Document:

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                                                                    EXHIBIT 10.9

                            EQUISTAR CHEMICALS, LP
                              2001 INCENTIVE PLAN

     1.   Objectives.  This Equistar Chemicals, LP 2001 Incentive Plan (the
"Plan") is intended to:

     .    Focus Participants on key measures of value creation for the Company's
          Partners

     .    Provide significant upside and downside award potential commensurate
          with Partner value creation

     .    Encourage a long-term management perspective and reward for sustained
          long-term performance

     .    Enhance the ability of the Company to attract and retain highly
          talented and competent individuals

     .    Reinforce a team orientation among top management

     2.   Definitions.  As used herein, the terms set forth below shall have the
following respective meanings:

     "Affiliate" means (i) any Subsidiary or (ii) Lyondell, Millennium,
Occidental or LYONDELL-CITGO Refining, LP.

     "Award" means any award of Equistar Options, Performance Shares or Cash
Award, whether granted singly, in combination or in tandem, granted to a
Participant pursuant to any applicable terms, conditions and limitations as the
Committee may establish in order to fulfill the objectives of the Plan.

     "Award Agreement" means an agreement in the form prescribed by the
Committee that sets forth the terms, conditions and limitations applicable to an
Award.

     "Cash Award" means an award payable in cash.

     "Code" means the United States Internal Revenue Code of 1986, as amended
from time to time.

     "Common Stock" means Lyondell Common Stock, Millennium Common Stock and/or
Occidental Common Stock.

     "Committee" means the Compensation Committee of the Partnership Governance
Committee of the Company, or any person or persons appointed by the Partnership
Governance Committee of the Company to administer the Plan.

     "Company" means Equistar Chemicals, LP.

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     "Composite Fair Market Value" means the value of an Equistar Share on a
particular date as determined by the Committee in its discretion based on the
aggregate of the Proportional Fair Market Values of the Common Stock of the
Partners.

     "Effective Date" means January 1, 2001.

     "Employee" means an individual employed by the Company or a Subsidiary.

     "Equistar Option" means the right to receive an amount in cash equal to (1)
the value of a specified number of Equistar Shares at a particular time, minus
(2) a Strike Price.

     "Equistar Share" means a bookkeeping unit whose value is equal to the
Composite Fair Market Value.

     "Fair Market Value" of a share of Common Stock means, as of a particular
date, (i) if shares of Common Stock are listed on a national securities
exchange, the closing price per share of Common Stock reported on the
consolidated transaction reporting system for the principal national securities
exchange on which shares of Common Stock are listed on that date, or, if there
shall have been no such sale so reported on that date, on the last preceding
date on which such a sale was so reported, (ii) if shares of Common Stock are
not so listed but are quoted on the Nasdaq National Market, the closing price
per share of Common Stock reported by the Nasdaq National Market on that date,
or, if there shall have been no such sale so reported on that date, on the last
preceding date on which such a sale was so reported, (iii) if the Common Stock
is not so listed or quoted, the mean between the closing bid and asked price on
that date, or, if there are no quotations available for such date, on the last
preceding date on which such quotations are available, as reported by the Nasdaq
Stock Market, or, if not reported by the Nasdaq Stock Market, by the National
Quotation Bureau Incorporated or (iv) if shares of Common Stock are not publicly
traded, the most recent value determined by the Committee for such purpose.
Notwithstanding the foregoing, pursuant to Section 10, the Committee may
determine in its discretion that a Common Stock that is no longer publicly
traded will no longer be considered for purposes of determining Proportional
Fair Market Values and Composite Fair Market Value.

     "Grant Date" means the date on which an Award is granted by the Committee.

     "Lyondell" means Lyondell Chemical Company.

     "Lyondell Common Stock" means the common stock, par value $1.00 per share,
of Lyondell.

     "Millennium" means Millennium Chemicals Inc.

     "Millennium Common Stock" means the common stock, par value $.01 per share,
of Millennium.

     "Occidental" means Occidental Petroleum Corporation.

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     "Occidental Common Stock" means the common stock, par value $.20 per share,
of Occidental.

     "Option Shares" means the Equistar Shares covered by a particular Equistar
Option.

     "Participant" means an Employee to whom an Award has been granted under
this Plan.

