Thanks EGOL for the detailed answer and sorry for my late reply- just coming back from vacation

It is clear to me that the question cannot just be easily answered by a number. I understand this and I wish my clients/supervisors would do that too - but that's a different story...

I am trying to get an rough estimation anyway, assuming that all other factors (on-the-page factors, words on page, quality of the content, social signals, age of the domian etc.) of the competitor's page/site are exactly the same as on my page/site and these factors would not move. Economists call this "ceteris paribus" analysis.

P.S. I've been in the business now for a while, but just starting to use SEOMoz (we used other tools before) - the ressources on this website and especially this question section is just simply awesome!!

I just ran a SERP/keyword diffculty report for a keyword I want one of my pages to rank

Also, I just conducted the on-the-page-optimization and now I am going to start buidling links.

=> I would like to estimate how many linking root domains I need to overrank one of my competitor. These are the MOZ data:
1. My page:
Page Linking Root domains: 0
Root Domain Linking Root Domains: 151

2. Competitor:
Page linking root domains: 1
Root Domain Linking Root Domains: 5,786

I don't really know on which metric (Page or domain LRD) to rely on in order to make an estimation and I would be glad for some help!

To simplyfy the problem, assume that all toher factors (code, on-the-page keyword use., social etc.) are equal for both sites. Can I just get 2LRD to that page in order to likely outrank my competitor or do I need around 5000 more links poiting to my site?

I think an answer to this question could help a lot of users here, since I saw similar questions/difficulties regarding the use of page LRD vs. root domain LRD

P.S. Non of the pages of my website do currently rank in the top 100 for that keyword.

I just ran a SERP/keyword diffculty report for a keyword I want one of my pages to rank

Also, I just conducted the on-the-page-optimization and now I am going to start buidling links.

=> I would like to estimate how many linking root domains I need to overrank one of my competitor. These are the MOZ data:
1. My page:
Page Linking Root domains: 0
Root Domain Linking Root Domains: 151

2. Competitor:
Page linking root domains: 1
Root Domain Linking Root Domains: 5,786

I don't really know on which metric (Page or domain LRD) to rely on in order to make an estimation and I would be glad for some help!

To simplyfy the problem, assume that all toher factors (code, on-the-page keyword use., social etc.) are equal for both sites. Can I just get 2LRD to that page in order to likely outrank my competitor or do I need around 5000 more links poiting to my site?

I think an answer to this question could help a lot of users here, since I saw similar questions/difficulties regarding the use of page LRD vs. root domain LRD

P.S. Non of the pages of my website do currently rank in the top 100 for that keyword.