Tigrayan fighters had marched into the regional capital, Mekelle, hours after beleaguered Ethiopian soldiers quit the city. The city airport was shut, so the only way out of Tigray was on a slow-moving U.N. convoy that took the same desolate route out as the fleeing Ethiopian soldiers.

We drove down a rocky escarpment on a road scarred by tank tracks. As we descended into the plains of Afar, the temperature quickly rose.

publicized the flight but made no mention of the delays or harassment — an omission that privately angered several U.N. officials and other aid workers who said it followed a pattern of U.N. agencies being unwilling to publicly criticize the Ethiopian authorities.

Further complicating the aid effort: The war is now spilling into Afar.

In the past week Tigrayan forces have pushed into the region. In response Mr. Abiy mobilized ethnic militias from other regions to counter the offensive.

Mr. Abiy has also resorted to increasingly inflammatory language — referring to Tigrayan leaders as “cancer” and “weeds” in need of removal — that foreign officials view as a possible tinder for a new wave of ethnic violence across the country.

Ms. Billene, his spokeswoman, dismissed those fears as “alarmist.” The Ethiopian leader had “clearly been referring to a terrorist organization and not the people of Tigray,” she said.

Inside Tigray, the most pressing priority is to reopen the road to Afar.

“This is a desperate, desperate situation,” said Lorraine Sweeney of Support Africa Foundation, a charity that shelters about 100 pregnant women displaced by fighting in the Tigrayan city of Adigrat.

Ms. Sweeney, who is based in Ireland, said she had fielded calls from panicked staff members appealing for help to feed the women, all of whom are at least eight months pregnant.

“It brings me back to famine times in Ireland,” Ms. Sweeney said. “This is crazy stuff in this day and age.”

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In Nagorno-Karabakh, Land Mines, Bulldozers and Lingering Tensions

When I came to Nagorno-Karabakh after the war last year, the sight of a hillside Armenian military cemetery brought to my mind the layers of tragedy embedded in this land.

After returning in June, I left wondering just how much heartbreak a patch of earth can bear.

In Shusha last October, I stepped into the concrete basement of an apartment block, where Armenian women were sheltering on flattened cardboard boxes. They thought they had known what war was like, one said, recalling the 1990s conflict. But the enormous firepower of modern weapons was different, “a horror, a horror.”

Back then, as Communism collapsed, the former Soviet republics of Armenia and Azerbaijan went to war over Nagorno-Karabakh — an area mostly populated by Armenians within the internationally recognized borders of Azerbaijan. Armenia won that war, leaving about one-seventh of Azerbaijan’s territory under Armenian control.

As international efforts to mediate the conflict failed, and Azerbaijan’s oil and gas riches boomed, the country invested in modern drones from Israel and Turkey. By the time Azerbaijan attacked last September, its military, supported by Turkey, was overpowering compared with that of poorer and smaller Armenia.

When I returned last month to the Shusha apartment block, it was gone, razed to bare, brown ground. The area will become part of a new “streetscape,” the British architect, Adrian Griffiths, told me.

Rather than allow the Azerbaijanis to simply return to their homes, President Ilham Aliyev, the country’s authoritarian ruler, wants to rebuild Shusha as Azerbaijan’s cultural capital. About 15,000 people, mainly Azerbaijanis, lived there before the 1990s war; until last fall, there were roughly 5,000 Armenian residents.

The striking hilltop city was a cradle of Azerbaijani music and poetry in the 19th century, though Armenians also see it as core to their historical identity.

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Flooding Recedes in Europe, but Death Toll Rises and Questions Mount

an ambitious proposal to cut carbon emissions, how will those who hope to succeed Chancellor Angela Merkel respond?

If only because of their sheer scale, analysts say, the floods are likely to play a significant role for voters when they go to the polls on Sept 26 to replace Ms. Merkel, who has led the country for 16 years.

The death toll in Germany climbed to at least 143 on Saturday, while the toll across the border in Belgium stood at 27, its national crisis center said. The count rose most sharply in Germany’s Ahrweiler district in Rhineland-Palatinate State, where the police said that more than 90 people had died. The authorities feared that number could yet grow.

In Germany, Europe’s largest economy and a country that prides itself on its sense of stability, the chaos wrought by nature was likely to reverberate for months, if not years.

But on Saturday, residents and rescue workers in flood-hit areas faced the more immediate and daunting task of clearing piles of debris, unclogging roads and salvaging some of the homes that had survived the deluge.

Hundreds of people remain unaccounted for, but officials have struggled to offer precise numbers.

Electricity and telephone services remain inaccessible in parts of Germany, and some roads are still impassable. That lack of access may account for the high tallies of those still considered missing. And some of those who are not accounted for could simply be away, on vacation or work assignment. In Belgium, police officers started knocking on doors to try to confirm the whereabouts of residents.

Still, officials said they expected to find additional victims.

Extreme downpours like the ones that hit Germany are one of the most visible signs that the climate is changing as a result of global warming from greenhouse gas emissions. Studies have shown a warmer atmosphere can hold more moisture, generating more rainfall.

Floods of this size have not been seen in 500 or even 1,000 years, according to meteorologists and German officials.

Rhineland-Palatinate was one of the two hardest-hit German states in the west, along with North Rhine-Westphalia. The Rhine River flows through the two regions, and the rain fell so rapidly that it engorged even small streams and tributaries not typically considered flood threats.

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Germany’s president, Frank-Walter Steinmeier, traveled on Saturday to the town of Erftstadt, southwest of Cologne, where the flooding destroyed homes. Ms. Merkel planned to travel on Sunday to Schuld in Rhineland-Palatinate, which was badly hit, even as all of its 700 residents managed to survive.

There were scenes of devastation from all around Western Europe, the floods having caused damage from Switzerland to the Netherlands. But Germany was hardest hit.

Days before roiling waters tore through western Germany, a European weather agency had issued an extreme flood warning, as models showed that storms would send rivers surging to levels that had not been seen in hundreds of years.

The warnings, however, did little good.

Though Germany’s flood warning system, a network of sensors that measure river levels, functioned as it was supposed to, state and local officials said the amount of rain was unlike anything they had ever seen, causing even small streams and rivers to flood their banks.

Survivors and officials said many areas were caught unprepared as normally placid brooks and streams turned into torrents that swept away cars, houses and bridges. About 15,000 police officers, soldiers and emergency service workers have been deployed in Germany to help with the search and rescue.

Dr. Linda Speight, a hydrometeorologist at the University of Reading in Britain who studies how flooding occurs, blamed poor communication about the high risk posed by the flooding as contributing to the significant loss of life. “There should not have been so many deaths from this event,” she said.

Residents cleaned up mud and debris in Bad Münstereifel’s town center on Saturday.
Credit…Gordon Welters for The New York Times

Residents returning home, only to find their homes no longer there. Roads submerged by landslides. Loved ones still unaccounted for.

As the weather improved on Saturday and rescue workers searched for missing residents, many people in flood-hit areas of Germany were trying to re-establish some order amid the chaos and destruction.

Friends and relatives mobilized to help, maneuvering around blocked roads and washed-out bridges. Crushed cars and mounds of ruined goods were carted away, or piled by the side of muddied, cracked roads.

Many expressed amazement at how so much could have been destroyed so quickly. For Lisa Knopp, 19, who was helping to empty the flood-ruined basement of her grandmother’s home in Sinzig, a small town between the Rhine and Ahr rivers, the scenes of destruction “will stay with me a long time.”

Kim Falkenstein said her mother lost her home in Ahrweiler, one of the hardest-hit spots. Ms. Falkenstein, who was born in Ahrweiler and now lives in New York, said several friends had also lost their homes, and a classmate had died.

“I am heartbroken,” she said.

“Seeing my city being destroyed, people who I am close with losing their existence, and knowing I will never return to something I once called home,” Ms. Falkenstein said, “gives me goose bumps.”

In a country that is among Europe’s most prosperous, where orderliness is highly prized, many Germans were unnerved by the helplessness wrought by nature.

Bertrand Adams, a local official in Trier-Ehrang, a town in western Germany, stared in disbelief at the swirling waters only now receding from his community.

“It is beyond anything that could ever be imagined,” he told ZDF television. “We have a very good flood protection system that we developed only five years ago. We were so certain that nothing can go wrong.”

Daniela Schmitz, who has a ranch in Erftstadt, a town southwest of Cologne, was relieved that her property was not destroyed by the floods and that her horses had been evacuated. Others, she said, weren’t that fortunate.

