With the recent increase in deforestation, forest fires, and regional temperatures, the concerns around the rapid and complete collapse of the Amazon rainforest ecosystem have heightened. The thresholds of deforestation and the temperature increase required for such a catastrophic event are still uncertain. However, our analysis presented here shows that signatures of changing Amazon are already apparent in historical climate data sets. Here, we extend the methods of climate network analysis and apply them to study the temporal evolution of the connectivity between the Amazon rainforest and the global climate system. We observe that the Amazon rainforest is losing short-range connectivity and gaining more long-range connections, indicating shifts in regional-scale processes. Using embeddings inspired by manifold learning, we show that the Amazon connectivity patterns have undergone a fundamental shift in the 21st century. By investigating edge-based network metrics on similar regions to the Amazon, we see the changing properties of the Amazon are noticeable in comparison. Furthermore, we simulate diffusion and random walks on these networks and observe a faster spread of perturbations from the Amazon in recent decades. Our methodology innovations can act as a template for examining the spatiotemporal patterns of regional climate change and its impact on global climate using the toolbox of climate network analysis.

1.
S.
Ornes
, “
How does climate change influence extreme weather? Impact attribution research seeks answers
,”
Proc. Natl. Acad. Sci. U.S.A.
115
,
8232
8235
(
2018
).
2.
W. J.
Ripple
,
C.
Wolf
,
T. M.
Newsome
,
P.
Barnard
, and
W. R.
Moomaw
, “
World scientists’ warning of a climate emergency
,”
BioScience
70
,
8
12
(
2019
).
3.
T. M.
Lenton
,
J.
Rockström
,
O.
Gaffney
,
S.
Rahmstorf
,
K.
Richardson
,
W.
Steffen
, and
H. J.
Schellnhuber
, “Climate tipping points—Too risky to bet against,”
Nature
575
,
592
595
(
2019
).
4.
H.-O.
Pörtner
,
D.
Roberts
,
H.
Adams
,
I.
Adelekan
,
C.
Adler
,
R.
Adrian
,
P.
Aldunce
,
E.
Ali
,
R. A.
Begum
,
B. B.
Friedl
,
R. B.
Kerr
,
R.
Biesbroek
,
J.
Birkmann
,
K.
Bowen
,
M.
Caretta
,
J.
Carnicer
,
E.
Castellanos
,
T.
Cheong
,
W.
Chow
,
G. C. G.
Cissé
, and
Z. Z.
Ibrahim
, “Climate change 2022: Impacts, adaptation and vulnerability,” in Technical Summary (Cambridge University Press, Cambridge, 2022), pp. 37–118.
5.
K. L.
Ebi
,
J.
Vanos
,
J. W.
Baldwin
,
J. E.
Bell
,
D. M.
Hondula
,
N. A.
Errett
,
K.
Hayes
,
C. E.
Reid
,
S.
Saha
,
J.
Spector
, and
P.
Berry
, “
Extreme weather and climate change: Population health and health system implications
,”
Annu. Rev. Public Health
42
,
293
315
(
2021
).
6.
J. A.
Church
and
N. J.
White
, “
Sea-level rise from the late 19th to the early 21st century
,”
Surv. Geophys.
32
,
585
602
(
2011
).
7.
R.
Domingues
,
G.
Goni
,
M.
Baringer
, and
D.
Volkov
, “
What caused the accelerated sea level changes along the U.S. East Coast during 2010–2015?
,”
Geophys. Res. Lett.
45
,
13,367
13,376
, https://doi.org/10.1029/2018GL081183 (
2018
).
8.
D. M.
Bergstrom
,
B. C.
Wienecke
,
J.
van den Hoff
,
L.
Hughes
,
D. B.
Lindenmayer
,
T. D.
Ainsworth
,
C. M.
Baker
,
L.
Bland
,
D. M. J.
S. Bowman
,
S. T.
Brooks
,
J. G.
Canadell
,
A. J.
Constable
,
K. A.
Dafforn
,
M. H.
Depledge
,
C. R.
Dickson
,
N. C.
Duke
,
K. J.
Helmstedt
,
A.
Holz
,
C. R.
Johnson
,
M. A.
McGeoch
,
J.
Melbourne-Thomas
,
R.