     "Partner" means Lyondell, Millennium or Occidental.

     "Performance Goal" means a standard established by the Committee to
determine in whole or in part whether Performance Shares shall be earned.

     "Performance Share" means the contingent right to receive an amount in cash
that is measured by the value of an Equistar Share and is subject to the
attainment of one or more Performance Goals specified by the Committee.

     "Plan" means the Equistar Chemicals, LP 2001 Incentive Plan, as amended
from time to time.

     "Proportional Fair Market Value" of a Partner's Common Stock means the
product of (i) the Fair Market Value of a share of the Partner's Common Stock
and (ii) the Weighting Factor assigned to that Partner.

     "Strike Price" means the price at which an Equistar Option may be exercised
under the terms of the Award Agreement and which provides the basis for
measurement of the amount payable on exercise of an Equistar Option.

     "Subsidiary" means (i) any corporation, limited liability company or
similar entity of which the Company directly or indirectly owns equity interests
representing more than 50% of the voting power of all classes of equity
interests of such entity which have the right to vote generally on matters
submitted to a vote of the equity owners of such entity, or (ii) any other
entity in which the Company has an equity ownership interest of at least 25%, so
long as such entity is designated by the Committee as a Subsidiary for purposes
of this Plan.

     "Weighting Factor" means the percentage of the Fair Market Value of one
share of the Common Stock of each Partner as determined by the Committee from
time to time. Initially, the Weighting Factors are (a) Millennium, 45%, (b)
Lyondell, 45% and (c) Occidental, 10%.

     3.   Plan Administration and Designation of Participants.

          (a) Eligibility.  All Employees of the Company who, in the judgment of
the Committee, are in a position to contribute significantly to its long-term
profit and growth objectives are eligible for Awards under this Plan.  The
Committee shall select the Participants from time to time by the grant of Awards
under the Plan and, subject to the terms and conditions of the Plan, shall
determine all terms and conditions of the Award.

          (b) Administration.  The Plan shall be administered by the Committee,
which shall have full and exclusive power to interpret this Plan and to adopt
such rules, regulations and

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guidelines for carrying out this Plan as it may deem necessary or appropriate.
The Committee may delegate its duties hereunder to the Chief Executive Officer
or other senior officers of the Company subject to such rules and regulations as
the Committee establishes. The Committee may, in its discretion, retain the
services of an outside administrator for the purpose of performing any of its
functions hereunder. The Committee may, in its discretion, provide for the
extension of the exercisability of an Award, accelerate the vesting or
exercisability of an Award, eliminate or make less restrictive any restrictions
contained in an Award Agreement, waive any restriction or other provision of
this Plan or an Award Agreement or otherwise amend or modify an Award in any
manner that is either (i) not adverse to the Participant holding the Award or
(ii) consented to by such Participant. The Committee may grant an Award to an
individual whom it expects to become an Employee of the Company or any of its
Subsidiaries within the following six months, with such Award being subject to
the individual's actually becoming an Employee within such time period, and
subject to such other terms and conditions as may be established by the
Committee. The Committee may correct any defect or supply any omission or
reconcile any inconsistency in this Plan or in any Award Agreement in the manner
and to the extent the Committee deems necessary or desirable to further the Plan
purposes. Any decision of the Committee in the interpretation and administration
of this Plan shall lie within its sole and absolute discretion and shall be
final, conclusive and binding on all parties concerned.

     No member of the Committee and no officer of the Company to whom the
Committee has delegated authority in accordance with this Plan shall be liable
for anything done or omitted to be done by him or her in connection with the
performance of any duties under this Plan, except for his or her own willful
misconduct or as expressly provided by statute.

     4.   Award Agreement.  Each Award granted hereunder, other than a Cash
Award, shall be described in an Award Agreement, which shall be subject to the
terms and conditions of the Plan.  The Committee shall authorize written
guidelines for the issuance of a Cash Award.

     5.   Types of Awards.

          (a) Equistar Options.  An Award may be in the form of an Equistar
Option.  The terms, conditions and limitations applicable to Equistar Options
awarded to Employees shall be determined by the Committee.