“We were warned early enough — other stables are not doing so well,” she wrote in a WhatsApp message. “Many animals have drowned, entire stalls destroyed, and feed is becoming scarce. The conditions are really catastrophic in many places.”

On Saturday, German television channels carried wall-to-wall coverage of the flooding, as rescue workers continued searching for those who had been trapped by rising waters, with 143 confirmed dead in Germany and hundreds still missing.

As the official response picked up speed on Saturday, electricity, water and internet coverage were slowly being restored. Hundreds of police, fire and emergency vehicles crammed the roads into the most afflicted areas of Rhine-Palatinate and North Rhine-Westphalia.

A man in front of his damaged restaurant in Bad Münstereifel, Germany, on Saturday. The floods revealed deep political divides around how far and fast Germans should go to stem carbon use.the globe’s most ambitious proposals yet to cut carbon emissions, has revealed deep political divides on climate policy.</p>
<p class=“For a long time, chatting about the weather was synonymous with triviality. That’s over now,” Germany’s ARD public television said in its lead editorial on Friday. “The weather is highly political; there is hardly any nonpolitical weather anymore, especially not during an election campaign.”

The shift in the debate comes as the European Union has announced an ambitious blueprint to make the 27-country bloc carbon-neutral by 2050. No European country may be affected more than Germany, the continent’s largest economy.

Armin Laschet, 60, the conservative governor of North Rhine-Westphalia, who is looking to succeed Ms. Merkel in the Sept. 26 election, has lauded his regional government for passing legislation on climate change. But critics point to the open-pit soft coal mines operating in his state and his repeated emphasis on the importance of Germany remaining an industrial powerhouse.

Pressed in a television interview on whether the floods would prompt him to alter his climate policy, Mr. Laschet snapped at the moderator.

“I am a governor, not an activist,” he said. “Just because we have had a day like this does not mean we change our politics.”

Yet floods have a history of influencing political campaigns in Germany. In 2002, pictures of Chancellor Gerhard Schröder wading in rubber boots through streets awash in the muddy waters of the swollen Elbe, while his conservative rival remained on vacation, are credited with helping him win the election that year.

Perhaps wary of that lesson, Annalena Baerbock, the Greens party candidate for chancellor and Mr. Laschet’s strongest rival, cut short her vacation to visit stricken areas in Rhineland-Palatinate on Friday.

She called for immediate assistance for those affected, but also issued an appeal to better protect “residential areas and infrastructure” from extreme weather events, which she linked to the changing climate.

Whether the flooding will be enough to lift the party remains to be seen. After the Greens enjoyed an initial surge of excitement — Ms. Baerbock is the only woman running to replace the country’s first female chancellor — support for the party has dipped to around 20 percent in polls.

That puts the Greens in second place behind Mr. Laschet’s conservatives, who have been climbing to around 30 percent support, the latest surveys show.

Olaf Scholz, 63, Ms. Merkel’s finance minister who is also running for the chance to replace her and return his Social Democratic Party to the chancellery, headed on Friday to flooded regions in Rhineland-Palatinate, where he pledged swift help from the government and linked the disaster to climate change.

“I am firmly convinced that our task is stopping human-made climate change,” Mr. Scholz told ZDF public television.

The Lebenshilfe Haus, where 12 people died.
Credit…Thomas Frey/DPA, via Associated Press

They were disabled residents of a care home, the Lebenshilfe Haus, asleep when the waters of the flash flood suddenly rose early Thursday morning. Trapped on the first floor, they drowned before aid could arrive.

As calamitous floods hit Germany, the deaths of 12 people at a care home in Sinzig, a small town between the Rhine and Ahr rivers, have broken hearts all over the country and demonstrated how tragedy could have been avoided had flood warnings been better heeded.

“Every person who dies is a tragedy,” said Tabera Irrle, 23, a train driver who came to Sinzig to help with the cleanup. “But this is a special sadness.”

Neighbors could hear screaming, they said later, but all that emergency workers could do was save the other 24 residents on higher floors some three hours later, bringing them out the windows in small boats. The disabled residents had been under the care of a lone watchman.

Dominik Gasper, 17, was helping his parents and uncle clean out the mud and ruined belongings of his grandparents’ house near the care home. He knew about the 12 dead, he said.

“It was so horrible,” he said. “You can’t really understand such a thing.”

The waters crested in Sinzig at more than 7 meters, about 23 feet, the highest in a century, said Andreas Geron, the mayor. He said emergency workers in fire trucks had tried to warn residents late Wednesday night, but few said they had heard an alarm.

Two other Sinzig residents died in this town of 20,000, and a newly renovated bridge over the Ahr collapsed.

Luis Rufino, 50, a lifelong resident of Sinzig, was angry about what happened. He said some of it could have been prevented.

“Our health system is better than in the U.S., but they are still trying to avoid costs,” he said. “So there was only one guy watching over these poor people, and when the lights went out, they went into a panic, and when the flood came through, they had no chance.”

Ulrich van Bebber, the chairman of Lebenshilfe, which has operated the care home since it was built 27 years ago, told journalists that “we are all horrified, stunned and infinitely sad.”

He said those who survived were being cared for. “We want to keep the Lebenshilfe Haus as a residential facility and, if necessary, rebuild it.”

Chancellor Angela Merkel of Germany on a visit to Washington this week.
Credit…Doug Mills/The New York Times

Usually a national leader faced with floods as severe as those in Germany would be expected to break off whatever she was doing and rush to the crisis area.

But Chancellor Angela Merkel of Germany completed an official visit to Washington that ended Friday, and she was not expected to visit the flood zone until Sunday, long after most other German political leaders had come and gone. (Saturday was also her 67th birthday.)

Ms. Merkel did express from Washington her sympathy to the victims, saying during an appearance with President Biden on Thursday: “My heart goes out to all of those who, in this catastrophe, lost their loved ones or who are still worrying about the fate of people still missing.”

And hours after touching down in Germany on Friday morning, Ms. Merkel took part in a crisis meeting with leaders of the state of Rhineland Palatinate, where many of the hardest-hit communities are. She also spoke by telephone with Armin Laschet, the leader of North Rhine Westphalia, which also suffered major devastation and loss of life.

Mr. Laschet — who, like Ms. Merkel, is a member of the conservative Christian Democratic Union party — is the party’s candidate to succeed her after the country holds elections in September.

So far Ms. Merkel has not faced major criticism for taking several days to see the damage for herself. She has never been one for political theater, and does not need to worry about opinion polls because she is stepping down from politics after the elections.

Germans also seemed to understand the importance of her trip to Washington — probably her last as chancellor — and meetings with Mr. Biden.

Germany is anxious to repair its relationship with the United States, a crucial ally and trading partner, after four tense years of dealing with President Donald J. Trump, who treated Germany like a rival and threatened to impose punitive tariffs on German cars. At a news conference with Mr. Biden on Thursday, Ms. Merkel seemed almost buoyant to be dealing with a new administration.

“We’re not only partners and allies, but we’re very close friends,” she said of Mr. Biden.

Addressing an underlying cause of Western Europe’s worst floods in centuries, the two leaders signed a pact to take “urgent action to address the climate crisis.”

“There is a dramatic increase in such unusual weather phenomena, and we have to contend with this,” Ms. Merkel said while standing alongside Mr. Biden.

Huge cleanup efforts were underway after days of flooding inundated parts of Western Europe this week.

President Frank-Walter Steinmeier of Germany, left, and Armin Laschet, governor of North Rhine-Westphalia, speaking with rescue workers in Erftstadt.
Credit…Marius Becker/EPA, via Shutterstock

President Frank-Walter Steinmeier of Germany on Saturday visited the city of Erftstadt, where floods had ripped away homes, setting off a landslide that wrought further destruction.

An entire stretch of highway remained submerged there on Saturday as fears mounted that people who had tried to flee this week’s torrential rains could have been trapped in their cars by flash flooding — and may still be found when the waters recede.

Already, at least 43 people are known to have died.

Mr. Steinmeier, who is seeking a second term in office after his current one ends in February, urged Germans to help in any way they could.

“Many people in this region have nothing left but hope,” Mr. Steinmeier said. “And we cannot disappoint these hopes.”

A president’s role in Germany is largely ceremonial, but in times of national tragedy or crisis, the head of state often helps set the tone and serve as a representative of the people.

Mr. Steinmeier was joined by Armin Laschet, governor of North Rhine-Westphalia, home to Erftstadt, and the leading candidate to succeed Chancellor Angela Merkel when Germans vote for a new government in the fall.