Morgain
,
E.
Nicholson
,
S. M.
Prober
,
B.
Raymond
,
E. G.
Ritchie
,
S. A.
Robinson
,
K. X.
Ruthrof
,
S. A.
Setterfield
,
C. M.
Sgrò
,
J. S.
Stark
,
T.
Travers
,
R.
Trebilco
,
D. F. L.
Ward
,
G. M.
Wardle
,
K. J.
Williams
,
P. J.
Zylstra
, and
J. D.
Shaw
, “
Combating ecosystem collapse from the tropics to the Antarctic
,”
Glob. Change Biol.
27
,
1692
1703
(
2021
).
9.
C. F.
Sato
and
D. B.
Lindenmayer
, “
Meeting the global ecosystem collapse challenge
,”
Conserv. Lett.
11
,
e12348
(
2018
).
10.
N.
Boers
,
N.
Marwan
,
H. M.
Barbosa
, and
J.
Kurths
, “
A deforestation-induced tipping point for the South American monsoon system
,”
Sci. Rep.
7
,
41489
(
2017
).
11.
C.
Smith
,
J. C. A.
Baker
, and
D. V.
Spracklen
, “
Tropical deforestation causes large reductions in observed precipitation
,”
Nature
615
,
270
275
(
2023
).
12.
A. T.
Leite-Filho
,
B. S.
Soares-Filho
,
J. L.
Davis
,
G. M.
Abrahão
, and
J.
Börner
, “
Deforestation reduces rainfall and agricultural revenues in the Brazilian Amazon
,”
Nat. Commun.
12
,
2591
(
2021
).
13.
C. A.
Boulton
,
T. M.
Lenton
, and
N.
Boers
, “
Pronounced loss of Amazon rainforest resilience since the early 2000s
,”
Nat. Clim. Change
12
,
271
278
(
2022
).
14.
R. A.
Butler
, “What’s the deforestation rate in the Amazon?” (2020), see https://rainforests.mongabay.com/amazon/deforestation-rate.html.
15.
L. V.
Gatti
,
L. S.
Basso
,
J. B.
Miller
,
M.
Gloor
,
L.
Gatti Domingues
,
H. L. G.
Cassol
,
G.
Tejada
,
L. E. O.
C. Aragão
,
C.
Nobre
,
W.
Peters
,
L.
Marani
,
E.
Arai
,
A. H.
Sanches
,
S. M.
Corrêa
,
L.
Anderson
,
C.
Von Randow
,
C. S. C.
Correia
,
S. P.
Crispim
, and
R. A. L.
Neves
, “
Amazonia as a carbon source linked to deforestation and climate change
,”
Nature
595
,
388
393
(
2021
).
16.
N. L.
Harris
,
D. A.
Gibbs
,
A.
Baccini
,
R. A.
Birdsey
,
S.
de Bruin
,
M.
Farina
,
L.
Fatoyinbo
,
M. C.
Hansen
,
M.
Herold
,
R. A.
Houghton
,
P. V.
Potapov
,
D. R.
Suarez
,
R. M.
Roman-Cuesta
,
S. S.
Saatchi
,
C. M.
Slay
,
S. A.
Turubanova
, and
A.
Tyukavina
, “
Global maps of twenty-first century forest carbon fluxes
,”
Nat. Clim. Change
11
,
234
240
(
2021
).
17.
O. L.
Phillips
and
R. J. W.
Brienen
,
T. R. collaboration
, “
Carbon uptake by mature Amazon forests has mitigated Amazon nations’ carbon emissions
,”
Carbon Balance Manage.
12
,
1
(
2017
).
18.
R.
Avissar
and
D.
Werth
, “
Global hydroclimatological teleconnections resulting from tropical deforestation
,”
J. Hydrometeorol.
6
,
134
145
(
2005
).
19.
N.
Wunderling
,
F.
Wolf
,
O. A.
Tuinenburg
, and
A.
Staal
, “
Network motifs shape distinct functioning of Earth’s moisture recycling hubs
,”
Nat. Commun.
13
,
6574
(
2022
).
20.
N.
Malik
,
B.
Bookhagen
,
N.
Marwan
, and
J.