          (b) Performance Shares.  An Award may be in the form of Performance
Shares.  Performance Shares shall be payable only in cash.  The terms,
conditions and limitations applicable to an Award of Performance Shares shall be
determined by the Committee.

          (c) Cash Awards.  An Award may be in the form of a Cash Award.  The
terms, conditions and limitations applicable to any Cash Awards shall be
determined by the Committee.

     6.   Payment of Awards.

          (a) General.  Payment of Awards shall be made only in cash and may
include such restrictions as the Committee shall determine.

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          (b) Deferral.  The Committee may, in its discretion, (i) permit
selected Participants to elect to defer payments of some or all types of Awards
in accordance with procedures established by the Committee or (ii) provide for
the deferral of an Award in an Award Agreement or otherwise.  Any such deferral
may be in the form of installment payments or a future lump sum payment.  Any
deferred payment, whether elected by the Participant or specified by the Award
Agreement or by the Committee, may be forfeited if and to the extent that the
Award Agreement so provides.

          (c) Substitution of Awards.  At the discretion of the Committee, a
Participant may be offered an election to substitute an Award for another Award
or Awards of the same or different type.

     7.   Equistar Option Exercise.  The Committee shall determine the manner in
which an Equistar Option may be exercised in whole or in part.  Upon exercise of
an Equistar Option, the Company will pay to the Participant in cash an amount
equal to the product of: (A) the difference between (i) the Composite Fair
Market Value of an Equistar Share on the date of exercise and (ii) the Exercise
Price, and (B) the number of Option Shares with respect to which an Equistar
Option is exercised.

     8.   Termination of Employment.  Upon the termination of employment by a
Participant, any unexercised, deferred or unpaid Awards shall be treated as
provided in the specific Award Agreement evidencing the Award.  Unless otherwise
specifically provided in the Award Agreement, each Award granted pursuant to
this Plan which is an Equistar Option shall immediately terminate to the extent
the Equistar Option is not exercisable  (or does not become exercisable as a
result of such termination of employment) on the date the Participant terminates
employment with the Company or its Affiliates.

     9.   Assignability.  Except as otherwise provided herein, no Award granted
under this Plan shall be sold, transferred, pledged, assigned or otherwise
alienated or hypothecated by a Participant other than by marital property
settlement or similar domestic relations agreement, decree or order, or by will
or the laws of descent and distribution, and during the lifetime of a
Participant, any Award shall be exercisable only by him, or, in the case of a
Participant who is mentally incapacitated, the Award shall be exercisable by his
guardian or legal representative.  The Committee may prescribe and include in
applicable Award Agreements other restrictions on transfer.  Any attempted
assignment or transfer in violation of this Section shall be null and void.
Upon the Participant's death, the personal representative or other person
entitled to succeed to the rights of the Participant (the "Successor
Participant") may exercise such rights.  A Successor Participant must furnish
proof satisfactory to the Company of his or her right to exercise the Award
under the Participant's will or under the applicable laws of descent and
distribution.

     Subject to approval by the Committee in its sole discretion, all or a
portion of the Awards granted to a Participant under the Plan may be
transferable by the Participant, to the extent and only to the extent specified
in such approval, to (i) the children or grandchildren of the Participant
("Immediate Family Members"), (ii) a trust or trusts for the exclusive benefit
of such Immediate Family Members ("Immediate Family Member Trusts"), or (iii) a
partnership or partnerships in which such Immediate Family Members have at least
ninety-nine percent (99%) of the equity, profit and loss interests ("Immediate
Family Member Partnerships"); provided that

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the Award Agreement pursuant to which such Awards are granted (or an amendment
thereto) must expressly provide for transferability in a manner consistent with
this Section. Subsequent transfers of transferred Awards shall be prohibited
except by will or the laws of descent and distribution, unless such transfers
are made to the original Participant or a person to whom the original
Participant could have made a transfer in the manner described herein. No
transfer shall be effective unless and until written notice of such transfer is
provided to the Committee, in the form and manner prescribed by the Committee.
Following transfer, any such Awards shall continue to be subject to the same
terms and conditions as were applicable immediately prior to transfer, and,
except as otherwise provided herein, the term "Participant" shall be deemed to
refer to the transferee. The consequences of termination of employment shall
continue to be applied with respect to the original Participant, following which
the Awards shall be exercisable by the transferee only to the extent and for the
periods specified in this Plan and the Award Agreement.