Ms. Merkel planned to travel on Sunday to the town of Schuld (not Stuhr as an earlier version of this item said) in Rhineland-Palatinate.

The main road in the city center of Bad Münstereifel, in the western state of Rhineland-Palatinate in Germany, on Saturday.
Credit…Gordon Welters for The New York Times

Extreme weather disasters across Europe and North America have highlighted two essential facts of science and history: The world as a whole is neither prepared to slow down climate change, nor live with it.

Some of Europe’s richest countries lay in disarray this weekend, as rivers burst through banks in Germany and Belgium, leaving people shellshocked at the intensity of the destruction.

Days before in the Northwestern United States, hundreds had died of heat. In Canada, wildfire had burned a village off the map. Moscow reeled from record temperatures. And the northern Rocky Mountains were bracing for another heat wave.

The events have ravaged some of the world’s wealthiest nations, whose affluence has been enabled by more than a century of burning coal, oil and gas — activities that pumped the greenhouse gases into the atmosphere that are warming the world.

“I say this as a German: The idea that you could possibly die from weather is completely alien,” said Friederike Otto, a physicist at Oxford University who studies the links between extreme weather and climate change. “There’s not even a realization that adaptation is something we have to do right now. We have to save peoples’ lives.”

Disasters magnified by global warming have left a trail of death and loss across much of the developing world, wiping out crops in Bangladesh, leveling villages in Honduras and threatening the very existence of small island nations.

A big question is whether the disasters in the developed world will have a bearing on what the world’s most influential countries and companies will do to reduce their own emissions of planet-warming gases.

“This tragic event is a reminder that, in the climate emergency, no one is safe,” Mohamed Nasheed, the former president of the Maldives, said in a statement about the flooding.

Part of the historic center of Prague was underwater in August 2002.
Credit…Agence France-Presse — Getty Images

The floods devastating Europe have killed scores of people, leaving at least 1,300 missing, uprooting families, causing immense financial damage and reducing homes and cars to the state of floating bath toys. But it is not the first time the continent has been buffeted by a deluge.

Here are some of the other major lethal floods and flooding caused by storms in recent years.

Credit…Dragan Karadarevic/European Pressphoto Agency

A 7-year-old boy dead after falling ill in a flooded home in Surrey. A kayaker drowned on a swollen Welsh river. A coastal railroad ripped up by waves in Cornwall.

In a matter of months in 2014, at least 5,000 houses in Britain were damaged in what was then seen as one of the rainiest seasons in nearly 250 years. While some blamed the flooding on the austerity measures of David Cameron, the prime minister at the time, others pointed to climate change.

In May of that year, the heaviest rains and floods in 120 years hit Bosnia and Serbia, killing at least 33 people, forcing thousands out of their homes, and cutting off power in 100,000 households in Serbia, as several months’ worth of rainfall fell in a matter of days.

Credit…Armin Weigel/European Pressphoto Agency

Germany is no stranger to flooding.

In Bitterfeld, in eastern Germany, about 10,000 people were asked to leave their homes in June 2013 after a levee on the Mulde River burst, amid some of the worst flooding that some German regions had seen in centuries. More than 600 residents of Dresden were brought to safety as electricity and water services to the city’s affected center were cut off.

Chancellor Angela Merkel, now tested by the current flooding, showed her mettle at the time, touring three of the hardest-hit areas to wade through ankle-deep floodwaters and visit victims of the flood.

Credit…Philippe Huguen/Agence France-Presse

The storm was called Kyrill by German meteorologists, and it spurred unrelenting rain in Britain, Ireland, France, Belgium and the Netherlands.

The howling gale churned through the British Isles and Northern Europe, uprooting trees, shattering windows, flooding beaches and forcing the cancellation of hundreds of flights at airports from London to Frankfurt.

According to the European Environment Agency, Kyrill killed 46 people and resulted in overall losses worth 8 billion euros. At the time, it was one of the most damaging extreme weather episodes ever recorded in Europe.

The name Kyrill stemmed from a German practice of naming weather systems. Anyone may name one, for a fee, and three siblings had paid to name the system as a 65th birthday gift for their father, not realizing it would grow into a fierce storm.

Credit…Peter Schneider/Keystone, via Associated Press

Such was the deluge in Central and Southern Europe in 2005 that in the Alps, military helicopters were deployed to ferry in supplies, evacuate stranded tourists and even stranded cows in mountain pastures threatened by rising water.

The floods left dozens dead. In Romania, which was badly affected by the flooding, victims were drowned as torrents of water rushed into their homes. Austria, Bulgaria, Germany and Switzerland were also buffeted by the flooding.

The scenes of devastation were visceral and shocking. The Aare River broke through the windows of a children’s clothes shop in Bern, leaving baby strollers and toys floating in muddy water. Much of the historic old city of Lucerne remained underwater.

Meanwhile, in southern Poland, rivers broke their banks and at least seven bridges collapsed.

Credit…Sean Gallup/Getty Images

In 2002, some of the worst rains since 1890 pelted the Czech Republic, putting part of the historic center of Prague underwater and resulting in 50,000 residents being ordered to evacuate, as rivers swelled by near constant rain.

The death toll from the floods, which ravaged East and Central Europe, including Germany and Austria, and southern Russia, was more than 110. The flooding caused billions of dollars’ worth of damage.

The management of the crisis by Germany’s chancellor, Gerhard Schröder, helped propel him to re-election.

In Austria, the Salzach River burst its banks south of Salzburg and threatened to inundate the city at the height of its famous summer festival, forcing the authorities to close most bridges and major roads.

Floodwaters rose in Hungary and Germany, and in northern Austria the authorities halted river traffic on parts of the Danube.

The Ahr river overran its banks in the village of Insul, Germany.
Credit…Michael Probst/Associated Press

Was the flooding caused by climate change?

Tying a single weather event to climate change requires extensive attribution analysis, and that takes time, but scientists know one thing for sure: Warmer air holds more moisture, and that makes it more likely that any given storm will produce more precipitation.

For every 1 Celsius degree of warming, air can hold 7 percent more moisture.

On average, the world has warmed by a little more than 1 degree Celsius (about 2 degrees Fahrenheit) since the 19th century, when societies began pumping huge amounts of greenhouse gases into the atmosphere.

“Any storm that comes along now has more moisture to work with,” said Jennifer Francis, a senior scientist with the Woodwell Climate Research Center in Massachusetts. “That’s the straightforward connection to the increased frequency of heavy downpours.”

And although it is still a subject of debate, some scientists say climate change might be causing storms to linger longer.

Some studies suggest that rapid warming in the Arctic is affecting the jet stream. One consequence of that, said Hayley Fowler, a professor of climate change impacts at Newcastle University in England, is that the river of wind is weakening and slowing down at certain times during the year, including summer. That, in turn, affects weather systems farther south.

“That means the storms have to move more slowly,” Dr. Fowler said. The storm that caused the flooding was practically stationary, she noted.

The combination of more moisture and a stalled storm system means that a lot of rain can fall over a given area.

Geert Jan van Oldenborgh, one of the primary scientists with World Weather Attribution, a group that quickly analyzes extreme weather events to see whether they were made more likely by climate change, said the group was discussing whether to study the German floods.

Beyond the speed of a weather system and its moisture content, there are many factors that affect flooding that can make an analysis difficult. Local topography has to be taken into account, as that can affect how much runoff gets into which rivers.

Human impacts can complicate the analysis even further. Development near rivers can make runoff worse by reducing the amount of open land that can absorb rain. And infrastructure built to cope with heavy runoff and rising rivers may be under-designed and inadequate.

Watching the high water in Roermond, the Netherlands, on Friday.
Credit…Vincent Jannink/EPA, via Shutterstock

While some development in cities and elsewhere can make flooding worse, other projects can reduce flooding. That appears to have been the case in the Netherlands, which was not as severely affected as neighboring Germany by this week’s storm.

After several major floods on the Meuse River in the 1990s, the Dutch government began a program called Room for the River to reduce flooding, said Nathalie Asselman, who advises the government and other clients on flood risk.

The work involved lowering and widening river beds, lowering flood plains and excavating side channels.

“The aim of these measures is to lower flood levels,” she said.

Taming water in the Netherlands, a waterlogged country, has been a matter of survival for centuries, and the imperative to keep levels under control is inextricably bound up with Dutch identity. Much of the country sits below sea level and is gradually sinking. Climate change has also exacerbated the twin threats of storms and rising tides.