Kurths
, “
Analysis of spatial and temporal extreme monsoonal rainfall over South Asia using complex networks
,”
Clim. Dyn.
39
,
971
987
(
2012
).
21.
U.
Ozturk
,
N.
Malik
,
K.
Cheung
,
N.
Marwan
, and
J.
Kurths
, “
A network-based comparative study of extreme tropical and frontal storm rainfall over Japan
,”
Clim. Dyn.
53
,
521
532
(
2019
).
22.
T.
Liu
,
D.
Chen
,
L.
Yang
,
J.
Meng
,
Z.
Wang
,
J.
Ludescher
,
J.
Fan
,
S.
Yang
,
D.
Chen
,
J.
Kurths
,
X.
Chen
,
S.
Havlin
, and
H. J.
Schellnhuber
, “
Teleconnections among tipping elements in the Earth system
,”
Nat. Clim. Change
13
,
67
74
(
2023
).
23.
A. A.
Tsonis
,
K. L.
Swanson
, and
P. J.
Roebber
, “
What do networks have to do with climate?
,”
Bull. Am. Meteorol. Soc.
87
,
585
596
(
2006
).
24.
J. F.
Donges
,
Y.
Zou
,
N.
Marwan
, and
J.
Kurths
, “
Complex networks in climate dynamics
,”
Eur. Phys. J. Spec. Top.
174
,
157
179
(
2009
).
25.
A.
Radebach
,
R. V.
Donner
,
J.
Runge
,
J. F.
Donges
, and
J.
Kurths
, “
Disentangling different types of El Niño episodes by evolving climate network analysis
,”
Phys. Rev. E
88
,
052807
(
2013
).
26.
N.
Boers
,
B.
Goswami
,
A.
Rheinwalt
,
B.
Bookhagen
,
B.
Hoskins
, and
J.
Kurths
, “
Complex networks reveal global pattern of extreme-rainfall teleconnections
,”
Nature
566
,
373
377
(
2019
).
27.
C.
Ciemer
,
R.
Winkelmann
,
J.
Kurths
, and
N.
Boers
, “
Impact of an AMOC weakening on the stability of the southern Amazon rainforest
,”
Eur. Phys. J. Spec. Top.
230
,
3065
3073
(
2021
).
28.
J.
Fan
,
J.
Meng
,
Y.
Ashkenazy
,
S.
Havlin
, and
H. J.
Schellnhuber
, “
Climate network percolation reveals the expansion and weakening of the tropical component under global warming
,”
Proc. Natl. Acad. Sci. U.S.A.
115
,
E12128
E12134
(
2018
).
29.
H.
Kuai
,
P.
Yu
,
W.
Liu
,
Y.
Zhang
, and
J.
Fan
, “
Climate network analysis detects hot spots under anthropogenic climate change
,”
Atmosphere
14
,
692
(
2023
).
30.
“The NCEP/NCAR Reanalysis Project at the NOAA Physical Sciences Laboratory: NCEP-NCAR Reanalysis 1,” see https://psl.noaa.gov/data/gridded/data.ncep.reanalysis.html.
31.
E.
Kalnay
,
M.
Kanamitsu
,
R.
Kistler
,
W.
Collins
,
D.
Deaven
,
L.
Gandin
,
M.
Iredell
,
S.
Saha
,
G.
White
,
J.
Woollen
,
Y.
Zhu
,
M.
Chelliah
,
W.
Ebisuzaki
,
W.
Higgins
,
J.
Janowiak
,
K. C.
Mo
,
C.
Ropelewski
,
J.
Wang
,
A.
Leetmaa
,
R.
Reynolds
,
R.
Jenne
, and
D.
Joseph
, “
The NCEP/NCAR 40-year reanalysis project
,”
Bull. Am. Meteorol. Soc.
77
,
437
472
(
1996
).
32.
I.P. on Climate Change, “Observations: Ocean pages,” in Climate Change 2013—The Physical Science Basis: Working Group I Contribution to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change (Cambridge University Press, 2014), pp. 255–316.
33.
S.
Levitus
,
J. I.
Antonov
,
T. P.
Boyer
,
R. A.
Locarnini
,
H. E.
Garcia
, and
A. V.
Mishonov
, “
Global ocean heat content 1955–2008 in light of recently revealed instrumentation problems
,”
Geophys. Res. Lett.
