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13 Replies Last post: Sep 19, 2007 8:13 PM by Nobby063  
Click to view streak790's profile Amateur 29 posts since
Jan 20, 2006
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Sep 18, 2007 4:43 PM

Fibonacci sequence & Marathon basebuilding

This is an admittedly geeky thing but thought it could be fun. I'm planning a long-term plan for running marathons in 2 years, basically starting from the couch. A lot of basebuilding schedules just don't click with me so I figured I'd try to create my own, while holding onto basic principles prescribed by Jack Daniels and others. I decided to play around with the golden ratio (0.618034) derived from the Fibonacci sequence, which I'm sure a lot of you are familiar with from the DaVinci Code and/or math class. My plan is to work toward a goal weekly mileage for BASEBUILDING ONLY that would put me in great condition for starting to train for marathons.

Constraints:
Long runs not to exceed 30% of weekly mileage
Alternate hard and easy days
Start doubles around 55 miles/week
Weekday runs not to exceed one hour each
One day off a week (a necessity for me)

Goal weekly plan for BASEBUILDING phase (55 miles/week):
Sunday = 16.2 miles = 0.618304 x 26.21876 miles
Monday = 6.2 miles = (0.618304)^3 x 26.21876 miles
Tuesday = 10.0 miles* = (0.618304)^2 x 26.21876 miles
Wednesday = 6.2 miles
Thursday = 10.0 miles*
Friday = 6.2 miles
Saturday = rest
*10-mile days are to be broken up into 2 separate runs
I like that this plan consists of 10K and 10M segments

In order to work up to that 55 miles/week plan, I came up with two intermediate plans by successively multiplying 0.618304 by each of those numbers:

Starting weekly plan (21 miles/week):
Sunday = 6.2 miles (10K distance - could use races as training runs)
Monday = 2.4 miles
Tuesday = 3.8 miles
Wednesday = 2.4 miles
Thursday = 3.8 miles
Friday = 2.4 miles
Saturday = rest

Intermediate weekly plan (34 miles/week):
Sunday = 10.0 miles
Monday = 3.8 miles
Tuesday = 6.2 miles
Wednesday = 3.8 miles
Thursday = 6.2 miles
Friday = 3.8 miles
Saturday = rest

After I move from the 21 mpw plan to the 34 to the 55, then I can start getting into some real training plans involving tempo runs, hill work, speedwork, and 20+ mile runs. I don't have any ideas about that just yet.

So my question to you all is, are there any problems with this basebuilding schedule, or anything you'd like to add? As a scientist, I know that things can look great in theory, but in practice is a whole other story.
Click to view Magicsquid's profile Rookie 2 posts since
May 15, 2005
1. Sep 18, 2007 4:52 PM in response to: streak790
Re: Fibonacci sequence & Marathon basebuilding
As a science major I thoroughly enjoyed your post and method of using the Golden Ratio.

How many weeks do you plan to spend on each plan?

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My Blog: www.runningwithscalpels.com[/URL" target="_blank">
Click to view milkbaby004's profile Legend 464 posts since
Jul 28, 2003
3. Sep 18, 2007 7:31 PM in response to: streak790
Re: Fibonacci sequence & Marathon basebuilding
I would do the 10 milers as singles, not doubles. If your goal involves marathon racing, then you are much better off doing as much mileage in singles as possible. If you want to constrain yourself to one hour runs on weekdays, then I hope you are relatively fast... Alternatively, you could wake up earlier or go to sleep later to get your run in.
Click to view runninirish's profile Legend 233 posts since
Feb 26, 2007
4. Sep 18, 2007 10:23 PM in response to: streak790
Re: Fibonacci sequence & Marathon basebuilding
I've got a BS and MS in mathematics...so I applaud your ingenuity of the Golden Ratio...very cool. As a fellow marathoner, I'd say don't be afraid to take more than 1 day off a week..not sure your background besides "the couch"...but it will take some time to run that kind of milage with only one rest day. One thing I have learned is that many days a step back (rest) is worth 2 steps forward for your next training session...Eventually, you'll want to run your 10 miler as a single...good luck...let me know if you come up with 10k training plan using Euler's constant...