While a dike near the Meuse in southern Netherlands suffered a breach that caused some flooding until it was repaired on Friday, the measures appear to have worked.

The breach, in the dike along the Juliana Canal in the southern Netherlands, was closed by the Dutch military by dumping hundreds of sandbags into the growing hole. Hours before, thousands had been told to evacuate after the dike was breached along the canal, a 22-mile waterway that regulates the Meuse River.

The river’s water level is at heights not witnessed since 1911, the Dutch national broadcaster NOS reported. Yet water levels on the Meuse were about a foot lower than would have been the case without the flood-reduction measures, Ms. Asselman said. That meant that smaller tributaries backed up less where they met the Meuse, producing less flooding.

“If we wouldn’t have implemented these measures, then the situation would have been worse,” she said. “Both on the main river and the tributaries.”

Oliver Henry, a firefighter with the U.S. Fish and Wildlife Service, after helping extinguish a small fire in Mattawa, Wash., last month.
Credit…Grant Hindsley for The New York Times

An increasingly hot, dry and deadly summer has gripped much of the Western United States, with heat claiming lives in the Pacific Northwest and Canada in record numbers, and a deepening drought threatening water supplies — all of which is setting the stage for another potentially catastrophic fire season in California and neighboring states.

A fourth major heat wave was forecast to roast parts of the region again this weekend. It comes two weeks after a record-shattering spate of high temperatures — which scientists said would been virtually impossible without climate change — killed hundreds of people in the United States and Canada.

A week ago, Death Valley hit a 130-degree high, matching a reading from last year that may be the highest reliably recorded temperature on earth. Also this past weekend, Las Vegas tied its record high, 117 degrees, and Grand Junction, Colo., topped its previous record, hitting 107 degrees.

At least 67 weather stations from Washington State through New Mexico have recorded their hottest temperatures ever this summer, the National Weather Service said this week. Those records stretched back at least 75 years.

The heat helped drive the rapid growth of a wildfire in southern Oregon, known as the Bootleg Fire, that has burned more than 240,000 acres — about a third the size of Rhode Island, America’s smallest state. The fire, the largest of dozens across the West, has destroyed about two dozen homes, threatens 1,900 more and has set off a wave of evacuations.

The fire also burned across a power line corridor that serves as a major contributor to the electrical grid in California, where officials have issued warnings this week asking residents to conserve power by turning up their thermostats and turning off appliances, or risk rolling blackouts.

One part of the West saw some relief from the crushing heat this week, as monsoon rains fell on the Southwest, including New Mexico and Arizona. But the result was yet another disaster: flash flooding that left some city streets in Arizona awash in muddy water and propelled a torrent of water through part of the Grand Canyon, washing away a camp where about 30 people on a rafting trip were spending the night, killing one.

As the Earth warms from climate change, heat waves are becoming hotter and more frequent. “And as bad as it might seem today,” Jonathan Overpeck, a climate scientist at the University of Michigan, recently told The New York Times, “this is about as good as it’s going to get if we don’t get global warming under control.”

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Live Updates: Europe Flooding Death Toll Passes 125, and Scientists See the Fingerprints of Climate Change

devastation from the floods came from all around Western Europe as the death toll passed 125 on Friday, with another 1,300 people still missing. Roads buckled and washed away. Cars piled atop one another. Houses were inundated to the roof tiles. Frightened residents were being evacuated in the shovels of earth movers.

But nowhere was affected more than Germany, where hundreds were still unaccounted for and the death toll had reached 106 and was expected to rise as rescue workers combed through the debris. At least 20 were reported dead in Belgium.

A European weather agency had issued an “extreme” flood warning after detailed models showed storms that threatened to send rivers surging to levels that a German meteorologist said on Friday had not been seen in 500 or even 1,000 years.

German officials said Friday their warning system, which includes a network of sensors that measure river levels in real time, functioned as it was supposed to. The problem, they said, was an amount of rain they had never seen before — falling so rapidly that it engorged even small streams and rivers not normally considered threats.

Extreme downpours like the ones that occurred in Germany are among the most visible and damaging signs that the climate is changing as a result of warming caused by greenhouse gas emissions. Studies have found that they are now occurring more frequently, and scientists point to a simple reason: A warmer atmosphere can hold more moisture, which creates extreme rainfall.

In Central Europe rescue efforts were hampered, with electricity and communications networks down, roads and bridges washed out, and drinking water scarce. The worst hit were thinly populated, rural areas.

In the city of Schleitheim, Switzerland, where a river burst its banks, residents recorded videos of cars being washed through the streets in a swirling flood of muddy water and debris.

Germans struggled even to grasp the scale of the calamity in their country. Chancellor Angela Merkel expressed her shock and solidarity from Washington, where she was visiting the White House. Politicians of all stripes called for a truce in the German election campaign. The focus was on how to deal with a disaster that was growing by the hour, with thousands left homeless, in addition to the missing.

In Belgium, the Meuse river overflowed its banks, flooding villages and the center of Liège, leaving thousands without power. The official death toll stands at 20 dead and 20 missing, the authorities said.

“We are still waiting for the final assessment, but these floods could have been the most disastrous that our country has ever known,” Alexander De Croo, Belgium’s prime minister said on Friday.

Relatives of those missing grappled with the fear of the unknown. The authorities in the Ahrweiler district of Rhineland-Palatinate said late Thursday that 1,300 people remained unaccounted for in their region, where the Ahr river swelled to an angry torrent late Wednesday, ripping through the towns and villages that hugged its banks.

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One of the places in Germany hardest hit by the flooding was tiny Schuld, where the destruction arrived with remarkable speed in the once-tidy village. After the river swelled, vehicles bobbed like bath toys, six houses collapsed and half of those that remained standing had gaping holes torn by floating debris.

“It went so fast. You tried to do something, and it was already too late,” a resident of Schuld told Germany’s ARD public television.

At least 50 people were confirmed dead in the Ahrweiler district, where torrents of water rushed through towns and villages, washing away cars, homes and businesses.

In Sinzig, a town in the district, efforts to evacuate a care home for people with severe disabilities came just moments before the gushing waters swept through the lower levels, killing 12 of the residents.

A church and cemetery after flooding in Bad Neuenahr-Ahrweiler, Germany.
Credit…Friedemann Vogel/EPA, via Shutterstock

BERLIN — Days before roiling waters tore through western Germany, a European weather agency issued an “extreme” flood warning after detailed models showed storms that threatened to send rivers surging to levels that a German meteorologist said on Friday had not been seen in 500 or even 1,000 years.

By Friday those predictions proved devastatingly accurate, with at least 125 people dead and 1,300 unaccounted for, as helicopter rescue crews plucked marooned residents from villages inundated sometimes within minutes, raising questions about lapses in Germany’s elaborate flood warning system.

Numerous areas, victims and officials said, were caught unprepared when normally placid brooks and streams turned into torrents that swept away cars, houses and bridges and everything else in their paths.

“It went so fast. You tried to do something, and it was already too late,” a resident of Schuld told Germany’s ARD public television, after the Ahr River swelled its banks, ripping apart tidy wood-framed houses and sending vehicles bobbing like bath toys.

Extreme downpours like the ones that occurred in Germany are one of the most visible signs that the climate is changing as a result of warming caused by greenhouse gas emissions. Studies have shown a warmer atmosphere can hold more moisture, generating more, and more powerful, rainfall.

The floods that cut a wide path of destruction this week through Germany, Belgium, Switzerland and the Netherlands were bigger than any on record, according to meteorologists and German officials.

German officials said Friday their warning system, which includes a network of sensors that measure river levels in real time, functioned as it was supposed to. The problem, they said, was an amount of rain they had never seen before — falling so rapidly that it engorged even small streams and rivers not normally considered threats.

To describe the events of recent days as a 100-year flood would be an understatement, said Uwe Kirsche, a spokesman for the German Weather Service.

“With these small rivers, they have never experienced anything like that,” Mr. Kirsche said. “Nobody could prepare because no one expected something like this.”

On Tuesday, Felix Dietsch, a meteorologist for the German Weather Service, went on YouTube to warn that some areas of southwest Germany could receive previously unimaginable volumes of rain.

The weather service, a government agency, assigned its most extreme storm warning, code purple, to the Eifel and Mosel regions, one of numerous government warnings issued on Twitter and other media earlier this week and transmitted to state and local officials.

But the waters rose so swiftly that some communities’ response plans were insufficient while others were caught off guard entirely.

