$parts[[key]]
}
ui <- fluidPage(
tags$style(HTML(
"
body {
font-family: 'Space Grotesk', system-ui, sans-serif;
font-size: 12px;
}
h4 {
margin-top: 8px;
margin-bottom: 6px;
}
h5 {
margin-top: 10px;
margin-bottom: 4px;
font-size: 12px;
font-weight: 700;
}
p {
margin-bottom: 8px;
}
hr {
margin-top: 10px;
margin-bottom: 10px;
}
.form-group {
margin-bottom: 4px;
}
.plot-pair {
display: flex;
flex-direction: row;
align-items: flex-start;
justify-content: flex-start;
gap: 12px;
width: 100%;
}
.plot-pane {
min-width: 0;
flex: 0 0 auto;
}
.sad-inner {
width: 300px;
max-width: 100%;
}
.trend-inner {
width: 300px;
max-width: 100%;
}
.sad-inner .shiny-plot-output {
width: 460px !important;
max-width: 100%;
}
.trend-inner .shiny-plot-output {
width: 380px !important;
max-width: 100%;
}
.pubtbl {
border-collapse: collapse;
font-size: 12px;
margin: 4px 0;
}
.pubtbl th,
.pubtbl td {
border-bottom: 1px solid #ddd6ca;
padding: 4px 8px;
text-align: center;
vertical-align: top;
}
.pubtbl td:first-child,
.pubtbl th:first-child {
text-align: left;
}
.pubtbl thead th {
background: #0b2444;
color: #fff;
white-space: pre-line;
font-weight: 600;
}
"
)),
#h4("Rare / common boundary explorer"),
p(
"Move each program's boundary. Taxa above the split are common, below are rare. "
),
actionButton("reset", "Reset all to 90%"),
tags$hr(),
lapply(progs, function(p) {
tagList(
h5(sprintf("%s (%s)", p, pre[[p]]$taxon_level)),
uiOutput(paste0("sl_", p)),
tags$div(
class = "plot-pair",
tags$div(
class = "plot-pane sad-pane",
tags$div(
class = "sad-inner",
plotOutput(paste0("sad_", p), height = "300px", width = "300")
)
),
tags$div(
class = "plot-pane trend-pane",
tags$div(
class = "trend-inner",
plotOutput(paste0("trend_", p), height = "300px", width = "300px")
)
)
),
tags$hr()
)
}),
h5("Table 1, regenerated at the current boundaries"),
uiOutput("table1"),
h5("Supplemental: group-specific temporal slopes"),
tableOutput("slopes")
)
server <- function(input, output, session) {
po <- function(p) {
part_of(p, input[[paste0("k_", p)]])
}
lapply(progs, function(p) {
output[[paste0("sl_", p)]] <- renderUI({
pp <- pre[[p]]
sliderInput(
paste0("k_", p),
label = NULL,
min = min(pp$valid_k),
max = max(pp$valid_k),
value = pp$k_paper,
step = 1,
width = "100%"
)
})
output[[paste0("sad_", p)]] <- renderPlot({
req(input[[paste0("k_", p)]])
plot_sad(pre[[p]], po(p))
})
output[[paste0("trend_", p)]] <- renderPlot({
req(input[[paste0("k_", p)]])
plot_trend(po(p))
})
})
observeEvent(input$reset, {
for (p in progs) {
updateSliderInput(session, paste0("k_", p), value = pre[[p]]$k_paper)
}
})
output$table1 <- renderUI({
req(input$k_TCRMP, input$k_VINPS, input$k_CSUN)
parts <- lapply(progs, po)
req(all(!vapply(parts, is.null, logical(1))))
f2 <- function(x) {
formatC(x, format = "f", digits = 2)
}
cell <- function(est, se, p) {
st <- ifelse(
p < 0.001,
"***",
ifelse(p < 0.01, "**", ifelse(p < 0.05, "*", ""))
)
pt <- ifelse(
p < 0.001,
"p<0.001",
paste0("p=", formatC(p, format = "f", digits = 3))
)
HTML(paste0(f2(est), " (", f2(se), ")<br>", pt, st))
}
co1 <- parts[[1]]$coef
body <- lapply(seq_len(nrow(co1)), function(i) {
tags$tr(
tags$td(term_labels[[co1$term[i]]]),
lapply(seq_along(progs), function(j) {
co <- parts[[j]]$coef