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"Fortitudine vincimus"
Click to view Nobby063's profile Legend 629 posts since
Dec 14, 2007
5. Sep 19, 2007 1:09 AM in response to: streak790
Re: Fibonacci sequence & Marathon basebuilding
quote:<HR>Originally posted by streak790:
This is an admittedly geeky thing but thought it could be fun. I'm planning a long-term plan for running marathons in 2 years, basically starting from the couch. A lot of basebuilding schedules just don't click with me so I figured I'd try to create my own, while holding onto basic principles prescribed by Jack Daniels and others. I decided to play around with the golden ratio (0.618034) derived from the Fibonacci sequence, which I'm sure a lot of you are familiar with from the DaVinci Code and/or math class. My plan is to work toward a goal weekly mileage for BASEBUILDING ONLY that would put me in great condition for starting to train for marathons.

Constraints:
Long runs not to exceed 30% of weekly mileage
Alternate hard and easy days
Start doubles around 55 miles/week
Weekday runs not to exceed one hour each
One day off a week (a necessity for me)

Goal weekly plan for BASEBUILDING phase (55 miles/week):
Sunday = 16.2 miles = 0.618304 x 26.21876 miles
Monday = 6.2 miles = (0.618304)^3 x 26.21876 miles
Tuesday = 10.0 miles* = (0.618304)^2 x 26.21876 miles
Wednesday = 6.2 miles
Thursday = 10.0 miles*
Friday = 6.2 miles
Saturday = rest
*10-mile days are to be broken up into 2 separate runs
I like that this plan consists of 10K and 10M segments

In order to work up to that 55 miles/week plan, I came up with two intermediate plans by successively multiplying 0.618304 by each of those numbers:

Starting weekly plan (21 miles/week):
Sunday = 6.2 miles (10K distance - could use races as training runs)
Monday = 2.4 miles
Tuesday = 3.8 miles
Wednesday = 2.4 miles
Thursday = 3.8 miles
Friday = 2.4 miles
Saturday = rest

Intermediate weekly plan (34 miles/week):
Sunday = 10.0 miles
Monday = 3.8 miles
Tuesday = 6.2 miles
Wednesday = 3.8 miles
Thursday = 6.2 miles
Friday = 3.8 miles
Saturday = rest

After I move from the 21 mpw plan to the 34 to the 55, then I can start getting into some real training plans involving tempo runs, hill work, speedwork, and 20+ mile runs. I don't have any ideas about that just yet.

So my question to you all is, are there any problems with this basebuilding schedule, or anything you'd like to add? As a scientist, I know that things can look great in theory, but in practice is a whole other story.
<HR>


First of all, as others have done, applaud--quite interesting and well-thought out. Second, I just can't help but applaud even more to those who came up with VERY similar program without thinking too much--in other words, from their own experience. Basicaly, what you did is to prove how right those "previous" coaches had been.

And, I hate to be the one to bring a negative comment; if I see a problem with it; well, my question is; have you actualy tried such a formula in real life? I mean, it looks clean and cool and great on paper; using fancy formula and all. But when it comes down to it; it's a human being--a chunk of flesh with feelings, who would do it. Just the other day, I was taking to my client about sending this testing kit to Japan. Upon realizing most of the "kit" were readily available in Japan as well, I suggested that, instead of sending them all across the ocean, point out what they need and call it a day. "Well," he said, "I want to eliminate any possible mistake, I'd rather send the whole thing..." I pointed out that the only thing I can see as an issue is "a human error." Well, guess what; we did the test ourselves and it didn't work out--it was a human error right here at our own backyard! In a very practical sense, what we do as a hunan being CAN be very different from the number game on paper. You might see a very nice progress from one month to the next, from the first year to the next. But more often than not, things don't really work out that way. Some of us respond better to a certain type of stress than others; some might progress much faster than others; or slower... The only way to ensure that the program is taylored to YOU is to see how YOU respond to it. One long run with two medium long runs during the week sounds very nice (just like the original Lydiard program); but two of those might be enough; actually three COULD be too much. When do you decide to go double? By numbers (when you reach 50MPW) or when you are actually ready? Or you may actually require this easy morning exercise to loosen up. How would you know when it's necessary? The only way you know is to listen to your inner coach.