Medard Roth, the mayor of Kordel, in the hard-hit state of Rhineland-Palatinate, said that he activated his town’s emergency flood response once Kyll River approached dangerous water levels. But the waters rose too rapidly to be held back by the usual measures.

“By 6 p.m., everything was already under water,” Mr. Roth told Bild, a German newspaper. “Nobody could have predicted that.”

Ursula Heinen-Esser, the environment minister for the state of North Rhine-Westphalia, said on Friday that floodwaters had reached “levels never before recorded.”

The German flood warning system leaves it up to local officials to decide what action to take, on the theory that they are best informed about local terrain and what people or property lies in the path of an overflowing river.

In the Ahrweiler district of neighboring Rhineland-Palatinate, regional officials issued their first warning to residents living near the banks of the river as it approached its record level of 3 meters, or nearly 10 feet. Three hours later, a state of emergency was declared.

By that time, many people had fled to the upper levels of their homes, and those who could not move fast enough died, including 12 handicapped people in an assisted living home in Sinzig.

“The warnings arrived,” Mr. Kirsche of the German Weather Service said. “But the question is why didn’t evacuations take place sooner? That’s something we have to think about.”

The bridge over the Ahr River in Müsch was destroyed in this week’s flooding.
Credit…Steven Erlanger/The New York Times

MÜSCH, Germany — The bridge that spans the River Ahr washed away last night at around 10:00, said Michael Stoffels, 32, whose own house got flooded by about 12 feet of water.

Müsch, a village of 220 people at the junction of the Ahr and Trierbach rivers, was clobbered by the flash floods that have inundated this part of Germany. Only one person has died, but Müsch on Friday evening was without electricity, running water or cellphone coverage.

Residents and their friends were trying to clean up their battered homes, cracked streets and ruined cars. Local firefighters, like Nils Rademacher, 21, were managing the traffic of bulldozers, small trucks and backhoes, while instructing drivers that roads farther into the river valley were blocked with trees or made impassable by fallen bridges.

“A lot of good cars crashed or got crushed,’’ said Maria Vazquez, who works in a nearby auto repair shop. “I work with cars, so that’s sad, but I just hope that all the people are OK.”

The water rose to flood the village in less than two hours on Wednesday, and came halfway up the houses, Ms. Vazquez said.

The riverbanks were scenes of devastation, with crushed cars and thick tree stumps, while many of the cobbled streets were covered with mud and debris. Truckloads of broken furniture, tree branches and chunks of stone were being driven slowly over downed power lines.

The yellow road sign that tells drivers that they have entered Müsch was pulled out of the ground, laying bent and nearly adrift in the Trierbach River.

Mr. Stoffels said that he had no warning from the government, but that he rushed home from the retail store he manages nearby when a neighbor called. He was lucky, he said, since he has storage on the ground level and his living area is above that. The children’s playground next to his home, along the Ahr, was shattered, as was the main village electrical station, even before the bridge washed away.

He and his brother, who traveled 100 miles to help, and his friends, all wearing boots and muddy clothes, were trying to clean up as best they could. It helped, he said, that Müsch, in the Ahrweiler District of Rhineland-Palatinate close to the border with North Rhine-Westphalia, is farming country.

“Nearly everyone has a small tractor or a bulldozer of some kind,’’ he said. And it was true — the local firefighters were there, but there was little government presence, residents said. On Thursday, Mr. Stoffels said, “a couple of soldiers came for a time and a policeman looked around.”

Not far away, larger villages and towns were devastated, and more than 1,000 people are reported missing by the authorities.

Roger Lewentz, Rhineland-Palatinate’s interior minister, was unable to give an exact number of missing in his state.

“We do not yet know for sure whether some of them may be on vacation or simply unavailable. After all, the power and telephone connections are down in many affected locations,” he told Der Spiegel.

“There haven’t been floods like this here in 100 years,’’ said Sebastian Stich, 28, an office worker from nearby Barweiler who came to help his neighbors. “The bridges, the power, it’s all gone.’’

Part of the historic center of Prague, Czech Republic, was underwater in August 2002.
Credit…Agence France-Presse — Getty Images

The floods devastating Europe have killed scores of people, leaving at least 1,300 missing, uprooting families, causing massive financial damage and reducing homes and cars to the state of floating bath toys. But it is not the first time the continent has been buffeted by a deluge. Here are some of the other major lethal floods and flooding caused by storms in recent years:

Credit…Dragan Karadarevic/European Pressphoto Agency

A 7-year-old boy dead after falling ill in a flooded home in Surrey. A kayaker drowned on a swollen Welsh river. A coastal railroad ripped up by waves in Cornwall. In a matter of months in 2014, at least 5,000 houses in Britain were damaged in what was then seen as one of the rainiest seasons in nearly 250 years. While some blamed the flooding on the austerity measures of David Cameron, the prime minister at the time, others pointed to climate change. In May of that same year, the heaviest rains and floods in 120 years hit Bosnia and Serbia, killing at least 33 people, forcing thousands out of their homes, and cutting off power in 100,000 households in Serbia, as several months’ worth of rainfall fell in a matter of days.

Credit…Armin Weigel/European Pressphoto Agency

Germany is no stranger to flooding. In Bitterfeld, in eastern Germany, some 10,000 people were asked to leave their homes in June 2013 after a levee on the Mulde River burst, amid some of the worst flooding that some German regions had seen in centuries. More than 600 residents of Dresden were brought to safety as electricity and water services to the city’s affected center were cut off. Chancellor Angela Merkel, now tested by the current flooding, showed her mettle at the time, touring three of the hardest hit areas to wade through ankle-deep floodwaters and visit victims of the flood.

Credit…Philippe Huguen/Agence France-Presse

The storm was called Kyrill by German meteorologists, and it spurred unrelenting rain in Britain, Ireland, France, Belgium and the Netherlands. The howling gale churned through the British Isles and Northern Europe, uprooting trees, shattering windows, flooding beaches and forcing the cancellation of hundreds of flights at airports from London to Frankfurt. According to the European Environment Agency, Kyrill killed 46 people and resulted in overall losses worth 8 billion euros. At the time, it was one of the most damaging extreme weather episodes ever recorded in Europe. The name Kyrill stemmed from a German practice of naming weather systems. Anyone may name one, for a fee, and three siblings had paid to name the system as a 65th birthday gift for their father, not realizing it would grow into a fierce storm.

Credit…Peter Schneider/Keystone, via Associated Press

Such was the deluge in Central and Southern Europe in 2005 that in the Alps, military helicopters were deployed to ferry in supplies, evacuate stranded tourists and even stranded cows in mountain pastures threatened by rising water. The floods left dozens dead. In Romania, which was badly affected by the flooding, victims were drowned as torrents of water rushed into their homes. Austria, Bulgaria, Germany and Switzerland were also buffeted by the flooding. The scenes of devastation were visceral and shocking. The Aare River broke through the windows of a children’s clothes shop in Bern, leaving baby strollers and toys floating in muddy water. Much of the historic old city of Lucerne remained underwater. Meanwhile, in southern Poland, rivers broke their banks and at least seven bridges collapsed.

Credit…Sean Gallup/Getty Images

In 2002, some of the worst rains since 1890 pelted the Czech Republic, putting part of the historic center of Prague underwater and resulting in 50,000 residents being ordered to evacuate, as rivers swelled by near constant rain. The death toll from the floods, which ravaged East and Central Europe, including Germany and Austria, and southern Russia, was more than 110. The flooding caused billions of dollars worth of damage. The floods helped propel Germany’s chancellor, Gerhard Schröder, to re-election because of his management of the crisis. In Austria, the Salzach River burst its banks south of Salzburg and threatened to inundate the city at the height of its famous summer festival, forcing the authorities to close most bridges and major roads. Floodwaters rose in Hungary and Germany, and in northern Austria the authorities halted river traffic on parts of the Danube.

The Ahr river overran its banks in the village of Insul, Germany. 
Credit…Michael Probst/Associated Press

Was the flooding caused by climate change?

Tying a single weather event to climate change requires extensive attribution analysis, and that takes time, but scientists know one thing for sure: Warmer air holds more moisture, and that makes it more likely that any given storm will produce more precipitation.

For every 1 Celsius degree of warming, in fact, air can hold 7 percent more moisture.

On average, the world has warmed by a little more than 1 degree Celsius (about 2 degrees Fahrenheit) since the 19th century, when societies began pumping huge amounts of greenhouse gases into the atmosphere.

“Any storm that comes along now has more moisture to work with,” said Jennifer Francis, a senior scientist with the Woodwell Climate Research Center in Massachusetts. “That’s the straightforward connection to the increased frequency of heavy downpours.”