sig <- co$p.value[i] < 0.05
tags$td(
style = if (sig) "font-weight:700" else "",
cell(co$estimate[i], co$std.error[i], co$p.value[i])
)
})
)
})
stat_labs <- c("Adj. R-squared", "Observations", "Residual SE", "df")
stat_vals <- lapply(parts, function(pt) {
fs <- pt$fit_stats
c(
formatC(fs$adj_r2, format = "f", digits = 3),
fs$n,
formatC(fs$rse, format = "f", digits = 3),
fs$df
)
})
stats <- lapply(seq_along(stat_labs), function(r) {
tags$tr(
tags$td(stat_labs[r]),
lapply(stat_vals, function(v) tags$td(v[r]))
)
})
tags$div(
tags$table(
class = "pubtbl",
tags$thead(
tags$tr(
tags$th("Predictor"),
lapply(progs, function(p) {
tags$th(paste0(p, "\nEstimate (SE)\nP-value"))
})
)
),
tags$tbody(body, stats)
),
tags$p(
style = "font-size:11px;color:#6d685e",
"Table 1. Linear-model coefficients with HC3 robust standard errors. Dependent variable: ",
"log10 percent cover. Significant terms (p<0.05) in bold."
)
)
})
output$slopes <- renderTable({
req(input$k_TCRMP, input$k_VINPS, input$k_CSUN)
do.call(
rbind,
lapply(progs, function(p) {
po(p)$slopes %>%
transmute(
Program = p,
Group,
Slope = sprintf("%.4f", Slope),
SE = sprintf("%.4f", SE),
`Annual % change` = sprintf("%.2f", `Annual % change`),
`P-value` = ifelse(
`P-value` < 0.001,
"< 0.001",
sprintf("%.3f", `P-value`)
)
)
})
)
},
striped = TRUE,
hover = TRUE,
width = "100%")
}
shinyApp(ui, server)
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Brooders and broadcasters over time
Reproductive mode reshapes the community. Figure 2 follows the mean cover of broadcasters and brooders separately in each program, and tracks the brooder share of total coral cover. Broadcaster cover falls across all three programs while brooder cover holds steadier, so the brooder share of cover climbs over the record. In two programs it approaches the 50 percent parity line, meaning brooders may soon hold as much reef cover as broadcasters, a reversal of the historical dominance of broadcasting reef-builders.
Occupancy versus extent
Two taxa can lose the same amount of cover in different ways: one by disappearing from sites (an occupancy loss), another by thinning where it persists (an extent loss). Figure 3 separates the two. Each arrow runs from a taxon’s baseline occupancy and extent to its recent values, colored by group. Broadcasters tend to slide down and to the left (thinner and less widespread); several brooders hold or expand their occupancy.
Download the data and code
The input datasets read in Step 1 of each analysis, and the full analysis code, are available for download here. Each dataset keeps its original file name; the cover and survey files are clipped to their analysis year range.
Analysis code:
Input data:
- Coral species cover, TCRMP and VINPS (2001–2023): s2pt5_benthicCoverCoralSpecies_41sites_1999_2024.csv — metadata: s2pt5_benthicCoverCoralSpecies_41sites_1999_2024.txt
- Coral genus cover, CSUN (1992–2023): s2pt4_benthicCoverCoralGenera_49sites_1987_2024.csv — metadata: s2pt4_benthicCoverCoralGenera_49sites_1987_2024.txt
- Octocoral colony surveys (2014–2024): octocoral_adultSurveys_Lasker_20250409.csv — metadata: octocoral_adultSurveys_Lasker_20250409_metadata.txt
- Site metadata: 00_RRS_siteMaster_allSites_data.csv