One other factor could be the length of time--2 years. I hear some young runners say, "I'm going to spend next 5 years building superb aerobic base..." That's awfully a long time to dedicate yourself to build a base. In fact, it's probably too **** long to be a base building monk. Life has to be enjoyed. Usually I tend to prescribe anywherer from 10 weeks to 15 to prepare for the marathon. I feel anything longer that could be detremental to keeping motivation high. In other words, you get bored with it. .

Indeed, what you did is quite interesting. But the real-life appication is everything.
Click to view ShanGen's profile Legend 280 posts since
Dec 14, 2007
6. Sep 19, 2007 5:07 AM in response to: streak790
Re: Fibonacci sequence & Marathon basebuilding
Is all this going to begin after you do the C25K or something?? Because it took me 2-3 months to be able to consistantly hit 3 miles with every run and I am just now starting to build a long run day. Also have you actually tried running 5 days a week? I run 3 and struggle to fit the 4th day in although I would really like to.

This is a very aggressive plan which is great for someone who is already running and who has the time to dedicate to it, but if you really are just coming off the couch it seems more like you might be setting yourself up for some disappointment at first.

As a scientist I do applaud your thinking, however, a common flaw with applying math to humans is that an equation does not take into account the human body, it's needs, or the live one leads.

Good luck to you none-the-less.
Click to view runawayjesse's profile Legend 538 posts since
Dec 14, 2007
7. Sep 19, 2007 6:44 AM in response to: streak790
Re: Fibonacci sequence & Marathon basebuilding
Jotting things on paper that far ahead never worked for me. I became too hard pressed to folllow the plan and in the process didn't listen to warning sighns that my body gave me. Truth is my body just didn't care what was writin on paper. Anymore I train from day to day basing my next day on what happened today.

Thats just me though, it might work for you.
Click to view Southern Man's profile Legend 745 posts since
Apr 19, 2006
8. Sep 19, 2007 7:43 AM in response to: streak790
Re: Fibonacci sequence & Marathon basebuilding
I'm with Nobby. Actually that is a pretty good default position, always agree with Nobby.

It is kind of cool that you planned to do that. I could probably do your plan pretty easily, as I have some 10 mile runs and some 6.2 mile runs. I couldn't do it every week, though. You don't have any built in recovery weeks. Also, lenth of time spent on base building is very long.

You could use this as a base (to fulfill your inner geek) as long as you are flexible in application.

Southern Man



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We're on a road to nowhere. Come on along.
Click to view Nobby063's profile Legend 629 posts since
Dec 14, 2007
10. Sep 19, 2007 11:18 AM in response to: streak790
Re: Fibonacci sequence & Marathon basebuilding
Streak 790:

No, I didn't really mean to "criticize" either so thanks for understanding. Actually you really got me thinking... I was up running this morning and thinking about this. Let's say we have someone starting out. He/she is running about 10 miles a week. So that's a nice round number and just 1/10th of Lydiard's famous (or infamous) 100MPW. Should he/she divide that in to the ratio and run 2 miles on Sunday, 1 on Monday...? I wouldn't. I would probably start with 2 miles each day for 5 days. This is based on, I guess you could say, my experience. Then that sort of got me thinking further... You see, I'm a Lydiard disciple. And when you see how he started people, in a situation like C25K; he would tell them to go out for 10 minutes and come back in 10 minutes. If it takes longer than 10 minutes to come back, it's either you're not ready for this, or the pace was too fast... To me, you can't get any more basic than this. So how long should one continue things like this?

Well, I'm in Boulder right now, staying at Lorraine Moller's place and yesterday, this young lady wanted to interview Lorraine over the phone. I was listening to her... She explained some of the principles of Lydiardism like; it's "Response Regulated" program; in other words, you see how your body responds to certain stress and see where you go from there. Also it's "Feeling-based". So after all this Lorraine's explaining, the next question that comes from this young lady was: "So how long should one continue?" Well! We just said it's "Response Regulated" and "Feeling-based"! In other words, we wouldn't know. It could be 3 weeks; it could be, as so many letsrun readers think, 9 weeks (from 0 to 100MPW), it could be 3 years!