And, although it is still a subject of debate, some scientists say climate change might be causing storms to linger longer.

Some studies suggest that rapid warming in the Arctic is affecting the jet stream. One consequence of that, said Hayley Fowler, a professor of climate change impacts at Newcastle University in England, is that the river of wind is weakening and slowing down at certain times during the year, including summer. And that, in turn, affects weather systems farther south.

“That means the storms have to move more slowly,” Dr. Fowler said. The storm that caused the flooding was practically stationary, she noted.

The combination of more moisture and a stalled storm system means a lot of rain can fall over a given area.

Geert Jan van Oldenborgh, one of the primary scientists with World Weather Attribution, a group that quickly analyzes specific extreme weather events to see whether they were made more likely, or not, by climate change, said the group was discussing whether they would study the German floods.

Beyond the speed of a weather system and its moisture content, there are many factors that affect flooding that can make an analysis difficult. Local topography has to be taken into account, as that can affect how much runoff gets into which rivers.

Human impacts can complicate the analysis even further. Development near rivers, for instance, can make runoff worse by reducing the amount of open land that can absorb rain. Infrastructure built to cope with heavy runoff and rising rivers may be under-designed and inadequate.

Oliver Henry, a firefighter with the U.S. Fish and Wildlife Service, after helping extinguish a small fire in Mattawa, Wash., last month.
Credit…Grant Hindsley for The New York Times

An increasingly hot, dry and deadly summer has gripped much of the Western United States, with heat claiming lives in the Pacific Northwest and Canada in record numbers, and a deepening drought threatening water supplies — all of which is setting the stage for another potentially catastrophic fire season in California and neighboring states.

A fourth major heat wave was forecast to roast parts of the region again this weekend. It comes two weeks after a record-shattering spate of high temperatures — which scientists said would been virtually impossible without climate change — killed hundreds of people in the United States and Canada.

A week ago, Death Valley hit a 130-degree high, matching a reading from last year that may be the highest reliably recorded temperature on earth. Also this past weekend, Las Vegas tied its record high, 117 degrees, and Grand Junction, Colo., topped its previous record, hitting 107 degrees.

At least 67 weather stations from Washington State through New Mexico have recorded their hottest temperatures ever this summer, the National Weather Service said this week. Those records stretched back at least 75 years.

The heat helped drive the rapid growth of a wildfire in southern Oregon, known as the Bootleg Fire, that has burned more than 240,000 acres — about a third the size of Rhode Island, America’s smallest state. The fire, the largest of dozens across the West, has destroyed about two dozen homes, threatens 1,900 more and has set off a wave of evacuations.

The fire also burned across a power line corridor that serves as a major contributor to the electrical grid in California, where officials have issued warnings this week asking residents to conserve power by turning up their thermostats and turning off appliances, or risk rolling blackouts.

One part of the West saw some relief from the crushing heat this week, as monsoon rains fell on the Southwest, including New Mexico and Arizona. But the result was yet another disaster: flash flooding that left some city streets in Arizona awash in muddy water and propelled a torrent of water through part of the Grand Canyon, washing away a camp where about 30 people on a rafting trip were spending the night, killing one.

As the Earth warms from climate change, heat waves are becoming hotter and more frequent. “And as bad as it might seem today,” Jonathan Overpeck, a climate scientist at the University of Michigan, recently told The New York Times, “this is about as good as it’s going to get if we don’t get global warming under control.”

The overflowing Meuse River near Aasterberg, the Netherlands, on Friday.
Credit…Sem Van Der Wal/EPA, via Shutterstock

A breach in the dike along the Juliana Canal in the southern Netherlands on Friday was closed by the Dutch military by dumping hundreds of sandbags into the growing hole. Hours before, thousands had been told to evacuate after the dike was breached along the canal, a 22-mile waterway that regulates the Meuse River.

The river’s water level is at heights not witnessed since 1911, the Dutch national broadcaster NOS reported.

That is no small thing is a water-logged country where taming water has been a matter of survival for centuries and the imperative to keep levels under control is inextricably bound up with Dutch identity. Much of the country sits below sea level and is gradually sinking. Climate change has also exacerbated the twin threats of storms and rising tides.

Residents of the villages of Brommelen, Bunde, Geulle and Voulwames were ordered to evacuate immediately, after initially being told to move to higher floors in their homes. About 10,000 people live in the area.

The local authorities said there was “a large hole” in the dike, prompting fears that the entire area would be flooded. While parts of the area were flooded, a disaster was averted after the breach was closed. NOS said the dike was still unstable and continued to be monitored.

Upriver, near the city of Venlo, evacuations were ordered for whole neighborhoods and surrounding villages, in total 10,700 people and 7,100 houses, the municipality said in a tweet. People have until 6 p.m. local time to leave their homes.

Record water levels are moving through the Meuse River, prompting evacuations and fresh inspections of dikes along the river that empties into the North Sea. The river is a key waterway for European shipping connections.

Following flooding in recent decades, the Dutch authorities have designated special areas that can be flooded with excess water when critical levels are reached.

The Netherlands has so far been spared much of the death and destruction that this week’s flooding has caused in Germany and Belgium. But in Valkenburg, a city in the south of the Netherlands with about 16,000 residents, damage was severe. Hundreds of houses were without power, and the center of the city was flooded.

“The damage is incalculable,” Mayor Daan Prevoo of Valkenburg told the Algemeen Dagblad newspaper. He predicted that repairs would take weeks.

Rowing a boat down a flooded residential street in Angleur, on the outskirts of Liège, Belgium, on Friday.
Credit…Valentin Bianchi/Associated Press

In Liège, Belgium’s third-largest city, much of the early panic eased on Friday as residents said the waters of the Meuse river seemed to recede, at least a bit.

Fears that a major dam might break led the mayor to call for parts of the city to be evacuated late Thursday. But on Friday, people were allowed back, though they were told to stay away from the river, which was still lapping over its banks.

“The situation is now under control, and people can return to their homes,” Laurence Comminette, the spokeswoman for the mayor, said in an interview. “Of course not everyone can go back, because many homes have been destroyed. But there is no longer an imminent danger of more flooding.”

Georges Lousberg, 78, said he thought the crisis was largely over in the city. “It did not rain much today, and the weather is supposed to be better the rest of the week.”

He said there had been times when the Meuse was even higher, especially before walls were built along its banks. “The worst flooding was in 1926,” he said.

Prasanta Char, 34, a postdoctoral student in physics at the University of Liège, said he had been anxious about rain overnight after the mayor’s evacuation call.

He had gone looking to buy water, but had a hard time because so many stores were closed. He finally found a small convenience store in the shuttered city.

“It’s much worse in Germany, and a lot of the roads are shut and the trains are stopped,” he said, “I’m still a bit anxious about rain, but today it seems better.”

A resident cleaning the streets of Ahrweiler-Bad Neenah, Germany, after flooding on Thursday.
Credit…Christof Stache/Agence France-Presse — Getty Images

Forecasts predicting improved weather for Western Europe over the weekend offered some hope amid the deluge, potentially aiding search-and-rescue efforts in areas devastated by floods.

The heavy rain in Germany in the Ahrweiler district of Rhineland-Palatinate was forecast to let up later Friday and over the weekend, after flooding left 1,300 people unaccounted for in the region. Emergency workers put sandbags in place to stem the rising waters in the region’s remote villages, like Schuld, where heavy flows of water washed away six homes and left more close to collapse.

On Saturday and Sunday, there is about a 20 percent chance of rain in that area, and temperatures are expected to rise above 70 degrees Fahrenheit with partial sunshine later in the day, according to Weather.com. Conditions are likewise expected to improve in the state of North Rhine-Westphalia, also in western Germany, where at least 43 people have died in the flooding.

Andreas Friedrich, a meteorologist for Germany’s national weather service, said that dry, sunny weather was likely over the next few days in the western states hit by floods. The weather service has issued a warning about possible floods in the touristy area of southeastern Germany, north of the Alps, over the weekend, but conditions are not expected to be as bad as they were in the western part of the country, he said.

In Belgium, the weather is also expected to clear up over the weekend. The Royal Meteorological Institute of Belgium forecast only light rain in the hilly Ardennes region, which experienced heavy flooding over the past few days. In Liège, which was also hard hit, there was a 3 percent chance of precipitation on Saturday, according to the AccuWeather forecasting service.