36
,
L07608
, https://doi.org/10.1029/2008GL037155 (
2009
).
34.
M.
Satoh
,
Atmospheric Circulation Dynamics and General Circulation Models
, 2nd ed. (
Springer-Verlag
,
2014
).
35.
M.
Belkin
and
P.
Niyogi
, “Laplacian eigenmaps and spectral techniques for embedding and clustering,” in Proceedings of the 14th International Conference on Neural Information Processing Systems: Natural and Synthetic, NIPS’01 (MIT Press, Cambridge, MA, 2001), pp. 585–591.
36.
U.
Brandes
, “
A faster algorithm for betweenness centrality
,”
J. Math. Sociol.
25
,
163
177
(
2001
).
37.
F.
Cajori
,
A History of Mathematical Notations
(
Cosimo, Incorporated
,
2007
), Vol. II.
38.
W.
Steffen
,
J.
Rockström
,
K.
Richardson
,
T. M.
Lenton
,
C.
Folke
,
D.
Liverman
,
C. P.
Summerhayes
,
A. D.
Barnosky
,
S. E.
Cornell
,
M.
Crucifix
,
J. F.
Donges
,
I.
Fetzer
,
S. J.
Lade
,
M.
Scheffer
,
R.
Winkelmann
, and
H. J.
Schellnhuber
, “
Trajectories of the Earth system in the Anthropocene
,”
Proc. Natl. Acad. Sci. U.S.A.
115
,
8252
8259
(
2018
).
39.
N.
Boers
,
B.
Bookhagen
,
N.
Marwan
,
J.
Kurths
, and
J.
Marengo
, “
Complex networks identify spatial patterns of extreme rainfall events of the South American monsoon system
,”
Geophys. Res. Lett.
40
,
4386
4392
, https://doi.org/10.1002/grl.50681 (
2013
).
40.
N.
Boers
,
A.
Rheinwalt
,
B.
Bookhagen
,
H. M. J.
Barbosa
,
N.
Marwan
,
J.
Marengo
, and
J.
Kurths
, “
The South American rainfall dipole: A complex network analysis of extreme events
,”
Geophys. Res. Lett.
41
,
7397
7405
, https://doi.org/10.1002/2014GL061829 (
2014
).
41.
I. I.
Mokhov
,
D. A.
Smirnov
,
P. I.
Nakonechny
,
S. S.
Kozlenko
,
E. P.
Seleznev
, and
J.
Kurths
, “
Alternating mutual influence of El-Niño/Southern Oscillation and Indian monsoon
,”
Geophys. Res. Lett.
38
,
F04
, https://doi.org/10.1029/2010GL045932 (
2011
).
42.
E.
Berenguer
,
G. D.
Lennox
,
J.
Ferreira
,
Y.
Malhi
,
L. E. O.
C. Aragão
,
J. R.
Barreto
,
F. D. B.
Espírito-Santo
,
A. E. S.
Figueiredo
,
F.
França
,
T. A.
Gardner
,
C. A.
Joly
,
A. F.
Palmeira
,
C. A.
Quesada
,
L. C.
Rossi
,
M. M. M.
de Seixas
,
C. C.
Smith
,
K.
Withey
, and
J.
Barlow
, “
Tracking the impacts of El Niño drought and fire in human-modified Amazonian forests
,”
Proc. Natl. Acad. Sci. U.S.A.
118
,
e2019377118
(
2021
).
43.
J. C.
Jiménez-Muñoz
,
C.
Mattar
,
J.
Barichivich
,
A.
Santamaría-Artigas
,
K.
Takahashi
,
Y.
Malhi
,
J. A.
Sobrino
, and
G. V. D.
Schrier
, “
Record-breaking warming and extreme drought in the Amazon rainforest during the course of El Niño 2015–2016
,”
Sci. Rep.
6
,
33130
(
2016
).
44.
W.
Li
,
P.
Zhang
,
J.
Ye
,
L.
Li
, and
P. A.
Baker
, “
Impact of two different types of El Niño events on the Amazon climate and ecosystem productivity
,”
J. Plant Ecol.
4
,
91
99
(
2011
).
45.