In regards to doubing; I try to run twice a day. I'm probably barey 50MPW right now but that's now why I do it two times a day. If I jog in the morning, it's an exercise and it loosens up and helps me for the evening run. I would recommend anybody to do it IF they have time and energy to do so. The thing is; as you said it, we are all busy and quite often life's other things get in our ways. If you put that extra stress on yourself; running won't be fun any more! So how long can you keep on going like that? I recommend this young lady I coach to go for a monring jog but I will NEVER insist she should. I'd rather she continue her enthusiasm than get burnt out mentally.

So like I said, your post really got me thinking. For the first time, I openned up C25K program and studied it seriously. I'd like to know if I agree with that or not. I'd still stick to the very basic Lydiard program though.
Click to view Harper028's profile Pro 191 posts since
Jan 20, 2007
11. Sep 19, 2007 3:09 PM in response to: streak790
Re: Fibonacci sequence & Marathon basebuilding
I used to spend hours designing the "perfect" training plan to get me from where I was (25-ish mpw) to something higher. None of them really worked. So I'd go back to the drawing board to design the even more perfect plan.

What I found was the best way to train was to listen to my body. I realized 3 weeks in between long runs was optimal for me. Not 1 or 2 as many plans prescribe. I found I can run at least 3 days in a row before taking a day off. I found it's better to take a day or 2 off before a long run rather than after. I prefer to run more by time than by distance, and I don't plan in advance how many miles I will run in a given week. I figure I'll be able to run on certain days and get in, say, at least an hour, maybe 2 or 2.5 per day, but I never know until I get out there how I'm going to feel and therefore how far and fast I'm going to run. But I run as much as I can, as much as I want, and over the last year have increased by base mileage by 2.5x. I'm at 60-80 mpw now.
Click to view exciton's profile Legend 315 posts since
Nov 2, 2004
12. Sep 19, 2007 4:58 PM in response to: streak790
Re: Fibonacci sequence & Marathon basebuilding
I'm with Runaway Jesse on his comment that planning that far ahead in such an organic enterprise is bound to fail to some degree. I also agree with Nobby on his similar point that your body will not necessarily respond as cleanly and predictably as a mathematical formula. But hey, I realize you are partly playing around here and I am amused by it, being a geekazoid myself. I rather like the basic schedule you have laid out. I do single tenners on Tuesdays and Thursdays myself and I have found that I can get a long way on that basic component.

Where I disagree pretty heavily with Nobby is in his suggestion that two years base building is too long. I think it's perfect and it's what I advise any new runner to do, based on my own experience and my observations of many others. Ten to fifteen weeks to go from zero to marathon is ridiculously short. Ridiculously. It puts you running a marathon right in the midst of the injury danger zone for beginning runners. You would just be begging for burnout and injury. It takes years, and oftentimes many marathons thereafter, to build base and run close to your potential.

Stick with your measured, steady, patient approach. And keep that analytical edge too. It will serve you well.

Good luck.

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Click to view Nobby063's profile Legend 629 posts since
Dec 14, 2007
13. Sep 19, 2007 8:13 PM in response to: streak790
Re: Fibonacci sequence & Marathon basebuilding
quote:<HR>Originally posted by exciton:
Where I disagree pretty heavily with Nobby is in his suggestion that two years base building is too long. I think it's perfect and it's what I advise any new runner to do, based on my own experience and my observations of many others. Ten to fifteen weeks to go from zero to marathon is ridiculously short. Ridiculously. It puts you running a marathon right in the midst of the injury danger zone for beginning runners. You would just be begging for burnout and injury. It takes years, and oftentimes many marathons thereafter, to build base and run close to your potential.
<HR>


Okay, with this, I'd need to clarify. I didn't mean to jump from "zero to marathon" in 10 weeks. What I meant is I'd prefer 10~15 weeks for the marathon preparation "from a certain level". While I prefer not to put any number on it; I'd like to see, in general, one who has gotten to the point where he/she can comfortably run at least an hour to an hour and a half before he/she starts the preparation. How long would it take to get up to that level? Who knows...??? It could be as little as 3 months; it could take a couple of years. Well, even Arthur Lydiard took 8 months to get a bunch of old heart attack patient to complete a marathon; I would not dare say I could do it, from a scratch, in 10 weeks!