strong reason vs reason

Some examples from the web:

• I got strong reason to believe it's been compromised.
• We have strong reason to believe that whoever wrote this note is the killer.
• There is strong reason to believe that the new US Administration will pursue a policy of more vigorous engagement both with allied partners and international organisations.
• No, but we have strong reason to believe they were taken.
• I have strong reason to believe the shooter's actually after Alex.
• Yes, but always because of that strong reason.
• He must have had a very strong reason for wanting to talk to Miss Inwood.
• It is a strong reason to once more emphasise the importance of the data protection rules.
• As this approach provides the public with comprehensive information and all relevant explanations in real-time, I see no strong reason to change the current practice.
• We'll need you to make a formal identification, but... I have strong reason to believe that the man who lost his life was your husband.
• It's just if there's a strong reason For me to have someone in my life, I'll fight for them.
• I have strong reason to believe that the man who lost his life was your husband.
• One strong reason to remain with what the Committee on Development has concluded, as expressed by Mr Corrie and others, with whom I agree, is that it reflects the Cairo consensus - no more and no less.
• In particular, the harmful impact of bad landfill practices on groundwater resources and on global warming by the emission of methane from landfills is, in itself, a very good and strong reason why we need to take the actions that we are proposing in this proposal.
• Mr Ocampo told the BBC that the ICC, after investigating the financial affairs of the accused President al-Bashir and thanks to information from Wikileaks documents, had 'strong reason to believe that Bashir has a lot of money' held in personal accounts outside Sudan.

Some examples from the web:

• The reason your government does anything.
• It was significant for another reason.
• Yet another reason to mourn his passing.
• Public health is another reason to consider retrofitting.
• Pops made this place Switzerland for a reason.
• The other reason is this amazing bush glows.
• There must have been a reason.
• Maybe that gun jammed for a reason.
• More reason to keep the job.
• The reason is simply historical facts.
• Hatred can be suppressed with reason.
• Peter Aitken likes math, reason, himself.
• Mercer went after this family for a reason.
• The outsider in Storybrooke had reason to stay.
• The reason for the visit unclear.
• Loss of reason, anger... Eventually hallucinations.
• Which means the reason is probably completely irrational.
• Wilkes needed your ID for a reason.
• My sister probably picked you for the same reason.
• They started making changes without any reason.