Alex Dewalque, a spokesman for the meteorological institute, said water levels in the worst-hit parts of Belgium were already falling, making it easier for emergency workers to rescue stranded people and search for casualties. He said the coming days would be much drier and with warmer temperatures, and that there were no flood warnings.

More rain was expected in Switzerland’s northern Alps on Friday, however, and officials warned of more potential flooding in parts of the country. Lake Lucerne reached critical levels, forcing the closing of some bridges and roadways.

Sarah Schöpfer, a meteorologist at Switzerland’s Federal Office of Meteorology and Climatology MeteoSwiss, said she expected rainfall over the affected areas of Switzerland to lighten.

“We expect that tonight the precipitation activity weakens further and tomorrow it mainly affects the eastern Swiss Alps (mainly regions that did not get the highest amounts of rain during the last few days),” she said in an email. “So apart from the last showers today and tomorrow, the following days will be dry.”

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How Long Should It Take to Give Away Millions?

Ms. Madoff and others pushing for change see a growing gap between reputation-burnishing promises of money and distributions to people who need it. The Giving Pledge, which was started by Bill Gates, Melinda French Gates and their friend and collaborator Warren E. Buffett, gave billionaires a space where they could announce their intention to give away half their fortunes or more, often to great acclaim. But it provides no mechanism to monitor or ensure the giving actually happens.

Earlier this year, the Chronicle of Philanthropy ranked Jeffrey P. Bezos, the founder of Amazon, as the top philanthropist of 2020 because he committed $10 billion to his Bezos Earth Fund to fight climate change. But he had handed out less than one-tenth of that, $791 million, to working nonprofits like the Environmental Defense Fund and Natural Resources Defense Council.

Charitable giving has remained relatively steady for decades, clocking in at roughly 2 percent of disposable income per year, give or take a few tenths of a percent. In 1991, the year that Fidelity began to offer donor-advised funds, just 5 percent of giving went to foundations and DAFs. By 2019, the most recent year available, that figure had risen to 28 percent.

It was January 2020 when that small group gathered at the offices of the nonprofit consulting firm the Bridgespan Group in Manhattan for a wonky brainstorming session about the state of philanthropy. The group included foundation leaders, former congressional staff members, former senior Internal Revenue Service officials and a key constituency in any effort to change how billionaires give away their money: billionaires.

One of the organizers was John D. Arnold. Once a trader at Enron, the Houston energy company that infamously collapsed in 2001, Mr. Arnold later ran his own hedge fund, which made him one of the youngest billionaires in the United States.

Ms. Madoff, another leader of the initiative, has written a book, “Immortality and the Law,” about the growing legal power of dead people in America and has applied her knowledge of estate taxes and inheritance law to the rising field of philanthropy.

The group focused on the fact that most of the laws governing philanthropy were half a century old, dating back to 1969.

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A Super Blood Moon Dazzles Earthlings

Australians were among those lucky enough to see it on Wednesday evening, a rare astronomical event marked by a dazzling array of sunset colors like red and burnt orange: a “super blood moon.”

From Brazil to Alaska, California to Indonesia, people with the right view of the celestial phenomenon marveled as their moon, usually a predictable, pale, Swiss-cheese-like round in the sky, was transformed into a fierce, red giant. As one Twitter user, words failing, put it: “Man I’m in love with this urghhh.”

The striking display was the result of two simultaneous phenomena: a supermoon (when the moon lines up closer than normal to our planet and appears to be bigger than usual), combined with a total lunar eclipse, or blood moon (when the moon sits directly in the Earth’s shadow and is struck by light filtered through the Earth’s atmosphere).

“A little bit of sunlight skims the Earth’s atmosphere,” said Brad Tucker, an astrophysicist and cosmologist based at the Australian National University in Canberra, the country’s capital. He said this creates the effect of “sunrise and sunset being projected onto the moon.”

on a special flight to see the supermoon. It left Sydney about 7:45 p.m. and was to return later that evening. Vanessa Moss, an astronomer with Australia’s national science agency, CSIRO, and the guest expert on the flight, said this kind of phenomenon was exciting because it was accessible.

“You don’t need a telescope; you don’t need binoculars,” she said, adding that it was a good chance to “look up at the sky and think about our place in the universe.”

studied humanity’s relationship with space, wrote in an email.

“We wonder whether the red moon is a sign of the end of disruption and suffering, or another beginning,” he said, adding that the moon provides one of the constants in our lives. “When that’s disrupted, we temporarily lose our moorings, and for a moment we’re jostled from the world we take for granted.”

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The Best View for the Supermoon May Be on This Plane

Australians will have some of the best views of the “super blood moon” this week, but passengers on a one-time flight departing from Sydney will have an even better one.

The Australian airline Qantas will operate a three-hour flight on Wednesday (Tuesday evening in the United States) for about 100 passengers to see the moon enter the Earth’s shadow and turn a blood red color during a total lunar eclipse.

An astronomer from the Commonwealth Scientific and Industrial Research Organisation, Australia’s national science and research agency, worked with the flight’s pilots to “design the optimal flight path,” a statement from the airline said. The astronomer, Vanessa Moss, will also be aboard the plane to educate passengers on the lunar event.

The flight will climb to a cruising altitude of 43,000 feet, “above any potential cloud cover and atmosphere pollution,” the statement said — the maximum altitude for the plane, a Boeing 787 Dreamliner. “Cosmic cocktails and supermoon cakes” will be served.

sold out in less than half an hour.

The flight will depart from and return to Sydney Airport, beginning with a scenic route over Sydney Harbour. Australia’s travel restrictions have been among the world’s harshest, with the government largely prohibiting international travel into or out of the country, even for its own citizens.

Other “flights to nowhere” have departed throughout the pandemic as airlines scrambled to manage the sharp decline in travel. In October, a Qantas flight flew over Australia’s Northern Territory, Queensland and New South Wales, departing from and landing in Sydney. Tickets for the flight sold out in 10 minutes.

Climate activists have criticized the flights as unnecessary and harmful to the environment. Qantas noted that it would offset carbon emissions for its supermoon flight to a net zero.

For those who won’t be on the supermoon flight, the lunar event will be visible mostly from Australia, East Asia, islands in the Pacific and the Western Americas.

The moon will be closest to Earth at 11:50 a.m. Australian Eastern Standard Time, but on the West Coast of the United States, the views will start at 1:47 a.m. Pacific time on Wednesday.

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In Sweden’s Far North, a Space Complex Takes Shape

KIRUNA, Sweden — The path to the reindeer herder’s spring home took him across four frozen lakes and countless snowy hilltops. Arriving to a light dusting of snow, the herder, Aslak Allas, switched off his snowmobile, and the overwhelming silence of Sweden’s Arctic settled in.

His reindeer, thousands of them, were nowhere to be seen. “They are very scared of noise,” Mr. Allas, explained, pointing to his vehicle.

He then motioned toward the distant hills dotted with birch trees, their buds swelling with the warming spring sun. “Now, the noise coming from there, that will be something else,” Mr. Allas sighed.

SpaceX. He and several competitors are planning to send up to 50,000 such satellites into space in coming years, compared with fewer than 3,000 out there now.

While the United States, China, Russia and several other countries already have spaceports, Sweden’s would be the first orbital launch site for satellites in Europe — capable of launching spacecraft into orbit around Earth or on interplanetary trajectories. Currently, the intergovernmental European Space Agency launches its traditional single-use Ariane rockets from French Guiana.

Several private European companies are designing spaceports in Europe to host a new generation of smaller rockets. Portugal is looking into building one on the Azores Islands, two remote sites have been allocated in Britain and Norway is upgrading its Andoya Space Center.

Esrange Space Center will be a testing ground for Europe’s first reusable vertical rocket in 2022, and it can conduct engine tests as well.

Swedish Space Corporation, which manages the site, is offering launch services to private ventures wishing to send satellites into space.

“We are a bit of a unicorn in the space business,” said Philip Pahlsson, vice president for strategy and innovation of the Swedish Space Corporation, referring to the government ownership of the site. “But we do plan on being the awesomest company in the government’s portfolio.”

being moved, as the city is slowly sinking into the excavated caverns below.

A 50-foot rocket stands at one of the main intersections, a testament to Sweden’s space ambitions. Space is woven into the fabric of the city.

The Swedish Institute of Space Physics is based in Kiruna, as is the Space High School for gifted teenagers. The space engineering program at Lulea University of Technology, also in Kiruna, attracts Ph.D. students from across Europe. An enormous satellite receiver dish, sticking out from the woods in a vast white valley, serves as a geographical landmark.

