Table 1 List of explanatory variables used in the ordinal logistic regression analysis

From: High frequency temperature variability reduces the risk of coral bleaching

Category

Variable [Units]

Identifier

Description

Ref.

1. Depth

Instrument depth [m]

depth

In situ water depth of instrument

 

2. Background Conditions

Latitude [DD]

lats

Latitude of instrument

 
 

Maximum Monthly Mean (MMM) [°C]

MMMTotal

Maximum of monthly mean climatology from entire time series

85

  

MMM

Maximum of monthly mean climatology using data only before and during bleaching event

 
  

MMM4 km

Maximum of monthly mean climatology using 4 km weekly CoRTAD SST data

 
  

MMMMax

Mean of maximum monthly SST from each year in climatological time period

15

3. Cumulative Thermal Stress

Degree Heating Weeks (DHW) [°C-weeks]

DHW90

Trapezoidal integration of temperatures in excess of MMM+ 1 °C during 90 days preceding a bleaching event

85

  

DHW30

Trapezoidal integration of temperatures in excess of MMM+ 1 °C during 30 days preceding a bleaching event

 
  

DHW4 km

Degree heating week product from 4 km weekly CoRTAD SST data

 
 

Cumulative Summer Anomaly (CSA) [°C-days]

CSATotal

Trapezoidal integration of temperatures in excess of MMM+ 1 °C during all summer periods through entire time series

 
  

CSABefore

Trapezoidal integration of temperatures in excess of MMM+ 1 °C during summer periods before and during a bleaching event

 
  

CSADuring

Trapezoidal integration of temperatures in excess of MMM+ 1 °C during summer of bleaching event

 

4. Acute Thermal Stress

Presence/absence of acute temperature anomaly [binary]

Acute1

Binary value indicating whether any of the daily mean temperatures within 90 days preceeding a bleaching event exceeded MMM+ 1 °C

 
  

Acute14 km

Acute1 computed using 4 km weekly CoRTAD SST data

 
  

Acute2

Binary value indicating whether any of the daily mean temperatures within 90 days preceeding a bleaching event exceeded MMM+ 2 °C

 
  

Acute24 km

Acute2 computed using 4 km weekly CoRTAD SST data

 

5. Thermal Trajectory

Type of induced thermal tolerance prior to acute thermal stress, using twice-weekly averaged temperatures [ordinal]

TT

0: No thermal stress (temperatures do not exceed MMM+ 2 °C within 90 days prior to survey date)

1: Protective Trajectory (temperatures exceed MMM, then have a recovery period below MMM for at least 10 days prior to exceeding MMM+ 2 °C)

2: Single Bleaching Trajectory (temperatures exceed both MMM and MMM+ 2 °C without a 10-day recovery period in between)

3: Repetitive Bleaching Trajectory (temperatures exceed MMM+ 2 °C in two peaks separated by 9 days)

39

6. Heating Rate

Rate of spring-summer temperature change [°C/day]

ROTCSS

Mean rate of temperature change during spring and summer of all years

25

  

ROTC90-4 km

Mean rate of temperature change during 90 days preceding a bleaching event using CoRTAD SST data

 
  

ROTCSS-4  km

Mean rate of temperature change during spring and summer of all years using CoRTAD SST data

 

7. High-Frequency Temperature Variability

Daily Temperature Range (DTR) [°C]

DTRTotal

Mean DTR over entire time series

 
  

DTRSS

Mean DTR of all spring and summer periods

 
  

DTRFW

Mean DTR of all fall and winter periods

 
  

DTR90

Mean DTR over 90 days preceding a bleaching event

 
  

DTR30

Mean DTR over 30 days preceding a bleaching event

 

8. DTR Distribution Shape

Measure of shape of distribution of all DTR values w/in a time series [−]

kurtosis

Kurtosis of full time series of DTR values

 
  

skewness

Skewness of full time series of DTR values

 
  1. Variables are grouped according to eight categories representing different aspects of ecologically relevant environmental and temperature factors. Seasons were defined such that each season spanned three complete months, and austral and boreal summers were December through February and June through August, respectively