     10.  Adjustments.

          (a) The existence of outstanding Awards shall not affect in any manner
the right or power of the Company or its Partners to make or authorize any or
all adjustments, recapitalization, reorganizations or other changes in the
ownership of the Company or its business or any merger or consolidation of the
Company, or any issue of bonds, debentures, preferred or prior preference stock
(whether or not such issue is prior to, on a parity with or junior to the Common
Stock) or other obligations, or the dissolution or liquidation of the Company,
or any sale or transfer of all or any part of its assets or business, or any
other Company act or proceeding of any kind, whether or not of a character
similar to that of the acts or proceedings enumerated above.

          (b) In the event of any Common Stock distribution or split,
recapitalization, extraordinary distribution, merger, consolidation, combination
or exchange of shares of Common Stock or in the event of a change in the
ownership structure of the Company, a merger, consolidation or similar corporate
transaction involving the Company or an Affiliate, the sale of a substantial
portion of the assets of the Company or an Affiliate, or the occurrence of any
other event that the Committee determines justifies an adjustment under the
Plan, the Committee may make such adjustments to outstanding Awards as it deems
necessary and appropriate in its sole discretion, including, without limitation,
modification of the Weighting Factors, Proportional Fair Market Value and the
formula for calculation of Composite Fair Market Value, issuance of additional
or substitute Awards, adjustment of the Exercise Price and/or number of Option
Shares associated with Equistar Options, acceleration of exercisability of
Equistar Options, immediate cashout of Equistar Options, or adjustment of
Performance Goals and targets associated with Performance Shares and Cash
Awards.

     11.  Tax Withholding.  The Company shall have the right to deduct
applicable taxes from any Award payment and withhold, at the time of delivery of
cash under this Plan, an appropriate amount of cash for payment of taxes
required by law or to take such other action as may be necessary in the opinion
of the Company to satisfy all obligations for withholding of such taxes.

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     12.  Amendments or Termination.  The Committee may amend, alter or
discontinue this Plan, except that  no amendment or alteration that would impair
the rights of any Participant under any Award that he has been granted shall be
made without his consent.  No Awards shall be granted more than ten years after
the Effective Date.

     13.  Restrictions.  No payment shall be made with respect to any Award
unless the Company shall be satisfied based on the advice of its counsel that
such payment will be in compliance with applicable federal and state securities
laws.

     14.  Unfunded Plan.  Insofar as it provides for Awards of cash or rights
thereto, this Plan shall be unfunded.  Although bookkeeping accounts may be
established with respect to Participants who are entitled to cash or rights
thereto under this Plan, any such accounts shall be used merely as a bookkeeping
convenience.  The Company shall not be required to segregate any assets that may
at any time be represented by cash or rights thereto, nor shall this Plan be
construed as providing for such segregation, nor shall the Company, the
Partnership Governance Committee or the Committee be deemed to be a trustee of
any cash or rights thereto to be granted under this Plan.  Any liability or
obligation of the Company to any Participant with respect to a grant of cash or
rights thereto under this Plan shall be based solely upon any contractual
obligations that may be created by this Plan and any Award Agreement, and no
such liability or obligation of the Company shall be deemed to be secured by any
pledge or other encumbrance on any property of the Company.  None of the
Company, the Partnership Governance Committee, the Committee or any Affiliate
shall be required to give any security or bond for the performance of any
obligation that may be created by this Plan.

     15.  Miscellaneous.  The granting of any Award shall not impose upon the
Company any obligation to maintain any Participant as an Employee and shall not
diminish the power of the Company or any Affiliate to discharge any Participant
at any time.

     16.  Governing Law.  This Plan and all determinations made and actions
taken pursuant hereto, to the extent not otherwise governed by mandatory
provisions of the Code or the securities laws of the United States, shall be
governed by and construed in accordance with the laws of the State of Texas.