Esrange has many of the attributes of other space ports — high fences and warning signs, and some used rockets on display. But it also has a church, a visitor center and the Aurora hotel, named for the northern lights that color the winter skies. Snow is everywhere, of course, and reindeer roam the terrain (no one knows how they get past the fences), but astronauts and moon landers are nowhere to be found.

Themis, after an ancient Greek Titaness who was the personification of divine order.

On this day, the main activity consisted of engine testing by two fiercely competitive German space start-ups, Rocket Factory Augsburg and ISAR Aerospace Technologies.

the fastest pod in Elon Musk’s competition for ultra-high-speed transport in hyperloop, or travel in a vacuum tube. That caught the attention of Bulent Altan, a former vice president at Space X, who decided to back Mr. Fleischmann and his friends.

Sami are the last Indigenous people of Europe and live in Finland, Sweden, Norway and Russia.

In 2019, after an appeal by his district, Mr. Allas managed to block some of the expansion plans for the base, and now his sights are set on the coming noise pollution.

“They might say we need to launch or else we lose our customers, but reindeer herding has been around here long as you can imagine,” Mr. Allas said, adding that a legal battle seemed inevitable. “For us, the Space Corporation is the oldest intruder of our lands, but we have much older rights.”

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A Look Inside Israel’s ‘Fortress of Zion’ Military Command Beneath Tel Aviv

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It was a little past midnight on Friday, and Israel’s Supreme Command Post was racing to complete as many strikes as possible in the final hours before a cease-fire with the Palestinian militant group Hamas was to take effect at 2 a.m.

On a wall covered with huge screens, a three-dimensional diagram of a high-rise building with one of its apartments marked in red popped up. On another screen, a live video from the air circled above a building in Gaza that looked a lot like the one in the diagram.

This room is the nerve center of a bunker dubbed the “Fortress of Zion,” a new Israeli Army command post deep underground beneath its headquarters in the heart of Tel Aviv. It is designed to command the kind of high-tech air wars that have supplanted ground invasions fought by tanks and infantry battalions.

The latest conflict with the Palestinians was the first time the sprawling facility was used during wartime. It was also the first time the army allowed foreign journalists inside one of the most fortified and secretive installations in the country — an effort to showcase Israel’s military and technological prowess but also to counter criticism over civilian casualties.

The first noticeable thing upon entering the bunker is the silence. None of the drama and tragedy of war is apparent, and people appear alert, focused and calm.

The command post is built for operations based heavily on intelligence and carried out from the air or by small groups of special forces. It compiles information from disparate agencies into one database and translates it into operational terms.

It is a place where people are measured by the number of approved targets — warehouses, tunnels or weapons that the military can attack. When a senior officer approves one, it is added to a “Targets Book” that the chief of staff reviews once a month.

Over the last two decades, the “targets” have increasingly been people — like senior Hamas figures.

The military is well aware of the criticism of its tactics, and the loss of innocent lives, which have drawn condemnation from inside and outside the country.

One senior officer, aiming to show that Israel had tried to minimize civilian deaths, points to detailed aerial photographs of an operation that he said had been canceled because its target was a Hamas facility near a Gaza hospital. He said many others had been similarly canceled out of concern for civilian casualties.

The head of the Intelligence Division’s Targets Branch, identified as Lt. Col. S. because the military does not allow the intelligence officers to be named in the news media, said he did not think soldiers became coldhearted by reducing people to “targets.”

Another commander working in the bunker said, however, “You can’t kill someone without something dying in you, too.”

Maj. Gen. Nitzan Alon, a former director of operations for the Israeli military, said he understood that the distance from the battlefield and the treatment of people as “targets” could create indifference to human lives.

“This is part of the commander’s challenge,” he said, to ensure that the operation is effective and “to know that there are human beings at the other end.”

Israel also regularly accuses Hamas of hiding its facilities and weapons inside or near civilian buildings, effectively using civilians as human shields.

During regular times, 300 to 400 soldiers work there around the clock. When Israel decided to launch its air assault on Gaza, thousands from military headquarters above ground joined the bunker. Also present were members of intelligence agencies like the Mossad and Shin Bet, Israel’s domestic intelligence agency, and Foreign Ministry and police representatives.

For 10 days, they commanded operations from the bunker. Most of them scarcely left.

Inside the nerve center, about 70 people were arrayed on different levels so that everyone could see the screens on the wall. Most were in military uniforms and under 25, and those out of uniform were mostly older.

They sat at tables with computers, landline phones or more obscure communication devices. Some of their keyboards fed data into the wall screens — a detailed breakdown of attacks carried out and damage done to Hamas.

Israel estimates that it destroyed 15 to 20 percent of Hamas’s rocket arsenal and some weapons production facilities. It claims to have killed about 200 Hamas operatives and eliminated 30 percent of the tunnels under Gaza used for sheltering militants, housing command systems and moving weaponry around.

The nerve center also had a map with locations of ground forces and military aircraft throughout the Middle East.

In the hours just before cease-fire, it was clear that Israel was eager to deal powerful final blows to Hamas. One screen tracked rocket launches from Gaza and a possible hit on a kibbutz in southern Israel.

At 2 a.m., the commander echoed the chief of staff’s order to cease hostilities. But no one was going home. The post remains on combat alert until Israel determines that the fragile cease-fire will last.

“Fortress of Zion” took 10 years to design and build. Dug deep into the earth, it is protected from a variety of threats, including nuclear attacks. It has enough energy, food and water to function even if its occupants cannot get to ground level for a long time.

It is an extension of an old command post, nicknamed “the pit,” that was expanded several times but was deemed too small and gloomy and had electricity and sanitation problems.

More important, Maj. Gen. Aharon Haliva, the current director of operations for the military, said, “Over the years, the Israel Defense Forces’ needs have changed.”

The huge ground wars of decades gone by gave way to more frequent but smaller operations — known as the “war between the wars.” And that shift meant relying more on technology and a digital network to pool intelligence, General Haliva said.

The bunker is connected via technology to another underground command post for Israel’s political leaders near Jerusalem, the Air Force’s underground headquarters and the Shin Bet’s command center.

The complex includes a gym, a synagogue, a kitchen and dining rooms, and a bedroom for guests with a row of clocks from different parts of the world, Tehran among them. There is also a lounge with food and nonalcoholic drinks — the only spot where soldiers can use their cellphones.

One floor is occupied by the army’s high command, including a private bedroom for the chief of staff with simple furnishings mirrored throughout the bunker.

Various military and intelligence departments feed the nerve center with information and have a representative physically present. The combined operation allows for a large number of strikes in an almost continuous stream.

Some efforts were made to give the windowless bunker a pleasant atmosphere, decorated with pictures of scenic places in the country and a famous quote by Israel’s found father, David Ben-Gurion, that reads: “In the hands of this army, the security of the people and the homeland will now be entrusted.”

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How US Activists Are Trying to Halt the Killing of Kangaroos in Australia

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“If we’re not doing it, the cockies will blast them,” Mr. White said, using a slang term for small-scale farmers. “They won’t stop.”

In the end, the argument over Australia’s kangaroo industry has always been only partly about cruelty and only partly about animals. It is most viscerally about whose values rule.

To Mr. Pacelle, Australia’s professional hunters are justifying harm to wildlife to get paid. To Professor Wilson, animal rights activists are engaging in “imperialism” that forces their sensitivities onto others.

The case against the kangaroo business brings with it a sense of rectitude that transcends borders. The defense is provincial; it’s less moral than pragmatic. And what’s clear, at least in outback Queensland, is that while distance can deliver perspective, it can also overlook facts and oversimplify complicated truths.

The fires that sparked calls for regulation last year, for example, were concentrated in New South Wales, hundreds of miles from where Mr. White hunts. In his state, Queensland, survey data earlier this year put the kangaroo population for the three species that are harvested at 16.7 million — a far cry from endangered.

Leslie Mickelbourgh, the managing director of Warroo Game Meats, said the soccer shoes campaign was also something of a gimmick. Though neither the government nor the industry breaks down exports or total revenue by product, Mr. Mickelbourgh said that kangaroos from Surat were mostly used for meat. The animals are increasingly seen as a more ethical alternative to beef and lamb because kangaroos do not contribute to climate change by belching out methane, and because they are harvested in their habitat.

The industry’s critics, Mr. Mickelbourgh said, “don’t understand our country.”

He was sitting in an office near photos of his father, the founder of the business, with giant piles of kangaroo skins. Mr. White, who happened to stop by, was sitting on a chair next to a banner that read “think local.”

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