C. H. L.
Silva Junior
,
A. C. M.
Pessôa
,
N. S.
Carvalho
,
J. B. C.
Reis
,
L. O.
Anderson
, and
L. E. O.
C. Aragão
, “
The Brazilian Amazon deforestation rate in 2020 is the greatest of the decade
,”
Nat. Ecol. Evol.
5
,
144
145
(
2021
).
46.
K. R.
Kirby
,
W. F.
Laurance
,
A. K.
Albernaz
,
G.
Schroth
,
P. M.
Fearnside
,
S.
Bergen
,
E. M.
Venticinque
, and
C.
da Costa
, “
The future of deforestation in the Brazilian Amazon
,”
Futures
38
,
432
453
(
2006
).
47.
J.
Godar
,
T. A.
Gardner
,
E. J.
Tizado
, and
P.
Pacheco
, “
Actor-specific contributions to the deforestation slowdown in the Brazilian Amazon
,”
Proc. Natl. Acad. Sci. U.S.A.
111
,
15591
15596
(
2014
).
48.
R.
Fu
,
L.
Yin
,
W.
Li
,
P. A.
Arias
,
R. E.
Dickinson
,
L.
Huang
,
S.
Chakraborty
,
K.
Fernandes
,
B.
Liebmann
,
R.
Fisher
, and
R. B.
Myneni
, “
Increased dry-season length over southern Amazonia in recent decades and its implication for future climate projection
,”
Proc. Natl. Acad. Sci. U.S.A.
110
,
18110
18115
(
2013
).
49.
L. E. O.
C. Aragão
,
L. O.
Anderson
,
M. G.
Fonseca
,
T. M.
Rosan
,
L. B.
Vedovato
,
F. H.
Wagner
,
C. V. J.
Silva
,
C. H. L.
Silva Junior
,
E.
Arai
,
A. P.
Aguiar
,
J.
Barlow
,
E.
Berenguer
,
M. N.
Deeter
,
L. G.
Domingues
,
L.
Gatti
,
M.
Gloor
,
Y.
Malhi
,
J. A.
Marengo
,
J. B.
Miller
,
O. L.
Phillips
, and
S.
Saatchi
, “
21st century drought-related fires counteract the decline of Amazon deforestation carbon emissions
,”
Nat. Commun.
9
,
536
(
2018
).
50.
J. A.
Marengo
,
C. M.
Souza
,
K.
Thonicke
,
C.
Burton
,
K.
Halladay
,
R. A.
Betts
,
L. M.
Alves
, and
W. R.
Soares
, “
Changes in climate and land use over the Amazon region: Current and future variability and trends
,”
Front. Earth Sci.
6
,
eid 228
(
2018
).
51.
J. A.
Marengo
and
J. C.
Espinoza
, “
Extreme seasonal droughts and floods in Amazonia: Causes, trends and impacts
,”
Int. J. Climatol.
36
,
1033
1050
(
2016
).
52.
A.
Mamalakis
,
J. T.
Randerson
,
J.-Y.
Yu
,
M. S.
Pritchard
,
G.
Magnusdottir
,
P.
Smyth
,
P. A.
Levine
,
S.
Yu
, and
E.
Foufoula-Georgiou
, “
Zonally contrasting shifts of the tropical rain belt in response to climate change
,”
Nat. Clim. Change
11
,
143
151
(
2021
).
53.
W.
Cai
,
B.
Ng
,
T.
Geng
,
F.
Jia
,
L.
Wu
,
G.
Wang
,
Y.
Liu
,
B.
Gan
,
K.
Yang
,
A.
Santoso
,
X.
Lin
,
Z.
Li
,
Y.
Liu
,
Y.
Yang
,
F.-F.
Jin
,
M.
Collins
, and
M. J.
McPhaden
, “
Anthropogenic impacts on twentieth-century ENSO variability changes
,”
Nat. Rev. Earth Environ.
4
,
407
418
(
2023
).
54.
A.
Ansmann
,
H.
Baars
,
M.
Tesche
,
D.
Müller
,
D.
Althausen
,
R.
Engelmann
,
T.
Pauliquevis
, and
P.
Artaxo
, “
Dust and smoke transport from Africa to South America: Lidar profiling over Cape Verde and the Amazon rainforest
,”
Geophys. Res. Lett.