     17.  Effective Date of Plan.  This Plan shall be effective as of the
Effective Date.

                              EQUISTAR CHEMICALS, LP

                                       7<PAGE>   1
                                                                 Exhibit 4.1

                 [LOGO] INVERNESS MEDICAL INNOVATIONS, INC.(TM)

              INCORPORATED UNDER THE LAWS OF THE STATE OF DELAWARE

                                    [NUMBER]
                        THIS CERTIFICATE IS TRANSFERABLE
                 IN CANTON, MA, JERSEY CITY, NJ OR NEW YORK, NY

                                    [SHARES]
                      SEE REVERSE FOR CERTAIN DEFINITIONS

                               CUSIP 46126P 10 6

THIS CERTIFIES THAT

is the owner of

FULLY PAID AND NON-ASSESSABLE SHARES OF THE COMMON STOCK, $.001 PAR VALUE, OF

                      INVERNESS MEDICAL INNOVATIONS, INC.

transferable only on the books of the Corporation by the holder hereof in person
or by duly authorized attorney upon surrender of this Certificate properly
endorsed. This Certificate and the shares represented hereby are issued under
and subject to the laws of the State of Delaware and to the Amended and Restated
Certificate of Incorporation and Amended and Restated By-Laws of the
Corporation, all as in effect from time to time. This Certificate is not valid
until countersigned and registered by the Transfer Agent and Registrar.

     WITNESS the facsimile seal of the Corporation and the facsimile signatures
of its duly authorized officers.

Dated:

/s/ Paul T. Hempel                               /s/ Ron Zwanziger
    Paul T. Hempel                                   Ron Zwanziger
      SECRETARY                         PRESIDENT AND CHIEF EXECUTIVE OFFICER

                      Inverness Medical Innovations, Inc.
                                   CORPORATE
                                      SEAL
                                      2001
                                    DELAWARE

COUNTERSIGNED AND REGISTERED:
  EQUISERVE TRUST COMPANY, N.A.
    TRANSFER AGENT AND REGISTRAR

               /s/ Stephen Cesso
                   Stephen Cesso
               AUTHORIZED SIGNATURE

<PAGE>   2
                      INVERNESS MEDICAL INNOVATIONS, INC.

     The Corporation is authorized to issue more than one class of stock. The
Corporation will furnish without charge to each stockholder who requests a copy
of the powers, designations, preferences and relative, participating, optional,
or other special rights of each outstanding class of stock or series thereof of
the Corporation, and the qualifications, limitations or restrictions of such
preferences and/or rights.

     The following abbreviations when used in the transaction of the face of the
certificate shall be construed as though they were written out in full according
to applicable laws or regulations:

     TEN COM -- as tenants in common           UNIF GIFT MIN ACT
     TEN ENT -- as tenants by the entireties
     JT TEN  -- as joint tenants with
                right of survivorship
                and not as tenants in common

    Additional abbreviations may also be used though not in the above list.

     FOR VALUE RECEIVED, ___________________ hereby sell, assign and transfer
unto

PLEASE INSERT SOCIAL SECURITY OR OTHER
   IDENTIFYING NUMBER OF ASSIGNEE
 ____________________________________
|                                    |
|____________________________________|

_______________________________________________________________________________
 (PLEASE PRINT OR TYPEWRITE NAME AND ADDRESS, INCLUDING ZIP CODE, OF ASSIGNEE)
_______________________________________________________________________________

_______________________________________________________________________________

_________________________________________________________________________Shares
of the common stock represented by the within Certificate, and do hereby
irrevocably constitute and appoint

_______________________________________________________________________Attorney
to transfer the said stock on the books of the within named Corporation with
full power of substitution in the premises.

Dated ________________________________

                                ________________________________________________
                                NOTICE: The Signature to this Assignment must
                                correspond with the name as written upon the
                                face of the certificate in every particular,
                                without alteration or enlargement or any change
                                whatsoever.

SIGNATURE(S) GUARANTEED

_________________________________________________
THE SIGNATURE(S) SHOULD BE GUARANTEED BY AN
ELIGIBLE GUARANTOR OR INSTITUTION (BANKS,
STOCKBROKERS, SAVINGS AND LOAN ASSOCIATIONS AND
CREDIT UNIONS WITH MEMBERSHIP IN AN APPROVED
SIGNATURE GUARANTEE MEDALLION PROGRAM), PURSUANT
TO S.E.C. RULE 17Ad-15.

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