1/​​1 What can be forecast?

Fore­cast­ing is required in many sit­u­a­tions: decid­ing whether to build another power gen­er­a­tion plant in the next five years requires fore­casts of future demand; sched­ul­ing staff in a call cen­tre next week requires fore­casts of call vol­ume; stock­ing an inven­tory requires fore­casts of stock require­ments. Fore­casts can be required sev­eral years in advance (for the case of cap­i­tal invest­ments), or only a few min­utes before­hand (for telecom­mu­ni­ca­tion rout­ing). What­ever the cir­cum­stances or time hori­zons involved, fore­cast­ing is an impor­tant aid in effec­tive and effi­cient planning.

Some things are eas­ier to fore­cast than oth­ers. The time of the sun­rise tomor­row morn­ing can be fore­cast very pre­cisely. On the other hand, tomorrow’s lotto num­bers can­not be fore­cast with any accu­racy. The pre­dictabil­ity of an event or a quan­tity depends on sev­eral fac­tors including:

  1. how well we under­stand the fac­tors that con­tribute to it;
  2. how much data are available;
  3. whether the fore­casts can affect the thing we are try­ing to forecast.

For exam­ple, fore­casts of elec­tric­ity demand can be highly accu­rate because all three con­di­tions are usu­ally sat­is­fied. We have a good idea on the con­tribut­ing fac­tors: elec­tric­ity demand is largely dri­ven by tem­per­a­tures, with smaller effects for cal­en­dar vari­a­tion such as hol­i­days, and eco­nomic con­di­tions. Pro­vided there is a suf­fi­cient his­tory of data on elec­tric­ity demand and weather con­di­tions, and we have the skills to develop a good model link­ing elec­tric­ity demand and the key dri­ver vari­ables, the fore­casts can be remark­ably accurate.

On the other hand, when fore­cast­ing cur­rency exchange rates, only one of the con­di­tions is sat­is­fied: there is plenty of avail­able data. How­ever, we have a very lim­ited under­stand­ing of the fac­tors that affect exchange rates, and fore­casts of the exchange rate have a direct effect on the rates them­selves. If there are well-publicized fore­casts that the exchange rate will increase, then peo­ple will imme­di­ately adjust the price they are will­ing to pay and so the fore­casts are self-fulfilling. In a sense the exchange rates become their own fore­casts. This is an exam­ple of the “effi­cient mar­ket hypoth­e­sis”. Con­se­quently, fore­cast­ing whether the exchange rate will rise or fall tomor­row is about as pre­dictable as fore­cast­ing whether a tossed coin will come down as a head or a tail. In both sit­u­a­tions, you will be cor­rect about 50% of the time what­ever you fore­cast. In sit­u­a­tions like this, fore­cast­ers need to be aware of their own lim­i­ta­tions, and not claim more than is possible.

Often in fore­cast­ing, a key step is know­ing when some­thing can be fore­cast accu­rately, and when fore­casts are no bet­ter than toss­ing a coin. Good fore­casts cap­ture the gen­uine pat­terns and rela­tion­ships which exist in the his­tor­i­cal data, but do not repli­cate past events that will not occur again. In this book, we will learn how to tell the dif­fer­ence between a ran­dom fluc­tu­a­tion in the past data that should be ignored, and a gen­uine pat­tern that should be mod­elled and extrapolated.

Many peo­ple wrongly assume that fore­casts are not pos­si­ble in a chang­ing envi­ron­ment. Every envi­ron­ment is chang­ing, and a good fore­cast­ing model cap­tures the way things are chang­ing. Fore­casts rarely assume that the envi­ron­ment is unchang­ing. What is nor­mally assumed is that the way the envi­ron­ment is chang­ing will con­tinue into the future. That is, that a highly volatile envi­ron­ment will con­tinue to be highly volatile; a busi­ness with fluc­tu­at­ing sales will con­tinue to have fluc­tu­at­ing sales; and an econ­omy that has gone through booms and busts will con­tinue to go through booms and busts. A fore­cast­ing model is intended to cap­ture the way things move, not just where things are. As Abra­ham Lin­coln said “If we could first know where we are and whither we are tend­ing, we could bet­ter judge what to do and how to do it”.

Fore­cast­ing sit­u­a­tions vary widely in their time hori­zons, fac­tors deter­min­ing actual out­comes, types of data pat­terns, and many other aspects. Fore­cast­ing meth­ods can be very sim­ple such as using the most recent obser­va­tion as a fore­cast (which is called the “naïve method”), or highly com­plex such as neural nets and econo­met­ric sys­tems of simul­ta­ne­ous equa­tions. Some­times, there will be no data avail­able at all. For exam­ple, we may wish to fore­cast the sales of a new prod­uct in its first year, but there are obvi­ously no data to work with. In sit­u­a­tions like this, we use judg­men­tal fore­cast­ing — dis­cussed in Chap­ter 3. The choice of method depends on what data are avail­able and the pre­dictabil­ity of the quan­tity to be forecast.


Pro­ceed to Sec­tion 1/2

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