36
,
L11802
, https://doi.org/10.1029/2009GL037923 (
2009
).
55.
H.
Yu
,
L. A.
Remer
,
R. A.
Kahn
,
M.
Chin
, and
Y.
Zhang
, “
Satellite perspective of aerosol intercontinental transport: From qualitative tracking to quantitative characterization
,”
Atmos. Res.
124
,
73
100
(
2013
).
56.
H.
Akimoto
, “
Global air quality and pollution
,”
Science
302
,
1716
1719
(
2003
).
57.
R. T.
Walker
, “
Collision course: Development pushes Amazonia toward its tipping point
,”
Environ.: Sci. Policy Sustain. Development
63
,
15
25
(
2021
).
58.
Y.
Malhi
,
L. E. O.
C. Aragão
,
D.
Galbraith
,
C.
Huntingford
,
R.
Fisher
,
P.
Zelazowski
,
S.
Sitch
,
C.
McSweeney
, and
P.
Meir
, “
Exploring the likelihood and mechanism of a climate-change-induced dieback of the Amazon rainforest
,”
Proc. Natl. Acad. Sci. U.S.A.
106
,
20610
20615
(
2009
).
59.
J.
Feldmann
and
A.
Levermann
, “
Collapse of the West Antarctic Ice Sheet after local destabilization of the Amundsen Basin
,”
Proc. Natl. Acad. Sci. U.S.A.
112
,
14191
14196
(
2015
).
60.
J. R.
McConnell
,
A. J.
Aristarain
,
J. R.
Banta
,
P. R.
Edwards
, and
J. C.
Simões
, “
20th-century doubling in dust archived in an Antarctic Peninsula ice core parallels climate change and desertification in South America
,”
Proc. Natl. Acad. Sci. U.S.A.
104
,
5743
5748
(
2007
).
61.
J. L.
Green
,
J.
Harte
, and
A.
Ostling
, “Global warming, temperature homogenization and species extinction,” in Biotic Homogenization, edited by J. L. Lockwood and M. L. McKinney (Springer US, Boston, MA, 2001), pp. 179–199.
62.
S.
Bathiany
,
V.
Dakos
,
M.
Scheffer
, and
T. M.
Lenton
, “
Climate models predict increasing temperature variability in poor countries
,”
Sci. Adv.
4
,
eaar5809
(
2018
).
63.
M. P.
Byrne
, “
Amplified warming of extreme temperatures over tropical land
,”
Nat. Geosci.
14
,
837
841
(
2021
).
64.
P. M.
Fearnside
, “
Deforestation in Brazilian Amazonia: History, rates, and consequences
,”
Conserv. Biol.
19
,
680
688
(
2005
).
65.
G.
Mataveli
,
G.
de Oliveira
,
C. H. L.
Silva-Junior
,
S. C.
Stark
,
N.
Carvalho
,
L. O.
Anderson
,
L. V.
Gatti
, and
L. E. O.
C. Aragão
, “
Record-breaking fires in the Brazilian Amazon associated with uncontrolled deforestation
,”
Nat. Ecol. Evol.
6
,
1792
1793
(
2022
).
66.
J. C.
Pereira
and
E.
Viola
, “
Close to a tipping point? The Amazon and the challenge of sustainable development under growing climate pressures
,”
J. Lat. Am. Stud.
52
,
467
494
(
2020
).
67.
P.
Ditlevsen
and
S.
Ditlevsen
, “
Warning of a forthcoming collapse of the Atlantic meridional overturning circulation
,”
Nat. Commun.
14
,
4254
(
2023
).
68.
S.
Jahfer
,
P. N.
Vinayachandran
, and
R. S.
Nanjundiah
, “
The role of Amazon river runoff on the multidecadal variability of the Atlantic ITCZ
,”
Environ. Res. Lett.
15
,
054013
(
2020
).
69.
T. M.
Lenton
,
H.
Held
,
E.
Kriegler
,
J. W.
Hall
,
W.
Lucht
,
S.
Rahmstorf
, and
H. J.
Schellnhuber
, “
Tipping elements in the Earth’s climate system
,”
Proc. Natl. Acad. Sci. U.S.A.
105
,
1786
1793
(
2008
).
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