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This millennium, Britain’s dragonfly contingent has been in the throes of revolution. Several sparkling species have crossed the sea to start colonising the UK. In this ambitious itinerary, you might see up to seven magnificent dragonflies unknown in Britain two decades previously.

The restoration game: Crossways in leafy Hanwell, west London, has failed to sell at auction and may continue to lie derelict

Property news roundup: Why do tenants rent?

Plus Six Nations property breakdown, empty homes, homelessness, and rents in UK cities

New York plans to cull wild mute swans

The birds' beauty belies their often menacing and destructive nature 

Face facts: ‘Easter Island: Mysteries of a Lost World’ with Dr Jago Cooper

Easter Island: Mysteries of a Lost World, TV review: Archaeologist digs deep to prove that a lost tribe can hold their heads up high

When most of us think of Easter Island, or Rapa Nui, we think of moai, the 887 magnificent statues that guard its shores. But the mystery of BBC4's Easter Island: Mysteries of a Lost World wasn't how these monoliths were made, or how they were moved into place (aliens, obviously) or even whether the ancient Rapa Nui people were responsible for their own decline, it's why the myths have persisted for so long.

A statue depicting a Neanderthal. Scientists have discovered that Neanderthal genes passed on to modern humans could affect our likelihood of developing auto-immune diseases.

Neanderthal genes linked to diseases in modern day humans including type two diabetes

The likelihood of people developing diseases including type two diabetes and Crohn's could be affected by genes inherited from Neanderthals

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Data reveals six NHS trusts with 'persistently' high death rates

Six NHS trusts have “persistently” high death rates for patients who die in hospital or within 30 days of discharge, according to new data.

French schools battle boycott after hoax text messages warn of 'masturbation classes'

Almost half the pupils from some French primary schools were absent from class after the text messages were sent

The UN Secretary-General Ban Ki-Moon (centre) welcomes delegates hoping to bring an end to Syria’s civil war to the Montreux Palace Hotel in Switzerland

Geneva talks: Give Syrians a voice

The peace talks are offering a way out of a vicious cycle, and it is one of the very few hopes for the vast majority of Syrians who reject extremism

Illnesses are good for GDP with the money drug companies and health institutions are paid to come up with new treatments

Guy Hands: No matter what the politicians say, GDP is a distorted guide to economic performance – and a bad way to measure prosperity

When running a business, you learn that nothing matters more than setting the correct objectives and making sure you keep a very close eye on the balance sheet.

The Magical Teapot, Linthill Studio, Lilliesleaf, Melrose, Scottish Borders TD6. Guide price £10,000. On with Rettie.

Property news roundup: 18% premium on properties in National Parks

Plus exchange-to-completion times, 'Granlords', and a detached teapot

Sir David Attenborough: 'I promised I would do something'

Cut childcare costs by having fewer children, says Population Matters

It's a theory that hasn't been proposed by politicians yet

This 1348 painting shows how plague devastated European cities like Florence

The Black Death: Plague that killed millions is able to rise from the dead

Black rats are also implicated in both outbreaks, which took place 800 years apart

What the Pope's green manifesto should say...
1. Introduce an international carbon tax

Francis has already used the symbolic power of his office to change attitudes

elephants in rain

Good fences make good neighbours in Kenya

Protecting habitat and engaging the local community are crucial for both rhinos and elephants, says Christian Lambrechts, the managing director of Rhino Ark

Saltwater crocodiles can weigh up to a ton

Search continues for Australian boy snatched by crocodiles

Australian police have shot dead two crocodiles after a 12-year-old boy's disappearance

Families, who had fled their homes due to fighting, return to their houses in the Barzeh neighbourhood of Damascus

Syrians return to their badly damaged homes as ceasefire makes streets safe again

For the first time in the Syrian civil war a ceasefire agreement in a Damascus district sees rebel fighters keep their weapons and control of their own neighbourhood in return for an end to the fighting. If repeated in other parts of Syria, such agreements have the potential to de-escalate violence that has left 130,000 Syrians dead.

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Apulia
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Prices correct as of 26 September 2014
Isis is an hour from Baghdad, the Iraq army has little chance against it, and air strikes won't help

Isis an hour away from Baghdad -

and with no sign of Iraq army being able to make a successful counter-attack
Turner Prize 2014 is frustratingly timid

Turner Prize 2014 is frustratingly timid

The exhibition nods to rich and potentially brilliant ideas, but steps back
Last chance to see: Half the world’s animals have disappeared over the last 40 years

Last chance to see...

The Earth’s animal wildlife population has halved in 40 years
So here's why teenagers are always grumpy - and it's not what you think

Truth behind teens' grumpiness

Early school hours mess with their biological clocks
Why can no one stop hackers putting celebrities' private photos online?

Hacked photos: the third wave

Why can no one stop hackers putting celebrities' private photos online?
Royal Ballet star dubbed 'Charlize Theron in pointe shoes' takes on Manon

Homegrown ballerina is on the rise

Royal Ballet star Melissa Hamilton is about to tackle the role of Manon
Education, eduction, education? Our growing fascination with what really goes on in school

Education, education, education

TV documentaries filmed in classrooms are now a genre in their own right
It’s reasonable to negotiate with the likes of Isis, so why don’t we do it and save lives?

It’s perfectly reasonable to negotiate with villains like Isis

So why don’t we do it and save some lives?
This man just ran a marathon in under 2 hours 3 minutes. Is a 2-hour race in sight?

Is a sub-2-hour race now within sight?

Dennis Kimetto breaks marathon record
We shall not be moved, say Stratford's single parents fighting eviction

Inside the E15 'occupation'

We shall not be moved, say Stratford single parents
Air strikes alone will fail to stop Isis

Air strikes alone will fail to stop Isis

Talks between all touched by the crisis in Syria and Iraq can achieve as much as the Tornadoes, says Patrick Cockburn
Nadhim Zahawi: From a refugee on welfare to the heart of No 10

Nadhim Zahawi: From a refugee on welfare to the heart of No 10

The Tory MP speaks for the first time about the devastating effect of his father's bankruptcy
Witches: A history of misogyny

Witches: A history of misogyny

The sexist abuse that haunts modern life is nothing new: women have been 'trolled' in art for 500 years
Shona Rhimes interview: Meet the most powerful woman in US television

Meet the most powerful woman in US television

Writer and producer of shows like Grey's Anatomy, Shonda Rhimes now has her own evening of primetime TV – but she’s taking it in her stride
'Before They Pass Away': Endangered communities photographed 'like Kate Moss'

Endangered communities photographed 'like Kate Moss'

Jimmy Nelson travelled the world to photograph 35 threatened tribes in an unashamedly glamorous style